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Vika [28.1K]
4 years ago
8

Paul plans to put concrete on a rectangular portion of his driveway. The portion is 12 feet long and six inches high. The price

of concrete is $98 per cubic yard. The total cost of the concrete Paul needs is $108.89. Which of the following is closest to the width of the portion of the driveway on which Paul plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]

a) 3 feet
b) 5 feet
c) 8 feet
d) 10 feet
Mathematics
2 answers:
hammer [34]4 years ago
8 0
The answer would be B I took the test right now and got 100%
coldgirl [10]4 years ago
3 0
The width needed would be 5 feet, so B. 
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The volume of a cylinder is 4,019.2 cubic units. If the radius is 8 units, how tall is the cylinder?
AVprozaik [17]
We will be using the formula in looking for the volume of the cylinder which is

V = πr²h

where:

r = radius
h = height
V = volume

but in the problem V and r have values already:
r = 8
V = 4019.2

plug this in the volume equation:

V = πr²h
= 4019.2 = π* 8² * h
= 4019.2 = 64πh
= 4019.2 / 64π = h

so the answer is: h = 4019.2 /201.06193
= 19.99 is the height of the cylinder.


8 0
3 years ago
Question 2(Multiple Choice Worth 4 points) (08.02)A pair of equations is shown below. x + y = 5 y = one halfx + 2 If the two equ
8_murik_8 [283]

Answer:

(2,3)

Step-by-step explanation:

The first equation is  x+y=5

The second equation is y=\frac{1}{2}x+2

When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.

We can solve the two equations simultaneously to determine their point of intersection.

Let us substitute the second equation into the first equation to get;

x+\frac{1}{2}x+2=5

Multiply through by 2 to get;

2x+x+4=10

Group similar terms to obtain;

2x+x=10-4

Simplify;

3x=6

Divide both sides by 3;

\Rightarrow x=2

Put x=2 into the second equation;

y=\frac{1}{2}(2)+2

\Rightarrow y=1+2

\Rightarrow y=3

Therefore the graphs of the two functions intersect at (2,3)

See graph in attachment.

3 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!!!
Alchen [17]

Answer:

3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3  + 216 times 3+ 343 times 3

2352 cubic units^3

Step-by-step explanation:

3 0
3 years ago
You spend $24 on school supplies. You purchase pencils for $1 each and pens for $2 each. You purchase a total of 20 pens and pen
Phantasy [73]
You purchased 4 pens and 16 pencils.
7 0
3 years ago
The table below represents the function F. The equation that represents this function is
DIA [1.3K]
<h2>Hello!</h2>

The answer is:

C. F(x)=2^{x}-1

<h2>Why?</h2>

In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.

Substituting into the first equation, option A:

F(x)=3^{x} \\F(3)=3^{3}=27\\F(3)=3^{4}=81

... and so.

We can see that the option A is not the correct option since the obtained values do not match with the given values.

Substituting into the second equation, option B:

F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12\\

... and so.

We can see that the values obtained from the function do not match with the given values, so the option B is not correct.

Substituting into the third equation, option C:

F(x)=2^{x}-1\\F(3)=2^{3}-1=8-1=7\\F(4)=2^{4}-1=16-1=15\\F(5)=2^{5}-1=32-1=31\\F(7)=2^{7}-1=128-1=127\\F(8)=2^{8}-1=256-1=255\\

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.

Have a nice day!

8 0
3 years ago
Read 2 more answers
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