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gayaneshka [121]

3 years ago

6

A photographer offers a photo shoot for a $85 flat fee. Customers may purchase prints for $5 per sheet. How many sheets can a cu

stomer purchase and spend at most $150? What linear inequality with variable x represents this situation? What is the solution to that inequality? Enter the solution as an inequality using x.

1 answer:

professor190 [17]3 years ago

4 0

To find the answer you must first make the equation which is

(5x)+85=150

subtract 85 from 150

(5x)=65

now divide 65 by 5

resulting in the answer

X=13

To check this

(5 x 13)+85=160

(5x)+85≤150

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What’s the slope of a line that passes through the points (-3,7) and (-3, 4)?

Dmitry_Shevchenko [17]

Answer: The slope should be infinity.

Step-by-step explanation: I hope this helps you!

4 0

3 years ago

Read 2 more answers

The fourth graders are helping raise money for the local animal shelter they hoped to raise 1,000. so far they have made 465 in

vredina [299]

The fourth graders raised 175 more than 1,000 for the local animal shelter.

First, let us identify the given.

Target value to raise= 1,000
Profit from bake sale= 465
Profit from t-shirt sales= 710

How much money did the fourth graders raise? The sum of the profit from the bake sale and t-shirt sales determines the total money raised.

Total money= Profit from bake sale + Profit from t-shirt sales

Total money= 465 + 710

Total money= 1175

How much more than 1,000 have the fourth graders raised? This amount is equivalent to the difference between the total money raised and the target amount, 1,000.

Total money-target amount

1175-1000= 175

You can learn more through this link brainly.com/question/24560878.

#SPJ4

4 0

2 years ago

A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.

ale4655 [162]

We are trying to find the average speed of the plane, which is mph, or $\dfrac{\textrm{miles}}{\textrm{hour}}$ . Using proportions, we can find the average speed of the plane in mph:

$\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}$

Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that $x$ .

$\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}$

Multiply the entire equation by $1 \,\textrm{hour}$

$\dfrac{525}{1.75} = 300 = x$

Divide both sides of the equation by $1 \,\textrm{mile}$ to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0

3 years ago

we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to

Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

42% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.42$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}$

$\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2$

$n = 1076.8$

Rounding up:

A sample of 1077 is required.

3 0

3 years ago

Write an equation of the line that passes through the point (5, -8) with slope 5

Oxana [17]

$\Large\texttt{Answer}$

$equation=$ $\bold{y=5x-33}$

$\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

$\Large\texttt{Process}$

<em>⇨ Use the formula below</em>

<em /> $\bf{y-\hfill\stackrel{y \:co-ordinate}{y1}=\hfill\stackrel{slope}{m}(x-\hfill\stackrel{x\:co-ordinate}{x1)}}$

<em>⇨ Substitute the parameters:</em>

<em />

<em /> $\bold{y-(-8)=5(x-5)}$

$\bold{y+8=5x-25}$

$\bold{y=5x-33}$

Hope that helped

4 0

2 years ago