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3 years ago

11

Mom made a pitcher of lemonade. The pitcher holds 16 cups. If Sam drinks one- half of the lemonade and Lilly drinks 2 cups , how

much is left for other members of the family?

1 answer:

kakasveta [241]3 years ago

8 0

The answer is 6 one half of the lemonade takes it down to 8 cups left and the minus another two.

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kvv77 [185]

Divide everything by 8: 550/8=68.75, 250/8=31.25. The new dimensions are 68.75 inches by 31.25 inches :)

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3 years ago

What are factorials? And how do you do them in fractions like

Ket [755]

I think that it is 54

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3 years ago

I need help with this question

egoroff_w [7]

Answer:

C. No, because there is an input value that has two different output values.

Step-by-step explanation:

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3 years ago

Carter is solving for x by the process of completing the square for the following

Ksenya-84 [330]

Answer:

The number that goes in place of the question mark is 2.

Step-by-step explanation:

Let's solve it!

3x² + 12x - 24 = 0

First we can factor 3 out of each term:

x² + 4x - 8 = 0

Now we'll add 12 to both sides to complete the square:

x² + 4x + 4 = 12

And finish it off:

(x + 2)² = 12

So the answer to the question is 2

Bonus:

We can also now solve this for x:

(x + 2)² = 12

x = √12 - 2

x = 2√3 - 2

x ≈ 2 × ±1.732 - 2

x ≈ 1.464, -5.464

3 0

3 years ago

Which statements about the cylinder are true? Select two

Rus_ich [418]

Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=\frac{x}{2}\ units$ ----> the radius is half the diameter

$V=\pi x^{3}\ units^3$

substitute the given values in the formula of volume

$\pi x^3=\pi (\frac{x}{2})^{2}h$

solve for h

simplify

$x=(\frac{1}{4})h$

$h=4x\ units$

<u>Verify each statement</u>

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

$A=\pi r^{2}$

$r=\frac{x}{2}\ units$

substitute

$A=\pi (\frac{x}{2})^{2}$

$A=\frac{\pi x^2}{4}\ units^2$

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

$A=\frac{\pi x^2}{4}\ units^2$

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

7 0

3 years ago