It will be D. because you have to add the like terms which is 13 + 5 which will be 18 and so 10p doesn't have no like terms it just stays the same so it will be 10p+18
Answer:
7.) 26
8.) 16
9.) 14
10.) 27
Step-by-step explanation:
(a) x = 4
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with.
A = 8x + 16x
A = 24x
But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
A = 24x - x^2
Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2
Finally, let's make this into a regular quadratic equation and find the roots.
80 = 24x - x^2
0 = 24x - x^2 - 80
-x^2 + 24x - 80 = 0
Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20.
Of those two possible solutions, only the x=4 value is reasonable for the desired objective.
(b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.
Answer:
70%
Step-by-step explanation:
The probability it rains on at least one of the days is:
P = P(Sat & not Sun) + P(Sun & not Sat) + P(Sat & Sun)
P = (0.40)(1−0.50) + (0.50)(1−0.40) + (0.40)(0.50)
P = 0.20 + 0.30 + 0.20
P = 0.70
Another way to look at it is 1 − the probability that it doesn't rain on either day.
P = 1 − P(not Sat & not Sun)
P = 1 − (1−0.40)(1−0.50)
P = 1 − 0.30
P = 0.70
There is a 70% probability that it will rain on at least one day.
Answer:
$32
Step-by-step explanation:
24 divided by 3= 8
8*4=32