Answer:
Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.
Step-by-step explanation:
Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.
Given that he spent 5 hours in driving.
And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.
Given that his average rate in the morning was twice his average rate in the afternoon.
(150/x) = 2 * 50/(5-x)
150/x = 100/(5-x)
Cross multiplying terms, we get:-
150*(5-x) = 100*x
750 - 150x = 100x
750 = 100x + 150x
750 = 250x
x = 750/250 = 3.
It means he spent 3 hours in the morning and 2 hours in the afternoon.
So morning's average rate = 150/3 = 50 mph.
and afternoon's average rate = 50/(5-3) = 25 mph.
1.50n - 50 = p
Explanation: 1.50n = profits from selling cupcakes. Subtract from cost to make cupcakes (50) to find profit.
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
Answer:
D
Step-by-step explanation:
Sorry I'm late
Answer:
$1349
Step-by-step explanation:
Given data
Principal= $1000
Rate= 3%
Time= 10years
Applying the formula
A=Pe^rt
where e is the mathematical constant approximated as 2.7183
substitute
A=1000*2.7183^0.03*10
A=1000*2.7183^0.3
A=1000*1.349
A=1349
Hence the final amount after 10 years is
$1349
