You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?
Answers
We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.
How long does each trip take?
Remember the relation:
Distance = Speed*Time.
Here the total distance of the trip is 55mi + 50mi = 105mi
And the total time is 5 hours and 15 minutes, remember that:
60 min = 1 hour
Then; 15 min = 0.25 hours.
So the total time is 5.25 hours, with that we conclude that the average speed is:
S = 105mi/5.25 h = 20 mi/h
The first trip is 55 miles long, then the time in which it is travelled is:
T = (55 mi)/(20 mi/h) = 2.75 hours
The second trip is 50 miles long, then:
T' = (50mi)/(20 mi/h) = 2.5 hours.
We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.
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Answers
z = 8(cos(90) + i sin(90)) ; now take the 1/3 power of it.
When we take this to a normal integer power of 3 we get:
z^3 = 8^3(cos(90*3) + i sin(90*3)) right? its the same for rational exponents as well.
z^(1/3) - 2(cos(90/3) + i sin(90/3))
90/3 = 30; the cos(30)=sqrt(3)/2 and the sin(30) = 1/22(sqrt(3)/2 + i 1/2) = sqrt(3) + 1i should be one of the cube roots.
(sqrt(3) + i)^2 = 2 +2sqrt(3) i
(sqrt(3)+i) (2 +2sqrt(3)i
2sqrt(3) + 6i +2i -2sqrt(3) = 8i
Answers
Answer:
Step-by-step explanation:
To find the percent of correct answers, we would divide the correct answers by total answers. And to find correct answers, we do questions multiplied by percentage. So we can just use the fact family to switch that around by doing questions correct divided by percentage.
Answer:
80
Step-by-step explanation:
b) (0,0)
c) (7,6)
d) (10,5)
Answers
Step 2: Add -2 to both sides.x+2+−2=y−3+−2x=y−5
Answer:
x=y−5
d) (10,5)
to check:
(5,10)
x=5
y=10
y-3=x+2
10-3=5+2
7=7
Answers
Richard's gross pay for the month was $ 4,512.5.
It is required to find the gross pay for the month.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.
salary = $2,450.00 per month
Last month salary= $2,500.00 in oil changes,
tune ups=$4,500.00
sold =$28,200.00 in parts.
According to given question we have,
2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X
2,450 + 75 + 225 + 1,762.5 = X
2,450 + 2,062.5 = X
4,512.5 = X
Therefore, Richard's gross pay for the month was $ 4,512.5.
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Answer:
21
Step-by-step explanation:
Answers
A. (2, 10)
B. (3, 15)
C. (4, 20)
D. (5, 15)
Answers
Answer: seriously the same question twice?
Step-by-step explanation:
Choice D like I said