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2 years ago

What is the solution to the following equation 4(-2x+3)=10x-15

1 answer:

3 0

$4(2x + 3) = 10x - 15 \\ \\ 1. \: - 8x + 12 = 10x - 15 \\ 2. \: 12 = 10x - 15 + 8x \\ 3. \: 12 = 18x - 15 \\ 4. \: 12 + 15 = 18x \\ 5. \: 27 = 18x \\ 6. \: \frac{27}{18} = x \\ 7. \: \frac{3}{2} = x \\ 8. \: x = \frac{3}{2}$

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Calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inch.

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3 years ago

An article reports Sales have grown by 30% this year to $200 million, what were sales before the growth?

Varvara68 [4.7K]

Answer:

Price before growth = $ 153.85 million

Step-by-step explanation:

Given:

Percentage = 30%

Rate after Increase =new value= $200 million

To Find:

Sales before growth =old value= ?

Solution:

We Know the formula for Percentage growth which is given by the formula

Percentage growth $= \frac{Difference value}{old value}*100$ %

Now let old value = x

Difference = New Value - x

= 2000 - x

We have formula

Percentage growth $= \frac{Difference value}{old value}*100$ %

Putting in values

30 % $= \frac{Difference value}{old value}*100$ %

30 $= \frac{Difference value}{old value}*100$

Putting in values

30 $= \frac{200-x}{x}*100$

multiplying both sides by x

it becomes

30 x = (200-x)*100

Multiplying inside

30 x = 20000 - 100 x

Adding 100 x on both sides

30 x + 100 x = 20000 - 100 x + 100 x

it becomes

130 x = 20000

Dividing both sides by 130

$\frac{130*x}{130}=\frac{20000}{130}$

itgives us

x = $ 153.85 million

Price before growth = $ 153.85 million

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3 years ago