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
Solnce55 [7]
2 years ago
14

4 Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket salesfor

opening night totaled $2071.50. The equation 10.50a 3.75b 2071.50, where a is the number of adult ticketsA sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82students attended, how may adult tickets were sold?adult tickets

Mathematics
2 answers:
Kitty [74]2 years ago
4 0
$10.50a + $3.75b = $2,071.50 It is given that b = 82 Therefore - $10.50a + ($3.75)(82) = $2,071.50 or $10.50a + $307.50 = $2,071.50 $10.50a = $2,071.50 - $307.50 = $1,764.00 Therefore - a (number of adult tickets sold) = $1,764.00/$10.50 = 168 tickets
den301095 [7]2 years ago
3 0

Answer: The number of adult tickets sold is 168.

Step-by-step explanation:  Given that the Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students.

The ticket sales for opening night totaled $2071.50. The equation representing the situation is

10.50a+3.75b=2071.50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where a is the number of adult tickets sold and b is the number of student tickets sold.

We are to calculate the number of adult tickets that were sold.

If 82 students attended, then b = 82.

Substituting the value of b in equation (i), we get

10.50a+3.75b=2071.50\\\\\Rightarrow10.50a+3.75(82)=2071.50\\\\\Rightarrow10.50a+307.5=2071.50\\\\\Rightarrow10.50a=2071.50-307.5\\\\\Rightarrow10.50a=1764\\\\\Rightarrow a=\dfrac{1764}{10.50}\\\\\Rightarrow a=168

Thus, the number of adult tickets sold is 168.

You might be interested in
The ratio of cars to trucks is 9:4. The ratio of trucks to SUV's is 12:21. There are 54 cars.
Elenna [48]

Answer:

Number of trucks = 24

Number of SUVs = 24

Step-by-step explanation:

A)

The ratio of cars to trucks is 9:4

The total ratio of cars to trucks is

9+4 = 13

Let x = sum of cars and trucks.

There are 54 cars. Therefore,

x = 54 + t trucks

Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,

54 = 9/13 × x

9x / 13 = 54

9x = 13 × 54

9x = 702

x = 702 / 9 = 78

x = 54 + t trucks = number of trucks = 78 = 54 + t trucks

t trucks = 78 - 54 = 24

Number of trucks = 24

B)

The ratio of trucks to SUVs is 12:21

The total ratio of cars to trucks is

12 + 21 = 33

Let y = sum of trucks and SUVs

There are 24 trucks. Therefore,

x = 24 + s SUVs

Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,

24 = 12 / 33 × y

12y / 33 = 24

12y = 24 × 33

12y = 792

y = 792 / 12 = 66

y = 24 + s SUVs

66 = 24 + s SUVs

s SUVs = 66 - 24 = 42

Number of SUVs = 24

7 0
3 years ago
Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years
Alinara [238K]

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

I=\dfrac{6000\times 6\times 4}{100}

I=60\times 6\times 4

I=1440

Now,

Amount=Principal+Interest

Amount=6000+1440

Amount=7440

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

7 0
3 years ago
Keira's older cousin earns $700 a week. Recently he moved into his own apartment. What amount of debt do you think is reasonable
umka21 [38]

Answer:

10,000

Step-by-step explanation:

5 0
3 years ago
Solve the integral:<br><img src="https://tex.z-dn.net/?f=%20%5Cint%20%5C%3A%20%20%7Be%7D%5E%7B%20-%20%20%7Bx%7D%5E%7B2%7D%20%7D%
Sever21 [200]

e^{-x^2} has no antiderivative in terms of elementary functions (polynomials, exponentials, logarithms, trigonometric functions, etc), but there is a special function defined to fit that role called the error function, \mathrm{erf}(x), where

\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^xe^{-t^2}\,\mathrm dt

By the fundamental theorem of calculus, we can see that

\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}

which means we have

\displaystyle\int e^{-x^2}\,\mathrm dx=\dfrac{\sqrt\pi}2\mathrm{erf}(x)+C

8 0
3 years ago
Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x?
Alenkasestr [34]

it would still be 29 bc it fliped around but it has to eqaul to the right angle

7 0
3 years ago
Other questions:
  • A person who weighs 100 pounds on earth weighs 16.6 lb on the moon. What is the independent variable? Explain why
    7·1 answer
  • A ______________ is an ordered set of numbers or objects in which the order helps you predict what comes next
    7·2 answers
  • Suppose f(x)=x-4.<br> Find the graph for f(1/4x)
    6·1 answer
  • Find the intersection of the line and the circle given below <br> y=-x-3<br> x^2+y^2=17
    13·2 answers
  • AB and BC are perpendicular lines.<br> А<br> 24<br> to<br> 24<br> B.<br> с<br> Find the value of x.
    7·1 answer
  • What is the solution to the following system of equations?
    9·1 answer
  • 1,2,3,5
    14·2 answers
  • -3x-5y=-7 -4x+5y=14 solve by elimination
    8·1 answer
  • What solid 3D object is produced by rotating the rectangle about line m?
    8·1 answer
  • Help! im doing a gooru question but i dont know how to do it
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!