Meal tickets at a large school cafeteria cost $4 for children and $9 for adults. On a certain day,
if 14 times as many children's tickets were bought as adult meal tickets, and the total revenue
from selling all tickets was $2,584, about how many children bought meal tickets?

Answers

Answer 1

Answer:

Let's define:

C = number of children tickets bought

A = number of adult tickets bought.

We know that "On a certain day,  if 14 times as many children's tickets were bought as adult meal tickets"

Then we have:

C = 14*A

And we also know that:

"the total revenue  from selling all tickets was $2,584"

Then:

C*$4 + A*$9 = $2,584

Then we have a system of equations:

C = 14*A

C*$4 + A*$9 = $2,584

The first step to solve these is to isolate one of the variables in one of the equations, and then replacing it in the other equation. We can already see that C is already isolated in the first equation, then we can just replace it in the second one to get:

(14*A)*$4 + A*$9 = $2,584

A*$56 + A*$9 = $2,584

A*$65 = $2,584

A = $2,584/$65 = 39.75

Here we should have a whole number, (So one of the numbers given may be incorrect) This is because we can not have a 0.75 of a ticket sold.

In this case, we know that:

C = A*14

C = 39.75*14 = 546.5

We could round this up to get a whole number; 547

About 547 children tickets were sold.


Related Questions

Pls help! Will mark first correct answer brainliest

Answers

Answer:

1.25, 40

1.6, 30

Step-by-step explanation:

First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.

We write the equations: A + B = 70, (This is the lbs)

and, 1.25A + 1.6B = 1.4(70) (This is money)

Next, choose an equation you want to solve for, in this case, I'll choose A.

In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A

Now substitute this equation into the money equation.

1.25A + 1.6(70 - A) = 98

1.25A + 112 - 1.6A = 98

-0.35A = -14

multiply by negative

0.35A = 14

divide

A = 40

Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!

You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
A
50%
B
60%
с
20%
D
25%

Answers

Answer:

с ) 20%

Step-by-step explanation:

There are 5 orange candies, and 25 total candies to choose from. If you only want to pick the orange candies, then the probability would be 5/25, or 1/5.

1/5, in percentage, is 20%.

According to the stem and leaf plot above, how many students scored grades lower than $60

Answers

Answer:

7

Step-by-step explanation:

21,30,39,39,47,47,48.

basically 6|2 means 62 same with the others.

HOpe this helps plz hit the crown :D

HELP ASAP Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Answers

Answer:

The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Step-by-step explanation:

To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.

which equation represents the function?​

Answers

Answer:

[tex]y = \frac{5}{3}x +9[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First: We calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex](x_2,y_2) = (0,9)[/tex]

The slope becomes:

[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]

[tex]m = \frac{9+1}{0+6}[/tex]

[tex]m = \frac{10}{6}[/tex]

[tex]m = \frac{5}{3}[/tex]

The equation is then calculated as:

[tex]y - y_2 = m(x-x_2)[/tex]

So, we have:

[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]

[tex]y - 9 = \frac{5}{3}x[/tex]

Make y the subject

[tex]y = \frac{5}{3}x +9[/tex]

Read the problem and examine the diagram.
Of all the students in the school band, 6 play the trumpet. They represent 10% of the
total number of students in the band. How many students are in the band?
Which choice is NOT a correct way to check your answer?


A. The answer should be 10% of 6.

B. The answer multiplied by 10% should be 6.

C. 10% of the answer should be 6.

D. 6 should be 10% of the answer.

Answers

Answer:

Option A: The answer should be 10% of 6 is the correct answer.

Step-by-step explanation:

Given that:

6 students play trumpet. As they represent 10% of the total students.

Let,

x represent the number of students in the band.

10% of x = 6

By solving this, we will get the value for number of students in the band.

As x will be our answer,

The choices B, C and D are correct in the given scenario.

However,

10% of 6 cannot be the solution to the problem.

Hence,

Option A: The answer should be 10% of 6 is the correct answer.

