3 years ago

XY=4x+7 and YZ=8x-1, Find XY

Mathematics

1 answer:

laiz [17]3 years ago

5 0

Answer:

XZ = 12x + 6

Step-by-step explanation:

XZ = XY + YZ

XZ = 4x + 7 + 8x - 1

XZ = 12x + 6

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Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

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Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

$0.05+0.35x = 0.075 + 0.15x$

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The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

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