Answer:
Step-by-step explanation:
<h3>Given</h3>
- Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
<h3>Solution</h3>
<u>Since the area is the product of the sides, let's try to factorize the given:</u>
- 2x^2 - 7x - 15=
- 2x^2 - 10x + 3x - 15 =
- 2x(x - 5) + 3(x - 5) =
- (x - 5)(2x + 3)
<u>So the dimensions are:</u>
Answer:

Step-by-step explanation:
We need to find the probability that the mechanic will service or more cars.
It's a simpler one given that we have the probabilities of servicing 4 or less cars.
P(at least 5 cars) is given by subtracting the probabilities of servicing both 3 and 4 cars.

Answer:
The taxi charges $2.5 for every mile.
Step-by-step explanation:
We are given the following in the question:
Let x be the initial taxicab fare and y be the additional amount for every mile traveled.
Cost for a two mile ride = $7.00
Thus, we can write the equation:

Cost of a nine mile ride = $24.50
Thus, we can write the equation,

Solving the two equation by elimination method, we have,

Thus, $2 is the initial fare and $2.5 is the cost for every mile traveled.
Answer:
The correct option is C
Step-by-step explanation:
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year
Let x = the attendance for last year
The projected attendance for this year would be last year's attendance + 25% of last year's attendance. This means
Projected attendance for this year
= x + 25/100 × x
= x + 0.25x = 1.25x
But attendance for this year actually decreased by 20 percent.
This means the actual attendance for this year would be
attendance for last year - 20% of attendance for last year. This means
Actual attendance for this year is
x - 20/100 × x
= x - 0.2x = 0.8x
percentage of the projected attendance that was the actual attendance would be
0.8x / 1.25x × 100 = 0.64 × 100
= 64%
The correct option is C