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Virty [35]
3 years ago
14

You have a 20-ounce bottle of juice. You pour out 14 of the bottle to share with a friend. If you pour out 3 ounces for yourself

, what fraction of the 20 ounces will be left in the bottle?
Mathematics
1 answer:
jeyben [28]3 years ago
4 0

20-14=6   6-3=3     3/20 is the answer for the fraction of ounces left
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The table represents a linear function. find the values of a,b, and c. Show your work.
viva [34]

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

- The equation of the line is y = mx + c, where m is the slope

  of the line and c is the y-intercept (the point of intersection

  between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2  ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2  ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2  ⇒ by using cross multiplication

∴ c - 5 = 4 ⇒ add 5 to both sides

∴ c = 9

* The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

6 0
3 years ago
Are 2/3 and 6/8 equivalent?
miskamm [114]
No they are not, 6/8 could also be represented as 3/4. Therefore they are not equivalent. You would divide each side by the factor they have in common such as 2.
7 0
3 years ago
Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality rep
AlexFokin [52]

Answer:

x < 2.5

Step-by-step explanation:

Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.

7 0
3 years ago
Read 2 more answers
Find out the product of 2,12 and 3
drek231 [11]
You mean 2x3x12? if yes, it is 72.
8 0
3 years ago
Read 2 more answers
Can anyone help me with 2 and 3
Ede4ka [16]
2: 14+15d+9c
3: a.
ignore this I need 20 characters.:)))
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