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3 years ago

Simplify the expression: 2x( 4x + 5) A 622 + 72 B 82 + 5 C 812 + 103 D O81 +10

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

=8x2+10x

Step-by-step explanation:

2x(4x+5)

=(2x)(4x+5)

=(2x)(4x)+(2x)(5)

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2 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

Area:

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

Cost:

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10HL = 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

3 0

3 years ago

If someone could please walk me through on how to answer this.

Elis [28]

To isolate c means to separate it completely on one side of the equals sign.

To isolate variables, you apply opposite operations.

In E = mc², m and c are being multiplied together. To separate them, you divide by the variable you want to get rid of. However, you must do this to both sides of the equation always. Whatever you do to one side of the equation you must do to the other side as well. This is so the equation remains true.

Since we want to isolate c, we'll start by dividing both sides by m.

E = mc²

E/m = mc²/m

E/m = c² -- The m's cancel as 1

Now we have c squared. The opposite of squaring something is taking its square root. Take the square root of each side.

E/m = c²

√(E/m) = √(c²)

√(E/m) = c -- Opposite operations cancel each other out

And you've isolated c!

Answer:

c = √(E/m)

3 0

3 years ago

2. Jamie bought a computer for $856.35 including tex He received an interest-free loan for the exact poor of the computer. If Ja

Ksju [112]

Answer:

57.09

Step-by-step explanation:

856.35/15. total amount divided by number of payments

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3 years ago