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Paraphin [41]
3 years ago
9

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

place the bar from each edge of the door? (Write the answer as a mixed number.)
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0
The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar. 
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1  ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24
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8 0
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What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?
alisha [4.7K]

Answer:

8

Step-by-step explanation:

The given expression is "three less than the quotient of ten and a number, increased by six”

The quotient of ten and a number increased by six is translated into mathematical expression as:

\frac{10}{n}+6

Three less than the quotient of ten and a number, increased by six is

(\frac{10}{n}+6)-3

When we substitute n=2, we get:

(\frac{10}{2}+6)-3

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4 0
3 years ago
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7 0
3 years ago
Distance traveled varies jointly as rate and time. If Fred travels 135 miles in 3 hours at a rate of 45 mi/hr, find the rate at
Rudiy27

From the relation, d is joint proportionaly with r and t.
Thus,d = krt.

Using the first set of given, we could calculate for k.135 = k(45)(3)k = 1

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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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