Question

A clothing factory uses 1,275.2 meters of cloth a week to make shirts how much cloth is needed to make 3 and 3/5 times as many shirts

Answer 1

Answer:

4590.72

Step-by-step explanation:

All you need to do is multiply 1275.2 by 3 and 3/5, or 18/5. This is 4590.72.

Answer 2

4590.72 meters of cloth is needed to make 3 and ³/₅ times as many shirts.

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

A clothing factory uses 1,275.2 meters of cloth a week to make shirts.

$\texttt{Initial Cloth Needed} = 1275.2 ~ \texttt{meters}$

The cloth that is needed to make 3 and ³/₅ times as many shirts will be:

$\texttt{Final Cloth Needed} = ( 3 + \frac{3}{5} ) \times 1275.2 ~ \texttt{meters}$

$\texttt{Final Cloth Needed} = ( 3 \times 1275.2 ~ \texttt{meters} ) + ( \frac{3}{5} \times 1275.2 ~ \texttt{meters} )$

$\texttt{Final Cloth Needed} = ( 3825.6 ~ \texttt{meters} ) + ( 765.12 ~ \texttt{meters} )$

$\texttt{Final Cloth Needed} = \boxed {4590.72 ~ \texttt{meters}}$

Conclusion :

4590.72 meters of cloth is needed to make 3 and ³/₅ times as many shirts.

Learn more

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• System of Linear equations : brainly.com/question/3291576
• Student's Shirt : brainly.com/question/909783

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces