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Ilia_Sergeevich [38]

3 years ago

10

Peter earns $1.50 for every cup of lemonade he sells. Write an equation that shows the relationship between the number of cups s

old x and the earnings y.

1 answer:

Tresset [83]3 years ago

4 0

1.50x=y is the equation. He gets 1.50 for every cup so it's 1.50 times the amount of cups he sells

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Class 324 went apple picking and collected 64

garri49 [273]

Answer:

8 bags of apples

Step-by-step explanation:

first you do 64 apples divided by 8 bags

then you would get the answer of 8 bags of apples given to 8 different teachers

4 0

3 years ago

In a random sample of 74 women at a company, the mean salary is $39,902 with a standard deviation of $3270 in a random sample of

ValentinkaMS [17]

The correct answer is the first choice, ($1818.30, $5077.70.)

To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Next, we identify
$\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677$

Next we find
$(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448$

Next we find
$\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}
\\
\\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}}
\\
\\=831.479$

Next, we multiply this value by z:
1.96(831.479) = 1629.70

The confidence interval is given by
$3448\pm1629.70
\\
\\=(3448-1629.70, 3448+1629.70)
\\
\\=(1818.30, 5077.70)$

5 0

3 years ago

As the marketing designer for Burger King, you are given a 4 in by 6 in logo and have been told to create an advertisement with

vladimir1956 [14]

If you enlarge it 6 times, then you get 24in that become 2ft and 36in that become 3ft. If the formula for calculating the area is a times b, then you have to do 2ft x 3ft and you get 6ft2

So the answer is <span>A. 6 ft2</span>

3 0

3 years ago

You and your friend are going to sell popcorn. You have determined that it will cost you $1.50 to make every popcorn and an addi

Kipish [7]

Answer:

<em>3.75x = 450 + 1.50x</em>

<em>They should sell 200 bags of popcorn to break even</em>

Step-by-step explanation:

<u>Business Modeling</u>

When modeling the operation of a business, there are some magnitudes that should be managed to properly control the profits of the business. Those magnitudes are Costs, Revenue, and Profits.

The profit is the difference between the costs and the revenue as follows:

P(x) = R(x) - C(x)

Where x is the number of units produced and sold.

The break-even level is the value of x that produces zero profits, i.e.,

R(x) = C(x)

The costs associated to sell popcorn consist of a fixed amount of $450 plus a variable cost of $1.50 for every popcorn. Thus the total cost function is:

C(x) = 450 + 1.50x

The income or revenue is the selling price times the number of popcorns:

R(x) = 3.75x

The break-even level can be calculated by solving the equation:

3.75x = 450 + 1.50x

Solving the equation:

3.75x - 1.50x = 450

2.25x = 450

x = 450/2.25

x = 200

They should sell 200 bags of popcorn to break even

7 0

3 years ago

On a trip, you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will

VladimirAG [237]

Use proportions to solve this. Set up the ratios with dollars on the top and pounds on the bottom and then cross-multiply to solve for x. Like this: $\frac{d}{p}: \frac{800}{560}= \frac{300}{x}$ . Cross multiplying gives us 800x=168,000. Divide by 800 to get that x = 210. So $300 equals 210 pounds.

7 0

3 years ago