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Vesnalui [34]
3 years ago
9

How many L of an 85% alcohol solution must be mixed with 6 L of a 55% alcohol solution to make a 65% solution?

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

3 Liters of the 85% Solution

Step-by-step explanation:

You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.

\frac{85}{x}+\frac{55}{6}=\frac{65}{x+6}

Then we multiply the top of the buckets with the bottom:

85x+330=65x+390

Now we simplify and solve

20x=60

x=3

You need 3 liters of the 85% solution!

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Amy makes an initial investment of $5000. The investment loses 13.5% each year. Find the amount Amy has at the end of 8 years.
Pani-rosa [81]

Answer:

\$1,567.11

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

y is the value of the investment

x is the number of years

a is the initial value

r is the rate of change

we have

a=\$5,000\\r=13.5\%=13.5/100=0.135

substitute

y=5,000(1-0.135)^x

y=5,000(0.865)^x

Find the amount Amy has at the end of 8 years

For x=8 years

substitute the value of x

y=5,000(0.865)^8=\$1,567.11

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4 years ago
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son4ous [18]

Answer:

there are no solutions

Step-by-step explanation:

3 0
3 years ago
2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form
eduard

Answer:

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Step-by-step explanation:

= 17/6 ÷ 5/3

= 17 x 3

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= 1 7/10

7 0
3 years ago
A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard strawberries sells for $7, and a box o
kow [346]

Answer:

70 standard boxes, 40 deluxe boxes

Step-by-step explanation:

standard: x

deluxe: y

x + y = 110

7x + 11y = 930

Multiply the first equation by 7 and subtract.

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-(7x + 11y = 930)

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