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3 years ago

14

hannah made 18 ounces of applesauce. She evenly portions the applesauce among 4 containers. how many ounces of applesauce are in

1 container

1 answer:

Fittoniya [83]3 years ago

5 0

4.5 ounces of applesauce in 1 container.

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PLS HELP ITS MY FINAL EXAM What is the area of the base of the cone below? A cone with height 12 feet and volume 90 feet cubed.

hoa [83]

Answer:

$A=22.5\ \text{feet}^2$

Step-by-step explanation:

We have,

Height of a cone is 12 feet

Volume of the cone is 90 feet

It is required to find the area of the base of the cone.

The base of a cone is circular in shape.

The formula used to find the volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2 h$

here, $\pi r^2=A$ (area of base of cone)

$V=\dfrac{1}{3}\times Ah\\\\A=\dfrac{3V}{h}\\\\A=\dfrac{3\times 90}{12}\\\\A=22.5\ \text{feet}^2$

So, the area of the base of the cone is $22.5\ \text{feet}^2$ .

3 0

3 years ago

Multiply & simplify: (2a - 3)(2a + 1)

RoseWind [281]

I hope this helps you

2a.2a+1.2a-3.2a-3.1

4a^2+2a-6a-3

4a^2-4a-3

3 0

3 years ago

Simplify the expression <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B4x%2B7%7D%7B2%7D%20-%5Cfrac%7B3x-2%7D%7B2%7D" id="TexFormul

ExtremeBDS [4]

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

8 0

3 years ago

It takes a hose 2 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it ta

rusak2 [61]

Volume of the first aquarium = (12" x 13" x 14") = 2,184 inches³

Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³

The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.

So it'll take the hose 17.44 times as long to fill the second one

= (17.44) x (2 minutes) = 34.9 minutes.

8 0

3 years ago

Amy's grandmother gave her 3 identical chocolate chip cookies and 4 identical sugar cookies. In how many different orders can Am

Dmitrij [34]

Answer:

chocolate chip cookie first: 15 ways

chocolate chip cookie last: 15 ways

chocolate chip cookie first and last: 5 ways

Step-by-step explanation:

There is a total of 7 cookies.

Is she eats a chocolate cookie first, she will have 2 chocolate cookies and 4 sugar cookies (6 in total).

So, to find the number of different orders that Amy can eat the remaining cookies, we just need to calculate a combination of 6 choose 2 (that is, the number of ways we can put the 2 chocolate cookies among the 6 cookies) or a combination of 6 choose 4 (same thing, but for the sugar cookies):

C(6,2) = 6! / (2! * 4!) = 6 * 5 / 2 = 15 ways

Is she eats a chocolate cookie last, she will have 2 chocolate cookies and 4 sugar cookies (6 in total), so the problem is solved again with a combination of 6 choose 2:

C(6,2) = 15 ways

Is she eats a chocolate cookie first and last, she will have just 1 chocolate cookie left and 4 sugar cookies (5 in total), so the problem is solved with a combination of 5 choose 1 or a combination of 5 choose 4:

C(5,1) = 5! / (1! * 4!) = 5 ways

6 0

2 years ago