The same item is on sale at two stores. Which one is the better price? 60% off $60 or 55% off %50

Answers

Answer 1

Answer:

The item when it is costs $50 and there is a 55% item, as the cost would be $22.50

Step-by-step explanation:

Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.

[tex]N(P)=O-(P*O)[/tex], where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)

First store:  Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):

[tex]N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24[/tex]

Second store:  For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):

[tex]N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50[/tex]

Thus, the second store has the better price


Related Questions

Kelly bought a new SUV for $28,000. She made a down payment of $11,000 and has monthly payments of $332.63 for 5 years. She is able to pay off her loan at the end of 36 months. Using the actuarial method, find the unearned interest and payoff amount.

Answers

The unearned interest and the payoff amount is $11,022.12 and $18,784.87 respectively

Given data ,

Kelly bought a new SUV for $28,000. She made a down payment of $11,000 and has monthly payments of $332.63 for 5 years.

She is able to pay off her loan at the end of 36 months.

Now , Total interest = (monthly payment x number of months) - loan amount

Total interest = ($332.63 x 60) - $17,000

Total interest = $19,957.80

Next, we need to calculate the interest that has already been paid over the first 36 months of the loan. We can use the formula:

Interest paid = (monthly payment x number of months) - (loan amount - down payment)

Interest paid = ($332.63 x 36) - ($28,000 - $11,000)

Interest paid = $8,935.68

The unearned interest is the difference between the total interest and the interest paid so far:

Unearned interest = total interest - interest paid

Unearned interest = $19,957.80 - $8,935.68

Unearned interest = $11,022.12

To find the payoff amount, we need to add the remaining principal balance to the unearned interest:

Payoff amount = remaining balance + unearned interest

To calculate the remaining balance, we can use the formula for the present value of an annuity:

Remaining balance = monthly payment x (1 - (1 + r)^-n) / r

Where r is the monthly interest rate and n is the number of remaining months. We can solve for r by using the total interest calculated earlier:

r = (Total interest / loan amount) / 12

r = ($19,957.80 / $17,000) / 12

r = 0.0986%

Using this interest rate and n = 24 (the remaining 24 months of the loan), we can calculate the remaining balance:

Remaining balance = $332.63 x (1 - (1 + 0.0986%)^-24) / 0.0986%

Remaining balance = $7,762.75

Payoff amount = $7,762.75 + $11,022.12

Payoff amount = $18,784.87

Hence , the interest is solved

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For the graph of a function y​=f(x) shown to the​ right, find the absolute maximum and the absolute​ minimum, if they exist. Identify any local maxima or local minima.

Answers

Answer:

B) There is no absolute max for y=f(x)

Step-by-step explanation:

There is no absolute max as the function increases infinitely

However there is an absolute minimum at x=0

Helpppppppp pleaseeeeee

Answers

The value of the product of -4  row one and row 3 is [90    -9     -1]

What is the product of a matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or expression.

The given matrix is

[tex]\left[\begin{array}{ccc}1&2&1\\0&4&-2\\4&-1&6\end{array}\right] \left[\begin{array}{ccc}-5&\\3\\-8&\end{array}\right][/tex]

the product is given as

-4[1    2    1]  + [4    -1     3]

= [ -4 -8   -4]   +  [  4   -1    3]

= [90    -9     -1]

The sum of the product is [90    -9     -1]

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Solve the following system of equations.

Answers

The solutions for the system of equations " 3x²-2y²+5=0 and 2x²-y²+2=0" are :

First Solution : x = 1, y = 2

Second Solution : x = 1, y = -2

Third Solution : x = -1, y = 2

Fourth Solution : x = -1 , y = 2.

In order to solve the system of equations 3x²-2y²+5=0 and 2x²-y²+2=0, we use substitution method;

From the second equation, we solve for y² in terms of x²:

The second equation is : 2x² - y² + 2 = 0;

We get, y² = 2x² + 2

Substitute this expression for y² into the first equation:

We get,

3x² - 2(2x² + 2) + 5 = 0

3x² - 4x² - 4 + 5 = 0

-x² + 1 = 0

x² = 1

We get, x = ±1

Substitute these values of x into the equation for y²:

y² = 2x² + 2

For x = 1, y² = 4,

Which means the solution set is (1,2) and (1,-2),

For x = -1, y² = 4

the solution set is (-1,2) and (-1,-2).

