Answer: Tyler mowed the lawn 4 times
Step-by-step explanation:
Let x = number of times that he does laundry
Let y = number of times that he mows the lawn
In one month, he does the laundry 6 more times than he mows the lawn. This means
x = 6 +y
Tyler's parents pay him $ 0.75 to do the laundry and $ 1.75 to mow the lawn. If his parents pay him $ 14.50 that month, it means that
0.75x + 1.75y = 14.5 - - - - - - -1
Substituting x = 6+y into equation 1, it becomes
0.75(6 + y) + 1.75y = 14.5
4.5 + 0.75y + 1.75y = 14.5
0.75y + 1.75y = 14.5 - 4.5
2.5y = 10
y = 10/2.5 = 4
x = 6 + y = 6 + 4
x = 10
Answer:
200 miles
Step-by-step explanation:
<u>Company A</u>
- Daily charge = $130
- Per mile = $0.20
- x miles per day = 130 + 0.2x
<u>Company B</u>
- Daily charge = $50
- Per mile = $0.60
- x miles per day = 50 + 0.6x
<u>Assume x miles that makes same amount for both options, then:</u>
- 130 + 0.2x = 50 + 0.6x
- 0.6x - 0.2x = 130 - 50
- 0.4x = 80
- x = 80/0.4
- x = 200 miles
Answer:
y = 6x + 9
Step-by-step explanation:
The equation of a line in slope- interceot form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 12y = - 1 into this form
Subtract 2x from both sides
12y = - 2x - 1 ( divide all terms by 12 )
y = -
x -
← in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 6
Note the line passes through (0, 9) on the y- axis ⇒ c = 9
y = 6x + 9 ← equation of perpendicular line
The correct answer is 96x^8 + 27 Hope this helps! ;D
Answer:
The probability that the age of a randomly selected CEO will be between 50 and 55 years old is 0.334.
Step-by-step explanation:
We have a normal distribution with mean=56 years and s.d.=4 years.
We have to calculate the probability that a randomly selected CEO have an age between 50 and 55.
We have to calculate the z-value for 50 and 55.
For x=50:

For x=55:

The probability of being between 50 and 55 years is equal to the difference between the probability of being under 55 years and the probability of being under 50 years:
