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2 years ago

10 gallons of gasoline costs $130. The cost of gasoline per gallon is

Mathematics

1 answer:

antoniya [11.8K]2 years ago

3 0

13 dollars per gallon

130\10 = 13

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I need the answer pls help!

valina [46]

Answer:

x = ± 7

Step-by-step explanation:

Given

(2x - 1)(3x + 2) = x + 292 ← expand left side using FOIL

6x² + x - 2 = x + 292 ( subtract x from both sides )

6x² - 2 = 292 ( add 2 to both sides )

6x² = 294 ( divide both sides by 6 )

x² = 49 ( take the square root of both sides )

x = ± 7

That is x = - 7, x = 7

7 0

4 years ago

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

4 0

3 years ago

Find the volume of the sphere. Give the answer in terms of pi and rounded to the nearest cubic foot.

Inessa05 [86]

Hi there!

The formula for the volume of a sphere is V = 4/3(pi)(r^3). Using this formula, we can plug in what we know and solve.

WORK:
V = 4/3(pi)(10^3)
V = 4/3(1000pi)
V = 4000pi/3 or 1333.3 pi
V also = 4188.8

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

3 0

3 years ago

Read 2 more answers

This year the winner of the new york marathon ran the 8 kilometer event in 24 mins. What is the runners unit rate

Nataliya [291]

3km / 1 min because 24/8 =3

6 0

3 years ago

Refer to the figure to complete the proportion

MariettaO [177]

I hope this helps you