Pablo mixes 3 units white paint and 1 unit black paint to make gray paint. What two equations show the relationship between units of white paint, w, and units of black paint, b? Show your work.

Answers

Answer 1

Answer:

[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]

Step-by-step explanation:

Represent white paint with w and black with b

Given

When w = 3; b = 1

Required

Determine the two equations

To get a gray paint, the w and b are needed in the following proportion:

[tex]3 * w = 1 * b[/tex] -----(1)

Solve for b

[tex]3 * w = b[/tex]

Reorder

[tex]b = 3 * w[/tex]

[tex]b = 3w[/tex] ---- This is an equation

To get another equation,

Recall that

[tex]3 * w = 1 * b[/tex]

Solve for w

[tex]3*w = b[/tex]

[tex]3w = b[/tex]

Make w the subject

[tex]w = \frac{1}{3}b[/tex]

Hence, the equations that show the relationship between w and b are:

[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]


Related Questions

The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *

Answers

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form

Answers

to work this out you need to solve for your y-intercept. by using what you have.

once you do so you get the answer y=1/2x+3

FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11

2. Divide both sides by 4 to get c - 3 = 2

3. Use the distributive property to get 4c - 3 = 8

4. Use the distributive property to get 4c - 3 = 8

5. Subtract 4 from both sides to get c - 3 = 4

Answers

Answer

2, i can't find any other solution

Step-by-step explanation:

you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x

To solve an equation 4(c - 3) = 8 the correct ways are

1. Use the distributive property to get 4c - 12 = 8

2. 2. Divide both sides by 4 to get c - 3 = 2

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

The two ways to start solving the equation 4(c - 3) = 8 are:

Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.

This method uses the distributive property to simplify the left-hand side of the equation before solving for c.

Divide both sides by 4, and we get,

4(c - 3)/4 = 8/4

c - 3 = 2

c = 5.

Therefore, the two ways are given above.

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I really need help so please help me out

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :

TU + UF = 32

TU + 20 = 32

TU = 32 - 20

TU = 12

The sum of two integers with different signs is 16. What two integers fit this description?

-2 and 18
-18 and -18
-14 and -2
-14 and 2

Answers

-2 and 18 add to 16

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

Please help me I need help please?

Answers

A linear function is a function that creates a straight line when graphed. The difference between this graph and others is that this function is constant instead of curved. I’d like to see an example of this in the real world as a relationship between profit and merchandise.A quadratic function is a function that has multiple variables allowing the graph to curve. The difference between this function and the others is that this function is squared allowing for a greater curve that looks like a U. I’d like to see a example of this in the real world as missiles being launched since the curve is similar.A exponential function is a function in which the function grows at a fast rate. The difference between this function and the others is that this function curves in a constant rate then the x increases continuously. I’d like to see an example of this in the real world as the interest in a bank since it increases per month.

Question...Sleep is known to affect student grades. Kirsten is conducting a study in a local high school using two treatments on two groups of students. One group will nap one hour in an eight-hour school day and another will nap 30 minutes in an eight-hour school day. What group would be the best control for the study?

Options...
A third group that takes a one-hour nap or a 30-minute nap randomly each day

A third group that shortens the school day to six hours

A third group in which no naps occur

A third group that splits the day with a 30-minute nap in the morning and a 30-minute nap in the afternoon

A third group in which each student chooses either a 30-minute nap or a one-hour nap

Answers

Answer:

c

Step-by-step explanation:

a third party group in which no naps occur

In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.

Answers

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°

2. Addison bought 9 pumpkin pies for $27. How much will she pay for 11 pumpkin pies? Use numbers and words to explain your answer.​

Answers

Answer:

$33

Step-by-step explanation:

Since 9 pies is 27 dollars that means you have to divide 27 by 9 to find out what 1 pie costs

1 pie ends cause costing $3

now you multiply the cost for 1 pie and 11 so it comes out to be $33

It is 33 doll hairs
Ksosksos

can y’all help please :)

Answers

number three ? I’m not sure

Simplified or expanded version of 8(4x-12)

Answers

Answer: 32x - 96

Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps

5y - 4x = -7
2y + 4z = 14
Solve for x and y

Answers

Answer:

et's solve for x.

5y−4x=−72y+4z

Step 1: Add -5y to both sides.

