We appreciate your visit to At the gym Jasper was able to bench press 224 pounds which was tex frac 7 8 tex of the weight that Balin was able. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure, let's solve this step-by-step.
We are given that Jasper could bench press 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find out how much weight Balin could bench press, denoted by [tex]\(x\)[/tex].
The relationship given in the problem can be written as an equation:
[tex]\[ \frac{7}{8}x = 224 \][/tex]
We're solving for [tex]\(x\)[/tex], so we need to isolate [tex]\(x\)[/tex]. To do this, divide both sides of the equation by [tex]\(\frac{7}{8}\)[/tex]:
[tex]\[ x = \frac{224}{\frac{7}{8}} \][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{7}{8}\)[/tex] is [tex]\(\frac{8}{7}\)[/tex]. So, we can rewrite the equation as:
[tex]\[ x = 224 \times \frac{8}{7} \][/tex]
Now, carry out the multiplication:
[tex]\[ x = 224 \times \frac{8}{7} \][/tex]
[tex]\[ x = 224 \times \frac{8}{7} = 224 \times \frac{8}{7} = 224 \div 1 \times \frac{8}{7}\][/tex]
[tex]\[ x = 224 \div 1 \times 8 \div 7 = 1792 \div 7 = 256\][/tex]
So, [tex]\(x\)[/tex] = 256 pounds.
From the given options, the correct answer is:
[tex]\[ \frac{7}{8} x=224 ; x=256 \][/tex] pounds.
This option correctly shows the equation as [tex]\(\frac{7}{8} x = 224\)[/tex] and the correct value of [tex]\(x\)[/tex] as 256 pounds.
We are given that Jasper could bench press 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find out how much weight Balin could bench press, denoted by [tex]\(x\)[/tex].
The relationship given in the problem can be written as an equation:
[tex]\[ \frac{7}{8}x = 224 \][/tex]
We're solving for [tex]\(x\)[/tex], so we need to isolate [tex]\(x\)[/tex]. To do this, divide both sides of the equation by [tex]\(\frac{7}{8}\)[/tex]:
[tex]\[ x = \frac{224}{\frac{7}{8}} \][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{7}{8}\)[/tex] is [tex]\(\frac{8}{7}\)[/tex]. So, we can rewrite the equation as:
[tex]\[ x = 224 \times \frac{8}{7} \][/tex]
Now, carry out the multiplication:
[tex]\[ x = 224 \times \frac{8}{7} \][/tex]
[tex]\[ x = 224 \times \frac{8}{7} = 224 \times \frac{8}{7} = 224 \div 1 \times \frac{8}{7}\][/tex]
[tex]\[ x = 224 \div 1 \times 8 \div 7 = 1792 \div 7 = 256\][/tex]
So, [tex]\(x\)[/tex] = 256 pounds.
From the given options, the correct answer is:
[tex]\[ \frac{7}{8} x=224 ; x=256 \][/tex] pounds.
This option correctly shows the equation as [tex]\(\frac{7}{8} x = 224\)[/tex] and the correct value of [tex]\(x\)[/tex] as 256 pounds.
Thanks for taking the time to read At the gym Jasper was able to bench press 224 pounds which was tex frac 7 8 tex of the weight that Balin was able. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
