Hello there,
Alright so first we should write down what do we already know based on the problem:
- 1st day she practiced 3/8 hours
- 2nd day she practiced 1 1/4 hours
- 3rd day she practiced 2 1/8 hours
- she increased the time each day by the same amount
Now in order to solve the problem we first need to figure out by how much did she increase her practice time...
we would need to subtract day 2 practice from day 1
- 1 1/4 as an improper fraction is 5/4
- 5/4 written with a common denominator would be 10/8
- 10/8 - 3/8 = 7/8
So the common difference between the two days was 7/8 hours, that how much she increased from day 1 to day 2. Now in order to make sure that the difference among the tree is the same we would need to subtract day 3 by day 2...
- 2 1/8 as an improper fraction is 17/8
- 17/8 - 10/8 is 7/8
So yes the difference is 7/8 hours increased each day. Now we need find out how much she practiced on the FIFTH day.
- we add 7/8 with 7/8, since we last stopped at day 3
- we add 14/8 to 17/8 which would be 31/8 hours
- change 31/8 into a mixed number would be 3 7/8 hours
On the fifth day Kendra would practice for 3 7/8 hours.
Hope I helped,
Amna
Original volume = 2.5 million liters.
After evaporation, the remaining volume is 2 million liters, therefore
Evaporated volume = 2.5 - 2 = 0.5 million liters.
Percent of water evaporated = 100*(0.5/2.5) = 20%
Answer: 20%
This is a quick sketch of the problem
the answer is about 235.31 ft
you have to use this equation to get the length of the other side, which is roughly 213 ft:
then it's just Pythagorean Theorem to get the end result:
Answer:
Equation;
(3/4)x = 2/3
Solving;
x = 8/9
she would need 8/9 of her sugar to make a full batch.
Step-by-step explanation:
Let x represent the amount of sugar that would be needed to make the whole batch.
Given that;
Pia used 2/3 of her sugar to make 3/4 of a batch of cookies.
Since 2/3 of her sugar is needed to make 3/4 of a batch of cookies, then;
(3/4)x = 2/3
Solving the equation, dividing both sides by 3/4;
(3/4)x ÷ 3/4 = 2/3 ÷ 3/4
x = 2/3 × 4/3
x = 8/9
Therefore she would need 8/9 of her sugar to make a full batch.
Answer:
A. 1/4,389
B. 728/4,389
Step-by-step explanation:
Total number of flanges = 22
Defective flanges = 6
Non-defective flanges = 16
A. The probability that all in the sample are defective is given by:
The probability is 1/4,389.
B. The probability that none in the sample are defective is given by:
The probability is 728/4,389.