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3 years ago

13

A recipe for fruit punch calls for 8 cups of Sprite for every 12 cups of fruit juice. Which equation can be used to find x, the

percent of fruit juice in the recipe?

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

It would be 1/3

Step-by-step explanation:

You might be interested in

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

Write a definition of your choice. Then write the definition as a biconditional.

igomit [66]

Answer:

Biconditional statements do not use the key words 'if' and 'then. ' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if. ' For example, the statement will take this form: (hypothesis) if and only if (conclusion).

Step-by-step explanation:

8 0

3 years ago

Determine whether the triangles are congruent. Explain your reasoning .

Nookie1986 [14]

Answer:

Step-by-step explanation:

First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle

in ΔDEF we have 180 -68 -81 = 31°

in ΔABC we have 180 -68 -33 = 79°

the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.

6 0

2 years ago

A house and a lot are appraised at 212,400. If the value of the house is five times the value of the lot, how much Is the house

seropon [69]

If the lot is 5 times more than there are 6 amounts that are the same that add up to be 212,400. so 212,400/6 is 35,400. since the house is 5 times more than the lot we take 35,400 and multiply it by 5 which is 177,000 the value of the house. We can check our answer by adding 35,400 to our 177,000 and we get 212400

7 0

2 years ago

Read 2 more answers

What does 1(1/10) mean

Masteriza [31]

It means that there is one whole and another whole that is split into 10 pieces and one part(tenth) of that is filled in. That is what it means.

5 0

2 years ago