Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude?

One landscaper charges $20 for 5 hours of work.
One landscaper’s hourly rate is $15 lower than the other landscaper’s.
Both landscapers charge the same hourly rate and the same fee per job.
Both landscapers charge the same hourly rate, but not the same fee per job.

Answers

Answer 1

Answer:

What Casey can conclude is D. Both landscapers charge the same hourly rate, but not the same fee per job.

What Casey can conclude based on the given scenario

Both landscapers will charge the same hourly rate because we were told they each charges an hourly rate including a fee for each job.

Their fees per job cannot be the same because Casey substituted an expression for one variable while he solved for the other.

Therefore the correct option is D.

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Answer 2

Answer: Answer:Both landscapers charge the same hourly rate, but not the same fee per job.

This is, the two equations are parallel and one choice is always more expensive, in the same amount, than the other, at any number of hours.

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A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score of 1.5? A. 21 miles B. 24 miles C. 36 miles D. 41 miles

Answers

The z-score tells you how many standard deviations from the mean.

1.5 * 3.6 = 5.4 miles

So anything within 5.4 miles of the average (29).

The range would be:
29 - 5.4 = 23.6
to:
29 + 5.4 = 34.4

23.6 ≤ x ≤ 34.4

Answer:
B) 24 miles

The mileage is within a z-score of 1.5 is (b) 24 miles

How to determine the mileage?

From the complete question, we have the following parameters:

Standard deviation = 3.6

Mean = 18.6

z = 1.5

The z-score is calculated using:

$z= (x - \mu)/(\sigma)$

So, we have:

$1.5= (x - \mu)/(\sigma)$

Cross multiply

$x - \mu= 1.5\sigma$

Make x the subject

$x = 1.5\sigma + \mu$

Substitute known values

$x = 1.5 * 3.6 + 18.6$

Evaluate

x = 24

Hence, the mileage is within a z-score of 1.5 is (b) 24 miles

Answers

Answer:

55 minutes

Step-by-step explanation:

The width (W) of a rectangular garden is 7 feet longer than the length (L). The area of the garden is 30 square feet

Answers

Well you have to remember that area is length times width. So 4.285714286 Or since most gardens are shaped like a square. You would have to 7×7+7×(number above) to get the answer. Hope that helps

a model rocket is launched into the air from ground level. the height, in feet, in feet, is modeled by p(x)=16x^2+32x, where x is the number of elapsed seconds. what is the total number of seconds the model rocket will be in the air?

Answers

Since you are given the function for the height of a rocket, we are to look for the value of X that gives us a value of p(x) = 0, which means that the model rocket has landed back onto the ground. One easy way to do this is by table method, meaning we substitute values of x to see if we can obtain the needed value of P(x). We should start from 1, since using 0 as our first value means that the rocket has not even launched up yet. Let us do this below:

x | p(x) = -16x^2+32x
--------------------------
1 | p(1) = -16(1)^2 + 32(1) = 16
2 | p(2) = -16(2)^2 + 32(2) = 0

Having obtained the desired result at x = 2, this means that the model rocket has been in the air for 2 seconds.

Final answer:

The model rocket is in the air for 0 seconds according to the given equation, which implies an immediate impact upon launch.

Explanation:

In this mathematical scenario, the model rocket's height p(x) over time x (elapsed seconds) is given by the quadratic equation p(x) = 16x^2 + 32x. The total amount of time the rocket is in the air will be the point when the rocket returns to ground level. This occurs when p(x) = 0, which represents the rocket's height being zero feet above the ground.

We can find out when this occurs by solving the quadratic equation for x. We can rearrange the quadratic equation to 16x^2 + 32x = 0. Factoring out 16x gives us 16x(x + 2) = 0. Solving for x will give two potential solutions: x = 0 (the initial launch point) and x = -2. However, since time cannot be negative in this context, we discard the -2 and our answer is x=0 s, the total time the model rocket will be in the air after being launched is 0 seconds.

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Help please i dont understand

Answers

Answer:

13 cm

Step-by-step explanation:

The triangle perimeter size does not change because all the components rotate and reflect together.

Explain how you can tell 31\33 is in simplest form

Answers

because the factors of 33 are 11 and 3
31 doesn't have a factor of 11 or 3 so it is simplest form

also, 31 is prime so it can't be factored

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