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2 years ago

4/3 times the sum of a number and eight is is 24 what is the number

Mathematics

1 answer:

vekshin12 years ago

5 0

Answer:

(4/3) * (x + 8) = 24

(4/3) x + 32/3 = 24

4x + 32 = 72

4x = 40

x = 10

Checking the answer

(4/3) * (10 + 8) = 24

(4/3) * 18 = 24

Answer is correct

Step-by-step explanation:

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Find the equation of the line parallel to y=4x-10 containing (5,-6)

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Y=mx+b, m=slope, b=y intercept

a line that is paralell will have the same slope with a different y intercept
y=4x-10
therefor the new equation is y=4x+b
subsitute
(x,y)
(5,-6)
x=5
y=-6
is on e solution so subsitue
-6=4(5)+b
-6=20+b
subtract 20
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the equation si y=4x-26

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2 years ago

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2 years ago

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John wants to make cookies. To make cookies, he need 2 over 3 of a cup of flour per batch of cookies. If John has 4 cups of flou

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$\dfrac{2}{3} \text { cups = } 1 \text { batch}$

----------------------------------------------
Find 1 cup :
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$1 \text { cup = } 1 \div \dfrac{2}{3} \text { batch}$

$1 \text { cup = } 1 \times \dfrac{3}{2} \text { batch}$

$1 \text { cup = } \dfrac{3}{2} \text { batch}$

----------------------------------------------
Find 4 cups :
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$4 \text { cups = } \dfrac{3}{2} \times 4 \text { batch}$

$4 \text { cups = } \6 \text { batches}$

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Answer: John can make 6 batches with 4 cups of flour.
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2 years ago