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irina1246 [14]
3 years ago
15

You have a 20 - ounce bottle of juice. You pour out 1/4 of the bottle to share with a friend. If you pour out 3 ounces for yours

elf,what fraction of the 20 ounces will be left in the bottle?
Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

3/5

Step-by-step explanation:

You have a 20 ounce bottle. You pour out 1/4 of it.

20 x 1/4 = 20/4 = 5   You pour out 5 ounces.

20 - 5 = 15 ounces

If you pour out 3 ounces for yourself,  15 - 3 = 12

what fraction of the 20 ounces (original or total amount) will be left in the bottle?

12 ounces is left after pouring out 1/4 of the bottle for your friend and 3 ounces for yourself. 20 ounces was the total amount you first had in the bottle. The fraction that is left is calculated by dividing the amount left (12) by the total (20)

12/20  BUT each number can be divided by/reduced by 4, so dividing each number by 4  (12/4 = 3, 20/4 =5) gives 3/5.

3/5

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olasank [31]

Answer:

f = 6

Step-by-step explanation:

f = 42/7 = 6

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6 0
3 years ago
A stadium has 50,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Sect
Pepsi [2]

Answer:

Section A holds 25,000 seats, section B holds 14,500 seats and section C holds 10,500 seats.

Step-by-step explanation:

From the information given you can write the following equations:

A+B+C=50,000 (1)

28A+24B+20C=1,258,000 (2)

A=B+C (3)

A= number of seats in section A

B= number of seats in section B

C= number of seats in section C

You can replace (3) in (1) and (2) to get two equations:

B+C+B+C=50,000

2B+2C=50000

28(B+C)+24B+20C=1,258,000

28B+24B+28C+20C=1,258,000

52B+48C=1,258,000

The two equations are:

2B+2C=50000 (4)

52B+48C=1,258,000 (5)

You can isolate B in (4):

2B=50,000-2C

B=(50,000/2)-(2C/2)

B=25,000-C

Now, you can replace B in (5):

52(25,000-C)+48C=1,258,000

1,300,000-52C+48C=1,258,000

1,300,000-1,258,000=4C

42,000=4C

C=42,000/4

C=10,500

Now, you can replace the value of C in B=25,000-C:

B=25,000-10,500

B=14,500

Finally, you can replace the values of B and C in A=B+C to find A:

A=14,500+10,500

A=25,000

According to this, the answer is that section A holds 25,000 seats, section B holds 14,500 and section C holds 10,500.

6 0
3 years ago
What is 20/-12 as a mixed number
kompoz [17]

if we divide 20 by 12, we get a quotient of 1, and a remainder of 8.

\bf -\cfrac{20}{12}\implies -\stackrel{quotient}{\text{\huge 1}}\frac{\stackrel{remainder}{8}}{12}\implies -1\frac{8}{12}

5 0
3 years ago
What is (128 +7x- 12) = (4x - 3)?​
podryga [215]

Answer:

x = -119/3 = -39 2/3

Step-by-step explanation:

(128 +7x- 12) = (4x - 3)

Combine like terms

(116 +7x) = (4x - 3)

Subtract 4x from each side

116 +7x-4x=4x-4x-3

116 +3x = -3

Subtract 116 from each side

116-116 +3x = -3-116

3x = -119

Divide each side by 3

3x/3 = -119/3

x = -119/3

x = -39  2/3

4 0
3 years ago
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