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aleksandrvk [35]
3 years ago
13

The area of a rectangular rug is 14 1/12 square yards. The length of the rug is 4 1⁄3 yards. What is the width?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer:

w=3 1\4

Step-by-step explanation:

A=LxW

a=14 1\12

l=4 1\3

w=?

14 1\12=4 1\3 x w

14 1\12 divided by 4 1\3=13\4=3 1\4

w=3 1\4

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3 years ago
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Melanie answered 18 of
Butoxors [25]

75 percent

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The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

               +

0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

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3 years ago
Will be giving brainliest to the correct one, no links or account will be reported:)
aleksandr82 [10.1K]

Answer:

x = 38

∠P = 26º

Step-by-step explanation:

The sum of the angle in a triangle is 180

x + (x + 78) + (x - 12) = 180

Combine like terms

3x + 66 = 180

Subtract 66 from both sides

3x = 114

Divide both sides by 3

x = 38

-----------------------

∠P = x - 12

∠P = 38 - 12

∠P = 26º

7 0
3 years ago
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Rewrite the following equation x(x)-14x+24=y in vertex form. What is the vertex?
Juliette [100K]

Step-by-step explanation:

y = x² − 14x + 24

To convert to vertex form, complete the square.  Take half of the second coefficient, square it, then add the result to both sides.

(-14/2)² = 49

y + 49 = x² − 14x + 49 + 24

y + 49 = (x − 7)² + 24

y = (x − 7)² − 25

The vertex is (7, -25).

8 0
3 years ago
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