Mathematics, 14.07.2020 23:01 Ain805

The math team sells crunchy and fruity trail mixes to raise money. the ratio of fruit to nuts in each mix and the price they charge for an 8-oz (or 1/2-cup) bag of each mix are given in the table below. [hint: the ratio of fruit to nuts in the crunchy trail mix is 1: 3. so, 1/4 of each bag is fruit and 3/4 of each bag is nuts.] ratio of fruit to nuts price of an 8-oz (or 1/2 cup) bag crunchy trail mix 1: 3 $2.50 fruity trail mix 5: 3 $3.50 they have 30 cups of fruit and 50 cups of nuts to use in their trail mixes. so, they need to know how many bags of each type of mix they should they make. they let c represent the number of bags of crunchy trail mix and f represent the number of bags of fruity trail mix. which set of inequalities below represents the conditions? a. 1c + 3 f ≤ 30 5c + 3 f ≤ 50 c ≥ 0, f ≥ 0 b. 1c + 5 f ≤ 60 3c + 3 f ≤ 100 c ≥ 0, f ≥ 0 c. 0.25c + 0.625f ≤ 60 0.75c + 0.375f ≤ 100 c ≥ 0, f ≥ 0 d. 0.25c + 0.625f ≤ 30 0.75c + 0.375f ≤ 50 c ≥ 0, f ≥ 0

Answers: 2

Show answers

Answers

Answer from: skyyman

(D) 0.25c + 0.625f ≤ 30 0.75c + 0.375f ≤ 50 c ≥ 0, f ≥ 0

Step-by-step explanation:

The ratio of fruit to nuts in the crunchy trail mix is 1: 3.

This means each crunchy trail mix requires $\dfrac{1}{4}=0.25$ bags of fruits and $\dfrac{3}{4}=0.75$ bags of nuts.

The ratio of fruit to nuts in the fruity trail mix is 5: 3.

This means each fruity trail mix requires $\dfrac{5}{8}=0.625$ bags of fruits and $\dfrac{3}{8}=0.375$ bags of nuts.

Let the number of bags of crunchy trail mix=c Let the number of bags of fruity trail mix=f

Since the number of bags of mix cannot be negative, we have the constraints:

$c\geq 0, f \geq 0$

They have 30 cups of fruit and 50 cups of nuts to use in their trail mixes.

Therefore:

Total number of cups of fruit that can be used, 0.25c+0.625f ≤ 30

Total number of cups of nuts that can be used, 0.75c+0.375f ≤ 50

Therefore, the set of inequalities which represents the given conditions are:

0.25c + 0.625f ≤ 30 0.75c + 0.375f ≤ 50 c ≥ 0, f ≥ 0

The correct option is D.

Answer from: Quest

ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga

step-by-step explanation:

Answer from: Quest

no he doesnt because "-16' is negatiive

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:30

If you could answer these your a life saver

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Asequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. if f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point) f(1) = 2 and f(n) = f(n − 1) + 4; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1 f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2; n > 1 i will award !

Answers: 1

Answer

Mathematics, 21.06.2019 21:50

Which rule describes the composition of transformations that maps ajkl to aj"k"l"? ro. 900 o to, -2(x, y) to, -20 ro, 900(x, y) ro, 9000 t-2. o(x,y) t-2, 00 ro, 900(x, y)

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

Awoman has 14 different shirts: 10 white shirts and 4 red shirts. if she randomly chooses 2 shirts to take with her on vacation, then what is the probability that she will choose two white shirts? show your answer in fraction and percent, round to the nearest whole percent.

Answers: 1

Answer

You know the right answer?

The math team sells crunchy and fruity trail mixes to raise money. the ratio of fruit to nuts in eac...

Questions

Mathematics, 20.10.2020 02:01

What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 13 is in th...