Mathematics, 28.12.2019 21:31 graymonky12

Stacey is making a trail mix for the school field trip. the recipe shows the amount of each ingredient needed to make 6 bags. if stacey follows the recipe, which statement is true?

Stacey is making a trail mix for the school field trip. the recipe shows the amount of each ingredie

Answers: 1

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Answer from: jholland18

Option A: For 18 bags of trail mix , She needs 4.5 cups of peanuts.

Step-by-step explanation:

Given :

Amount of ingredients needed to make 6 bags of trail mix.

3 cups of granola .

1 cup of raisins .

1.5 cups of peanuts .

0.5 cup of cranberries

0.75 cup of chocolate chips .

Solution :

Option A : For 18 bags of trail mix , She needs 4.5 cups of peanuts.

Since we are given that for 6 bags we require cups of peanuts = 1.5

For 1 bag we require cups of peanuts = $\frac{1.5}{6}$

For 18 bag we require cups of peanuts = $\frac{1.5}{6}\times18$

= 4.5

Hence Option A is correct .

Option B : The ratio of granola to cranberries is 1.5 to 1

Since we are given that 3 cups of granola and 0.5 cup of cranberries

So, ratio = 3:0.5=6:1

Hence Option B is wrong.

Option C : For 24 bags of trail mix , She needs 2.5 cups of chocolate chips.

Since we are given that for 6 bags we require cups of chocolate chips= 0.75.

For 1 bag we require cups of chocolate chips = $\frac{0.75}{6}$

For 24 bag we require cups of chocolate chips = $\frac{0.75}{6}\times24$

Hence Option C is wrong .

Option D : For 18 bags of trail mix , She needs 10 cups of cranberries.

Since we are given that for 6 bags we require cups of cranberries. = 0.5

For 1 bag we require cups of cranberries. = $\frac{0.5}{6}$

For 18 bag we require cups of cranberries. = $\frac{0.5}{6}\times18$

= 1.5

Hence Option D is wrong .

Thus If Stacey follows the recipe Option A is true.

Answer from: Quest

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

Answer from: Quest

none of the above.

for one of the equations to be used in the process, there has to be a $2x^2$ term in the equation since $2x$ squared is $2x^2$ .

since there is only a $x^2$ term in the first equation, we cannot derive a $2x+4$ from completing the square.

solving with completing the square

$x^2=-4x+3$

$x^2+4x=3$

$x^2+4x+4=7$

$(x+2)^2=7$

$x+2=+-\sqrt{7}$

$x=2+-\sqrt{7}$

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