Answer:
19 keyboards
Step-by-step explanation:
Let d = thumb drives; and k = computer keyboards
Total number of sales of thumb drives and keyboards is 50
50 = d + k
Rearranged:
d = 50 - k
Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675
1675 = 24d + 49k
Sub in d = 50 - k
1675 = 24(50 - k) + 49k
1675 = 1200 - 24k + 49k
475 = 25k
k = 475/25
k = 19
(To check, d = 50 - 19 = 31)
Answer:
<u>Sam would take to drive 500 miles in 4 hours and 34 minutes at the same speed.</u>
Step-by-step explanation:
It is easy to say that if Sam continues driving at the same speed it will take a little longer to drive the 500 miles.
If Sam drives 320 miles in 150 minutes (2.5 hours)
How long will it take to drive 500 miles at the same speed?
An equation called "rule of 3" can be applied:
320 miles = 150 minutes
500 miles = X?
X is cleared from the equation
X = (500 miles * 150 minutes) / 320 miles
X = 234.37 minutes
Now we spend 234.37 minutes at hours with the same rule of 3
1 hour = 60 minutes
X = 234.37 minutes
Clearing X would give
X = (1 hour * 234.37 minutes) / 60 minutes
X = 4 hours and 34 minutes
Sam would take 500 miles in 4 hours and 34 minutes
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
