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melisa1 [442]
4 years ago
11

A carpenter uses 65 shelves to make 13 bookcases.She uses the same number of shelves for each bookcase are 32 shelves enough to

build 6 more bookcases
Mathematics
1 answer:
bezimeni [28]4 years ago
7 0
65/13=5
6x5=30, so she has enough to build 6 more shelves with 2 left over
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If the polygon shown below is a regular nonagon, what is the value of x?
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Answer:40

Step-by-step explanation:

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Ared has 3 7 of the minutes on a family phone plan remaining for the month. The plan is shared by 2 people. If divided equally,
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5 minutes will be reamaning but . the two people get 18 minutes so to get equel time for 5 minutes one person gets 2:30 and other 2;30 more

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4 years ago
Shortly after creating a car washing business, you made $65 washing ten
nevsk [136]

Answer:

A) For the slope;

Rate of change in profit per change in number of cars washed = 10

B) when he had not washed any car, he was in debt of of $35

C) When he made $255, he had washed 29 cars

Step-by-step explanation:

Slope intercept equation of a line is;

y = mx + c

you made $65 washing ten

cars. Thus, x = 10 and y = 65

So, 65 = 10m + c - - - - (eq 1)

Then after fifteen cars, you made $115.

Thus, x = 15 and y = 115

So; 115 = 15m + c - - - - (eq 2)

Subtract equation 1 from eq(2) to get;

115 - 65 = 15m - 10m + c - c

50 = 5m

m = 50/5

m = 10

Putting 10 for m in eq 1 gives;

65 = 10(10) + c

65 = 100 + c

c = 65 - 100

c = -35

A) Since the slope is m = 10 and slope is m = Δy/Δx, it means that;

Rate of change in profit per change in number of cars washed = 10

B) c = -35 is the y-intercept.

This means when x = 0, y = - 35.

It implies that when he had not washed any car, he was in debt of of $35

C) since we have the slope and intercept, equation is;

y = 10x - 35

If he has made $255,then we have;

255 = 10x - 35

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7 0
3 years ago
A cone and a cylinder have the same height and their bases are congruent circles
Anettt [7]

Answer:

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Step-by-step explanation:

the volume of a cylinder is given by:

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and the volume of a cone is given by:

v_{cone}=\frac{\pi r^2 h}{3}

since both have the same height and radius, we can solve each equation for r^2h (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

r^2h=\frac{v_{cylinder}}{\pi}

and from the cone's volume formula:

r^2h=\frac{3 v_{cone}}{\pi}

matching the two previous expressions:

\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}

we solve for the volume of a cone v_{cone}:

v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}

substituting the value of the cylinder's volume v_{cylinder}=90cm^3

v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3

5 0
4 years ago
Read 2 more answers
Paul has two label-printing machines. Each machine can print 30 labels per minute. On day 1, only the first machine was used, an
lord [1]
Answer- 90 + 30x + 30y
Hope this helped! ;)
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3 years ago
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