Therefore, the solutions to the system of equations are (1, 2), (1,-2), (-1,2) and (-1, 2).

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On average, a front desk operator receives 2 calls per 30 seconds.
(1)Find the probability that at most 1 call is received in 10 seconds ​

Answers

The probability that at most 1 call is received in 10 seconds is given as follows:

0.8557 = 85.57%.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are listed and explained as follows:

x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.

On average, a front desk operator receives 2 calls per 30 seconds, hence the mean for 10 seconds, which is one third of the time, is given as follows:

[tex]\mu = \frac{2}{3}[/tex]

The probability of at most one call is given as follows:

P(X <= 1) = P(X = 0) + P(X = 1)

Hence:

[tex]P(X = 0) = \frac{e^{-\frac{2}{3}}\frac{2}{3}^{0}}{(0)!} = 0.5134[/tex][tex]P(X = 1) = \frac{e^{-\frac{2}{3}}\frac{2}{3}^{1}}{(1)!} = 0.3423[/tex]

Hence:

P(X <= 1) = P(X = 0) + P(X = 1) = 0.5134 + 0.3423 = 0.8557 = 85.57%.

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You are making scarves for presents. Each scarf needs 5/6 yd of fabric. How many yards of fabric do you need for 6 scarves?

Answers

You would convert 5/6 in to a decimal with is 0.83 then you times that by 6 and get 4.98

-3k - 7 ≤ 17 help!!!!!!!!!!!!!!!

Answers

the answer is
k is less than or equal to -8
work in the pic i added but i’ll explain it too :)
you move the 7 to the right side of the equation by adding it to both sides.
now you have
-3k < 24
then you isolate the k by dividing both sides by -3
then you get
k is less than or equal to -8

x+2y=5
4x+8y=20
I need help asap

Answers

Answer:

(x, -1/2x + 5/2) or infinitely many solutions

Step-by-step explanation:

We can solve the system of equations using substitution.  We can start by isolating x in the first equation.  Then, we can plug in the entire equation made from isolating for x in the second equation, which will allow us to find y:

Isolating:

x = -2y + 5

Plugging in and solving for y:

4(-2y + 5) + 8y = 20

-8y + 20 + 8y = 20

20 = 20

We see that we get a constant equal to another constant.  Whenever you get this as a solution to a system of equations, this means that there are infinitely many solutions. We can express the general rule for the solution in coordinate form by isolating y in at least one of the equations:

y = -1/2x + 5/2

Thus, the general rule for the solution to the system of equations is

(x, -1/2x + 5/2), so you can either put this general rule as the answer or write solution = infinitely many solutions

You can see that there are infinitely many solutions by plugging in any number for x into the two equations and see that you get 5 for the equation and 20 for the second equation.  Let's try 4 for x and 0 for x:

4 for x in first equation:

4 + 2(-1/2(4) + 5/2) = 5

4 + 2(0.5) = 5

4 + 1 = 5

5 = 5

4 for x in the second equation

4(4) + 8(-1/2(4) + 5/2) = 20

16 + 8(0.5) = 20

16 +4 = 20

20 = 20

0 for x in the first equation:

0 + 2(-1/2(0) + 5/2) = 5

0 + 2(2.5) = 5

5 = 5

0 for x in the second equation:

4(0) + 8(-1/2(0) + 5/2) = 20

0 + 8(2.5) = 20

20 = 20

100 POINTS!!!!!! please answer will give brainliest If the length of each side of the right triangle shown on the grid is measured in cm; find the area of the triangle: 25 cm2 50 cm2 100 cm? 225 cm?'

Answers

Answer:

B) 50cm^2

Step-by-step explanation:

0.6/(-0.9- -0.5 x -0.3)

Answers

The value of the expression is -0.8

What is PEDMAS?

PEDMAS can be described as a mathematical acronym that is used for the representation of arithmetic operations on the basis of how they are to be carried out sequentially in an equation.

