Sara is selling tickets to a high school festival. She sold 10 less senior tickets than junior tickets and she sold 3 times as many sophomore tickets as junior tickets (no freshman allowed). Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7. Sara raised $782. Write an equation to model the situation so that we can find the amount of tickets sold to seniors, juniors, and sophomores.

Answers

Answer 1

Answer:

[tex]29x-30=782[/tex] where x denotes number of junior tickets.

Step-by-step explanation:

Let x denotes number of junior tickets.

Sara sold 10 less senior tickets than junior tickets.

Number of senior tickets [tex]=x-10[/tex]

Sara sold 3 times as many sophomore tickets as junior tickets.

Number of sophomore tickets [tex]=3x[/tex]

Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7.

Total amount raised by Sara [tex]=5x+3(x-10)+7(3x)=5x+3x-30+21x=29x-30[/tex]

Sara raised $782.

So,

[tex]29x-30=782[/tex]


Related Questions

Tessa adopts a rescue dog. On the way home, she stops at the store to buy a case of dog
food. A case has 12 cans and costs $19.92. How much does each can cost?

Answers

Answer:

1.66

Step-by-step explanation:

19.92/12= 1.66

So $1.66 per can

Answer:

1.66

Step-by-step explanation:

Picture attached !!!

Answers

Answer:

D.

Step-by-step explanation:

Since they are both the same angle measures, they are congruent, and also corresponding since they are located on the same side and half of the different lines.

20 POINTS AND BRAINLIST
restaurant has 22 bags of potatoes weighing 363 pounds. If the weight of the bags of potatoes varies directly with the number of bags of potatoes, how much will 15 bags weigh?
a 247.5
b 330
c 115.5
d 315

Answers

A - i hope so


363 divided by 22 is 16.5

16.5 x 15 is 247.5

3x + 2y + 4 ; x= 2 and y=3 |

Answers

Answer:

if x=2 and y=3 then

3x+2y+4 ---> 3(2)+2(3)+4

3(2)+2(3)+4

6+6+4

6+10

16

What is the distance from the origin to point A graphed on the complex plane below?

On a coordinate plane, Point A is at (negative 3, negative 2).

Answers

Distance between two points is
Root of X2 - X1 squared + Y2 - Y1 squared
So here X2 is 0 X1 is 0 as the origin is 0,0
Root of Y2-Y1 squared is what we are left with
Root of -2- -3 squared
Root of 1 squared
Root of 1
Which is 1
Distance is 1

Answer:

B.) sqroot 13

Step-by-step explanation:

Help please!!! 20 points

Answers

Answer:

I have no idea sorry

Step-by-step explanation:

Please help! Need answered as soon as possible!

Answers

It’s C a undefined slope for sure:)

K = 1/5
what is the answer

Answers

Answer:

K=1/5 or in decimal form 0.2

Step-by-step explanation:

Keith needs to drive a total of 18 miles. So far, he has driven 9.4 miles. How many more miles must Keith drive?

Answers

Has to drive 8.6 miles

raise the product of 36 and 9 to the power sum of 2 and 4

Answers

Answer:

Step-by-step explanation:

36 x 9 = 324

324^6

=324*324*324*324*324*324

=324^6

=1156831381426176

Hep please!!!!!!!!!!!!!!!!!!!!!!!!really need it

Answers

Answer:

r = 15

Step-by-step explanation:

r + 2 + 2r - 13 = 34

3r = 45

r = 15

note: brainy award pls ;>

$495 was shared amongst 3 friends in the ratio of 3:7:10, find the sum of money shared

Answers

Answer: 165$ per friend.

Step-by-step explanation: 495/3=165.

Answer:

$165

Step-by-step explanation:

Which best describes how to subtract 6.45 from 81.3?
Align the numbers on the decimal point. Place a zero in the hundredths place of 81.3.
Subtract from right to left, regrouping as necessary
Align the digits of the numbers on the right-most digit.
Subtract from right to left, regrouping as necessary.
Align the digits of the numbers on the left-most digit
Subtract from right to left, regrouping as necessary
Align the numbers on the decimal point.
Subtract from left to right, regrouping as necessary

Answers

Answer:

Align the numbers on the decimal point. Place a zero in the hundredths place of 81.3. Subtract from right to left, regrouping as necessary.  

Step-by-step explanation:

The Correction Observation is

Align the numbers on the decimal point. Place a zero in the hundredths place of 81.3. Subtract from right to left, regrouping as necessary.  

What is Subtraction?

To subtract is to take something or somethings away from a group. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

Given:

subtract 6.45 from 81.3

For Subtraction

First, Align the numbers on the decimal point.

Then, Place a zero in the hundredths place of 81.3.

lastly , Subtract from right to left

Learn more about subtraction here:

https://brainly.com/question/2346316

#SPJ2

What is the mean? 20,22,25,28,29,30,33,34 ( Show work )
Please help and thanks.

Answers

Answer:

27.6

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

27.625

Step-by-step explanation:

you need to add all those numbers and then divide your answer by the amount of numbers there are

20+22+25+28+29+30+33+34 =221

221÷8

i need help :) !!!!!

Answers

Answer:

hey um how do u put a pic on it I mean I no but it wont let me ask a q with a pic and I'm afraid even a q

Answer:

35 maybe

Step-by-step explanation:

(WILL MARK AS BRAINLIEST) How do you know if a set of information shows a proportional relationship? Select ALL that apply.

Answers

A, D

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality

1. Jonathan bought 10lb of flour at $7.50. He had a store coupon for $0.79. What was the
final price for the flour?
the answer and work

Answers

Answer:

6.71

Step-by-step explanation:

The solution should be $6.71 because when you subtract $7.50 and $0.79 you end up with $6.71.

