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Andrei [34K]
3 years ago
7

On a scale drawing of a quilt one square is 9 x 9"" this represents one square inch on the scale drawing if the final length of

the quilt is 108 inches how many inches is the length of the quilt on the square drawing
Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

x = 12 inches

the length of the quilt on the scale drawing is 12 inches

Step-by-step explanation:

Given;

Final length of quilt L = 108 inches

1 square inch on the scale drawing represent 9" × 9" of the quilt

So, 1 inch on the scale drawing represent 9 inches of the original length.

The scale is 1 to 9= 1:9

On the scale drawing, let x represent the length of the quilt on the scale drawing;

x : L = 1 : 9

x/L = 1/9

x = (1/9) × L

x = L/9

Substituting the value of L;

x = 108/9

x = 12 inches

the length of the quilt on the scale drawing is 12 inches

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Answer:

(a) The amount of pure acid in 60 oz of 20% acid solution is 12 oz.

(b) The amount of pure acid in 60 oz of 25% acid solution is 15 oz.

(c) The amount of pure acid in 60 oz of 30% acid solution is 18 oz.

(d) The amount of pure acid in 60 oz of 50% acid solution is 30 oz.

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The solution is a mixture of two or more substances

- A container of liquid contains 60 oz of solution

- The solution contains pure acid by different concentrations

- (a) 20% (b) 25% (c) 30% (d) 50%

- We want to find the number of ounces of the pure acid in each

 concentration

- Assume that the solution is 100%

- That means 100% represents 60 oz of solution

a)

- The percentage of pure acid is 20%

∵    solution     ⇒     pure acid

        100%               20%

        60                    The number of ounces

- By using cross multiplication

∴ The number of ounces = \frac{60*20}{100}= 12

(a) The amount of pure acid in 60 oz of 20% acid solution is 12 oz.

b)

- The percentage of pure acid is 25%

∵    solution    ⇒      pure acid

        100%               25%

        60                    The number of ounces

- By using cross multiplication

∴ The number of ounces = \frac{60*25}{100}= 15

(b) The amount of pure acid in 60 oz of 25% acid solution is 15oz.

c)

- The percentage of pure acid is 30%

∵    solution     ⇒     pure acid

        100%               30%

        60                    The number of ounces

- By using cross multiplication

∴ The number of ounces = \frac{60*30}{100}= 18

(c) The amount of pure acid in 60 oz of 30% acid solution is 18 oz.

d)

- The percentage of pure acid is 30%

∵    solution     ⇒     pure acid

        100%               50%

        60                    The number of ounces

- By using cross multiplication

∴ The number of ounces = \frac{60*50}{100}= 30

(d) The amount of pure acid in 60 oz of 50% acid solution is 30 oz.

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