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Kruka [31]
3 years ago
13

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 48 inches,

how long is each spoke? Use 3.14 for π, and round your answer to the nearest hundredth.
a. 7.64 inches
b. 12 inches
c. 15.29 inches
d. 8 inches
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
<span>The spoke of a wheel reaches from the center of the wheel to its rim implies that the spoke of the wheel is describes the radius to the wheel. The circumference of a circle is given by C = 2πr. i.e. 48 = 2 x 3.14r = 6.28r => r = 48 / 6.28 = 7.64 inches.Hope this helps. Let me know if you need additional help!</span><span />
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What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr
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Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

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Listed are the quantities of green grapes Martha bought for four months in the amount that she spent on them. In May, she bought
Firlakuza [10]

Answer:

It is in February that the unit price of grapes ($2.70 per pound of grapes) is the same as that of May.

Step-by-step explanation:

Complete Question

Select the correct month.

Listed are the quantities of green grapes Martha bought for four months and the amount that she spent on them. In May, she bought 2 pounds of grapes for $5.40, in which month was the unit price the same as it was in May?

January

2 pounds for $7.40

February

4 pounds for $10.80

March

5 pounds for $11.65

April

3 pounds for $7.50

Solution

In May, Martha bought 2 pounds of grapes for $5.40.

The unit price per pound = (5.40/2) = $2.70 per pound of grapes.

We can then do this for the months given to obtain which month in which the unit price is the same as it was in May?

For January

She bought 2 pounds of grapes for $7.40

Unit price per pound = (7.40/2) = $3.70 per pound of grapes.

For February

Martha bought 4 pounds of grapes for $10.80.

Unit price per pound = (10.80/4) = $2.70 per pound of grapes.

March

She bought 5 pounds of grapes for $11.65.

Unit price per pound = (11.65/5) = $2.33 per pound of grapes.

April

She bought 3 pounds of grapes for $7.50.

Unit price per pound = (7.50/3) = $2.50 per pound of grapes.

It is evident that it is in February that the unit price of grapes ($2.70 per pound of grapes) is the same as that of May.

Hope this Helps!!!

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3 years ago
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