Ask question

Ask question

All categories

LUCKY_DIMON [66]

3 years ago

7

The harrison middle school students are selling tickets for the annual talent show. On the first day of tickets sale the student

sold 10 adult tickets and 11 students tickets for a total of $190. The second day, the students sold a total of $160 worth of tickets, 5 adult tickets and 12 student tickets. What is the price of the adult tickets? What is the price for the students tickets?

1 answer:

saul85 [17]3 years ago

8 0

Answer: $10

Step-by-step explanation:

Let adults tickets be denoted by a

Let student tickets be denoted by s

On the first day of tickets sale, there were 10 adult tickets and 11 students tickets sold for a total of $190. This will be:

10a + 11s = 190

The second day, there were a total of $160 worth of tickets, 5 adult tickets and 12 student tickets. This will be:

5a + 12s = 160

We combine both equations

10a + 11s = 190 .......... equation i

5a + 12s = 160 ........... equation ii

Multiply equation i by 5

Multiply equation ii by 10

50a + 55s = 950 ....... equation iii

50a + 120s= 1600 ........ equation iv

Subtract equation iv from iii

50a + 55s = 950

- 50a + 120s= 1600

-65s = -650

65s= 650

Divide both side by 65

s = 10

The price for the student's ticket is $10.

You might be interested in

Please help fast I’m not sure exactly how to do this or find it

Vanyuwa [196]

The answer would be B check the picture for work.

7 0

3 years ago

Read 2 more answers

How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

$\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }$

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

<u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u> (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}$

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

3 0

3 years ago

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true <br> plsss help :)))

Ivanshal [37]

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

$\frac{9}{1}$ ÷ $-\frac{1}{3}$ = $\frac{9}{1}$ · $-\frac{3}{1}$

= -27

2. Divide both sides by 2:

2(x - 9) = -27

$\frac{2(x-9)}{2} = \frac{-27}{2}$

(x - 9) = $-\frac{27}{2}$

3. Add 9 to both sides:

x = $-\frac{9}{2}$

(or 4.5 if you need it in decimal form)

hope this helps!

6 0

2 years ago

Can you please check if this is correct?

Reika [66]

Answer: not sure how helpful this is, but the second one is correct (if it's the one that's corresponding to the blue line). The pink line, however, is incorrect if it is corresponding to the first equation. The first equation must have a y-intercept of 1.

Step-by-step explanation:

4 0

3 years ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

Gnoma [55]

The converted fractions are 3/12 and 5/12 and the sum is 2/3

<h3>How to convert the fractions?</h3>

From the question, the fractions are given as

1/4 and 5/12

The denominators of these fractions are

4 and 12

So. we start by calculating the LCD of the denominators

So, we have

4 = 2* 2

12 = 2 * 2 * 3

This gives

LCD = 2 * 2 * 3

Evaluate

LCD = 12

This means that the common denominator must be 12

So, we have

1/4 and 5/12

Multiply 1/4 by 3/3

This gives

3/12 and 5/12

When the fractions are added, we have

3/12 + 5/12 = (3 + 5)/12

Evaluate

3/12 + 5/12 = 8/12

Reduce fraction

3/12 + 5/12 = 2/3

Hence, the sum of the fractions is 2/3

Read more about fractions at

brainly.com/question/1622425

#SPJ1

8 0

1 year ago