Use substitution to determine which number from the set {6,7,8, 9} makes the equation 7c = 56 true. [Standard PAR.7.1]

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1 point
c = 6
c = 7
c = 8
c = 9

11 answers

Let's substitute each number from the set {6, 7, 8, 9} into the equation 7c = 56 and see which one makes it true.

For c = 6:
7c = 7(6) = 42 (not equal to 56)

For c = 7:
7c = 7(7) = 49 (not equal to 56)

For c = 8:
7c = 7(8) = 56 (equal to 56)

For c = 9:
7c = 7(9) = 63 (not equal to 56)

Therefore, the number that makes the equation 7c = 56 true is c = 8.
Solve the equation 324.5 = x - 128

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1 point
To solve the equation 324.5 = x - 128, we need to isolate the variable x.

First, we'll add 128 to both sides of the equation:

324.5 + 128 = x - 128 + 128
452.5 = x

Therefore, the solution to the equation is x = 452.5.
Joni only had 1/2 cups of protein powder remaining and had to spread it out in two smoothies If she used 1/8 cup the first smoothie, how much did she have left for the second smoothie?

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1 point
1/16 cup
4 cups
2 cups
3/8 cup
To find out how much protein powder Joni had left for the second smoothie, we need to subtract the amount of protein powder used in the first smoothie from the total amount she had.

Joni had 1/2 cups of protein powder. She used 1/8 cup in the first smoothie.

To find out how much protein powder she had left, we'll subtract 1/8 from 1/2:

1/2 - 1/8 = 4/8 - 1/8 = 3/8

Therefore, Joni had 3/8 cup of protein powder left for the second smoothie.
Solve for w: 6w = 132

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1 point
11
22
792
126
To solve for w in the equation 6w = 132, we need to isolate the variable w.

We can do this by dividing both sides of the equation by 6:

(6w)/6 = 132/6

Simplifying, we get:

w = 22

Therefore, the solution to the equation is w = 22.
Josiah, Anum and Jared decided to buy a multi-pack of Roblox credits to share. If the total cost was $45, how much does each person have to pay?
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1 point
To find out how much each person has to pay, we need to divide the total cost by the number of people sharing.

In this case, there are three people sharing (Josiah, Anum, and Jared) and the total cost is $45.

To find out how much each person has to pay, we'll divide $45 by 3:

$45 / 3 = $15

Therefore, each person has to pay $15.
Solve for x: 3/7 x = 21
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1 point
x = 9
x = 49
x = 63
x = 17
To solve for x in the equation (3/7)x = 21, we need to isolate the variable x.

To do this, we can multiply both sides of the equation by the reciprocal of (3/7), which is (7/3):

(3/7)x * (7/3) = 21 * (7/3)

Simplifying, we get:

x = 49

Therefore, the solution to the equation is x = 49.