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3 years ago

17) 74x^2 What is the prime factorization of 74x^2?

Mathematics

1 answer:

saw5 [17]3 years ago

3 0

37 is one of the factors . The orange divisors are the prime factors of the number 74. If you put them all together , you’ll have the factors 2•37=74

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Jackson went into a movie theater and bought 8 bags of popcorn (x) and 2 candies (y), costing a total of $58. Cooper went into t

Sophie [7]

Answer:

(a)

$8x + 2y = 58$

$4x + 5y = 49$

(b)

Bag of popcorn = $6

Candy = $5

Step-by-step explanation:

Given

$candy = y$

$popcorn = x$

Jackson: x = 8; y= 2; Total = 58

Cooper: x = 4; y= 5; Total = 49

Solving (a): System of equation

For Jackson:

$8x + 2y = 58$

This is done by multiplying each variable by the quantity.

Same will be applied to Cooper's purchase:

Cooper:

$4x + 5y = 49$

Solving (b): Price of 1 bag of popcorn and 1 candy

This implies that we solve for x and y

$8x + 2y = 58$ ----- (1)

$4x + 5y = 49$ -------- (2)

Multiply the second equation by 2

$2(4x + 5y = 49)$

$8x + 10y = 98$ -------- (3)

Subtract the (1) from (3)

$8x - 8x + 10y - 2y = 98 - 58$

$10y - 2y = 98 - 58$

$8y = 40$

Solve for y

$y = 40/8$

$y = 5$

Substitute 5 for y in (1)

$8x + 2y = 58$

$8x + 2 * 5 = 58$

$8x + 10 = 58$

$8x = 58 - 10$

$8x = 48$

Solve for x

$x = 48/8$

$x = 6$

This implies:

Bag of popcorn = $6

Candy = $5

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2 years ago

Select the postulate that is illustrated for the real numbers.

san4es73 [151]

Answer:

The commutative postulate for multiplication

Step-by-step explanation:

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Sally pays her car insurance monthly. Her annual premium is $1024. Each payment she is charged a $5 convenience fee. If her annu

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Answer:

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Step-by-step explanation:

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2 years ago

Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the re

sdas [7]

Answer:

Step-by-step explanation:

Vanilla ice cream = 3/5 x 25 = 15

Remaining = 25 - 15 = 10

Mint ice cream = 1/2 x 10 = 5

Remainder = 10 - 5 = 5 = vanilla

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2 years ago

Points P, Q, and S are collinear . If bisects PQR, what is the measure of PQT?

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