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

what is the slope of the line passing through the points (-3,4) and (2, -1)

Answers

Answer:

slople = -1

Step-by-step explanation:

(x₁ , y₁) = (-3, 4)     & (x₂ , y₂) = (2 , -1)

[tex]slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{-1-4}{2-[-3]}\\\\\\=\frac{-1-4}{2+3}\\\\\\=\frac{-5}{5}\\\\= -1[/tex]

To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
400 milligrams
480 milligrams
550 milligrams
600 milligrams

Answers

Answer:

138/92*320 = 480 milligrams. ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds. 2.

Step-by-step explanation:

I hope I help :)

While solving an equation, if the variable term becomes zero, and the equation make a false statement, then the solution is
A: infinite solutions
B: one solution
C. no solution

Answers

Answer:

0.1%

Step-by-step explanation:

0.1%

Answer:

No solution.

Step-by-step explanation:

Then the equation has no solution.

For example

2x - 2 = 2x + 1

-2x - 2x

-2 = 1.

___________________________________________

Brainliest?

What are the x- and y-intercepts of the graph of y = x2 + x - 6? (1 point)
O x-intercepts: (3, 0) and (2,0)
y-intercept: (0,6)
O x-intercepts: (3.0) and (-2,0)
y-intercept: (
0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0.6)

Answers

Answer:

okay i will answer but i dont see the question

Step-by-step explanation:

Solve the inequality. 4x – 7 < 5

Answers

Answer:

x < 3

Step-by-step explanation:

4x - 7 <5

4x < 12

x < 3

Answer:

x < 3

Step-by-step explanation:

4x < 12

x < 3

I hope you get this right

FASTEST RIGHT ANSWER BRAINLIEST!!!

Answers

Answer:c

Step-by-step explanation:

Brainlist

Answer:

quadrant 4

Step-by-step explanation:

6, -8 is in quadrant 4

One number is nine more than another number.if the sum of the number is 65 ,find both numbers

Answers

Answer:

The first number is 28 the number nine more is 37

Hope this helped!

what are the Coefficients in 4e + 7e + 5

Answers

Answer:

4 and 7

Step-by-step explanation:

Coefficients are just bassically the numbers behind the variable, hope this helps!

find the ordered pair for the solution -7x+3y=2

Answers

Answer:

(1, 3 )

Step-by-step explanation:

To find a solution choose a value for x, substitute into the equation and solve for y.

let x = 1 , then

- 7(1) + 3y = 2 , that is

- 7 + 3y = 2 ( add 7 to both sides )

3y = 9 ( divide both sides by 3 )

y = 3

One possible solution is therefore (1, 3 )

Answer:

Step-by-step explanation:

1 3

YOU GET 55 POINTS, A THANKS, AND A BRAINLIEST!!!!!
Enter an equation in point-slope form for the line.
(-4,4) and (4,-4) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

-4-4= -x(4-4) or y= -x+8

Step-by-step explanation:

I hope this is what you needed!

Liya has one 30-ounce jar of pink paint.The ratio of white paint in the jar is 3:7, Liya doesn't like the shade pink so she moves the paint into a 128-ounce container and adds more white and red paint to fill the container.If the new ratio of white paint to red is 3;5 how many more ounces of white paint does she add to make the new shade of pink paint?

Answers

Answer: 8

Step-by-step explanation:

8x0

The required amount of ounces of white paint added is 35.15 ounces.

Given that,
Liya has one 30-ounce jar of pink paint. The ratio of white paint in the jar is 3:7, Liya doesn't like the shade pink so she moves the paint into a 128-ounce container and adds more white and red paint to fill the container. If the new ratio of white paint to red is 3:5.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Ounces of white paint in a 30-ounce jar,
= 30 × 3 / 7 = 12.85,

Ounces of white paint in 128-ounce of the jar,
= 128 × 3  / 8  = 48

The number of ounces of white paint added = 48 - 12.85 = 35.15

Thus, the required amount of ounces of white paint added is 35.15 ounces.

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i need help w this pls asap

Answers

Answer:

x=125, y=125

Step-by-step explanation:

180-55=125

x and y are alternate angles

Answer:

x=125

y= 125

Step-by-step explanation:

x + 55 = 180

y = x

alternate interior angles are equal

HELP PLS BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

83

Step-by-step explanation:

Answer:

x = 59

y = 83

Step-by-step explanation:

First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.

Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.

Using the Triangle Sum Theorem again, you will find that x is 59.

Student council is voting which elective classes should be offered at the middle school. the choices are Band, Art, and Spanish. Art received twice as many votes as Band. Spanish received 20 more votes than Art. 190 students voted total.

Answers

Question what are we supposed to do like add subtract??

Answer:

34 people voted for band 68 people voted for art and 88 people voted for Spanish this help

Step-by-step explanation:

Can anybody tel me what K equals plz I got to go to bed

Answers

Answer:

K is equal to 4

Step-by-step explanation:

. hope it helped

Part A
Sophia bought 9 red peppers for $5.40.

PLEASE HELP

Find the unit rate. Then use the unit rate to write an equation relating the cost in dollars c to the number of red peppers p.

