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2 years ago

Kevin can travel 22 1/2 miles in 1/3 hours. What is the average speed in miles per hour

Mathematics

1 answer:

Dmitry [639]2 years ago

7 0

So, to make it an hour, multiply both numbers by 3, and boom.
It's 67.5 miles an hour

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maxonik [38]

I think it's B and D because both of them will give you the same answer which is 2.71 but turn it into fraction.

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3 years ago

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Solve algebraically. <br>6(t-2) + 15t < 5(5 + 3t) <br><br>With work shown please!!

sammy [17]

Step-by-step explanation:

6t-12+15t | 25+15t

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3 years ago

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A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

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3 years ago

√200 in consecutive integers and in simplified form

myrzilka [38]

√200 = √2·100 = √2 · √100 = 10√2

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3 years ago

Graph the function on the coordinate plane.

Simora [160]

Answer:

The graph is attached.

Step-by-step explanation:

The graphs:

f(x) = x + 1 where x < 0

f(x) = 2 where 0 ≤ x ≤ 1

f(x) = x where x > 1

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