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adelina 88 [10]
3 years ago
11

A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and ye

llow
paint are needed to make 21 pints of the green paint?

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

Blue = 12

Yellow = 9

Step-by-step explanation:

Given

Blue : Yellow = 4 : 3

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

Total = 4 + 3

Total = 7

The blue and the yellow pint can be represented individually as:

Blue = \frac{4}{7} * Green

Yellow = \frac{3}{7} * Green

Number of blue paint calculated last week is:

Blue = \frac{4}{7} * 21

Blue = {4} * 3

Blue = 12

Yellow = \frac{3}{7} * Green

Yellow = \frac{3}{7} * 21

Yellow = {3} * 3

Yellow = 9

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What are 3 powers of 64?
andrew11 [14]

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Hope that helps!

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True or False? The Blue Radius is Perpendicular to the Green Chord.
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5 0
3 years ago
Read 2 more answers
Find the dimensions of the box described.
Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

  • The length is twice as long as the width
  • The height is 4 inches greater than the width
  • The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

5 0
3 years ago
-x + 3y = 3 <br><br>x - 3y = 3<br><br>Does this system have a solution?
DerKrebs [107]

Answer:

No solution

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write out systems of equations

-x + 3y = 3

x - 3y = 3

Step 2: Rewrite equations into slope-intercept form

3y = 3 + x

y = 1 + x/3

-3y = 3 - x

y = -1 + x/3

Step 3: Rewrite systems of equations

y = x/3 + 1

y = x/3 - 1

Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.

4 0
3 years ago
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