3 years ago

What is the unit rate for meters per second if a car travels 480 meters in 24 seconds?

Mathematics

1 answer:

Yanka [14]3 years ago

8 0

20 meters per second

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A spool contains 270 inches of wire. How many pieces of wire, each with the a length of 1 7/8 inches, can be cut from the spool?

prisoha [69]

You would be able to cut 144 pieces of wire from the spool because 270/1 7/8 (or 1.875) equals 144

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3 years ago

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2. -1.3

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2 years ago

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

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4 years ago

What is the image of G for a dilation with center (0, 0) and a scale factor of 1?

Naily [24]

If the scale factor is 1, the image G' is the same as the original pont G. It is
(1, -3)

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4 years ago

Read 2 more answers

Please help and please show work!!!

mina [271]

9514 1404 393

Answer:

a. 61

Step-by-step explanation:

The remainder theorem tells you the remainder of f(x)/(x -3) is equal to f(3). Using x=3 in the expression, we have ...

4x³ -2x² -10x +1

= ((4x -2)x -10)x +1

= ((4·3 -2)(3) -10)(3) +1 = (10·3 -10)(3) +1 = 20·3 +1

= 61

The remainder from division by (x -3) is 61.

3 0

3 years ago