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tresset_1 [31]
3 years ago
11

The function v(r)=4/3pir^3 can be used to find the volume of air inside a basketball given its radius. What does v(r) represent

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0
V(r) represents as the volume of a sphere
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IT IS TRUE

Step-by-step explanation:

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An office supply company sells two types of fax
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14 of the machine that cost $150 was sold and 8 of the machine that cost $225 was sold.

To solve this problem, we would write a system of linear equations.

  • Let x represent the machine that cost $150
  • Let y represent the machine that cost $225

We can proceed to write our equations now.

x + y = 22...equation(i)\\150x + 225y = 3900...equation(ii)

From equation 1

x+ y = 22\\x = 22 - y...equation (iii)

<h3>The Value of Y</h3>

put equation (iii) into (ii)

150x + 225y =3900\\x = 22-y\\150(22-y)+225y=3900\\3300-150y+225y=3900\\3300+75y=3900\\75y=3900-3300\\75y=600\\75y/75=600/75\\y=8

<h3>The Value of X</h3>

Since we know the number of y, we can simply substitute it into equation (i) and solve.

x + y = 22\\x + 8 = 22\\x = 22-8\\x = 14

From the calculations above, 14 of the machine that cost $150 was sold and 8 of the machine that cost $255 was sold.

Learn more about system of equations here;

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Find the solution to each equation mentally or use your calculator. (do the opposite of the number on the left side of the equat
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B) b= -300

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D) -3567
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Which is the graph of the linear inequality 1/2 x – 2y &gt; –6? Image for option 1 Image for option 2 Image for option 3 Image f
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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

\frac{1}{2}x-2y > -6

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-2y > -6-\frac{1}{2}x

Divide by -2 both sides

y < 3+\frac{1}{4}x

The solution of the inequality is the shaded area below the dashed line y = 3+\frac{1}{4}x

To plot the inequality find the intercepts

The y-intercept is the point (0,3)  (value of y when the value of x is equal to zero)

The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)

Plot the intercepts

Drawn the dashed line

shaded the region below the dashed line

The graph in the attached figure

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