The alphabet represents different operations. They are;

P represents parenthesesE represents exponentsD represents divisionM represents multiplicationA represents additionS represents subtraction

From the information given, we have that;

0.6/(-0.9- -0.5 x -0.3)

Multiply the values

0.6/(-0.9 +0. 15)

add the values

0.6/0. 75

Now, divide the values

-0.8

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Pyramid A and Pyramid B are similar. Pyramid A has a volume of 648m° and Pyramid B has a volume of 1029m?. What is the ratio of the surface areas of Pyramid A to Pyramid B?

Answers

The ratio of the surface area of Pyramid A to Pyramid B is: 36/49

We have the information from the question is:

Pyramid A and Pyramid B are similar.

The volume of Pyramid A is 648 [tex]m^3[/tex]

The volume of Pyramid B is 1029 [tex]m^3[/tex]

To find the ratio of the surface areas of Pyramid A to Pyramid B.

Now, As we know that:

If two solids are similar, then the ratio  of their volumes is equal to the cube

of the ratio of their corresponding linear measures.

[tex]\frac{Vol of A}{Vol of B} =(\frac{a}{b} )^3 =\frac{684}{1029}=\frac{216}{343}\\ \\ \frac{a}{b}=\frac{6}{7}[/tex]

If two solids are similar, then the n ratio of their surface areas is equal  to the square of the ratio of their  corresponding linear measures.

Surface area of A/ Surface area of B [tex]=(\frac{a}{b} )^2=\frac{36}{49}[/tex]

So, the ratio of the surface area of Pyramid A to Pyramid B is: 36/49

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1 Soo divides a square into sixths. She colors one of the
equal parts red. What fraction of the square is red?

Answers

The fraction of the square that is red is 1/6.

Define fraction

A fraction is a number that represents a part or parts of a whole. It consists of two numbers separated by a horizontal or diagonal line, with the number above the line (numerator) representing the part and the number below the line (denominator) representing the whole. For example, the fraction 3/4 represents three parts out of a whole that is divided into four equal parts.

A square divided into six equal parts has six equal sixths.

If Soo colors one of these equal parts red, then she has colored one-sixth of the square red.

Therefore, the fraction of the square that is red is 1/6.

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Hypothesis testing question.

From a sample of 30 patients, Divoc Health Group found that the mean days for a patient to discharge is 25 days. The hospitalization duration was assumed to follow a normal distribution. Last year, the mean days for a patient to discharge was 20 days with a standard deviation of 5 days. Divoc Health Group suspects that the mean days for a patient to discharge has increased because of Covid-19 cases and other health-related issues. Divoc Health Group decides to carry out a hypothesis test.

a) State the null and alternative hypotheses.

b) At a 5% significance level, is there sufficient evidence to conclude that the mean days for a patient to discharge has increased? Show all steps clearly. [Express your answers up to 3 decimal places]

Based on the information, Divoc Health Group now samples an additional 10 clients. The mean days for a patient to discharge were 22 days.

c) Using the new information, construct a 95% confidence interval for the mean days for a patient to discharge. [Express your answers up to 3 decimal places]

d) What is the minimum sample size required if Divoc Health Group wants to estimate the mean days for a patient to discharge to within 2 days of error with a 99% confidence?

Answers

a) Null: Mean = 20 days; Alt: Mean > 20 days. b) supported by t-value 6.708 > critical value at α=0.05. c) 95% confidence interval for mean patient discharge time is between 20.528 and 23.472 days, d) 99% confidence, a minimum sample size of 67 patients is required.

a) The null hypothesis is that the mean days for a patient to discharge is still 20 days, while the alternative hypothesis is that the mean days for a patient to discharge has increased and is now greater than 20 days.

Null hypothesis: 0:  = 20

Alternative hypothesis: 1:  > 20

b) We can use a one-sample t-test to test the hypothesis. We will use a significance level of 0.05.

