how many batches of tires does the company have to manufacture and sell to have a profit of -$190,000?

Answers

Answer 1

Answer:

The profit equation is

Profit = Revenue - Cost

Let's assume the revenue per batch is $50,000 and the cost per batch is $35,000. Then the profit equation becomes:

Profit = ($50,000 x number of batches) - ($35,000 x number of batches)

Profit = $15,000 x number of batches

We want to find the number of batches that will give a profit of -$190,000, so we can set up the equation:

-$190,000 = $15,000 x number of batches

Solving for the number of batches, we get:

number of batches = -$190,000 / $15,000

number of batches = -12.67

This indicates that the firm would have to produce and sell around 13 batches of tyres in order to make a -$190,000 profit. However, because you can't produce and sell a fraction of a batch, the corporation would have to sell at least 14 batches to make the needed profit.


Related Questions

find the sum


-11 +3 + (-6)

Answers

Answer: -14

Step-by-step explanation:

Break up the question.

(-11 + 3) + (-6)

   V           V

  (-9)       (-14)

-11 + 3 = -9

-9 + (-6) = -14

Answer:

The answer is -14

Step-by-step explanation:

-11+3+(-6)

= -11+3-6

= -14

nine bottles of equal capacity of 4.5 litters of water. how much does x bottles hold​

Answers

6 bottles would hold 3 liters of water.

In general, the total capacity of x bottles would be 0.5x liters, where x represents the number of bottles.

If nine bottles have a total capacity of 4.5 liters, we can determine the capacity of each bottle by dividing the total capacity by the number of bottles.

In this case, we have:

Capacity per bottle = Total capacity / Number of bottles

= 4.5 liters / 9 bottles

= 0.5 liters per bottle.

Now, if we want to find out how much x bottles would hold, we can simply multiply the capacity per bottle by the number of bottles (x). Therefore, the formula to calculate the total capacity of x bottles would be:

Total capacity of * bottles = Capacity per bottle *  Number of bottles

= 0.5  liters per bottle *  x  bottles

= 0.5x liters.

So, x bottles would hold 0.5x liters of water.

For example, if we wanted to find out how much 6 bottles would hold, we could substitute x with 6 in the formula:

Total capacity of 6 bottles = 0.5 * 6 liters

= 3 liters.

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What is the solution to 10 − 3(m − 5) = 2(5 − m)?

Answers

Answer:

15 = m

Step-by-step explanation:

10 − 3(m − 5) = 2(5 − m)

10 - 3m + 15 = 10 - 2m

25 - 3m = 10 - 2m

25 - 10 = - 2m + 3m

15 = m

__________

hope it helps!

Answer:

m=15

Step-by-step explanation:

10 − 3(m − 5) = 2(5 − m)

-3m+25=10-2m

-3m= -2m -15

-m=-15

m=15

Find ||v-w||, if v = 5i - 2j and w = - 4i + 3j.

Answers

We can use the formula for the distance between two points in a plane to find the magnitude of the vector v-w:

||v-w|| = √[(v1-w1)^2 + (v2-w2)^2]

where v1 and v2 are the x and y components of vector v, and w1 and w2 are the x and y components of vector w.

Using the given values for v and w, we get:

v1 = 5, v2 = -2

w1 = -4, w2 = 3

Substituting these values into the formula, we get:

||v-w|| = √[(5-(-4))^2 + (-2-3)^2]

||v-w|| = √[(9)^2 + (-5)^2]

||v-w|| = √[81 + 25]

||v-w|| = √106

Therefore, the magnitude of the vector v-w is √106.

Boris drove 360 miles in 5 hours.
At the same rate, how long would it take him to drive 936 miles?

Answers

Answer:

The answer is 13hours

Step-by-step explanation:

360miles------>5hours

936miles------->x hours

crossmultiply

x×360=936×5

360x=4680

divide both sides by 360

360x/360=4680/360

x=13hours

The percentage data items in a normal distribution that lie between z= -0.5 and z=0.5 is __%?

Answers

The percdentile is 69.15 for z=0.5.Next, take the two percentiles apart.

What is meant by normal distribution?

The normal distribution is an illustration of a continuous distribution of probabilities in which most data points are grouped in the middle of the range and the remaining ones taper off equally to either extreme. The middle of the range is sometimes referred to as the distribution's mean.

The mean, median, and mode are all equal in normal distributions, which are symmetric, unimodal, and asymptotically distributed. A normal distribution is perfectly symmetrical on both sides.

Percentage of data points with z=a and b between two supplied data points

Add the a% sign and subtract the table percentile for z=a from the table percentile for z=b.

The percentile for the data table for z=-0.5 is 30.85.

the percdentile is 69.15 for z=0.5.Next, take the two percentiles apart.

69.15-30.85= 38.3%

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Approximately 38.30% of data points in a normal distribution fall between z = -0.5 and z = 0.5.

What is standard normal distribution?

A special kind of normal distribution called a "standard normal distribution" has a mean () of 0 and a standard deviation () of 1.

When comparing alternative normal distributions with arbitrary mean and standard deviation, the standard normal distribution is frequently used as a reference distribution in statistics and probability theory.

We employ a procedure called standardisation, which entails dividing by the standard deviation and removing the mean from any normal distribution to get a standard normal distribution.

The percentage of data items in a normal distribution that lie between z = -0.5 and z = 0.5 can be found using a standard normal distribution table or a calculator with normal distribution capabilities.

Using a standard normal distribution table, the value for z = -0.5 is 0.3085, and the value for z = 0.5 is 0.6915. Subtracting these values gives:

0.6915 - 0.3085 = 0.3830

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The scatter plot shows the number of hours worked, x, and the amount of money spent on entertainment, y, by each of 24 students.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the money spent on entertainment for a student who works 8 hours.
Note that you can use the graphing tools to help you approximate the line.

Please help!!!’

Answers

The equation of the line of best fit is y = x + 16 and the money spent on entertainment for a student who works 8 hours is $24

The equation of the line of best fit for the data

Drawing the line of best fit, we have the following points

(0, 6) and (16, 22)

The equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 6

Using the points, we have

16m + 6 = 22

So, we have

m =1

So, the equation is

y = x + 6

Predicting for 8 hours

This means that

x = 8

So, we have

y = 8 + 16

y = 24

Hence, the amount is $24

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Will using name-brand microwave popcorn result in a greater
percentage of popped kernels than store- brand microwave popcorn?
To find out, Briana and Maggie randomly selected 10 bags of name-
brand microwave popcorn and 10 bags of store-brand microwave
popcorn. The chosen bags were arranged in random order. Then each
bag was popped for 3.5 minutes, and the percentage of popped kernels
was calculated. The data are displayed in the table.
Name brand 95
95 88 84 94 81 90 97 93 91 86
Store brand
91 89 82 82 77 78 84 86 86 90

Answers

Accordingly, utilising name-brand microwave popcorn rather than store-brand microwave popcorn is anticipated to yield a higher percentage of popped kernels based on the results of this study.

Test statistic: What is it?

A test statistic is a numerical summary of a sample used in statistics to evaluate the strength of the evidence presented by the data in support of a certain conjecture about the population from which the sample was taken. A test statistic determines how many standard errors the observed data deviates from the predicted value by comparing it to what would be expected under the null hypothesis. To ascertain if an observed effect or difference between groups is the result of chance or if it is statistically significant, test statistics are employed in hypothesis testing.

Here,

We can compare the mean percentage of popped kernels between the two groups using a hypothesis test to see if using name-brand microwave popcorn yields a higher proportion of popped kernels than store-brand microwave popcorn.

Let μ1 be the mean percentage of popped kernels for name-brand microwave popcorn and μ2 be the mean percentage of popped kernels for store-brand microwave popcorn.

The null hypothesis states that there is no distinction between store-brand and name-brand microwave popcorn in terms of the mean percentage of popped kernels:

H0: μ1 - μ2 = 0

The alternate theory is that name-brand microwave popcorn has a mean percentage of popped kernels that is higher than that of store-brand microwave popcorn:

Ha: μ1 - μ2 > 0

This hypothesis can be examined using a two-sample t-test with unequal variances. For a one-tailed test with 18 degrees of freedom and a significance threshold of 0.05, the crucial t-value is 1.734.

Based on the information provided, we can determine that the sample mean percentage of popped kernels for name-brand microwave popcorn is 90.9% with a sample standard deviation of 5.09% and the sample mean percentage of popped kernels for store-brand microwave popcorn is 85.9% with a sample standard deviation of 4.67%.

We can calculate the test statistic as follows:

t = (x1 - x2 - 0) / √(s1²/n1 + s2²/n2)

t = (90.9 - 85.9) / √((5.09²/10) + (4.67²/10))

t = 2.26

We can reject the null hypothesis and come to the conclusion that there is enough evidence to support the claim that using name-brand microwave popcorn results in a greater percentage of popped kernels than store-brand microwave popcorn at the 0.05 level of significance because the calculated t-value (2.26) is greater than the critical t-value (1.734).

