First multiply 20 by .3 (30%)
This will give you a product of 6.
Subtract 6 from 20 (14)
$14 added to $20 is equal to $34
Ramon spent $34 on the pullovers
Answer:
In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers.
Step-by-step explanation:
I hope this helps you out.
I'll do the first problem to get you started.
Triangle SRT is a right triangle with the 90 degree angle located at angle RST. This is because segment SR is an altitude of the triangle. Altitudes of a triangle go from a vertex to the opposite side, and they are perpendicular to the opposite side.
The acute angles of right triangle SRT add up to 90 degrees. They are complementary angles.
(angle SRT) + (angle STR) = 90
(4x-8) + (6x+13) = 90 .... substitution
10x + 5 = 90
10x + 5 - 5 = 90 - 5 .... subtract 5 from both sides
10x = 85
10x/10 = 85/10 .... divide both sides by 10
x = 8.5
Therefore the answer is choice A) x = 8.5
Answer: this is rounded out, and an estimate but...
Step-by-step explanation:
It appears to be 14.03% I could be wrong, but this was calculated so maybe not.
Answer: 10:55
Step-by-step explanation:
Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.
The time the buses will be back at the depot simultaneously will be when:
N(a) * 25mins = N(b) * 35mins
Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.
Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc
Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc
This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.
So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is
at 08:00 + 2:55 = 10:55
