The mass of 12 packets of flour and 8 packets of salt is 19 kg. When 7 packets of flour are removed, the mass became 9.9 kg. Find the mass of each packet of salt in kilogram.​

Answers

Answer 1

Answer:

1.235 kg

Step-by-step explanation:

Let's assume that each packet of flour and salt weighs the same.

When we remove 7 packets of flour, we are left with 5 packets of flour and 8 packets of salt. The total number of packets is 13 and their total mass is 9.9 kg.

Therefore, the average mass of each packet is 9.9 kg ÷ 13 = 0.76 kg.

Since we know that 12 packets of flour and 8 packets of salt have a total mass of 19 kg, we can subtract the mass of the 12 packets of flour (12 × 0.76 kg = 9.12 kg) from the total mass to find the mass of the 8 packets of salt:

19 kg - 9.12 kg = 9.88 kg

Finally, we can divide the mass of the 8 packets of salt by the number of packets to find the mass of each packet:

9.88 kg ÷ 8 = 1.235 kg

Therefore, each packet of salt weighs approximately 1.235 kg.


Related Questions

A map shows the vertices of a campsite are (25,10), (25,-5), (-5,-5), and (-5,10). The vertices of your tent are (0,-3), (0,6), (10,6), and (10,-3). The coordinates are measured in feet. What percent of the campsite is not covered by your tent?

Answers

The percent of the area that is not covered is 80 percent

How to calculate the area that is not covered

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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A local radio station is running a contest were 35 people have qualified. From these qualifiers, 3 will be randomly selected to win a trip to the Bahamas. How many different possibilities are there for the outcome of this contest?

Answers

Answer:

39270

Step-by-step explanation:

When the first person is picked, there is a 1 in 35 chance that it will be Person 1. If they are selected, that leaves 34 people left in the pool. After Person 2 is selected, there are 33 people left in the pool for Person 3.

35*34*33=39270

In each diagram, one square unit represents 10 square centimeters. Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

Models that represent z+9=14 ASAP

Answers

To represent z+9=14, we can start by subtracting 9 from both sides of the equation:

z + 9 - 9 = 14 - 9

Simplifying the left side of the equation gives:

z = 5

Therefore, the solution to the equation z+9=14 is z=5.

A population of rabbits is increasing at a rate of 1.5% per month. If there are 60 rabbits today, how many will there be after 10 months? Round to the nearest whole.

Answers

If population of rabbits is increasing at a rate of 1.5% per month, after 10 months, there will be approximately 71 rabbits in the population.

To solve this problem, we need to use the formula for exponential growth:

A = P(1 + r)ᵗ

where A is the final amount, P is the initial amount, r is the growth rate as a decimal, and t is the time period. In this case, we have P = 60, r = 0.015 (1.5% expressed as a decimal), and t = 10.

Plugging these values into the formula, we get:

A = 60(1 + 0.015)¹⁰

A ≈ 71

t's important to round to the nearest whole, so we can't be exact, but we know the answer will be somewhere between 70 and 72 rabbits.

Exponential growth is a model that assumes continuous growth over time, which may not be entirely accurate in real-world scenarios.

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PLEASE HELP ME QUICK!!!

Answers

Answer:

Option D.   [tex]g(x)=5(0.8)^{x}+2[/tex]

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form [tex]y=a*b^x[/tex] has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form [tex]y=a*b^x[/tex] increase or decrease based on the value of "b".

If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

A company produces two products, A and B. At
least 30 units of product A and at least 10 units of
product B must be produced. The maximum
number of units that can be produced per day is
80. Product A yields a profit of $15 and product B
yields a profit of $8. Let a = the number of units of
product A and b = the number of units of product
B.
What objective function can be used to maximize
the profit?
P=
DONE✔
a+
b

Answers

The objective function that can be used to maximize the profit is Profit = 15a + 8b

Let a is the number of units of product A and b is the number of units of product B.

Profit = 15a + 8b

This function represents the total profit earned by producing a units of product A and b units of product B

Given that the profit per unit of product A is $15 and the profit per unit of product B is $8.

To maximize the profit, we would need to find the values of a and b that satisfy the constraints given in the problem and maximize the value of the objective function

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The cost of a pen is $15. Find the cost of 162 pens

Answers

Answer: 15 x 162 = 2430$

So the cost of one pen is $15, we have to find the cost of 162 pens that will cost $15 each.

162 x $15 = $2,430

The cost of 162 pens is $2,430. (Without tax)

Consider the line y = -8x + 7.
Find the equation of the line that is perpendicular to this line and passes through the point (-5, 3).
Find the equation of the line that is parallel to this line and passes through the point (-5, 3).

