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Ronch [10]
3 years ago
11

A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measur

es 18' by 42'? Express your answer in cubic yards.
Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

L = length, W = width and T = thiknes is:

V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

The first step is to write our 3 numbers in the same units, then we can use that:

1 inch = 0.083 ft.

Then 10 inches are equal to:

10'' = 10*(0.083 ft) = 0.83 ft = 0.83'

Then the volume of concrete needed will be:

V = 0.83ft*18ft*42ft = 627.48 ft^3

But we want this expressed in yd^3

1ft = 0.33 yd

then

1ft^3 = (0.33 yd)^3 = 0.036 yd^3

then 627.48 ft^3 can be written as:

627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3

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NNADVOKAT [17]

1.) 9(4) + 8(5)

36 + 40 = 74

2.) 2(3) + 8(3)

6 + 24 = 30

3.) 4(5) + 7(5)

20 + 35 = 55

4.) 10(4) + 18(5)

40 + 90 = 130

5.) 2 + 8(1/4)

2 + 2 = 4

6.) 9(1/3) + 8(1/4)

3 + 2 = 5

7.) 3(8) + 7(4)

24 + 28 = 52

8.) 12(1/4) + 16(5)

4 + 80 = 84

8 0
3 years ago
The height of a triangle is 2 units longer than it's base. If the area is 12 square units,what is the length of the base
Delicious77 [7]
The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4
6 0
3 years ago
Find the value of x, 110°, 4x+2, and if you can help with steps that would be great :,)
Helen [10]

Answer:

x = 17

Step-by-step explanation:

The two angles with measures form a linear pair and are supplementary.

The measures of supplementary angles has a sum of 180°.

If you add the two given measures, the sum must equal 180°.

4x + 2 + 110 = 180

4x + 112 = 180

4x = 68

x = 68/4

x = 17

7 0
3 years ago
Rufus collected 18 pounds of
RoseWind [281]

Answer:

12

Step-by-step explanation:

collected can=18pound

total can to collect=42

collected can per week=2

now,

42-18 =24

so, remaining cans to collect is 24pound

and,

24/2

=12

so, Rufus have to collect for 12 weeks for 42pound of cans in total

8 0
4 years ago
Unit 4
Dennis_Churaev [7]
He did this then that plus to this and that =334.2
6 0
3 years ago
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