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Zepler [3.9K]
3 years ago
11

Shampoo can be bought in 5 gallon pails. The groomer uses 16 ounce bottles to to hold the shampoo. How many bottles can he get o

ut of the 5 gallon pail?
Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

The groomer can get 40 bottles out of the 5 gallon pail.

Step-by-step explanation:

A gallon contains 128oz (ounces)

128/16=8

8 bottles/gallon

times both sides by 5

40 bottles/5 gallons

Therefore the groomer can get 40 bottles out of the 5 gallon pail

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Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Jo
BARSIC [14]

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

8 0
4 years ago
Krystal left the bookstore traveling 18 mph. Then, 3 hours later, Kori left traveling the same direction at 27 mph. How long unt
Eddi Din [679]

Answer:

Korl will catch up to Krystal in 2 hours.

Step-by-step explanation:

18x3=54 this shows how long Krystal has driven in 3 hours.

27x2=54 this shows that in 2 hours Korl will have driven 5 mph.

Now as you can see both quotient are 54 and the question is How long until Korl catches up to Krystal so it's 2 hours

HOPE THIS HELPED:)

3 0
2 years ago
F(x) = x2 + 5<br> When the domain is ={-2.-1,1} what is the range
Citrus2011 [14]

Answer:

Range = {6, 9}.

Step-by-step explanation:

Just plug in the 3 numbers:

Range = (-2)^2+5 , (-1)^2 + 5 and 1^1 + 5

= 9, 6 and 6.

7 0
3 years ago
In the ordered pair (3, 4), which number represents the x-coordinate
zavuch27 [327]

Answer:

3

Step-by-step explanation:

Coordinate pairs are represented like this (x, y). So since 3 is in the first spot, it is the x coordinate.

3 0
3 years ago
ANSWER FAST ILL GIVE BRAINLIEST!!
Dominik [7]

Given:

A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.

To find:

The surface area of the pyramid to the nearest whole number.

Solution:

A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.

Area of a square is

A_1=(edge)^2

A_1=(10)^2

A_1=100

So, area of square base is 100 sq. in.

Area of a triangle is

A_2=\dfrac{1}{2}\times base\times height

A_2=\dfrac{1}{2}\times 10\times 4

A_2=20

So, area of each triangular surface is 20 sq. in.

Now, the total surface area of the pyramid is

Total area = Area of square base + Area of 4 congruent triangles.

A=A_1+4\times A_2

A=100+4\times 20

A=100+80

A=180

Therefore, the area of the pyramid is 180 sq. in.

5 0
3 years ago
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