Find the slope of the linear function.
12x = -10 + 2y
Slope =
Blank 1:

Answers

First rewrite as y=Mx+b

2y = 12x - 10

Then simplify by dividing by the number in front of y

Y = 6x - 5

In the equation y=Mx+b ‘M’ is slope

Therefore the answer is 6

Let f(x) = 5x +1.
Find f(2)

Answers

Answer:

 f(2) =11

Step-by-step explanation:

Explanation:-

Given the function f(x) = 5x+1

                       Put x = 2

                       f(2) = 5(2)+1

             ⇒      f(2) = 10 +1

            ⇒      f(2) =11

I GIVEEEEE BRAINLILST
I NEED HELPPPP

Answers

what do you need help on?

:):):):):):):):):):):):)):):):):):):):)

5x5x5x5x5x5=... plz answer

Answers

Answer: 15,625

Step-by-step explanation: 5x5x5x5x5x5= 15,625

Find the solution to each number sentence below:

(1) - 10 + 15 = _______

(2) 28 + (-29) = _______

(3) -40.5 + (-0.5) = ______

(4) 50 - (- 5) = ______ (5) 100 - 255 = ______
(Hint: take away a negative means adding the opposite)

Answers

Answer:

1. 5

2. -1

3.-41

4. 55

5.-155

Step-by-step explanation:

Answer:

1) 5

2) -1

3) - 41

4) 55

5) -155

can someone plz help me witt this??

Answers

Answer:

23

Step-by-step explanation:

sythenic division hard asab

A homeowner is mixing vinegar with water to dissolve calcium deposits
around a bathroom sink. The original formula calls for 10 ounces of vinegar
mixed with 30 ounces of water. The homeowner wants to make a stronger
mixture by adding more vinegar (variable v). Which equation will show
"total water / total vinegar"
30/(10 + v)
(30 + v) / 10
(30 + v) / (10 + v)
30/10

Answers

Answer:

get good buddy

Step-by-step explanation:

Answer:

30/(10 + v)

Step-by-step explanation:

The original formula calls for 30 ounces of water and 10 ounces of vinegar. To make it stronger they are only adding an unknown amount of vinegar (v).

Write an algebraic expression for
the verbal expression:
"5 times the sum of a squared and
b minus 3 times the sum of
a and b".​

Answers

Answer:

"5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

5(a²+b) - 5(a+b)

which can be simplified such as:

[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]

Step-by-step explanation:

Given the verbal expression

"5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

BREAKIN DOWN THE STATEMENT:

The sum of 'a' Squared and 'b' = a²+b

5 times the sum of a squared and  b = 5(a²+b)

The sum of a and b = a+b

3 times the sum of  a and b = 5(a+b)

Now, "5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

5(a²+b) - 5(a+b)

Let us simplify the algebraic expression

[tex]5\left(a^2+b\right)-5\left(a+b\right)[/tex]

[tex]=5a^2+5b-5a-5b[/tex]

simplify

[tex]=5a^2-5a[/tex]

Thus,

[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]

You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
А 1/5
B 1/6
С 1/8
D 5/24

Answers

Answer: B) 1/6

Explanation: First, we want to add up all the candies, and after doing that we discover that there are 25 candies in total. Next, we take away an orange candy, leaving us with 4 orange candies, but it also takes away 1 from the number of total candies, leaving us with 24 total candies. Finally, we put orange candies as our numerator and total candies as our denominator and get 4/24, which simplified becomes 1/6.

Answer:

A. 1/5

Step-by-step explanation:

The chances of drawing another orange would be 20%. And since means 1/5 in fraction form, A. is the answer.

pls help!
​ 15 boxes of apples weighs 840 pounds. If the weight of the apples is proportional to the number of boxes then how many pounds does 28 boxes weigh?