Answers

The equation of the line that is parallel to the line that passes through the point (7, 6) is y = 8x - 50.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.

Since lines can exist embedded in two, three, or higher dimensions environments, they are one-dimensional objects.

The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

So, the lines with the same slope but a different y-intercept are said to be parallel.

Therefore, we must use the same slope to plug in the point (7, 6) and solve for the y-intercept.

We thus have:

y = 8x + b

6 = 8(7) + b

6 = 56 + b

b + 56 = 6

b + 56 - 56 = 6 - 56

b = -50

The equation is: y = 8x - 50

Therefore, the equation of the line that is parallel to the line that passes through the point (7, 6) is y = 8x - 50.

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Correct question:

Consider the line y = 8x - 4. Find the equation of the line that is parallel to this line and passes through the point (7, 6).

6 yards 2 feet 5 inches equals

Answers

Answer:

245 inches

Step-by-step explanation:

Yards->Inches

1 yard = 36 inches

Therefore, 6 yards = 36 x 6 = 216 inches

Feet->Inches

1 feet = 12 inches

Therefore, 2 feet = 2 x 12 = 24 inches

Adding all inches,

=> 216 + 24 + 5

=> 245 inches

if my circular garden requires 2 cups of water per 10 square feet, how many cups of water do i need when the radius is 3 feet​

Answers

6 cups of water, since the area is 3.14r^2 which is 28.26 feet. And then 2 cups per each 10 feet so 4 and then if we round for the remaining 8.26 feet, 6 cups total.

Find the exact value of each of the remaining trigonometric functions of θ.
tan θ= -3/5, sec θ>0.

Answers

If given trigonometric functions of θ are tan θ= -3/5, sec θ>0, the exact value of sin θ is 3/√(34).

To find the value of sin θ, we can use the Pythagorean identity: sin²θ + cos²θ = 1.

First, we need to find the value of cos θ. We know that sec θ = 1/cos θ and sec θ > 0, which means that cos θ > 0. Therefore, we can use the identity: tan²θ + 1 = sec²θ to find the value of cos θ.

tan θ = -3/5

tan²θ = 9/25

sec²θ = tan²θ + 1 = 34/25

cos²θ = 1/sec²θ = 25/34

cos θ = √(25/34) = 5/√(34)

Now, we can use the Pythagorean identity to find sin θ:

sin²θ + cos²θ = 1

sin²θ = 1 - cos²θ

sin²θ = 1 - 25/34

sin²θ = 9/34

sin θ = √(9/34) = 3/√(34)

In trigonometry, the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) are used to relate the angles of a triangle to its sides. The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In other words, sin θ = opposite/hypotenuse.

Knowing the value of sin θ is important because it allows us to calculate the values of the other trigonometric functions. For example, cosine is defined as the ratio of the length of the adjacent side to the length of the hypotenuse, so we needed to find the value of cos θ to calculate sin θ.

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.If $10,000 is deposited in an account earning 5 ¾ % interest compounded monthly. How much money will be in the account in 5 years.

Answers

The total amount in the acount in 5 years is approximately $13,321.76.

What is the accrued amount in the account in 5 years?

The formula accrued amount in a compounded interest is expressed as;

[tex]A = P( 1 + \frac{r}{n} )^{n*t}[/tex]

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

Principal P = $10,000Compounded monthly n = 12Time t = 5 yearsInterest rate r = 5 3/4% = 5.75%Accrued amount A = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 5.75/100

r = 0.0575

Plug the given values into the above formula and solve for A.

[tex]A = P( 1 + \frac{r}{n} )^{n*t}\\\\A = 10000( 1 + \frac{0.0575}{12} )^{(12*5)}\\[/tex]

A = $13,321.76

Therefore, the accrued amount is $13,321.76.

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Trundle wheels are used to measure distances along the ground.
The radius of the trundle wheel is 30 cm.
Jim wants to work out the distance between two junctions on a road.
He rolls the trundle wheel between the two junctions.
The trundle wheel rotates exactly 48 times.
Work out the distance between the two junctions.
Give your answer in metres correct to the nearest metre.

Answers

The distance between the two junctions is, 90 meters, when rounded off to the nearest meter.

:: Radius of trundle wheel = 30 cm = 0.3 meter (as 100 cm = 1 m)

:: No. of rotations = 48

:: Circumference of a circle = ( 2 x π x r )

where, r is radius of the circle

So, as,

Distance between junctions = [ (circumference of trundle wheel) x (no. of rotations) ]

Therefore,

Distance = (2 x π x 0.3) x (48)

Distance = 2 x (3.14) x 0.3 x 48

Distance = 90.432 meters

When rounded off to the nearest meter,

Distance = 90 meters.

