Mathematics, 29.08.2019 10:30 alwaysneedhelp84

Kevin plans to put concrete on a rectangular portion of his driveway. the portion is 10 feet long and three inches high. the price of concrete is $98 per cubic yard. the total cost of the concrete kevin needs is $72.59. which of the following is closest to the width of the portion of the driveway on which kevin plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
3 feet
6 feet
8 feet
10 feet

Answers: 2

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Answers

Answer from: angie249

The correct answer is 8 ft.

Explanation:
We start out by finding out the number of cubic feet of concrete used.
The cost of the concrete he used is $72.59. Since concrete is $98 per cubic yard, this means he uses less than 1 cubic yard. We divide 72.95/98 to find out what portion of a cubic yard he uses: 72.95/98 = 0.74 cu. yd.

Since the measurements of the driveway are given in feet and inches, we will change 0.74 cu. yd. to cubic feet. 1 cubic yard is a cube with length, width and height all 1 yd. 1 yd = 3ft, so the measurements of the cube are 3ft by 3ft by 3ft; this makes a volume of 27 cu. ft. We need 0.74 cu. yd. of concrete; 0.74*27 = 19.98 cu. ft.

We know that the volume of a rectangular prism is V=lwh. We have V=19.98, l=10, and h=3/12=0.25 (3 inches out of 12 inches it takes to make a foot). This leaves our width, w, unknown, and gives us the equation
19.98=10w(0.25).

Simplifying the right hand side gives us
19.98=2.5w.

Divide both sides by 2.5:
19.98/2.5 = 2.5w/2.5
7.992=w.

This rounds to 8 feet.

Answer from: GingerSnaps

8 feet

Step-by-step explanation:

The price of concrete is $98 per cubic yard.

1 cubic yard= $98

$\$1=\frac{1}{98}\ cu\ yard$

The total cost of the concrete Kevin needs is $72.59.

$\$72.59=\frac{72.59}{98}\ cu\ yard$ ....> Volume of concrete

In feet, the volume of the concrete = $\frac{72.59}{98}\times3\times3\times3=19.99928\approx20\ cu\ feet$

The volume of rectangular figure is given by :_

Volume=length*width*height

Length of concrete = 10 feet

, height of concrete = 3 inches=3/12 feet=1/4 feet

Let x be the width of the rectangular concrete, then the volume of the concrete is given by:-

$20=10*x*\frac{1}{4}\\\Rightarrow\ x=8\ feet$

Hence, the closest value for width f the portion of the driveway on which Kevin plans to put concrete=8 feet

Answer from: Quest

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17. e. none of the above

Answer from: Quest

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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