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posledela
2 years ago
12

bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. bob has 6 cups of concentrate.

how much orange juice can he make? please explain​
Mathematics
2 answers:
zhenek [66]2 years ago
7 0

Answer:

10.5

Step-by-step explanation:

First, divide 6 by 2. You get 3, right? So now you know that you multiply by three to get the answer. 3.5 * 3 will equal 10.5

zhenek [66]2 years ago
3 0

If 2 cups of orange juice concentrate and 3.5 cups of water are needed to make a glass of orange juice, then 6 cups of orange juice concentrate will make 3 cups. This is because 6/2 is 3.

However, this answer is only correct if you also have the necessary amount of water. (2 x 3 is 6, so you will need to multiply 3.5 x 3 to determine how much water you'll need: 3.5 x 3 = 10.5).

Thus, given that you have the necessary amount of water, you will be able to make 3 cups of orange juice with 6 cups of concentrate.

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Answer:

i) The maximum height  of the ball 'x' = 1.5 seconds

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 Step-by-step explanation:

<u>Step(i):</u>-

Given h(x) = - 16 x² + 48 x +6   ...(i)

Differentiating equation (i) with respective to 'x'

h ^{l} (x) = - 16 (2 x) +48 (1)   ...(ii)

Equating Zero

- 3 2 x + 4 8 = 0

- 32 x = - 48

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<u><em>step(ii)</em></u>:-

The maximum height of the ball 'x' = 1.5

Again Differentiating equation (ii) with respective to 'x'

h ^{ll} (x) = - 16 (2 x) < 0

The maximum height 'x' = 1.5

h(x) = - 16 x² + 48 x +6  

h(1.5) = - 16 (1.5)² +4 8 (1.5) +6

         =   42

The maximum height at x = 1.5 is  = 42

<u><em>Final answer</em></u>:-

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

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