So, The distance between the two junctions is, 90 meters, when rounded off to the nearest meter.

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Plsss help meeee quick

Answers

Answer:

B

Step-by-step explanation:

Lateral surface contains B,C and D (because A and E are bases)

A (lateral surface area) = 70 + 70 + 56 = 196 cm^2

3.4 The rectangular box has the length of 8x² and the breadth of 6x² - 4x 3.4.1 What is the area of the box? 3.4.2 Factorise the area of the box? 3.4.3 If x = 2 what will be the value of the length and the breadth?​

Answers

Answer:

3.4.1) (8x^2)(6x^2 - 4x) = 48x^4 - 32x^2

3.4.2) 48x^4 - 32x^2 = (16x^2)(3x^2 - 2)

3.4.3) Length = 16(2^2) = 16(4) = 64

Width = 3(2^2) - 2 = 3(4) - 2

= 12 - 2 = 10

Area = 64(10) = 640

‼️HELP CUZ IM SO LOST PLEASE‼️

Answers

Using two column proof we have been able to show that AB ║ EC

by definition of alternate interior angles

How to use two column proof?

A two-column proof is defined as a two-column table labeled with statements on the left-hand side and reasons on the right-hand side.

The two column proof of the given diagram is as follows:

Statement 1: ΔADE is an Isosceles Triangle

Reason 1: Given

Statement 2: ∠DEA ≅ ∠DAE

Reason 2: Properties of Isosceles Triangles

Statement 3: ∠ADE = 20°

Reason 3: Sum of angles in a triangle

Statement 4: ∠BAD ≅ ∠EDA

Reason 4: Congruent Angles

Statement 5: ∠BAD and ∠EDA are alternate angles

Reason 5: Alternate angles are congruent

Statement 6: AB ║ EC

Reason 6: Definition of alternate interior angles

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Find the volume of the cone shown. Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer: 100.48 cubic feet

Step-by-step explanation:

Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two serving of blueberry pie provides 1290 calories

Answers

The caloric content for ice cream C is 250 calories while the caloric content for ice cream B is 270 calories.

How to determine the caloric content

To determine the caloric content, we will assign algebraic notations to each of the dessert types.

1 Icecream + 2 Blueberry pie =   790 calories

3 icecream + 2 Blueberry pie = 1290 calories

Now the first equation will be subtracted from the second equation as follows:

2 icecream = 500 calories

So, 1 ice cream is 250 calories.

Also, since, 1 icecream serving equals 250 calories, 2 Blueberry pies = 790 - 250 = 540 calories, and 1 Blueberry pie equals 270 calories.

Complete question:

Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two servings of blueberry pie provides 1290 calories. Find the caloric content of each item.

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Find the probability that
event A or B takes place.

Answers

The probability that event A or B takes place is P ( A ∪ B ) = 6/17

Given data ,

Let the probability that event A or B takes place is P ( A ∪ B )

Now , the probability of A is P ( A ) = 2/17

And , the probability of B is P ( B ) = 4/17

where P ( A ∩ B ) = 0

On simplifying the equation , we get

P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )

So , P ( A ∪ B ) = 2/17 + 4/17

P ( A ∪ B ) = 6/17

Hence , the probability is 6/17

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A swimming pool holds 450, 000 L
of water and has two drainage
pipes.
Pipe A, by itself, can drain the pool
in 150 minutes. Pipe B, by itself, can
drain the pool in 225 minutes.
If you turned on both pipes at the
same time, how many minutes
would it take to drain the pool?

Answers

Using a linear equation, the minutes it would take both pipes to drain the swimming pool that holds 450,000 liters is 90 minutes.

What is a linear equation?

A linear equation is an equation of a straight line written in the form of y = mx +b, where m is the slope.

The quantity of water the swimming pool holds = 450,000 liters

The drainage time of Pipe A working alone = 150 minutes

Drainage rate of Pipe A = 3,000 liters per minute (450,000 ÷ 150)

The drainage time of Pipe B working alone = 225 minutes

Drainage rate of Pipe B = 2,000 liters per minute (450,000 ÷ 225)

The drainage rate of the combined pipes = 5,000 liters per minute (3,000 + 2,000)

Let the number of minutes for both pipes to drain the pool = x

Therefore, the linear equation is 5,000x = 450,000

x = 90 minutes (450,000 ÷ 5,000)

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please help for this question​

Answers

The single transformation that maps shape A to shape B is: Reflection about the line x = -2

What is the transformation rule?

