What are the answers for page 501

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

I'm so sorry for not answer but which grade and what workbook is it?

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The cost of 7/2 meters of clothes is $231/4. What is the cost of one meter of cloth?

klio [65]

First of all, i will start by comparing the given values. That will be;
7/2 meters=$231/4
1 meter= x
I represented the unknown value by x. Anyway, you have to cross and multiply. SO 7/2 multiplies x to give you 7/2x and 1 multiplies 231/4 to give you 231/4. That will be;
7/2x=231/4
Divide the both sides by 7/2.
7/2x÷7/2=231/4÷7/2
When dividing fractions, the division sign changes to a multiplication sign and the fraction on the right turns upside down. So;
x=231/4 x 2/7
x=231/14
x=$33/2.
Hope i helped.

5 0

3 years ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$