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devlian [24]
3 years ago
10

it takes Maya 30 minutes to solve 5 logic puzzles, and it takes Amy 28 minutes to solve 4 logic puzzles. use models to show the

rate at which eachstudent solves the puzzles, in minutes per puzzles
Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer:

Maya ---> 6\ minutes/puzzle

Amy ----> 7\ minutes/puzzle

see the procedure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

m ---> the number of minutes

p ---> the number of puzzles

In this problem, the relationship between the variables m and p represent a proportional variation

so

m=kp

Maya

it takes Maya 30 minutes to solve 5 logic puzzles

we have

m=30, p=5

Determine the value of the constant of proportionality k

k=\frac{m}{p}

substitute the given values

k=\frac{30}{5}=6\ minutes/puzzle

The value of the constant k is the same that the slope or unit rate

The equation is equal to

m=6p

Amy

it takes Maya 28 minutes to solve 4 logic puzzles

we have

m=28, p=4

Determine the value of the constant of proportionality k

k=\frac{m}{p}

substitute the given values

k=\frac{28}{4}=7\ minutes/puzzle

The value of the constant k is the same that the slope or unit rate

The equation is equal to

m=7p

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melisa1 [442]

Answer:

  6

Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

  18 ÷ 12 = 1 r 6

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You can also factor the numbers and see what the common factors are.

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In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

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