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What is the volume of this right prism? 96 in³ 60 in³ 48 in³ 44 in³

yulyashka [42]

Answer:

96 in³

Step-by-step explanation:

Volume = 2(BHD) / 2

The 2s cancel out

Volume = 3(8)4

Volume = 96

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1 year ago

How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? Write a formula

irga5000 [103]

It'll take her 15 hours.
Formula: 975= 65x
Where x represents hours

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3 years ago

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Identify next three numbers in this sequence: 2, 8, 4, 16, 12

Tomtit [17]

The next three numbers are 48, 44, 176

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2 years ago

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A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per

svetoff [14.1K]

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This is done by dividing total distance by number of miles per gallon

$Van = \frac{2500}{12} \ gallon$

$Sedan = \frac{2500}{36}\ gallon$

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

$Van = \frac{2500}{12} * \$2.50$

$Van = \frac{\$6250}{12}$

$Van = \$520.833$

$Sedan = \frac{2500}{36}* \$2.50$

$Sedan = \frac{\$6250}{36}$

$Sedan = \$173.611$

Next is to get the difference between these amounts

$Difference = \$520.833 - \$173.611$

$Difference = \$347.222$

Multiply by 100 to convert to cents

$Difference = 347.222 * 100 cents$

$Difference = 34722.2 \ cents$

$Difference = 34722\ cents$ (Approximated)

Hence;

The family will pay 34722 cents more if they take the van

8 0

3 years ago

The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

$C(x) = 0.09x^3 - 4.5x^2 + 180x$

Where,

x = number of wheel,

So, the average cost per wheel,

$A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180$

Differentiating with respect to x,

$A'(x) = 0.18x - 4.5$

Again differentiating with respect to x,

$A''(x) = 0.18$

For maxima or minima,

$A'(x) = 0$

$0.18x - 4.5 = 0$

$0.18x = 4.5$

$\implies x = \frac{4.5}{0.18}=25$

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0

3 years ago