The test statistic is given by:

t = (x - ) / (s / √n)

where x is the sample mean,  is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Here, x = 25,  = 20, s = 5, and n = 30. Plugging these values into the formula, we get:

t = (25 - 20) / (5 / √30) = 6.708

The degrees of freedom (df) for the t-distribution is n - 1 = 29. Using a t-table or calculator, the p-value for a one-tailed test with df = 29 and t = 6.708 is < 0.0001.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis. There is sufficient evidence to conclude that the mean days for a patient to discharge has increased.

c) To construct a 95% confidence interval for the mean days for a patient to discharge, we use the formula:

CI = x ± tα/2 * (s/√n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the critical value for a t-distribution with df = n-1 and α = 0.05/2 = 0.025.

Here, x = 22, s = 5, and n = 40 (30 from the first sample + 10 from the second sample). The critical value for tα/2 with df = 39 is 2.022.

Plugging these values into the formula, we get:

CI = 22 ± 2.022 * (5/√40) = (20.528, 23.472)

Therefore, we can be 95% confident that the true mean days for a patient to discharge is between 20.528 and 23.472 days.

d) To find the minimum sample size required to estimate the mean days for a patient to discharge to within 2 days of error with a 99% confidence, we use the formula:

n = (zα/2 * s / E)²

where zα/2 is the critical value for a z-distribution with α = 0.01/2 = 0.005, s is the sample standard deviation (which we assume is the same as before, i.e., s = 5), and E is the desired margin of error (which is 2 days).

Plugging in the values, we get:

n = (2.576 * 5 / 2)² = 66.18

Therefore, the minimum sample size required is 67 patients.

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given h(t)=4t and k(t)=t+5t−1 , determine the expressions that are equal to these combinations of h(t) and k(t) . h(t)+k(t) h(t)−k(t) h(t)+k(t)h(t)−k(t) t2+t+4t2+9t−4 −t2+9t−4t2+t+4 t2+4t+4t2−1 −t2+t+4t2−t −t2+4t−6t2−1 t2+9t−4t2−t

Answers

The expressions are written as;

h(t)+k(t) = 10t - 1

h(t)−k(t) = -2t + 1

How to determine the expressions

Note that algebraic expressions are described as expressions that are made up of coefficients, variables, terms, constants and factors.

These expressions are made up of arithmetic operations, which includes;

AdditionMultiplicationDivisionBracketParenthesesSubtraction

From the information given, we have that;

h(t)=4t

k(t)=t+5t−1

To determine the value of h(t) + k(t), we have;

4t + t + 5t - 1

add the like terms, we get;

10t - 1

To determine h(t) = k(t)

4t- t - 5t + 1

add like terms

-2t + 1

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Transactions on Furnell's credit card are shown for the month of June. The interest rate is 1.4% per month.

June 1 Balance $352.12
June 4 Sears $331.89
June 8 eBay $81.58
June 15 Outback $30
June 18 Payment $200




Find the average daily balance $
184.89

Find the interest for the month $

Find the balance for the following month $

Answers

The balance for the following month is $598.18.

How to solve

The average daily balance for June is $184.89.

To calculate the interest for the month, multiply the average daily balance by the interest rate: $184.89 * 1.4% = $2.59.

To find the balance for the following month, add the initial balance, transactions, and interest, then subtract the payment: $352.12 + $331.89 + $81.58 + $30 + $2.59 - $200 = $598.18.

The balance for the following month is $598.18.


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5^-2 x ³√8

answer as a decimal

Answers

Answer: We can start by simplifying the cube root of 8:

³√8 = 2

Next, we can rewrite 5^-2 as 1/5^2:

1/5^2 x 2 = 1/25 x 2 = 2/25

So the answer, as a decimal, is 0.08 (or 0.08 rounded to two decimal places).

if (-8,3) lies on the circle and its Center is (-4,3) find the radius​

Answers

If (-8,3) lies on the circle and its Center is (-4,3) then, the radius of the circle is 4.

We know that the center of the circle is (-4, 3). Let's call the radius of the circle "r".

The distance between the center of the circle and the point (-8, 3) on the circle is equal to the radius "r".

Using the distance formula, we can find the distance between these two points;

d =√[(x2 - x1)² + (y2 - y1)²]

d = √[(-8 - (-4))² + (3 - 3)²]

d = √[(-8 + 4)² + 0²]

d = √[4²]

d = 4

Since the distance between the center of the circle and the point on the circle is equal to the radius, we have;

r = d = 4

Therefore, the radius of the circle is 4.

