MATHEMATICS MIDDLE SCHOOL

Jesse takes his dog and cat for their annual vet visit. Jesse's dog weighs 23 pounds. The vet tells him his cats weight is 5/8 as his dogs weight. How much does his cat weigh?

Answers

Answer 1

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: $\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow 23 \ pounds$
Jesse's cat weight in the pattern: $\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow (5)/(8) \ of \ 23 \ pounds$

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:

$\boxed{ \ = (5)/(8) * 23 \ }$

$\boxed{ \ = (5 * 23)/(8) \ }$

Recall this $\boxed{ \ 5 * (20 + 3) = (5 * 20) + (5 * 3) = 100 + 15 = 115 \ }$

$\boxed{ \ = (115)/(8) \ }$

Recall this $\boxed{ \ 115 / 8 = (14 * 8) + 3 \ }$

$\boxed{ \ = 14(3)/(8) \ }$ as a mixed fraction

$\boxed{ \ = 14(3 * 125)/(8 * 125) = 14(375)/(1,000) = 14.375 \ }$ as a decimal fraction

Thus, his cat weigh is $\boxed{ \ 14(3)/(8) \ or \ 14.375 \ pounds \ }$

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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

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What is the GCF of 15 and 30

Answers

The greatest common factor (GCF) of 15 and 30 is: 15

Factors of 15: 1, 3, 5, 15
Factors of 30: 1, 2, 3, 5, 6, 10, 15

The common factors between the two numbers are 1, 3, 5, and 15, but considering 15 is the highest number out of them all, it is the greatest common factor.

The greatest common factor of numbers 15 and 30 would be 15.

Given that,

The two numbers are 15 and 30.

Used the concept of the greatest common factor that states that,

The GCF is defined as the largest number that is a factor of two or more numbers.

For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12.

Here, The two numbers are 15 and 30.

Now, the factors of 15 and 30 are,

Factors of 15: 1, 3, 5, 15

Factors of 30: 1, 2, 3, 5, 6, 10, 15

Clearly, the largest factor that is shared by 15 and 30 is 15.

Therefore, GCF (15, 30) = 15

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brainly.com/question/25266622

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What is the equation of a line that passes through the point (8,1) and is perpendicular to the line whose equation is y= -2/3 x + 5? A) 2X+3Y= 15
B) Y= -2/3x + 11
C) Y= 3/2x+ 11
D) y= 3/2x - 11

I am thinking its B but am not sure. I don't wanna retake this so I wanna be 100%. Thanks!!

Answers

Answer:

The equation of this line would be y = 3/2x - 11, which is the answer D.

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 1 = 3/2(x - 8)

y - 1 = 3/2x - 12

y = 3/2x - 11

A 13-ounce package of pistachios costs $5.99. What's the unit rate?

Answers

we know that

A rate is a ratio that compares quantities in different units. A unit rate is a rate where the second quantity is one unit

In this problem to find the unit rate

Divide $ $5.99$ by $13\ ounces$

$unit\ rate=(5.99)/(13)(dollars)/(ounce) \n \n unit\ rate=0.46(dollars)/(ounce)$

therefore

the answer is

the unit rate is equal to $0.46(dollars)/(ounce)$

The unit rate is $0.46 per ounce because $5.99/13oz=$0.46/oz.

What is the volume of the composite figure show in the picture? Please explain how you found the answer if you can. Please help !!!!!

Answers

We did this this year and by what I can remember I belive it is 4,320 inches. I hope this helps and I hope I got it right so u don't get it wrong.

Write each rational numbe as a fraction

Answers

well a fraction is a/b and all whole numers (exg 1,2,3,4,5,1.5) are all over 1 so
1=1/1
2=2/1
3=3/1
6.3=6.3/1

lets say that you have 0.22 that would be 22/100
0.2=2/10
0.23=23/100
1.34=134/100
4.32=432/100
4.843=4843=4843/1000

so lets say that you have 9/4
that would be (2 fours in 9 so) 2 and 1/4 so to go back just multiply the '2' by the denomenator (bottom number or in this case it is 4) so 2*4=8 then add that to the top number so 1+8=9
9/4
very simple so
3. -15=-15/1
4. 0.31=31/100
5. 4 and 5/9= (4 times 9=36 so 36+5=41) 41/9
6. 6.2=62/10

1st?- cynthia paid $0.20 per hobby magazine at a tag sale. She bought half of all the magazines that were for sale and paid $10. How many magazines were there in all?2nd?-in the first problem, the amount of money cynthia pays is a function of the number of magazines she bought.
a- write an equation that shows what cynthia pays dollars (d) for the number of magazines (m) shes buys.
b- make a function table with four (m,d) pairs of your choosing that satisfy the function.

Answers

1. She paid .2 per magazine, so .2*number of magazines = 10. So the number of magazines she bought was 10/.2, or 50. Since that was only half of them, there were 100 total.
2. a d=.2m
b. You make a function table. Just plug the points into d=.2m

Answer:

1. 50 magazines

a. m= d times $0.20

b. I dont know but i go 1 and 2a.

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