−4x+5y+−5y=−72y+4z+−5y

−4x=−77y+4z

Step 2: Divide both sides by -4.

−4x

−4

=

−77y+4z

−4

x=

77

4

y−z

Answer:

x=

77

4

y−z

Let's solve for y.

5y−4x=−72y+4z

Step 1: Add 72y to both sides.

−4x+5y+72y=−72y+4z+72y

−4x+77y=4z

Step 2: Add 4x to both sides.

−4x+77y+4x=4z+4x

77y=4x+4z

Step 3: Divide both sides by 77.

77y

77

=

4x+4z

77

y=

4

77

x+

4

77

z

Answer:

y=

4

77

x+

4

77

z

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer:

1.)x=5/4y+7/4

2.) y=−2z+7

Step-by-step explanation:

Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport

3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports

How many students said they didn't like any sports

0 75
O 20
O 55
O 5

Answers

Answer:

5

Step-by-step explanation:

Add 1/5 + 3/4. Answer: 19/20 likes sports.

Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary

Answers

Answer:

6.4

Step-by-step explanation:

A partial proof was constructed given that MNOP is a parallelogram.

Which statement should fill in the blank in the last line of the proof?

A. angle M is supplementary to angle O.


B. angle N is supplementary to angle P.


C. angle M is congruent to angle P


D. angle N is congruent to angle P.

Answers

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation:

Will mark branilest!!

Answers

Answer:

B?

Step-by-step explanation:

(This is math. Is that question supposed to be math? I'm not sure)

HELP PLEASE!! I NEED TO GET THIS TURNED IN

Answers

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

PLEASE HELP WITH THIS, ITS FOR A TESTTT

Answers

14x + 21

Hopefully this helps!

Answer:

The answer is C

Step-by-step explanation:

Distribute first then combine like terms

Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3

Answers

Given:

Kevin bought twelve 8-ounce bottles of water.

1 ounce ≈ 30 ml

To find:

The quantity of water in milliliters

Solution:

We have,

1 ounce ≈ 30 ml

8 ounce ≈ 8×30 ml

8 ounce ≈ 240 ml

It means, one 8 ounce bottle can hold about 240 milliliters of water.

Total number of bottles = 12

So, the quantity of water Kevin buy in milliliters is

[tex]12\times 240=2880[/tex]

Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.

What value of x makes this equation true?
x/3 - 3 = x/9 + 3

Answers

Answer:

x = 27

Step-by-step explanation:

hope this helps :)

HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?

Answers

About 12,000 I’m not sure but I searched it up and it says that

A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?​

Answers

Answer:

1/2 teaspoons of salt per cup of sour cream

Step-by-step explanation:

multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.

which number is bigger 1.59 or 1.955

Answers

Answer:

1.955 is bigger

Step-by-step explanation:

1.955>1.59

Answer:

1.955

Step-by-step explanation:

This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59

I need help!!!!! Jdjshekosixjsjjejfixis

Answers

The pot = 1/2
The cat = 1/4
The pumpkin = 1
The zombie hand = 1/3
Brainliest? :)

PLEASE HELP ;)
Who did it right?

Find the slope of the line perpendicular to 2x+3y=8

Answers

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

what is the quotient of 0.12/24.12

Answers

Answer:

0.00497512437

Step-by-step explanation:

but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.

Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.

Answers

Answer:

C

Step-by-step explanation:

Plato(:

What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.

What is stock?

Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.

In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.

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The perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. The sum of the other 4 side lengths is 36.4 meters. About how long is each of the​ same-side lengths?

Answers

31.41 that the answer

Each of the​ same-side lengths is 15.67.

What is perimeter?

It is the sum of length of the sides used to made the given figure.

We have been given that the perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.

Let the same side be a.

The perimeter of the figure = 6 x side

The perimeter of the figure = 2a + 36.4

67.74 = 2a + 36.4

2a = 67.74 - 36.4

2a = 31.34

a =15.67

Therefore, each of the​ same-side lengths is 15.67.

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What is the equation of a line that passes through (0, 7) and has a slope of -2?

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]

y = -2x + b

7 = -2(0) + b

7 = 0 + b

7 = b

Put everything we know/solved for into the original formula.

y = -2x + 7

Best of Luck!

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