If AB = 10, and BC = 5, what is the value of CD?

Answers

15 - in geometry it mostly just think about what goes together. I know a lot of people who get the set up and the format confused when all you honestly have to do is add subtract and find variables.

giving brainliest please help quick !

Answers

Answer:

17

Step-by-step explanation:

10/-10+3x6

-1+3x6

-1+18

17

17 is your answer

Answer:

positive 17

Step-by-step explanation:

You have a 18.96 cubic centimeter gourd that has a density of 2.23 g/ml, what is the mass of the gourd?

Answers

42.28g

M=D x V
18.96 x 2.23 = 42.28

i dont understand the question

Answers

Answer:

2 <= to x <= 5

Step-by-step explanation:

/////////////

A nautical mile equals 6,076 feet, and a land mile equals 5,280 feet. How many feet longer is the nautical mile?

Answers

Answer:

796 feet

Step-by-step explanation:

9. Subtract: 5 - 3 1/3

A. 1 2/3
B. 2 2/3
C. 3 1/3
D. 2 1/3

Answers

Answer:

b is the right answer

Step-by-step explanation:

plz can u follow and make brainliest answer and like and thx to u

Answer:

A. 1 2/3

Step-by-step explanation:

I thought of it backwards and did 1 and 2/3 + 3 and 1/3 = 4 and 3/3

and that turns into 5

Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She spent $3221.75 in all to repay the loan. How many years did Georgia take to repay the loan?

Answers

Answer: 9 years

Step-by-step explanation:

Simple interest = PRT/100

where

P = principal = $2450

R = rate = 3.5%

T = time = unknown

Interest = $3221.75 - $2450 = $771.75

Simple interest = PRT/100

$771.5 = ($2450 × 3.5 × T)/100

$771.5 = $8575T/100

8575T = 771.5 × 100

8575T = 77150

T = 77150/8575

Time = 8.99 years = 9 years

A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.

m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.

Answers

Answer:

A, D, E

Step-by-step explanation:

Answer:

A. m ∠CEA = 90°

D. ∠CEF is a straight angle.

E. ∠AEF is a right angle.

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

Help me please??????

Answers

Answer:

Option D, 40

Step-by-step explanation:

90 + 50 = 140

180 - 140 = 40

Answer:

40

Step-by-step explanation:

180-90+50=40

brainliest appreciated

A stem and leaf plot shows the number of kilometers walked for charity. The plot is titled 'Kilometers Walked for Charity.' The numbers 12, 13, 14, 15, 16, and 17 are in a vertical column to the left of a vertical line. · On the same line as 12 but on the right of the vertical line are the numbers 3, 3, 6, 7, 9, and 9. · On the same line as 13 but on the right of the vertical line are the numbers 1, 1, 4, 5, and 5. · On the same line as 14 but on the right of the vertical line are the numbers 0, 0, 2, 3, 3, 8, 8, and 9. · On the same line as 15 but on the right of the vertical line are the numbers 2, 2, 2, 2, 2, 3, 5, 5, and 7. · On the same line as 16 but on the right of the vertical line are the numbers 4, 5, 5, 9, and 9. · On the same line as 17 but on the right of the vertical line are the numbers 3 and 5. The key to the stem and leaf plot identifies that 12 vertical line 3 means 12.3. a. Describe how to find the range of the data set. b. Find the range.

Answers

Answer:

For part A: Range is difference between the highest value and lowest value of the data set.

For part B: Range is 5.2

Step-by-step explanation:

For part A:

Range of a data set is difference between the highest value and lowest value of the data set.

For part B:

From stem and leaf and it's key ,we can write our data set as

12.3,12.3,12.612.7,12.9,12.9,13.1,13.1,13.4,13.5,13.5,14.0,14.0,14.2,14.3,14.3,14.8,14.8,14.9,15.2,15.2,15.2,15.2,15.2,15.3,15.5,15.5,15.7,16.4,16.5,16.5,16.9, 16.9, 17.3,17.5.

Lowest value of data set = 12.3

Highest value of the data set =17.5

So, range = highest value- lowest value= 17.5-12.3 =5.2

Please help quickly

Answers

Answer:

m∠PQR = 133

Step-by-step explanation:

∠PQR and ∠RQS are supplementary angles, meaning they have a sum of 180°.

3x - 5 + x + 1 = 180

4x - 4 = 180

4x = 184

x = 46

Now we simply substitute 46 in for x:

3(46) - 5 = 133

A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is the time of the dive, in minutes. Based on the regression equation, what is the predicted dive depth in meters at 150 seconds? Give your answer to three decimal places. meter(s) ​

Answers

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

j = 0.010 + 6.2875

j = 6.2975 which go 3 decimal places is 6.298 meters

Using the regression model given, substitution the value of x = 2.5 minutes into the equation, the dive depth obtained ls 6.2975 meters.

Given the regression model :

y = 0.010 + 2.515x

x = time of the dive ; y = dive depth

Converting, x to minutes :

150 seconds = (150 ÷ 60) = 2.5 minutes

The dive depth, y after 150 seconds, can be obtained by substituting the value x = 2.5 into the equation :

y = 0.010 + 2.515(2.5)

y = 0.010 + 6.2875

y = 6.2975

There, the dive depth after 150 seconds will be 6.2975 meters

Learn more : https://brainly.com/question/18405415

I need help pls if u are good at math stuff

(-2.2) · (-2) · (–1) · (5) = ?
1. 88
2. 5 1/2
3. -88
4. -5 1/2

Answers

Answer:

My answer came out to -22.

Step-by-step explanation:

Start multiplying from left to right:

Two negatives multiplied are positive:

-2.2·(-2)=4.4

A negative and a positive multiplied equal a negative:

4.4·(-1)=-4.4

-4.4·5=-22

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