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Elan Coil [88]
3 years ago
12

A beverage manufacturer is mixing up a 30% tomato juice blend. The manufacturer already

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

1110 liters

Step-by-step explanation:

Let x = amount of 26% juice.

Amount of tomato juice:

740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice

x liters of 26% juice contains 0.26x liters of tomato juice

The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.

266.4 + 0.26x = 0.3(x + 740)

266.4 + 0.26x = 0.3x + 222

-0.04x = -44.4

x = 1110

Answer: 1110 liters

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Step-by-step explanation:

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Hope this helps :)


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3 years ago
SOLVE EACH SYSTEM USING SUBSTITUTION
NNADVOKAT [17]
1. since the equations equal each other 
2x+19=x+7
-x        -x
x+19=7
  -19  -19
x= -12
sub into y= x+7
y= -12+7
y= -5

2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0

2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
       -39/2   -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10

3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
  -5  -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17

4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
     -9  -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9

3 0
3 years ago
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