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a probability experiment consists of rolling a fair 8-sided die. Find the probability of the event below. rolling a 3

Answers

On a fair 8-sided die, the probability of rolling a 3 is 1/8, or 0.125, which is equivalent to 12.5% in percentage terms.

What is probability?

The possibility or likelihood that an event will occur is measured by probability.

A number between 0 and 1, where 0 indicates that the occurrence is hypothetical and 1, meaning it is inevitable, is used to express it.

To put it another way, probability is the ratio of likely outcomes to real outcomes that pertain to a particular occurrence.

Every result (rolling any number from 1 to 8) is equally likely since the die is fair.

There are only two ways to roll a 3, and there are a total of eight outcomes.

As a result, the probability of rolling a 3 is:

P(rolling a 3) = 1/8

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what is the area of a circle with the diameter of 22 in with pi and a=Nr 2

Answers

Answer:

380.1327 square units

Step-by-step explanation:

A=pi*r^2

A=pi*121

A=380.1327

Harry used 2 1/4 gallons of paint for the living room and 1 3/4 gallons of paint for his bedroom. How many gallons of paint did he use?

Answers

According to given fraction values, Harry used 4 gallons of paint in total.

What is fraction?

A fraction is a way of representing a part of a whole or a ratio of two numbers. It consists of a numerator (top number) and a denominator (bottom number) separated by a horizontal line.

To find the total amount of paint Harry used, we need to add the amount of paint he used for the living room and the amount of paint he used for his bedroom. We have:

2 1/4 gallons + 1 3/4 gallons

To add these two mixed numbers, we need to find a common denominator. The smallest common denominator of 4 and 4 is 4. So we can rewrite the mixed numbers as improper fractions:

2 1/4 = 9/4

1 3/4 = 7/4

Now we can add the two fractions:

9/4 + 7/4 = 16/4

Simplifying the fraction, we get:

16/4 = 4

Therefore, Harry used 4 gallons of paint in total.

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If angle K measures 110°, angle J equals 36°, and k is 70 feet, then find j using the Law of Sines. Round your answer to the nearest tenth.

Answers

Answer:

  43.8 feet

Step-by-step explanation:

In a triangle with angle K = 110°, J = 36°, and k = 70 feet, you want the measure of side j using the law of sines.

Law of sines

The law of sines tells you side lengths in a triangle are proportional to the sine of the opposite angle. This means ...

  j/sin(J) = k/sin(K)

  j = k·sin(J)/sin(K) = (70 ft)·sin(36°)/sin(110°)

  j ≈ 43.8 ft

The length of side j is about 43.8 feet.

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Write an equation in slope-intercept form for the graph shown.

Answers

Answer: y = 2x - 2

Step-by-step explanation:

you can see two points on the graph:

(0, -2) and (3, 3)

Using these to calculate the slope gives us:

(3+2)/(3-0) = 6/3 = 2

the y intercept is -2 as we can see

so the equation in slope intercept form is:

Can you please show your work

Answers

The value when x approaches to 0 the function approaches to 2.718.

What is the constant e?

In many different mathematical situations, particularly in calculus and analysis, the special number e is used. Although its precise number is an infinite decimal with no pattern, it is roughly equal to 2.71828. The limit of the formula as n approaches infinity is the definition of the constant e. The letter e stands for this limit, which is real and equivalent to a particular number. In many branches of mathematics and science, including the study of exponential and logarithmic functions, the constant e is crucial. It can be used in physics, probability theory, and mathematics, among other things.

The given function is: [tex]\ lim (x \to 0) \frac{2^x - 1}{x}[/tex].

Substituting the value of x = 0.01 we have:

[tex]\ lim (x \to 0) \frac{2^{0.01} - 1}{0.01}\\[/tex]

f(x) = 2.704

Similarly substituting the values of x from the table we have:

x                   f(x)

0.01            2.704

0.001          2.718

0.0001       2.7182

-0.0001      2.7181

-0.001         2.716

-0.01            2.669

Hence, as the x approaches to 0 the function approaches to 2.718.

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Drag equivalent fractions into the correct boxes.
2
4

2
3

6
8

2
6

4
8

3
4

1
3

4
6

Answers

The equivalent fractions when paired up would be:

2 / 4 - 4 / 8 2 / 3 - 4 / 6 6 / 8 - 3 / 4 2 / 6 - 1 / 3

How to find the equivalent fractions ?

