1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Minchanka [31]
3 years ago
10

So far a total of 48 tickets have been sold for the school play for a total revenue of $220. How many student tickets have been

sold? Set up and solve a system of equations to solve the problem.
Adult = $7
Student=$3
Mathematics
1 answer:
Advocard [28]3 years ago
6 0
Let x be the number of adult tickets and y be the number of student tickets.

From the first sentence we can set up both equations:

1) x + y = 48
2) 7x + 3y = 220

Rearrange #1 to isolate x:
x = 48 - y

Sub that into #2 and solve for y to get your answer:
7(48 - y) + 3y = 220
336 - 7y + 3y = 220
-4y = -116
y = 29

29 student tickets were sold.
You might be interested in
Please help me asap i will give brainiest and all my points
Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

16^{5}+215 by 33

1,048,576 + 215

1,048,791

We now then divide the total amount with 33.

\dfrac{1,048,576}{33}

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

51^{7}-51^{6} by 25

897,410,677,851 - 17,596,287,801

879,814,390,050

We now then divide the total amount with 25.

\dfrac{879,814,390,050}{25}

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. 51^{7}-51^{6} IS divisible by 25.

Next on we have:

5^{5}-5^{4} +5^{3} by 7

3,125 - 625 + 125

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

2,500 + 125

2,625

We now then divide the total amount with 7.

\dfrac{2,625}{7}

= 375

The total value did NOT return a decimal point, therefore making the equation true. 5^{5}-5^{4} +5^{3} IS divisible by 7.

7^6+7^5-7^4 by 11

117,649+16,807-2,401

134,456-2,401

132,055

We now then divide the total amount with 11.

\dfrac{132,055}{11}

= 12,005

The total value did NOT return a decimal point, therefore making the equation true. 7^6+7^5-7^4 IS divisible by 11.

Last but not the least:

5^{23}-5^{21} by 24

11,920,928,955,078,125-476,837,158,203,125

11,444,091,796,875,000

We now then divide the total amount with 24.

\dfrac{11,444,091,796,875,000}{24}

= 476,837,158,203,125

The total value did NOT return a decimal point, therefore making the equation true. 5^{23}-5^{21} IS divisible by 24.

5 0
3 years ago
The length of a​ standard-sized rectangular rug is 2 feet longer than the width. Let x be the width. Which of the following quad
ipn [44]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
In what ways does algebra act as a tol to improve communication? How does algebra affect how people can learn from each other​
Serjik [45]

Answer:

it helps you in everyday life

Step-by-step explanation:

you can speak better

4 0
3 years ago
An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of
____ [38]

Answer:

  • angle at A: 51°
  • base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

6 0
3 years ago
Dante is standing at horizontal ground level with the base of the Empire State Building in New York City. The angle formed by th
enot [183]

Answer:

C. 1307 ft

Step-by-step explanation:

Given:

Angle = 48.4 degrees

Height, opposite side= 1472 feet

his distance from the Empire State Building, base=x

Now as per the trigonometric ratios:

Tan∅= Opposite/base

tan(48.4)= 1472/x

x=1472/(1.13)

x=1302.65

his distance from the Empire State Building is 1302.65 feet!

4 0
3 years ago
Read 2 more answers
Other questions:
  • A soda container holds 51\2 gallons of soda .how many
    9·1 answer
  • The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho
    9·1 answer
  • Write a word problem that fits with the equation (-3) - 7.
    11·1 answer
  • How to find the answer to -3(t-8)=32
    5·1 answer
  • Hannah has $500. She buys a camera for $435 and 4 other items for $9 each. Now Hannah wants to buy speakers for $50. Does she ha
    11·1 answer
  • A mouse runs across a 5.56 m kitchen floor in 3.42 seconds.What is the velocity of the mouse?
    7·1 answer
  • Find the value of y. –2y + 16 + 6y = 44
    15·1 answer
  • Write the related pairs as ordered pairs.
    15·1 answer
  • Della went to the market to buy 4.5 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 and received $4.67
    8·1 answer
  • Choose the slope-intecept form of the equation of the line through the given points.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!