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stiks02 [169]
3 years ago
12

Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Pow

er washing a two-story home takes 90 minutes and uses 300 gallons of water. Lee works no more than 40 hours each week, and he uses a maximum of 5,000 gallons of water per week. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses.
What are the constraints for the problem?
Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

5590

Step-by-step explanation:

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Solve for x: 3x − 24 = 81
Ludmilka [50]
If you would like to solve for x: 3x - 24 = 81, you can do this using the following steps:

<span>3x - 24 = 81
</span>3x = 81 + 24
3x = 105
x = 105 / 3
x = 35

The correct result would be 35.
4 0
3 years ago
Read 2 more answers
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same
masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=\dfrac{x-\mu}{\sigma}

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=\dfrac{72-64}{2.7}=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=\dfrac{70-69.3}{2.8}=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0
3 years ago
An animal gained 5 kilograms steadily over 20 years. What is the unit rate of kilograms per​ year?
balandron [24]

The unit rate is 0.25 kilograms per year.

Step-by-step explanation:

Lets define unit rate first

Unit rate is the change in quantity per unit time.

Given

Weight = w = 5 kg

Time = t  = 20 years

So,

Unit\ rate = \frac{weight}{time}\\=\frac{w}{t}\\= \frac{5}{20}\\= 0.25

Hence,

The unit rate is 0.25 kilograms per year.

Keywords: Unit rate, rate of change

Learn more about unit rate at:

  • brainly.com/question/689294
  • brainly.com/question/6788996

#LearnwithBrainly

5 0
2 years ago
What is the meaning of the point with an x coordinate of 3?
snow_tiger [21]
The answer is D. Since the x line is seconds and y is feet traveled it would mean that the train travels 180 feet in 3 seconds
4 0
2 years ago
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Use synthetic division to find the remainder. When 3x^ 2 - 2x - 4 is divided by x - 3.
OlgaM077 [116]
ANSWER

a.)17

EXPLANATION

The given function is

3 {x}^{2} - 2x - 4

We want to find the remainnder when this function is divided by x-3 using synthetic division.

We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.

The remainnder is 17.


The correct answer is A.

7 0
3 years ago
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