Answers

Answer:

4,704 pounds

Step-by-step explanation:

make a ratio

boxes of apples:pounds

15:840

28:x

cross multiply:

15x = 23520

x = 4,704

hope this helps!

x is 4 more than
thrice of y​

Answers

Answer:

x is 4 more than thrice of y

[tex] \huge \boxed{x = 3y + 4}[/tex]

Plot 5 in the complex plane.

Answers

answer is there a photo or something we can see

Step-by-step explanation:

because just saying plot 5 doesn't make sense so we probably need a photo or more information

Can I see a photo because how I’m suppose to help you. Your just saying plot 5 in the complex plane with no image

Write the expression with fewer terms.

10−2

Answers

10-2 = 8
2^3 =8
(2x2x2) = 8

Answer:

8

Step-by-step explanation:

(10-2 is 8)

Hope this helps!

ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6

Answers

Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]

Result: [tex]\dfrac{17}{2}[/tex]

Step-by-step explanation:

Given phrase:  [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]

Required expression: [tex]\dfrac14\times(18+16)[/tex]    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]

Hence,     [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]  

Question 10
2 points
Save Answer
Donald, owner of Dallas Company, begin accounting for bad debts expense. Assume that Dallas Company has total revenues of $79,000 during 2019 and the Accounts Receivable balance on
December 31 2019. is $42.000
Assume that Dallas Company has one account receivable of $4,850 determined to be uncollectable, what journal entry is made to write of the uncollectable account?

Answers

Answer:

Allowance for doubtful account Dr 4850 , To Account receivable Cr 4850

Step-by-step explanation:

Journal Entry                                    Debit    Credit

Allowance for doubtful account    $4850  

To Account receivable                                   $4850

A debit to the allowance for doubtful accounts is to reduce the allowance balance that was previously established and a credit to the accounts receivable is to remove the amount that will not be collected.

1. Hannah added 5 marbles to her bag of marbles as shown in the model below.Create an equation using the model shown ( remember to use a variable for the unknown quantity). Explain the first step needed in order to solve your equation. How many marbles (m) did Hannah originally have in her bag?

Answers

Answer: Poop man

Step-by-step explanation: You throw your poop

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?

Answers

Answer:

3/18

Step-by-step explanation:

Answer:

18:3

Step-by-step explanation:

acorns go first then squirrels cause the question says acorns TO squirrels

a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?

Answers

Answer:

72

i think i remember doing this


Write an equation for the nth term of
the arithmetic sequence:
15,28,41 ....

Answers

Answer:

The equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

Where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

[tex]a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13[/tex]

So, the common difference d is 13

Now, equation for nth term will be:

[tex]a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2[/tex]

So, the equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

where n=1,2,3..

Express 2700 as a product of prime numbers.​

Answers

Answer:

9669

Step-by-step explanation:

69

The answer is:
9669
69

is a spray bottle a gallon pint quart or cup​

Answers

Answer:

most bottles are

about 2 pints

Step-by-step explanation:

Plz mark brainliest!

Answer:

I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints

Step-by-step explanation:

A pack of six cans of coffee cost $12. How much would 19 cans ofcoffee cost?

Answers

Answer: $38

Explanation: To find the answer, first of all we need to find out how much one can costs. We can do this by doing 12/6 and we discover that 1 can costs $2. We then do 19(2) to find the price of 19 cans and find out that it is $38. Hope this helped!

Solve the system by substitution.
-5x+3y=2
Y=2x

Answers

Answer:

2 is the required answer.

Step-by-step explanation:

Solution:

Given:

-5x+3y=2..............(i)

Putting the value of y=2x in the equation (i); we get:

i.e -5x+3×2x=2

or, -5x+6x=2

or, x=2

i.e. x=2

y=2x=2×2=4

Michael buys a dozen donuts for his friends for $6 what is the unit rate

Answers

Answer:

6 dollars per dozen

Step-by-step explanation:

This is a fraction equal to

6 dollars ÷ 1 dozen

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

6 dollars ÷ 1

1 dozen ÷ 1

=  

6 dollars

1 dozen

=  

6 dollars

dozen

= 6 dollars per dozen

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