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Alex73 [517]
3 years ago
11

A recipe for fruit punch calls for 2 cups of peach juice for every 1 cups of cranberry juice, and you want to make 36 cups of fr

uit punch How many cups of each juice do you need to make a total of 36 cups of fruit punch?
Mathematics
2 answers:
pav-90 [236]3 years ago
5 0

Answer:

72

Step-by-step explanation:

Roman55 [17]3 years ago
4 0

Answer:

You need 72 cups of peach juice.

Step-by-step explanation:

You just needed to multiple 2 times 36.

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Business/multivariable calc question<br> help needed asap!!!!
UkoKoshka [18]

Answer:

There is a <u>   min   </u>  value of <u>   800   </u> located at (x,y) = <u>   (16, 12)   </u>

==========================================================

Explanation:

Let's solve the second equation for y

4x+3y = 100

3y = 100-4x

y = (100-4x)/3

We'll plug that into the first equation

f(x,y) = 2x^2+2y^2

g(x) = 2x^2+2((100-4x)/3)^2

g(x) = 2x^2+(2/9)*(100-4x)^2

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

This graphs a parabola that opens upward, due to the positive leading coefficient. This g(x) curve has its vertex point at the minimum.

Apply the derivative to help find the minimum

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

g ' (x) = 4x+(2/9)*(-800+32x)

------------------------

Set the derivative function equal to 0 and solve for x

g ' (x) = 0

4x+(2/9)*(-800+32x) = 0

4x+(2/9)*(-800)+(2/9)*(32x) = 0

4x-1600/9+(64/9)x = 0

9(4x-1600/9+(64/9)x) = 9*0

36x-1600+64x = 0

100x-1600 = 0

100x = 1600

x = 1600/100

x = 16

Use this x value to find y

y = (100-4x)/3

y = (100-4*16)/3

y = (100-64)/3

y = 36/3

y = 12

-----------------------

Therefore, (x,y) = (16,12) leads to the largest value of f(x,y) = 2x^2+2y^2

That smallest f(x,y) value is...

f(x,y) = 2x^2+2y^2

f(16,12) = 2*16^2+2*12^2

f(16,12) = 800

8 0
3 years ago
Which phrase matches the expression 2v
never [62]

Your answer is B. twice v.

This is because if you were to write out 2v as an expression with its operations, it would be 2 × v, and if you are multiplying v by 2, then the result will be twice the value of v.

I hope this helps!

6 0
3 years ago
Read 2 more answers
X varies directly as y, and x = 153 when y = 9. Find x when y = 13.
goblinko [34]
X = 153 = 17* 9, so when <span>y = 13, x= 21*13= 273

x= 17  18   19  20  21 
y=    9  10   11  12  13</span>
6 0
3 years ago
Homework Progress<br>107 / 285<br>A sequence has three terms.<br>Its term-to-term rule is<br>multiply by 6 and then add 13<br>a)
____ [38]

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

8 0
2 years ago
Raymond has two seven foot long boards, and wants to cut fifteen inch long peices from each; what is the greatest number of peic
anastassius [24]

7ft = 84in   84  ÷  15 =  5.6 pieces he can cut from each board.  Since .6 is not a whole piece measuring 15 inches long, he can only cut 5 pieces from each board.

So, 5 x 2 = 10

He would be able to cut 10 pieces measuring 15 inches long.

Hope this helps :)

7 0
3 years ago
Read 2 more answers
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