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Mama L [17]
3 years ago
11

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total

of 17 people took the trip. She was able to purchase coach tickets for ​$270 and first-class tickets for ​$1140. She used her total budget for airfare for the​ trip, which was ​$12,420 How many first-class tickets did she​ buy? How many coach tickets did she​ buy?
Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Answer:

9 first class tickets and 8 coach tickets

Step-by-step explanation:

c + f = 17......c = 17 - f

270c + 1140f = 12,420

270(17 - f) + 1140f = 12,420

4590 - 270f + 1140f = 12,420

-270f + 1140f = 12,420 - 4590

870f = 7830

f = 7830 / 870

f = 9 <==== 9 first class tickets

c + f = 17

c + 9 = 17

c = 17 - 9

c = 8 <==== 8 coach tickets

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Feliz is looking at a cyclic quadrilateral EFGH. He says, "I'm not convinced that opposite
azamat

If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.

<h3>How to find angles of cyclic quadrilateral?</h3>

A cyclic quadrilateral is inscribed in a circle. It has all its vertices on the circumference of the circle.

Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.

Therefore,

∠F + ∠H = 180°

∠G + ∠E = 180°

Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.

Therefore, Felix was wrong.

learn more on cyclic quadrilateral here: brainly.com/question/21208662

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5 0
2 years ago
Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?
Artemon [7]
Your answer is 

B) 1/2

because there are 5 odd and 5 even numbers from 5 through 10, so it would be 1/2.

Glad I could help, and good luck!


4 0
3 years ago
Read 2 more answers
A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
Consider the given oblique cylinder, which has a diameter, d, of 2 inches, a height, h, of 3 inches, and a slant height, l, of 3
Rom4ik [11]

Answer:

The volume of cylinder is 9.42 in^3

Step-by-step explanation:

Diameter of cylinder = 2 inches

Radius of cylinder = \frac{Diameter}{2}

Radius of cylinder = \frac{2}{2} = 1 inches

Height of cylinder = 3 inches

Volume of cylinder = \pi r^2 h

Volume of cylinder = 3.14 \times 1^2 \times 3

Volume of cylinder =9.42 in^3

Hence the volume of cylinder is 9.42 in^3

6 0
3 years ago
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kobusy [5.1K]

y \leqslant  - 1

6 0
3 years ago
Read 2 more answers
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