The rates charged per hour by the first and second mechanics will be $105 and $50.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that two mechanics worked on a car, the first mechanic worked for 10 hours, and the second worked for 15 hours. together they charged a total of 1800.
Suppose x is the hourly rate for the first mechanic and y is the hourly rate of the second.
If the total money earned is 1800.
10x + 15 y = 1800 ---- (1)
If both have their individual rates the sum of the hourly rate is,
x+ y = 15 -------- (2)
Rearrange the equation,
x = 155- y
Substitute the value of x in equation 1 we get,
10x + 15 y = 1800
10(155-y) + 15y = 1800
1150 - 10y + 15y = 1800
5y = 250
y = 50
Substitute the value of y in equation 2 we get,
x = 155- y
x= 155 - 50
x = 105
Thus, the rates charged per hour by the first and second mechanics will be $105 and $50.
Learn more about the linear equation here:
Answer: Age of Lin is 12
Let X= age of Maya
(X/2)+4= age of Adrian
((X/2)+4)-7= age of Lin
X=30 age of Maya
19= age of Adrian
Age of Lin is
To check if this is correct
It is given that The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.
Also, in the last game he made 77 assists, therefore
assists away from the mean.
Thus, To get the number of standard deviation that 77 is from the mean, we get the z-score which is given as:
Substituting the given values, we get
Thus, there are 2.71 standard deviations above the mean.
Hence, option B is correct.
1. she can drive 99 km (kilometers) with 9 liters of fuel, 99/9 is 11
2. if she wants to find out how many kilometers she can drive with 12 liters of fuel, then just multiply 12x11 which is 132