Answer:
Step-by-step explanation:
<u>Identity</u>
<u>Simplifying the LHS (Left Hand Side)</u>
- (√24-√k)(√24+√k)
- (√24)² - (√k)²
- 24 - k
<u>Equating to the RHS</u>
- 24 - k = 5
- k = 24 - 5
- <u>k = 19</u>
Answer:
Fifth graders= 93 shirts
Sixth graders= 156 shirts
Teachers= 51 shirts
Step-by-step explanation:
31% of 300 is 93
52% of 300 is 156
The total number of shirts sold to fifth graders and sixth graders is:
156+93= 249
The number of shirts sold to teachers is:
300-249= 51
Answer:
6.31 mi
Step-by-step explanation:
The diagram below explains the solution better.
From the diagram,
C = starting point of the race.
A = end of the first part of the race.
B = end of the race.
Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.
Cosine rule states that:
where A = angle A = <A
Given that
b = 5.2 miles
c = 2.0 miles
<A = 115° (from the diagram)
Hence,
The straight-line distance between the starting point and the end of the race is 6.31 mi
Answer:
24 = questions on test
Step-by-step explanation:
Questions answered correctly = questions on test * percent answered correctly
We know that she answered 18 correctly and that 75% were answered correctly
Substitute this information into the equation
18 = questions on test *.75
Divide by .75 on each side
18/.75 = questions on test *.75/.75
24 = questions on test
Answer:
$408
Step-by-step explanation:
Find 3% of $13,600:
3 * 13,600 / 100 = $408