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IrinaK [193]
3 years ago
14

What is the value of the expression below?

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

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The diagonals of rectangle ABCD intersect at point E. If AE = 2x + 5, and BD = 5x + 2, what is AC?
Mkey [24]

<u>C. 42 units</u>

Step-by-step explanation:

I have attached a diagram to help you understand this problem. By looking at the diagram you can see that AE is half of BD, and that BD will be equal to AC. So we need to figure out the length of line BD to get AC.

To do this, you will multiply the length of AE by 2 and set it equal to BD.

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

Then distribute, multiply what is in the parentheses by 2.

4x+10=5x+2\\\\

Subtract 4x from both sides.

10=1x+2

Subtract 2 from both sides.

8=1x

x = 8

Now that we have x, we can plug it into the equation to find BD.

5 * 8 + 2=42

BD is equal to 42 units, so we know...

<u><em>AC = 42 units</em></u>

4 0
3 years ago
A sphere has a volume of 4,500. What is its surface area?
lara [203]

Answer:

2827.433

Step-by-step explanation:

First start with the volume of a sphere and use the given volume to solve for the radius r.

So the radius of this sphere is 15 inches.

Now we use this radius to find the surface area

And then you get 2827.433

5 0
3 years ago
45 pts! consider this quadratic equation. x^2+3=4x. Which expression correctly sets up the quadratic formula to solve the equati
Murljashka [212]

Answer:

A.

Step-by-step explanation:

7 0
3 years ago
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$213 ski jacket 30% discount
andrezito [222]
213. 30/100 = 213. 3/10 =63.9
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4 0
3 years ago
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What is the standard form of the number shown in this caculator display? 3.82eplus7​
ExtremeBDS [4]

3.82 E+7  is just an <u>engineering format</u>, another way to write it will  be 3.82 x 10⁷ in <u>scientific format</u>, or just 3.82 x 10000000   <--- notice, seven zeros.

and the product of the above is just 38200000, or <u>standard form</u>.

3 0
3 years ago
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