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3 years ago

5

Two runners one averaging 9 mph and the other averaging 8 mph start the same place and run along the same trail the slower runne

r arrives at the end of the trail a quarter of an hour after the faster runner how far did each person run

1 answer:

andreev551 [17]3 years ago

8 0

Answer:

5.5 miles

Step-by-step explanation:

15 divided into 8.0

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An open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the

natka813 [3]

Please find the attachment.

Let x represent the side length of the squares.

We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

The side of box will be $8-x-x=8-2x$ and $10-x-x=10-2x$ .

The height of the box will be $x$ .

The volume of box will be area of base times height.

$\text{Volume of box}=(8-2x)(10-2x)\cdot x$

Now we will use FOIL to simplify our expression.

$\text{Volume of box}=(80-16x-20x+4x^2)\cdot x$

$\text{Volume of box}=(80-36x+4x^2)\cdot x$

Now we will distribute x.

$\text{Volume of box}=80x-36x^2+4x^3$

$V(x)=80x-36x^2+4x^3$

Therefore, the volume of the box would be $V(x)=80x-36x^2+4x^3$ .

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3 years ago

Write an equation to represent the following statement.<br> 24 is 4 times as great as k.

Artyom0805 [142]

Answer:

24 x 4 = k x 4

Step-by-step explanation:

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3 years ago

Write the number in two other forms 6.7

kotegsom [21]

Word form - six.seven Expand form - 6 + 0.7

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2 years ago

Number 5 ABC or D? Please help

RoseWind [281]

Answer:

D

Step-by-step explanation:

you want to solve it out

start with multiplying z to each. you don't multiply it to the 6 because it is in the same parenthesis set, but you multiply it to everything in the other set. After multiplying, you get: $2z^3$ , $3z^{2}$ , $5z$

now do that to the 6. After multiplying you get: $12z^{2}$ , $18z$ , $30$

now set it all next to each other $2z^3$ + $3z^{2}$ + $5z$ + $12z^{2}$ + $18z$ + $30$

now combine like terms. start with the to the highest power. since there is only one that has a third power, you put that one first. then you combine the squared ones, and so forth.

work combining the squares: $3z^{2} + 12z^{2} = 15z^{2}$

work combing the single z's: $5z + 18z = 23z$

to get this: $2z^3$ + $15z^{2}$ + $23z$ + $30$

so, the answer is D

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3 years ago

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles 14 red marbles

Zinaida [17]

The probability of drawing both without replacing either is :

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The probability of drawing both WITH replacement is:

14/41 * 12/41 = 168/ 1681

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