There are different ways of carrying out transformation of objects and they are:

Reflection whereby  all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection

Rotation whereby all points are rotated about a point.

Dilation where the object is reduced or increased by a scale factor.

Translation where the object is moved from one point to another.

Looking at the given image, we can tell that this denotes a reflection because it is the exact same shape and looks like a mirror image which was reflected over the line x = -2

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Find the degree of the monomial. 3a^8b^7

Answers

The degree is 8 because it is the biggest exponent

A spinner divided into three equal sections marked A A and Z is spun 570 times approximately how many times will it be expected to land on an A

Answers

If a spinner divided into three equal sections marked A A and Z is spun 570 times .  The number of  times it will be expected to land on an A is 380 times.

How to find the Expected number of time ?

Since the spinner has three equal sections in which two of them are marked A.  The probability of landing on an A in a single spin will be 2/3  while the probability of landing on Z  will be 1/3.

So,

Expected number of time E(A) =Number of spins x Probability of landing on A

Expected number of time E(A) = 570 x (2/3)

Expected number of time E(A)  = 380

Therefore the Expected number of time E(A) is 380 times.

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Rosie earns $25 for travel time plus $18 an hour working at her uncle’s shop. Write an expression that can be used to find the amount Rosie will earn for working, 7, hours.

Answers

Answer:

Earned = 25 + 18h

Earned = 151

Step-by-step explanation:

The amount earned is the travel time plus the amount per hour times the hours

Earned = 25 + 18h

She works 7 hours

Earned = 25 + 18*7

Earned = 25 + 126

Earned = 151

The mean monthly salary of female employees of a company is 3750 Birr, while the mean monthly salary of male employees is 4500 Birr. It is known that the mean monthly salary of male and female employees combined is 4000 Birr. a) What is the ratio of the number of female employees to male employees? b) What percentage of employees are females?​

Answers

Let the number of female employees in the company be represented by f, and the number of male employees be represented by m.

a) We can use the information given to set up the following equation:

(3750f + 4500m)/(f + m) = 4000

Multiplying both sides by f + m, we get:

3750f + 4500m = 4000(f + m)

Expanding and simplifying, we get:

250f = 500m

Dividing both sides by 250, we get:

f/m = 2/1

Therefore, the ratio of the number of female employees to male employees is 2:1.

b) The total number of employees is f + m. To find the percentage of employees that are female, we can use the ratio we found in part a) to write:

f/(f + m) = 2/(2+1) = 2/3

Multiplying by 100%, we get:

females as a percentage = (2/3) x 100% = 66.67%

Therefore, approximately 66.67% of the employees are females.

If GI and JL are parellel lines and m

Answers

The measure of angle IHE is 23°.

Since DF and GI are parallel, we know that angle HJF is congruent to angle GHJ. Therefore, we have:

mHJF = mGHJ = 134°

We can now use this information to find the measure of angle IHE. To do this, we need to use the fact that the sum of the angles in a straight line is 180°. Since H, J, F, and I lie on a straight line, we have:

mHJF + mFJI + mIHE = 180°

Substituting the values we know, we get:

134° + mFJI + mIHE = 180°

Simplifying the equation, we get:

mFJI + mIHE = 46°

We still need to find the measure of angle FJI. To do this, we can use the fact that the angles in a triangle add up to 180°. Triangle GHJ is a straight line, so its angles add up to 180°. Therefore, we have:

mGHJ + mHJF + mFJI = 180°

Substituting the values we know, we get:

134° + mFJI + mFJI = 180°

Simplifying the equation, we get:

2mFJI = 46°

Dividing both sides by 2, we get:

mFJI = 23°

Finally, we can substitute this value back into our earlier equation to find the measure of angle IHE:

mFJI + mIHE = 46°

23° + mIHE = 46°

Subtracting 23° from both sides, we get:

mIHE = 23°

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Complete Question:

If DF and GI are parallel lines and mGHJ = 134°, what is mIHE?

Find the consumers' surplus at a price level of $1 for the price-demand equation

p= D(x) = 20-0.1x
where p is the price and x is the demand. Do not include a dollar sign or any commas in your answer.

Answers

The consumers' surplus at a price level of $1 for the price-demand equation is -1072.5.

Given that price-demand equation p= D(x) = 20-0.1x, we need to find the consumers' surplus at a price level of $1.

