What is the descimal representation of seven hundredths
2 answers:
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Answer:
the amount of water the student have left in the bottle is 250 milliliters
Step-by-step explanation:
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Before the soccer practice, she drank 25 % of the water
25% of the water = 25% of 500
= 25% × 500
= × 500
At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;
= 25 × 5
=125
25% of the water = 125 milliliters
From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.
If she drank 125 milliliters of from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml
This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.
After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375
1/3 of 375 = × 375 =
= 125
After the practice she drank 125 milliliters of water from her 375 milliliters water.
The amount of water she have left after the practice will be;
375 milliliters - 125 milliliters = 250 milliliters
Therefore, the amount of water the student have left in the bottle is 250 milliliters
Answers:
- The lengths of sides PQ and RS are <u> 13 </u>
- The lengths of sides QR and SP are <u> </u><u>20 </u>
This is a 13 by 20 rectangle.
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Explanation:
Refer to the drawing below.
Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.
We're told that RS = SP - 7 which is the same as saying RS = x-7
We also know that PQ = x-7 as well because PQ is opposite side RS.
In short, we have these four sides in terms of x
- PQ = x-7
- QR = x
- RS = x-7
- SP = x
as shown in the drawing. The four sides add up to the perimeter of 66.
PQ+QR+RS+SP = perimeter
PQ+QR+RS+SP = 66
(x-7)+x+(x-7)+x = 66
4x-14 = 66
4x = 66+14
4x = 80
x = 80/4
x = 20
Use this x value to find the unknown side lengths.
- PQ = x-7 = 20-7 = 13
- QR = x = 20
- RS = x-7 = 20-7 = 13
- SP = x = 20
In short, this is a 13 by 20 rectangle.
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Check:
perimeter = side1+side2+side3+side4
perimeter = PQ+QR+RS+SP
perimeter = 13+20+13+20
perimeter = 33+33
perimeter = 66
The answer is confirmed.
