All categories

3 years ago

Which situation is represented by the inequality?

Mathematics

1 answer:

Rudiy273 years ago

7 0

Answer:

Step-by-step explanation:

Let x be the number of guests needed to cover the cost of the permit.

Each guest pays $1.25, then x guests pay $1.25x.

200 students attend the picnic, each student attending the picnic pays $0.75, then 200 students pay $\$0.75\cdot 200$

The total sum the students and the guest pay is

$\$0.75\cdot 200+\$1.25x$

A local high school needs to purchase a park permit for $250.00 for their upcoming senior class picnic, then

$\$0.75\cdot 200+\$1.25x\ge 250$

So, correct option is C:

A local high school needs to purchase a park permit for $250.00 for their upcoming senior class picnic. Each student attending the picnic pays $0.75. Each guest pays $1.25. Suppose 200 students attend the picnic. What is x, the number of guests needed to cover the cost of the permit?

You might be interested in

Which is bigger 1/6 or 3/11?

NemiM [27]

Multiply both 1/6=11/66, 3/11=9/66. 1/6 is bigger.

8 0

3 years ago

Read 2 more answers

Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had rev

nikklg [1K]

Answer:

the cash flow from operation is $267,397

Step-by-step explanation:

Given that

Revenues be $876,223

General and admin expense $352,479

Depreciation expense $131,455

Leasing expense $108,195

Interest expense $78,122

Tax rate is 34%

We need to find out the cash flow from operation

As we know that

Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation

= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455

= $205,972 × (1 - 0.34) + $131,455

= $267,397

Hence, the cash flow from operation is $267,397

8 0

3 years ago

Help me out pleaseee

spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the $x$ intercept meaning the value of the point on $x-axis$ when $y=0$

So we will put the value of zero $(0)$ instead of $y$ in our given equation.

So here we have solved it algebraically.

$y=\frac{3}{4}x-3$

Putting $y=0$

$0=\frac{3}{4}x-3$

$0=\frac{3x-12}{4}$

Multiplying $4$ both sides.

$0=3x-12$

Adding $12$ both sides.

$12=3x$

Dividing with $3$ both sides.

$x=\frac{12}{3}=4$

So the x-intercept of the given equation is $4$ which can be written as $(4,0)$ in terms of coordinates.

Option B $(4,0)$ is the correct choice.

8 0

3 years ago

A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar

ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let $\mu$ = mean waiting time for bus number 14.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 10 minutes {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean waiting time = 7.8 minutes

s = sample standard deviation = 2.5 minutes

n = sample of different occasions = 18

So, test statistics = $\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }$ ~ $t_1_7$

= -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0

3 years ago

In a school, the ratio of soccer players to volleyball players is 4 : 1.

VLD [36.1K]

4:1 means for every four soccer player there is 1 volleyball player

that means there are four times the number of soccer players than volleyball players

7 0

3 years ago