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3 years ago

How do I solve this word problem?

Mathematics

1 answer:

german3 years ago

8 0

Answer:

280 student tickets
520 adult tickets

Step-by-step explanation:

You may recognize that you are given two relationships between two unknowns. You can write equations for that.

You are asked for numbers of adult tickets and of student tickets. It often works well to let the values you're asked for be represented by variables. We can choose "a" for the number of adult tickets, and "s" for the number of student tickets. Then the problem statement tells us the relationships ...

a + s = 800 . . . . . . 800 tickets were sold

12.50a + 7.50s = 8600 . . . . . . . revenue from sales was 8600

(You are supposed to know that the revenue from selling "a" adult tickets is found by multiplying the ticket price by the number of tickets: 12.50a.)

___

You can solve these two equations any number of ways. One way is to do it by <em>elimination</em>. We can multiply the first equation by 12.50 and subtract the second equation:

12.50(a +s) -(12.50a +7.50s) = 12.50(800) -(8600)

5s = 1400 . . . . simplify. (The "a" variable has been eliminated.)

s = 280 . . . . . . divide by 5

Then the number of adult tickets can be found from the first equation:

a + 280 = 800

a = 520

280 student tickets and 520 adult tickets were sold.

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Factor the following expression: 16z+20

Evgen [1.6K]

Answer:

4z + 5

Step-by-step explanation:

16 and 20 are both dividable by 4, so you divide them both by four and then you have your answer

3 0

2 years ago

Read 2 more answers

Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0

2 years ago

Someone please help with the questions on this picture!! URGENT!!!

tia_tia [17]

Answer:

A) Independent

B) Dependent

Step-by-step explanation:

A) If we take a marble out and put the marble back, it means we have restored the sample to what it was initially and thus it doesn't affect probability of making another selection.

Thus, this is an independent event.

B) A card is taken from a deck of cards without replacement and set aside. Then after that another card is taken from the first sample, this means that the first sample size has now reduced and thus the first card taken affects the probability of the second card to be picked. Thus, this is a dependent event.

5 0

3 years ago

Anne-marienhas saved 9 dollars for a new coat that is 1/6 as much money as she needs how much does the coat cost

Tatiana [17]

Answer:

Cost of the coat = $54

Step-by-step explanation:

Given:

She saved = $ 9

To Find:

Cost of the coat = ?

Solution:

Let the price of coat be x

She saved $9

and according to given condition it is 1/6 of the total money she needs for buying coat

by this we have

$\frac{1}{6}*x = 9$

Multiplying both sides by 6

$\frac{1}{6}*x*6 = 9*6$

it becomes

x = 9*6

x = $54

As x is the amount she needs

Cost of the coat = $54

7 0

3 years ago

Solve for x your answer must be simplified x-24>9

PtichkaEL [24]

Answer:

x - 24 > 9

x > 33

Step-by-step explanation:

3 0

2 years ago