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3 years ago

8(x+2)=56 HELP PLZZ ANYONE Use the Distributive Property to solve the equation.

Mathematics

1 answer:

xenn [34]3 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

1. 8 (x + 2) = 56 Distribute the 8

2. 8x + 16 = 56 Subtract 16 from both sides

3. 8x = 40 Divide both sides by 8

4. x = 5

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777dan777 [17]

Answer:

0.35

Step-by-step explanation:

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2 years ago

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If f(x) = 2x-4 and g(x) = x2 - 4x, find g(-4) And the (x2 - 4x) the 2 is a exponent

Luden [163]

Evaluate the given function in x=-4.

This is, replace the x in the function for -4 and find the value of g(-4).

$\begin{gathered} g(x)=x^2-4x \\ g(-4)=(-4)^2-4(-4) \\ g(-4)=16+16 \\ g(-4)=32 \end{gathered}$

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9 months ago

High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton

Mamont248 [21]

Answer:

$361\dfrac{1}{9}$ tons of high steel and $138\dfrac{8}{9}$ tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

$0.85x$ tons of iron

$0.15x$ tons of magnese

In y tons of low grade steel there are

$0.67y$ tons of iron

$0.33y$ tons of magnese

NASA orders 500 tons of steel, so

$x+y=500$

and specifies that it must be in the proportion 80% iron and 20% magnese, so

$0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400$

From the first equation,

$x=500-y$

Substitute it into the second equation:

$0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons$

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3 years ago

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2 years ago

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2 years ago