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With workings please

Answers

The probability that he passes Math and does not pass Physics is given as follows:

0.28 = 28%.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probabilities for each event is given as follows:

Passes Math: 0.7.Does not pass Physics: 1 - 0.6 = 0.4.

The events are independent, hence the probability that he passes Math and does not pass Physics is given by the multiplication of the probabilities of each event, as follows:

0.7 x 0.4 = 0.28 = 28%.

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using calculations show that the height of the barrel of oil is 96.82cm

Answers

Answer:

Step-by-step explanation:

V = πr²h

h = V/(πr²)

V = 42 gal

42 gal x 3.7854 l/gal = 158.987 l

158.987 l = 158,987 ml = 158,987 cm³

r = 18/2 = 9 in

9 in x 2.54 cm/in = 22.86 cm

h = (158987 cm³) / π(22.86 cm)² ≈ 96.82 cm

depending on how you round, the more precise answer is 96.8285 ≈ 96.83

4. What is the equation of the given graph?
1
A) y=-2x-3
B) y = -1/2x +3
C) y=1/2x-3
D)y=1/2x-3

Answers

Answer: D

Step-by-step explanation:

The equation for a linear function is y = mx + b

We first need to find the slope of the object, we can see here than it perfectly lands on the point, (0, -3) and (6,0). We can use this formula to determine the slope:

(y2 - y1)/(x2 - x1)

Now let's plug in the numbers.

(0 + 3) / (6 - 0)

3/6

1/2

Now we know the slope is 1/2 and the y-intercept is -3, so let's make it into a slope-intercept form.

y = 1/2x - 3

A solution has a total mass of 400 g. If the solvent has a mass of 236 g of the total mass, what is the strength of the drug?

Answers

In a case whereby A solution has a total mass of 400 g. If the solvent has a mass of 236 g of the total mass, the strength of the drug  can be expressed as 41%.

How can the strength of the drug be calculated?

From the question, the total mass =400 g

The solvent mass = 236 g

Then the mass of the drug = 400-236

= 164

Then the mass percentage of the drug can be calculated as 164/400 * 100

= 41%

Therefore, the strenght of the drug can be expressed as  41%

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In AJKL, m/J = (8x - 7), m/K = (x + 7)°, and m/L= (2x + 15)°. What
is the value of x?

Answers

Therefore, the equation for that value x = 6, and m(A) = 90.

What is a formula or equation?

A mathematical equation expresses two things as being equal to one another, or as having the same value and worth. A specific equation that expresses a significant link between variables and numbers is called a formula.

The fact that the sum of a triangle's angles is 180 degrees must be used to determine the value of x. Angles J, A, and K in the triangle AJK allow us to write:

m(J) + m(A) + m(K) = 180

We can substitute the given angle measures into this equation:

(8x - 7) + m(A) + (x + 7) = 180

Simplifying this equation, we get:

9x + m(A) = 180 - 7 - 7

9x + m(A) = 166

We can use the same reasoning for triangle AJL:

m(J) + m(A) + m(L) = 180

Substituting the given angle measures, we get:

(8x - 7) + m(A) + (2x + 15) = 180

Simplifying this equation, we get:

10x + m(A) = 172

The two unknowns in our current set of equations are x and m(A). By removing the first equation from the second, we can find m(A):

10x + m(A) = 172

(9x + m(A) = 166)

x = 6

Now that we know x, we can substitute it into either equation to find m(A):

8x - 7 + m(A) + x + 7 = 180

15x + m(A) = 180

m(A) = 180 - 15x

Substituting x = 6, we get:

m(A) = 180 - 15(6) = 90

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An angle measures 125°. Through what fraction of a circle does the angle turn?

Answers

If an angle measure 125° then the angle measures a fraction of 25/72 of a full circle.

What is a circle?

A circle is a two-dimensional geometric shape that is defined as the set of all points that are equidistant from a single point, called the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle, passing through the center, is called the diameter. The circumference of a circle is the distance around the edge or perimeter of the circle. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle, and π (pi) is a mathematical constant that represents the ratio of the circumference to the diameter of a circle, approximately equal to 3.14159.

