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3 years ago

1. Find the LCM of 35,14 using prime factorization.

Mathematics

1 answer:

vekshin13 years ago

3 0

Answer:

Step-by-step explanation:

1) 35 = 5 * 7

14 = 2 * 7

LCM = 2 * 5 * 7 = 70

2) 15 = 3 * 5

12 = 2 * 2 * 3

LCM = 2* 2 * 3 * 5 = 60

3) 5 = 5

9 = 3 * 3

15 = 3 * 5

LCM = 3*3 * 5 = 45

4)8 = 2 * 2 * 2 = 2³

10 = 2 *5

12 = 2 * 2 *3 = 2² * 3

LCM = 2³ * 3 * 5 = 120

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Answer:

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Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

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

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

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substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

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If triangle FGH, FG=8.7, FH=4.5 and GH=6.1, Which is the smallest angle of the triangle

jolli1 [7]

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Step-by-step explanation:

Given is a ΔFGH

FG = 8.7

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