Answer: the group rented 11 Person tubes and 4 cooler tubes
Step-by-step explanation:
There are two types of tubes, Person tube and cooler tube.
Let P represent number of Person tubes that the group rented.
Let C represent number of Cooler tubes that the group rented.
The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information
P + C = 15 - - - - - - - 1
20P + 12.5C = 270 - - - -- - - 2
Substituting P = 15 - C into equation 2,
It becomes
20(15-C) + 12.5C = 270
300 - 20C + 12.5C = 270
- 20C + 12.5C = 270 -300
7.5C = - 30
C = 30/7.5 = 4
P = 15 - C
P = 15 - 4 = 11
Answer:
0.025
Step-by-step explanation:
There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
Option A) 14/250 = N/350 is correct.
Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.
<h3>What is proportionality?</h3>
proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.
Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350
Thus, the required proportion is given as 14/250=N/350.
Learn more about proportionality here:
brainly.com/question/8598338
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Answer:
34-5x
Step-by-step explanation:
(12+2x-9)-(-15+7x-16)
(3+2x)-(-31+7x)
3+2x+31-7x
34-5x
