2 years ago

What expression is equivalent to (2a - 7) + 5(3 - a)

Mathematics

1 answer:

Colt1911 [192]2 years ago

7 0

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

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Find the equation of the line

uysha [10]

Answer:

y=x+5

Step-by-step explanation:

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3 years ago

A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height

notka56 [123]

Answer:

h = 16x

Step-by-step explanation:

The volume of a sphere and a cone is same such that,

$V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h$

We have, r = x, R = (1/2)x, h= ? (height of the cone)

So,

$\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x$

So, the height of the cone is equal to 16x.

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3 years ago

Is the relationship between 7,742 and 7,785 different in anyway?

timurjin [86]

Yes Because 7,785 is greater than 7,742.

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3 years ago

The slope of the line containing the points (-2,3) and (-3,1) is

Irina18 [472]

To calculate the slope containing two points, we can use that formula:

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}$

"m" represents the slope and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}$

The answer is 2 uc.

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2 years ago

Tom jogged 3/5 mile on Monday and 2/6 mile on Tuesday. how much farther did Tom jog on Monday than on tuesday

pashok25 [27]

3/5= 18/30, 2/6= 10/30, so Tom jogged 8/30 more of a mile on Monday then tuesday

7 0

3 years ago

Read 2 more answers