Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
x ≈ 59°
Work is on piece of paper, yet I don't have a phone. I'm certain that is the answer.
Answer:
Give brainliest please! The answer is 53.2 mph
Step-by-step explanation:
Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.
1:40 p.m. is 13:40.
Thus, they traveled for
13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes
that is hours.
Use formula:
where
D = distance
r = rate
t = time.
In your case,
D = 239.4 miles
t = 4.5 hours
8 is a whole number, so this will be the whole number part of our mixed number.
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

Simplify by dividing 25 to the numerator and denominator.


So our fraction is

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

Simplify by dividing 5 to the numerator and denominator.


So our fraction is


To convert this to a decimal, just divide 5 / 8