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3 years ago

13

Chase's car used 4 gallons of gas to drive 86miles. How many miles did chase drive using 2 gallons? And how many gallons did cha

se use driving 215miles?

1 answer:

Nat2105 [25]3 years ago

4 0

Answer:

43 mi & i think its 107.5 gal

Step-by-step explanation:

4 gal= 86 mi

4/2=2 86/2=43

2 gal= 43 mi

to get the 107 i just divided 215 by 2

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The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0

3 years ago

If x ≥ 0 and y ≥ 0, then which quadrant holds the solution?

Tju [1.3M]

Quadrent 1 because they are both positive numbers

5 0

3 years ago

Read 2 more answers

Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?

ale4655 [162]

I think if u add 364+348 you will get 712

4 0

3 years ago

Read 2 more answers

Need help using synthetic division!

viktelen [127]

Answer:

$3x^{2} -3x+8-\frac{9}{x+1}$

Step-by-step explanation:

Since we're dividing the polynomial by $(x+1)$ , we'll be using -1 to start the division.

Before setting the division up, let's list the coefficients of $x$ from descending powers and the constant.

The coefficient of $x^{3}$ is 3

Since we don't see an $x^{2}$ , the coefficient will be 0.

The coefficient of $x$ is 5.

Lastly, the constant, which is the term without the $x$ is -1.

Refer to the attached picture before continuing.

After referring to the picture, we now have the coefficients for the quotient.

The coefficient of $x^{2}$ is 3.

The coefficient of $x$ is -3.

The constant is 8.

Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.

The remainder is actually $\frac{-9}{x+1}$ .

Now putting all the pieces together, we get:

$3x^{2} -3x+8-\frac{9}{x+1}$

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3 years ago

Liam is deciding which of two gyms to join. Each gym charges a monthly rate plus one-time membership fee. Liam correctly wrote a

Brums [2.3K]

Liam can conclude that the cost of the memberships for both gyms are equal.

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3 years ago