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Aleks04 [339]
2 years ago
11

How much of a(n) 80% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to obtain a mixture that is 50

% orange juice?
The amount of 80%orange juice drink is
Mathematics
1 answer:
Nuetrik [128]2 years ago
8 0

Step-by-step explanation:

how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!

--------percent ---------------- quantity

Orange juice 20 ---------------- 20 gal

Orange juice 80 ---------------- x gal

Mixture 50 ---------------- 20 + x gal

20 * 20 + 80 x = 50 ( 20 + x )

400 + 80 x = 1000 + 50 x

80 x + -50 x = 1000 - -400

30 x = 600

/ 30

x = 20

20 gal of 80 % Orange juice

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The correct choice is A
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A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
Sever21 [200]

Answer:

width = 1.8 in

length =   3.6 in

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Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

l +w+h=8\\l=2w

Plug it in the first equation

2w+w+h=8\\3w+h=8\\h=8-3w

volume the box is length times width times height

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To get maximum volume we take derivatived

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set the derivative =0 and solve for w

0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}

width = 1.8 in

length = 2w= 3.6 in

height =8-3w =8-3(1.8)= 2.6 in

6 0
3 years ago
Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the tot
Zarrin [17]
Two equations 

let c the calories in carrot
let h the  <span>calories in </span><span>hershey's kisses
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10 c + 7 h = 263             eq 2  


to solve the solution  we multiply eq  1 by 10 
we multiply <span>eq  2 by 4
</span>
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4 0
3 years ago
Which statement about a dilation with a scale factor of 3 is true?
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Given :   dilation with a scale factor of 3

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A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

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if scale factor > 1  then image get enlarged

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6 0
1 year ago
A line that includes the point ( - 4, - 1) has a slope of - 2. What is its equation in point-slope form?
Grace [21]

Point slope form says the line through (a,b) with slope m is

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Answer: y + 1 = -2(x + 4)



3 0
3 years ago
Read 2 more answers
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