We must first simplify each fraction before categorizing them according to their simplified form in order to couple equivalent fractions. Since 2/4 and 4/8 may both be reduced to 1/2, they are equal.

The same is true of 2/3 which may be reduced to 4/6, they are both equivalent. 3/4 is the same as 6/8, they are equivalent.

Since 1/3 may be simplified to 2/6, they are equivalent.

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According to the information, the classification of the fractions would be: 3/4 = 6/8, 1/3 = 2/6, 4/6 = 2/3

How to classify the fractions in the correct option?

To classify the fractions in the correct option box we can carry out two procedures. The first one is to simplify the fractions to identify which ones are equivalent to those in the boxes. On the other hand, we can do the divisions of the fractions and those that have the same results go in the same box. According to the above, the fractions are classified as follows:

3/4 = 6/81/3 = 2/64/6 = 2/3

Note: This question is incomplete. Here is the complete information:

Attached image

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Question 5 of 10
If your starting salary is $50,000 and you receive a 4% increase at the end of
every year, what is the total amount, in dollars, you will earn over the first 16
years that you work?
Round your answer to the nearest whole dollar, and express your answer
without using commas.
Answer here

Answers

Answer:

80000

Step-by-step explanation:

4% increase of 50000 is 2000 at the end of each year

so 2000*16=32000

50000+32000=82000

nearest whole dollar is 80000

Megan surveyed the 8th grade to find which school activities they attended last weekend. The results are shown in the two-way table.

Answers

The valid conclusions about the data being surveyed is Option A: Of the students who attended the basketball game, fewer than half of them also attended the school play.

What is a survey?

Questioning a group of people in a survey is one way to collect information from them. Surveys can be carried out using a variety of methods, including paper and pencil, online forms, the telephone, or in-person interviews.

A. Of the students who attended the basketball game, fewer than half of them also attended the school play. (True)

To calculate this, we need to divide the number of students who attended both the basketball game and the school play (55) by the total number of students who attended the basketball game (118).

55/118 = 0.466 = 46.6%, which is less than half.

B. More than half of the students who were surveyed attended the school play and did not attend the basketball game. (False)

To calculate this, we need to add up the number of students who attended the school play and did not attend the basketball game (63) and divide by the total number of students surveyed (221).

63/221 = 0.285 = 28.5%, which is less than half.

C. Students who attended the school play were more likely not to attend the basketball game. (False)

To calculate this, we need to compare the number of students who attended the school play and did not attend the basketball game (63) to the number of students who did not attend the school play and did not attend the basketball game (15).

63/78 = 0.808 = 80.8% and 15/78 = 0.192 = 19.2%. Since 80.8% is greater than 19.2%, we can conclude that students who attended the school play were more likely to attend the basketball game.

Therefore, valid conclusions is A.

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12(2x+11)=12(2x+12) solve for x

Answers

Answer:

No solution

Step-by-step explanation:

12(2x+11) = 12(2x+12)

24x + 132 = 24x + 144

0 + 132 = 144

0 = 12

This is not true, 0 ≠ 12, so there is no solution.

no value of x will make the equation true.

The equation [tex]12(2x+11)=12(2x+12)[/tex] 12(2x+11)=12(2x+12) is linear in one variable (x) with coefficients and constants that are real numbers. It can be simplified by performing basic algebraic operations, such as distributing and simplifying, to solve for the value of x.

To solve for x in the equation[tex]12(2x+11)=12(2x+12)[/tex] 12(2x+11)=12(2x+12), we will follow the steps of algebraic manipulation:

First, we will simplify both sides of the equation by distributing the 12 on each side:

[tex]12(2x+11)=12(2x+12)[/tex] 12(2x+11) = 12(2x+12)

[tex]24x + 132 = 24x + 144[/tex] 24x +132 = 24x + 144

Next, we will simplify further by subtracting 24x from both sides:

[tex]24x - 24x + 132 = 144[/tex] 24x - 24x + 132 = 144

[tex]132 = 144[/tex] 132 = 144

Since this is not a true statement, the equation has no solution. Therefore, no value of x will make the equation true.

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QUICK I’LL MARK YOU BRAINLIEST!! HELP ME FILL OUT THE SCRAMBLE WORD ON TOP!

Answers

Answer:

it can be rewritten as a percent

Step-by-step explanation:

2
Type the correct answer in the box. Use numerals instead of words.
What value of x satisfies this equation?
4(2.5)2^x= 4

The value of x is

Answers

The value of x that satisfies this equation 4(2.5)2^x= 4 is x = -1.32

What value of x satisfies this equation?