According to the given information

A circle has 360 degrees. To find what fraction of a circle an angle measures, we can divide the angle by 360. In this case, the angle measures 125 degrees, so the fraction of a circle it turns can be calculated as:

125/360 = 0.347222222...

To simplify this fraction, we can multiply both the numerator and denominator by 2:

125/360 = (1252)/(3602) = 250/720

We can further simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 10:

250/720 = (2510)/(7210) = 25/72

Therefore, the angle measures a fraction of 25/72 of a full circle.

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The scale of this blueprint of an art gallery is 1 in 48 ft. find the actual lengths of the following walls.

Answers

The calculated values of the actual lengths of the walls are AB = 144 ft, CD = 288 ft, EF = 528 ft and EF = 240 ft

Finding the actual lengths of the walls.

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

Scale of blueprint = 1 in : 48 ft

This means that

Scale = 48 ft/1in

Calculating the actual lengths of the walls, we have

AB = 3in * 48 ft/1in

AB = 144 ft

CD = 6in * 48 ft/1in

CD = 288 ft

EF = 11in * 48 ft/1in

EF = 528 ft

FG = 5in * 48 ft/1in

EF = 240 ft

Hence, the actual lengths of the walls are AB = 144 ft, CD = 288 ft, EF = 528 ft and EF = 240 ft

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How do you leave 6.92820323 in three significant numbers

Answers

Answer:

6.92

Step-by-step explanation:

When ever there are also of decimal places you must at least write the first 2 only.

Hope this helps

please mark me brainliest ♥️

6.92
that is the answer to your question

What integer values of x make the statement -3/x lesser than -x/3 true?

x=0
x=2
x=3
Any interger greater than -3
Any integer less than -3
x=1

You need to choose more than 1 answer

Answers

The integer values that make the statement true are x = -3, -2, -1, 1, 2, 3

We have,

We can start by multiplying both sides of the inequality by -3x to get rid of the denominators:

-3/x < -x/3

Multiplying by -3x on both sides.

-9 < -x²

Rearranging.

x² < 9

Taking the square root of both sides.

|x| < 3

This means that x can take any integer value between -3 and 3, excluding 0.

Thus,

The integer values are x = -3, -2, -1, 1, 2, 3

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What is the value of sine at 330

Answers

The value of sine would be 368

A graph is shown.
6987654321
10
0 1 2 3 4 5 6 7 8 9 10
Which ordered pair describes a point that should be removed from the graph so that the graph represents a function?

Answers

An ordered pair that describes a point that should be removed from the graph so that the graph represents a function include the following: A. (1, 1).

What is a function?

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the graph shown below, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values);

3  → 1

1 → 1

In this context, we can reasonably infer and logically deduce that either (3, 1) or (1, 1) must be removed from the graph in order to represent a function.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

6. Ari, a gardener, estimates the cost of seeding a 150 m by 210 m area with grass seed. He needs 3 pounds of seed per 100 000 square feet. How many pounds of seed will Ari need?​

Answers

Ari will need 3.6 pound of seed.

We are Given that total number of pounds of grass seed needed

9

Let number of pounds of Bermuda seeds is x

Let number of pounds of Fescue seeds is y

Then sum of both gives equation:

x+y=9

y=9-x...(i)

Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x

The cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

The total cost will be 4.80x + 3.50y

Now combining all three parts, we get equation:

4.80x+3.50y=4.02 x 9

4.80x+3.50y=36.18...(ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

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At a discount store,all DVDs have the same price. Chan bought 6 DVDs and paid a total of $62.87,which includes $2.99 in sales tax.What is the first step in finding the cost of one DVD? Complete the drip diagram to solve the first step. Please help!!!

Answers

Step-by-step explanation:

Answer

The price of 6 DVDs, including sales tax = $62.87

Sales tax = $2.99

Required:

The cost of one DVD.

Explanation:

Step 1: Price of 6 DVDs excluding sales tax.

The price of 6 DVDs excluding sales tax = $62.87 - $2.99 = $59.88

Step 2: Use the Unitary Method:

According to the question,

6 DVDs price = $59.88

1 DVD price excluding sales tax = $ 59.88/6

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