Answers

Answer:

$0.60/each

Step-by-step explanation:

$5.40/9=0.60  Total price *($5.60) divided by 9 (PEPPERS) = $0.60

The unit rate of red peppers is $ 0.6The equation to represent cost in dollars c to the number of red peppers p,

          c= 0.6p

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cost of 9 red peppers = $5.40

Cost of 1 red pepper = 5.40 /9

                                = 0.6

Now, the equation to represent cost in dollars c to the number of red peppers p,

c= 0.6p

Learn more about unitary method here:

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does anyone know how to do this​

Answers

The answer is 19 light blue, please Give like and brainliest

Food bill before tax $45 sales tax 6.8% tip 24%

Answers

Answer:

The total bill is $58.86

Step-by-step explanation:

Percentages

Before tax, the food bill is $45. Sales tax is 6.8% and the tip is 24%.

Tax is 6.8*$45/100 = $3.06

Tip is 24*$45/100 = $10.80

Total additional charges are:

$3.06+ $10.80= $13.86

Thus, the total bill for the food is:

$45 + $13.86 = $58.86

The total bill is $58.86

An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°. Write and solve an
equation to find the measure of the other remote interior angle.
Enter the correct answers in the boxes.
Equation:
X=

Answers

Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The exterior angle is equal to the sum of the interior angles in a given triangle.

The measure of the other remote interior angle is 60°.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Let the measure of the other interior angle = M

The exterior angle is equal to the sum of the interior angles in a given triangle.

An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.

This means,

M + 20 = 80

Solve for M.

M + 20 = 80

Subtract 20 on both sides.

M = 80 - 20

M = 60

Thus,

The measure of the other remote interior angle is 60°.

Learn more about triangles here:

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Help is needed plssss

Answers

X= -4, -6. i’m not really sure what the question is asking
x=-4-6 thats the answers

True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?

Answers

Answer:

true

Step-by-step explanation:

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ?
Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) h(x).
For negative values of x, g(x) > h(x).
WILL MARK BRAINLEST

Answers

Answer:

g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

What quadrant does -495 lie in?

Answers

It would lie between 180 and 220

In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?

Answers

Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

Q 1: You are making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much baking soda is needed for 1 teaspoon of salt?
Q 2:Use the information contained within the question one. How much salt is needed for 1 teaspoon of baking soda?

Answers

Answer:

x = teaspoon of soda needed = 2 teaspoons of baking soda for 1 teaspoon of salt

y = teaspoons of baking soda needed = 1/2 teaspoons of salt needed for 1 teaspoon of baking soda

Step-by-step explanation:

Teaspoon of salt : Teaspoon of soda

1/8 : 1/4

How much baking soda is needed for 1 teaspoon of salt?

Let

x = teaspoon of soda needed

Teaspoon of salt : Teaspoon of soda

1 : x

Equate both proportion

Teaspoon of salt : Teaspoon of soda

1/8 : 1/4 = 1 : x

1/8 ÷ 1/4 = 1/x

1/8 × 4/1 = 1/x

4/8 = 1/x

Cross product

4*x = 8*1

4x = 8

x = 8/4

= 2

x = 2 teaspoons of

x = teaspoon of soda needed = 2 teaspoons for 1 teaspoon of salt

2. How much salt is needed for 1 teaspoon of baking soda?

Let y = teaspoons of baking soda needed

Teaspoon of salt : Teaspoon of soda = y : 1

Equate the proportion

1/8 : 1/4 = y : 1

1/8 ÷ 1/4 = y / 1

1/8 × 4/1 = y / 1

4/8 = y / 1

Cross product

4 * 1 = 8 * y

4 = 8y

y = 4/8

= 1/2

y = 1/2 teaspoons of baking soda

y = teaspoons of baking soda needed = 1/2 teaspoons needed for 1 teaspoon of baking soda

These questions down below are a bit confusing for me, if someone would help me with them I would be absolutely grateful thank you so much

Answers

1.) $44.37
2.) honestly not sure
3.) $540
4.) 60 inches, yes because 40wks x 1.5 inches = the amount it’ll grow after 40wks which is 60in.

How do you change 2.3 - 3.94 into an addition problem?

Answers

Answer:

2.3+ (-3.94)

Step-by-step explanation:

Answer:

Solve it then add the answer and one of the parts of the original.

Step-by-step explanation:

Ex.

Original: 2.3 - 3.94

2.3 - 3.94 = -1.64

New addition: -1.64 + 3.94 = 2.3

Find the product of 2r^2(6r^3+14r^2-30r+14)

Answers

Answer:

12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²

Step-by-step explanation:

a(b ± c) = ab ± ac (distributive property)

[tex]a^{m} * a^{n} = a^{m+n}[/tex]

2r²(6r³ + 14r² - 30r + 14) = 12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²

Answer: 2r2(6r3+14r2−30r+14)

Step-by-step explanation:

Apply the distributive property

2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14

Simplify

2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2

Simplify each term

12r5+28r4−60r3+28r2

True or false, there is a decimal point on every whole number. We just don’t usually write it.

Help LOL I have a quiz I would appreciate it

Answers

Answer:

True

Step-by-step explanation:

for example: 5 could also be written as 5.00

Answer:

I think that’s false it should be

Step-by-step explanation:

If not don’t report me plz

Someone please answer the questions and help me:(

Answers

Answer:

-3,-5,-4,-1,1-1,1-1,,3,3-,-3,-4,5-,-8,9--,5,3

Step-by-step explanation:

A) insiders lie so (4,3) A.O.S x= 4

B) (-2,-5) AOS X= -2

C) (3,0) AOS x= 3

F) (0,2) AOS x= 0
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