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dezoksy [38]
3 years ago
15

A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice. How much of each ingredi

ent would you need to make 100 quarts of sparkling grape juice?
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

9514 1404 393

Answer:

  • 76.71 quarts of sparkling water
  • 23.29 quarts of grape juice

Step-by-step explanation:

The ratio of sparkling water to total volume is ...

  water : juice = 112 : 34

  water : total volume = water : (water +juice) = 112 : (112 +34) = 112/146

Then the amount of 100 quarts of sparkling grape juice that is sparkling water will be ...

  water/total = w/100 = 112/146

  w = 100(112/146) ≈ 76.71 . . . . quarts of sparkling water

  j = 100 -w = 23.29 . . . . . . . . . quarts of grape juice

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miskamm [114]

Answer:

x = -5

Explanation:

4(2x + 10) = 0

[ Simplify both sides of the equation ]

4(2x + 10) = 0

(4)(2x) + (4)(10) = 0 [Distribute]

8x + 40 = 0

[ Subtract 40 from both sides ]

8x + 40 − 40 = 0 − 40

8x = −40

[ Divide both sides by 8 ]

8x  / 8 = −40 / 8

x = -5

4 0
3 years ago
Write the word sentence as an inequality.
mr_godi [17]

THE ANSWER :

k < 10

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A number k = k

less than = <

7 0
2 years ago
Richard bought 32.4 pounds of potting soil and 45.6 pounds of sand. She got the potting soil for $0.86 per pound and the sand fo
frozen [14]

Answer:

67.00

Step-by-step explanation:

Add the numbers.

You get 67.08.

You want it rounded.

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3 0
3 years ago
Please help me guys as fast as possible I BEG YOU, thanks!
LuckyWell [14K]

Answer:

2u + v - 4w = <40 , -4>

6u - 8v = <-78 , 58>

4v - 7w = <101 , -36>

11u + 3w = <-88 , 89>

Step-by-step explanation:

* Lets find the value of each operation to find its resultant vector

# 2u + v - 4w

∵ u = <-5 , 7>

∴ 2u = <-10 , 14>

∵ v = <6 , -2>

∵ w = <-11 , 4>

∴ 4w = <-44 , 16>

∴ 2u + v - 4w = <-10 + 6 - -44 , 14 + -2 - 16>

∴ 2u + v - 4w = <40 , -4>

# 6u - 8v

∵ u = <-5 , 7>

∴ 6u = <-30 , 42>

∵ v = <6 , -2>

∵8v = <48 , -16>

∴ 6u - 8v = <-30 - 48 , 42 - -16>

∴ 6u - 8v = <-78 , 58>

# 4v - 7w

∵ v = <6 , -2>

∴ 4v = <24 , -8>

∵ w = <-11 , 4>

∴ 7w = <-77 , 28>

∴ 4v - 7w = <24 - -77 , -8 - 28>

∴ 4v - 7w = <101 , -36>

# 11u + 3w

∵ u = <-5 , 7>

∴ 11u = <-55 , 77>

∵ w = <-11 , 4>

∴ 3w = <-33 , 12>

∴ 11u + 3w = <-55 + -33 , 77 + 12>

∴ 11u + 3w = <-88 , 89>

7 0
3 years ago
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Vlad [161]

Answer:

10:6

Step-by-step explanation:

6 0
3 years ago
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