From the question, we have the following parameters that can be used in our computation:

4(2.5)2^x= 4

This gives

(10)2^x= 4

Divide the equation by 10

So, we have the following

2^x = 0.4

Take the logarithm of both sides and evaluate

x = -1.32

Hence, the solution is x = -1.32

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5. Find two equations of a circle if one of the end points of the diameter is at the origin and the radius is 3.

Answers

if one of the end points of the diameter is at the origin and the radius is 3 then the the equation of the circle in general form is:x² + y² - 3x = 0

What is Equation?

An equation is a statement that shows the relationship between two or more variables using mathematical symbols. It expresses the equality or inequality between the values of the variables on either side of the equation.

According to the given information :

Since one of the endpoints of the diameter is at the origin, we know that the center of the circle is also at the origin. Let (x, y) be any point on the circle. Then, using the distance formula, we have:

√(x² + y²) = 3

Squaring both sides, we get:

x² + y² = 9

So, the equation of the circle in standard form is:

x² + y² - 9 = 0

Another way to write the equation of the circle is in general form, which is:

x² + y² + Dx + Ey + F = 0

where D, E, and F are constants. To find the values of D, E, and F, we substitute the coordinates of one of the points on the circle into the general form equation:

(0)² + (0)² + D(0) + E(0) + F = 0

F = 0

So, the equation of the circle in general form is:

x² + y² + Dx + Ey = 0

To find the values of D and E, we substitute the coordinates of another point on the circle into this equation. Let's use the point (3, 0) since we know it lies on the circle. Substituting these values, we get:

(3)²+ (0)² + D(3) + E(0) = 0

9 + 3D = 0

D = -3

Therefore, the equation of the circle in general form is:

x² + y² - 3x = 0

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Mr burns built a wooden platform for the drama club at the school where he teaches the shape below represents the dimensions of this wooden platform picture is not to scale

Answers

The area of the wooden platform built by Mr. Burns for the drama club at the school is 288 square feet.

What are the dimensions of a rectangle?

A rectangle has two dimensions: a length and a width that are both perpendicular to it. An oval's or a triangle's interior likewise has two dimensions.

The area of a rectangle is determined by dividing its length by its width. Accordingly, the platform's area can be determined as follows:

Area = Length x Width

Area = 24 feet x 12 feet

Area = 288 square feet

Therefore, the area of the wooden platform built by Mr. Burns for the drama club at the school is 288 square feet.

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Write a whole number in each blank to show an expression that is equivalent to 12n-8

_•n+5n-_

Answers

To show an expression that is equivalent to 12n - 8 using the given terms, we can factor out 4 from the first term:

12n - 8 = 4(3n) - 8

We can then add and subtract 20 inside the parentheses to create the desired expression:

12n - 8 = 4(3n) - 8 = 4(3n + 5n - 20) = 4(8n - 20)

Therefore, the whole numbers that should be placed in the blanks are 3 and -20, respectively.

So the equivalent expression is 4(3n + 5n - 20).

Infuse 0.8 liters for 9 hours at a drop factor of 60 gtt/ ml. how many ml will be infused per hour

Answers

According to the question of drop factor, the answer is 53.3ml that will be infused per hour.

What is drop factor?

Drop factor is a mathematical concept related to the concept of rate. It is a unitless coefficient used to adjust a given rate. Drop factor is commonly used to represent the rate of change in a linear equation, and can be used to calculate the rate at which a given value decreases over time. The drop factor is calculated by subtracting the previous value from the current value and dividing it by the change in time. This value can then be used to calculate the rate of change over time.

The calculation for the amount of ml that will be infused per hour is as follows:

Volume (L) x Drop Factor (gtt/ml) = Total Drops

0.8 L x 60 gtt/ml = 480 drops

Total Drops / Time (hours) = Drops/Hour

480 drops / 9 hours = 53.3 drops/hour

Since 1 drop is equal to 1 ml, this means 53.3 ml of fluid will be infused per hour.

