Answer :
14³/₈ or 14.375 pounds.
Further explanation
Given:
- Jesse takes his dog and cat for their annual vet visit.
- Jesse's dog weighs 23 pounds.
The vet tells him his cat's weight is ⁵/₈ as his dog's weight.
Question:
How much does his cat weigh?
The Process:
Since the vet tells him his cat's weight is part of his dog's weight by ⁵/₈ part, let us create an 8-unit pattern that represents the dog's weight.
- Jesse's dog weight in the pattern: [tex]\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow 23 \ pounds [/tex]
- Jesse's cat weight in the pattern: [tex]\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow \frac{5}{8} \ of \ 23 \ pounds[/tex]
And now, let us find out the cat's weight. As we know, the cats' weight is ⁵/₈ the dog's weight.
The cat's weight:
[tex]\boxed{ \ = \frac{5}{8} \times 23 \ }[/tex]
[tex]\boxed{ \ = \frac{5 \times 23}{8} \ }[/tex]
Recall this [tex]\boxed{ \ 5 \times (20 + 3) = (5 \times 20) + (5 \times 3) = 100 + 15 = 115 \ }[/tex]
[tex]\boxed{ \ = \frac{115}{8} \ }[/tex]
Recall this [tex]\boxed{ \ 115 \div 8 = (14 \times 8) + 3 \ }[/tex]
[tex]\boxed{ \ = 14\frac{3}{8} \ }[/tex] as a mixed fraction
[tex]\boxed{ \ = 14\frac{3 \times 125}{8 \times 125} = 14\frac{375}{1,000} = 14.375 \ }[/tex] as a decimal fraction
Thus, his cat weigh is [tex]\boxed{ \ 14\frac{3}{8} \ or \ 14.375 \ pounds \ }[/tex]
Learn more
- What is the width of the actual snowflake? https://brainly.com/question/1070912
- What fraction of the box is left (Kim and Courtney)? brainly.com/question/37157
- How much more paint will Mathilde need to buy? https://brainly.com/question/36885
Keywords: Jesse takes his dog and cat, annual vet visit, Jesse's dog weighs 23 pounds, the vet, his cats weight is 5/8, how much does his cat weigh, mixed fraction, decimal, part, pattern
