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3 years ago

What is 532.60 × 8.53 with work included?

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

532.60

x 8.53

--------------------------------

159780

+ 2663000

42608000

---------------------------

4543.0780

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The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

pshichka [43]

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

Let radius of the small sphere =  $x$ 

As the radius of the large sphere is double the radius of the small sphere:

Then, radius of the large sphere = $2x$

To find that how many times is the volume of the large sphere than the small sphere, we will divide the volume of large sphere by volume of small sphere:-

For smaller sphere: $Radius = x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi x^{3}$

For larger sphere: $Radius = 2x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi (2x)^{3}$

Now, we will divide volume of the larger by the smaller one:

$=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\ \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\ \times\frac{1}{x^{3} }$

$\frac{4}{3}\pi\ is \ canceled\ by\ \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }$

Now, we have

= $\frac{8}{1}$

Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.

7 0

3 years ago

Read 2 more answers

Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that

Nostrana [21]

Answer:

$y=28.5x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

$m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}$

therefore

the equation of the linear equation

$y=28.5x$

5 0

3 years ago

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A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?

kenny6666 [7]

60 min = 1 hour

1st we need to know how many times 20 goes in 60 so we will divide.

60 ÷ 20 = 3

Now we will multiply to find the trains speed in miles per hour.

3 × 25 = 75

SO, the train travels 75 miles per hour.

Hope I helped ya!!

4 0

3 years ago

Please help me please

irina [24]

Answer: YOU WILL NEVER SUCCEED IF YOU DON’T TRY

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2 years ago

2(x-3) = (x-1) + 7 Please show your steps!!

andre [41]

Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6

Hope this helps.

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3 years ago

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