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2 years ago

13

If each person at the party eats 2/8 of a pound of cheese and there are 9 people at the party, how many pounds of cheese are nee

ded for the party?

1 answer:

Nitella [24]2 years ago

6 0

You will need 2 1/2 of cheese since 2/8 times 9= 2 1/2

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Sorry i have another question what is the inequality of 8x−8≤−72.

vova2212 [387]

That answer is x≤−8

Inequality:

8x−8≤−72

Step number 1: You have to Add 8 to both sides.

8x−8+8≤−72+8

8x≤−64

Step number 2: You have to Divide both sides by 8.

8x /8 ≤ −64 / 8

Ur Answer:

x≤−8

Hope this helps :)

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3 years ago

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Nadya [2.5K]

Answer:

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2 years ago

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Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

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2 years ago

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A rectangular garden is 80 feet long and 50 feet wide. It has a walkway along its diagonal. How long is the walkway? 62.4 feet 9

viktelen [127]

94 feet. 50^2 + 80^2 = x^2

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2 years ago

Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a

Zolol [24]

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40× $\frac{3}{2}$ = $\frac{22.2}{2}$ =11.1

The price of oil in March will be $11.10 per gallon.

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2 years ago