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3 years ago

A number next to a variable always showd

1 answer:

8 0

The number next to a variable, for example: 5x, is called a coefficient. And all you do is multiply the number with the variable

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The volume of a right square pyramid is 80 cubic feet. If the sides of the base are doubled, but the height remains the same, wh

maksim [4K]

Answer:

320 cubic feet

Step-by-step explanation:

The volume is proportional to the product of the area of the base and the height of the pyramid. When the dimensions of the base are doubled, the area is multiplied by 2² = 4, hence the volume of the pyramid will be multiplied by 4.

4 × (80 ft³) = 320 ft³

The new volume of the pyramid is 320 cubic feet.

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3 years ago

A train is carrying 1,425 passengers. Each of the train’s cars can hold 30 passengers. How many train cars are needed to hold al

erastova [34]

The train needs 48 carts in total

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3 years ago

I dont know i need help please

Minchanka [31]

Answer:

Step-by-step explanation:

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3 years ago

Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$