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Brilliant_brown [7]
2 years ago
8

each month for 7 months, Samuel mows 3 lawns. how many more laws does he need to mow before he has mowed 29 lawns

Mathematics
1 answer:
Kitty [74]2 years ago
5 0
Samuel started out with 21 mowed lawns. 7(months) x 3(lawns) = 21
If he mows 3 lawns per month, then he would have to mow lawns for another 3 months. 3 x 3 = 9. 
21 + 9 = 30
Although this is one mowed lawn over the objective, any less would not reach 29. 

I'm not really sure what the question is asking, so here's two answers:
He would have to mow lawns for another 3 months in order to mow 29 lawns.

Or, he would have to mow 8 more lawns.
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2 years ago
Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
2 years ago
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories h
Over [174]

Answer:

Step-by-step explanation:

Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.

Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the  raw score is below the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}

Given that: μ = 350 calories, σ = 20 calories, x > 375

z=\frac{x-\mu}{\sigma}\\\\z=\frac{375-350}{20}=1.25

From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories

From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)

= 1 - 0.8944 = 0.1056 = 10.56%

3 0
2 years ago
The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
deff fn [24]

Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

6 0
2 years ago
If it took Mark 45 minutes to get to work and 35 minutes to get home, how long did he spend travelling to and from work?
oksano4ka [1.4K]

Mark spent a total of 80 minutes or 1 hour and 20 minutes traveling to and from work.

45 minutes + 35 minutes = 80 minutes

There are 60 minutes per hour, so their would 1 hour and 20 minutes.

4 0
2 years ago
Read 2 more answers
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