Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:
Both fractions are equal, so:
Applying cross multiplication:
The value of x is 3.
Since the line of refrection is a horizontal line, the x-coordinate of the image will be the same as the x-coordinate of the point P(-1, -1). P(-1, -1) is one unit above the line y = -2, hence the image will be one unit below the line y = -2. Therefore the coordinate of the image is (-1, -3)
Answer:
90 customers
Step-by-step explanation:
Total shift time = 2 hours
1 hours = 60 minutes
Total shift time minutes = 2*60 minutes = 120 minutes
Average Time taken to serve 1 customer = 1 minute 20 seconds
lets convert 1 minute 20 seconds in fraction
60 seconds = 1 minute
20 seconds = 20/60 minutes = 1/3 minutes
Thus,
Average Time taken to serve 1 customer = 1 minute + 1/3 minutes = 4/3 minutes
Lets assume she served x customer in her 2 hour shift
total time taken to serve x customer =x*Average Time taken to serve 1 customer = 4x/3 minutes
Given that she the customers for her shift time which is 120 minutes
4x/3 minutes = 120 minutes
x = 120*3/4 = 90
Thus,
Kimiko served 90 customers and this is the number of customer which came through the drive thru during those 2 hours.
Answer:
The length of the semicircle arc is 6π
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 12
π = pi
c = π * d
we replace with the known values
c = π * 12
c = 12π
The length of the circumference is 12π
N
ow we divide the circumference by 2 and we will obtain the length of the arc of the semicircle
12π / 2 = 6π
The length of the semicircle arc is 6π
