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Afina-wow [57]
3 years ago
7

Mark uses 10 cups of apple juice and 16 cups of orange juice to make fruit punch. Deon uses an equivalent ratio of apple juice t

o orange juice when he makes fruit punch. Which ratio of apple juice to orange juice could Deon use?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Given that,

No of cups of Apple juice = 10

No of cups of Orange juice = 16

Solution,

The ratio of Apple juice to the Orange juice will be :

R=\dfrac{10}{16} ....(1)

For equivalent fraction, multiply both numerator and denominator by 2 such that,

R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}

Dividing both numerator and denominator 2 such that,

R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}

So, the required ratio is 5/8.

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3 years ago
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con
tankabanditka [31]

Answer:

  • 273 mL of 5%
  • 117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

7 0
3 years ago
A giraffe can run about 14 meters per second. Find it's speed in miles per hour
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(14 meter/sec) x (1 mile/1609.344 meter) x (3,600 sec/hour) =

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I need some quizzes on volume for 5th graded math
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Volume is length x width x height aka (L•W•H)
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You coach a basketball ball team of 12 players; 5 players must be on the floor at all times; Figuring that every player can play
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The function "choose k from n", nCk, is defined as
  nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial

a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
  12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.

b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
  (2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
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