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disa [49]
2 years ago
7

two pairs of different sizes contain 34.5 liters of water altogether. when 0.68 liter of water is poured from the bigger pail in

to the smaller pail, the amount of water in the bigger pail is 9 times that in the smaller pail. how much water was there in each pail at first?
Mathematics
1 answer:
Vladimir79 [104]2 years ago
6 0
There will always be 34.5L of water in the cups because no water is removed.
Therefore the cups still total 34.5L after the water is poured from one to the other.
The smaller cup has some amount of water we'll call x.
The larger cup has nine times this, so 9x.
We know that x + 9x = 34.5.
We can simplify this to 10x = 34.5.
Divide each side by 10...x = 3.45.
So, we know that the smaller cup had 3.45L of water at the end.
Since 0.68L was poured in, it must've started with 2.77L. (3.45 minus 0.68)
We can also conclude that the larger pail had 31.73L .
(35 minus 2.77, or 9 times 3.45 plus 0.68)
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I used Excel to calculate the pH values and draw the graphs (see the Figure).

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This function has a y-intercept at (0,0).

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Simplify this expression: 3(x + 4.5) + 2(2.6x – 3) 1. Distribute the 3 and 4 through the parentheses: 3(x) + 3(4.5) + 2(2.6x) -
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2 years ago
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.
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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

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we have

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substitute the value of x

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

3 0
2 years ago
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