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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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Step-by-step explanation:

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Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

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so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

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so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

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