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Which inequality represents the graphed region in factored form?

y less-than-or-equal-to negative .25 (x + 12)(x minus 8)
y less-than-or-equal-to negative 4 (x minus 12)(x + 8)
y less-than-or-equal-to negative 4 (x + 12)(x minus 8)
y less-than-or-equal-to negative .25 (x minus 12)(x + 8)

Answers

The correct inequality that represents the graphed region in factored form is: option a.) [tex]y \leq -0.25 (x + 12)(x - 8)[/tex]

How to check if inequality represents the graphed region in factored form?[tex]y \leq -0.25 (x + 12)(x - 8)[/tex]: represents a region below or on the graph of the quadratic function with factors [tex](x + 12)(x - 8)[/tex], and the coefficient of y is -0.25.[tex]y \leq -4 (x - 12)(x + 8)[/tex]: represents a region below or on the graph of the quadratic function with factors[tex](x + 12)(x - 8)[/tex], and the coefficient of y is -4.[tex]y \leq -4 (x + 12)(x - 8)[/tex]: represents a region below or on the graph of the quadratic function with factors [tex](x + 12)(x - 8)[/tex], and the coefficient of y is -4.[tex]y\leq -0.25 (x - 12)(x + 8)[/tex]: represents a region below or on the graph of the quadratic function with factors[tex](x - 12)(x + 8)[/tex], and the coefficient of y is -0.25.

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in the game of Yahtzee, five (6-sided) dice are used. How many different outcomes are possible when rolling these 5 dice?

Answers

There are 7,776 different outcomes when rolling five 6-sided dice.

How do we find the outcome of rolling 5 6-sided dice?

In the game of Yahtzee, the dice used has 6 sides. This means that each dice has 6 possible outcomes.  

Dice 1 = 6outcomes  Dice 2 = 6 outcomes  dice 3 = 6outcomes

Dice 4 = 6outcomes dice 5 = 6outcomes

We multiply all the outcomes by the total number of the 6-sided dice will be used for the game, which is 5.

We can express it as follows

6 × 6 × 6 × 6 × 6

It can also be expressed as 6⁵, the power 5 being the number of times that 6 will be multiplied

= 7776

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You need a 50% alcohol solution. On hand, you have a 405 mL of a 35% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?

Answers

On solving the equations the amount of 95% mixture required is obtained as 135 mL.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let's call the amount of 95% alcohol mixture we need to add "x".

We want to end up with a 50% alcohol solution, so the amount of pure alcohol in the final solution should be 50% of the total volume.

The amount of pure alcohol in the 405 mL of 35% alcohol mixture is -

0.35 × 405 = 141.75 mL

Let's set up an equation to solve for x -

0.95x + 141.75 = 0.5(x + 405)

First, let's distribute the 0.5 on the right side -

0.95x + 141.75 = 0.5x + 202.5

Subtract 0.5x and 141.75 from both sides -

0.45x = 60.75

Divide both sides by 0.45 -

x = 135

Therefore, you need to add 135 mL of the 95% alcohol mixture to obtain the desired 50% alcohol solution.

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Mr burns built a wooden platform for the drama club at the school where he teaches the shape below represents the dimensions of this wooden platform, Answer options: 24, 60, 72, 84

Answers

The dimensions of the wooden platform are 24 feet long by 60 feet wide, making the area 1440 square feet and the perimeter 168 feet.

What is area?

Area is a two-dimensional measurement of a surface, usually measured in square units, such as square feet or square meters. It is used to measure the size of a room, a piece of land, an object, or any other two-dimensional shape. Area is also used to calculate the perimeter, or distance around an object, or the volume of a three-dimensional object. It is an important concept in mathematics and helps us understand the world around us.

The wooden platform built by Mr Burns has a rectangular shape with a length of 24 feet and a width of 60 feet. This yields an area of 1440 square feet (24 x 60 = 1440). The perimeter of the platform is 168 feet (2 x 24 + 2 x 60 = 168).

The platform is large enough to accommodate the entire drama club. It is also big enough to accommodate other activities, allowing the drama club to have a larger space for their performances. The platform also provides a secure base for the club to perform on.

The dimensions of the wooden platform are 24 feet long by 60 feet wide, making the area 1440 square feet and the perimeter 168 feet. The size of the platform is suitable for the size of the drama club, and its sturdy construction will give them a secure and safe place to perform.

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Need help asap pls and thx pic is attached

Answers

The value of x in the right triangle is 5.6 units.

How to find the side of a right triangle?

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side length x of the right triangle can be found using trigonometric ratios as follows:

tan 48 = opposite / adjacent

where

opposite side = x

adjacent side = 5

Hence,

tan 48 = x / 5

cross multiply

x = 5 tan 48

x = 5 × 1.11061251483

x = 5.55306257415

Therefore,

x = 5.6 units

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A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?

Answers

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

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