Orly uses 2 cups of raisins for every 9 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins?

Answers

Answer 1

Answer: so ratio si 2 to 9 or 2:9
so 12 cups of rasins to x cups of trail mix
ratio is 12 to x or 12:x

it has to be the same ratio so makek fractions and
2/9=12/x
solve for x
mulitply both sides by x
2x/9=12
multiply both sides by 9
2x=108
divide by 2
x=54
answer is 54 cups of trail mix

Answer 2

Answer: First, I know that for 2 cups of raisins for every 9 cups of trail mix and I am going to divide, 9÷2 and got 4.5 so for every cup of raisins, I need to multiply it by 4.5 to get how much trail mix I had in total so I need to multiply 12× 4.5. to get my answer so 12×4.5=54 so I had 54 cups of trail mix.

I hope this helped

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Solve for the indicated variable.

s = p + g/h for g.

Answers

Answer:

g = h(s-p)

Step-by-step explanation:

find the variable of interest — It is in the numerator of one of two terms on the right side of the equation
subtract every term on that side not containing the variable — subtract p to get s-p = g/h
multiply by the inverse of the coefficient of the variable of interest — the coefficient is 1/h, so we multiply by h to get ... h(s-p) = g
rearrange to the desired form. Here, it is probably OK to leave the parentheses and to simply put g on the left

g = h(s -p)

Answer:

(s-p)*h =g

Step-by-step explanation:

s = p + g/h

Subtract p from each side

s-p = p=p + g/h

s-p = g/h

Multiply by h

(s-p) *h =g/h *h

(s-p)*h =g

The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?

Answers

Answer:

The equation for the cost in dollars of producing computer chips

The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.

Step-by-step explanation:

Last one

Please show your work

Answers

Mean = (Sum of values)/(Number of values)

$Mean\n \n =\frac { 55+62+61+54+68+72+59+61+70 }{ 9 } \n \n =\frac { 562 }{ 9 } \n \n =62.4\quad mph\quad (1\quad d.p)\n \n$

Range = Highest Value - Lowest Value

$Range\n \n =72-54\n \n =18\n \n$

How many solutions does this system of equations have???
2x+3y=6
y=-2/3x-1

Answers

$2x+3y=6\n \n 3y=-2x+6\n \n y=-(-2x)/(3)+2\n$

System has no solution.

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if parallelogram ABCD is proven to be a rectangle?