So,

From the equation we have,

20-0.1x = 1

0.1x = 19

x = 190

Therefore, the equilibrium point = (190, 1) = (xe, Pe)

Now,

Cs = [tex]\int\limits^{x_e}_0 {D(x)} \ dx\, -Pexe[/tex]

[tex]\int\limits^{190}_0 {20-0.1x} \ dx\, -(190)[/tex]

= 20-0.1{9025}-190

= -1072.5

Hence the consumers' surplus at a price level of $1 for the price-demand equation is -1072.5

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I need help i don't know how to do this please

Answers

The size of matrix cM is given as follows:

9 x 10.

What happens when a matrix is multiplied by a constant?

When a matrix is multiplied by a constant, we have that every element in the matrix is multiplied by the constant. Hence, the dimension of the matrix remains constant.

The parameters for this problem are given as follows:

Constant c.Matrix M of dimensions 9 x 10.

Hence the size of matrix cM is given as follows:

9 x 10.

(same size as the original matrix, as we simplify multiply each element in the matrix by the constant, hence the dimensions remain the same).

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Lines and Angles
10) In the figure below BD is the perpendicular bisector of AC. Find the value of x.
3(2x-8)
4425
Enter your answer in the box.
x=

Answers

Since BD is the perpendicular bisector of AC, then AB = BC, which implies 2x - 8 = 5x - 17.

Solving for x, we have:

3(2x - 8) = 4425

6x - 24 = 4425

6x = 4451

x = 741.83

Rounding to the nearest whole number, we have x = 742.

Therefore, x = 742.

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Youve got a really thin file -- just a years worth of student loan payments. The deal you saw was for well qualified buyers. The best deal we can offer you is 6. 6% for 60 months. A little more bad news -- the cash allowance is also based on credit history, so you dont qualify for $500. That said, youre excited about a Jeep, and I want to see you driving one, so I can do $400 for you!"Molly still has a $2500 down payment. How much loan does Molly need? If f(x) = x - 7, then what is (8)? Help please! This is for a grade... (35 points) need help asapHow many square feet of outdoor carpet willwe need for this hole?3 ft2 ft12 ft,1 ft2 ftft Background:there was a tarantula discovered at knightsen school. mr. yurkovich when there as a child, grew up in the area, and still lives nearby. he has never heard of tarantulas being observed at the school before this. tarantulas eat primarily grasshoppers and beetles.question:what will happen to the populations of beetles, now that tarantulas are a new part of their environment? will the population increase or decrease?ignore the name its just my principles (03.02 LC)Read and match the sentence with its correct verb and conjugation.Hay muchos apartamentos en los edificios de mi calleEl domingo voy a escuchar a mi amigo en el teatro. l toca un instrumento de msicaNo estoy bien hoy. Necisto comprar medicina en la farmaciaHay muchos apartamentos en los edificios de mi calle Does anyone know how to do these exercises on python computing, on the for and while topic:1. (exercise for)create a program that prompts the user for a number between 1 and 10, inclusive.inclusive.as many times as indicated by the number entered by the user, the program should, using thefor statement: ask the user to enter a string. using the for statement, print the string letter by letter downwards, uppercase theletters, and the numbers multiplied by two.for example, if the user enters a 2, and enters the following data that we see in bold type, theprogram should display a result similar to the following:enter a string: hy78hy1416enter a string: 2m4nb64m8nb122. (exercise while)create a result variable, which will initially be worth 0.with the help of the while, continuously perform the following tasks: ask the user for a number. ask the user for an operation, which can be +, -, x or /. if the user has entered the + operation, the program will add the number to the contents of thethe previous operation. if instead the user has entered the operation -, the program will subtract the number from theif the user has entered the - operation instead, the program will subtract the number from the contents of the previous operation. if instead the user has entered the operation x, the program will multiply the numberby the contents of the previous operation. if instead the user has entered the operation /, the program will divide the contents ofif the user has entered the operation /, the program will divide the contents of the previous operation by the number entered. print the statement "the result of applying the operation [variable with operation] by the number [variable with accumulated result beforenumber [variable with accumulated result before the operation] and [variable withnumber entered by user] is [variable with accumulated result after the operation].operation] if you want to continue. if the user enters no, the program will terminate.when finished, the program will display the result of having performed all operations. The height of the roof is 30ft and the radius of the base is 15tf. what is the area of the roof? what is the lateral surface area of the roof On which timeline would you place an event in 1920 CE What bankruptcy provision has the bank chosen?Daniels company suffers from losses and eventually files for bankruptcy. Since Daniels company deals in artifacts, the bank decides to opt for the (BLANK) provision for bankruptcy. Through this provision, the company decides to auction the goods and recover a portion of the debt You are setting the combination on a three-digit lock. You want to use the numbers 123 but you don't care what order they are in.