At the movie theatre, child admission is $5.30 and adult admission is $9.90. On Monday, 164 tickets were sold for a total sales of $1195.80. How many child
tickets were sold that day?
Number of child tickets:
х
$
2
I Don't Know
Submit
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Answers

Answer 1

Answer:

97 child tickets were sold.

Step-by-step explanation:

[tex]x+y=164\\5.30x+9.90y=1195.80\\[/tex]

y=164-x

[tex]5.30x+9.90(164-x)=1195.8[/tex]

[tex]1623.6-4.40x=1195.8[/tex]

[tex]-4.40x=-427.8[/tex]

[tex]x=97.23[/tex]


Related Questions

Please help me

Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:

Step 1: [($32.75 ⋅ 2) + $70.99 − $12.25] ⋅ 1 over 4

Step 2: [$65.5 + $70.99 − $12.25] ⋅ 1 over 4

Step 3: $136.49 − $3.0625 = $133.4275

In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error.

Answers

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

two glasses of milk and 3 snack bars have a total of 78 carbohydrates​ (carbs), and 4 glasses of milk and 3 snack bars have a total of 96 carbs. Determine how many carbs are in one glass of milk and in one snack bar

Answers

Answer:

Each glass of milk is 9 carbs.

Each snack bar is 19.7 carbs.

Step-by-step explanation:

1. I know that 2 glasses of milk with 3 snack bars is 78 carbs.

The next part of the sentence has two times the amount of milk with the same amount of snack bars for 96 carbs.

Now, I will find the difference in the amount of carbs.

96 - 78 = 18 carbs.

So two glasses of milk = 18 carbs.

18 ÷ 2 = 9 carbs

So, each glass of milk is 9 carbs.

2. Since we know this, we can subtract the amount of carbs from the glasses of milk from the total amount of carbs.

78 - 19 = 59

In the first scenario, there are 59 carbs per 3 snack bars.

To find the amount of each snack bar, divide 59 by 3.

59 ÷ 3 = 19.7 when rounded to the nearest tenth.

Therefore, each snack bar is 19.7 carbs.

Answer:

glass of milk = 9 carbohydrates

snack bars = 20 carbohydrates

Step-by-step explanation:

Let s be snack bars and g be the glasses of milk.

3s + 2g = 78

3s + 4g = 96

-1(3s + 2g) = -1(78)

- 3s - 2g = - 78

- 3s - 2g = - 78

3s + 4g = 96

2g = 18

g = 18/2

g = 9

3s + 2g = 78

3s + 2(9) = 78

3s + 18 = 78

3s = 78 - 18

3s = 60

3s/3 = 60/3

s = 20

Check: g = 9; s = 20

3s + 2g = 78

3s + 4g = 96

3(20) + 2(9) = 78

60 + 18 = 78

78 = 78

3(20) + 4(9) = 96

60 + 36 = 96

96 = 96

So, the solution is g = 9; s = 20

The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.

Answers

2200 * 0.30 = 660
2200 + 660 = 2860
2860 * 0.50 = 1430
2860 - 1430 = 1430
The final number is 1430

3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit

Answers

The length would be 5 miles

Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75

Answers

Answer: it’s A

Step-by-step explanation: I got it right, hope it helps ✨

The value of the expression  [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]

How to substitute and get the value of an expression?

The expression is as follows:

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]

using law of indices

Hence,

when a = 5, k = -2

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]

Then,

[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]

[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]

[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]

[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]

Therefore, the value of the expression is 25 / 9

learn more on expression here:https://brainly.com/question/12879207

#SPJ5

Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.

Answers

Answer:

The probability of a van getting rented next is 25%.

Step-by-step explanation:

The graph is attached

Probability Formula:

number of favorable outcomes / the total number of outcomes

Given Information:

Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3

Calculations:

number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4

Probability of a van getting rented: 1/4 or 25%

The Sony 55 inch flat screen TV was 45% off at Best Buy. If the TV originally cost $1350.00, how much
was the discount?

Answers

Answer: 742.5

Step-by-step explanation: 45% off of 1350= 742.5

Answer:

$607.50

Step-by-step explanation:

if you take 1350.00and multiply by 45% you will get $607.50

Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2

Answers

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]

#teamtrees #WAP (Water And Plant)

A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?

Answers

Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j

[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

Answer: A. 5.89

Step-by-step explanation:

edge2020

The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x and y?

Answers

Answer:

Step-by-step explanation:

x is positive and y is negative

Answer:

(x,-y)

Step-by-step explanation:

One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8

Answers

Answer:

1.2

Step-by-step explanation:

apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this‍

Help please it’s due in a bit

Answers

Answer:

Options A, C and D are correct ones.

Step-by-step explanation:

Options A, C and D are correct.

There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?

Answers

Answer:

girls: 16

boys: 40

Step-by-step explanation:

girls : boys

2 : 5

let the total number of people be (2+5)x.

2x + 5x = 56

7x = 56

x = 8

therefore, no. of girls = 2 x 8 = 16

no. of boys = 5 x 8 = 40

This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equation in vertex form for this parabola .

Answers

Answer:

              f(x) = 6(x - 2)² + 3

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                      f(x) = 6(x - 2)² + 3

please help and thank you!

Answers

Answer:

Its d i took the class

Step-by-step explanation:

1.)24:56=X:46
A. 18
B. 28
C. 14
D. 24
2.)10:32=25:X
A. 70
B. 80
C. 60
D. 50
3.)18:6=X:11
A. 66
B. 55
C. 22
D. 33
4.)13:169=X:26
A. 10
B. 8
C. 4
D. 2
5.)18:81=22:X
A. 66
B. 55
C. 22
D. 33
6.)X:21=8:12
A. 16
B. 14
C. 21
D. 12
7.)7:X=6:36
A. 22
B. 42
C. 44
D. 20
8.)110:X=45:9
A. 22
B. 42
C. 44
D. 20
9.) 52:12=X:48
A. 208
B. 200
C. 100
D. 108
10.)6:12=17:X
A. 34
B. 33
C. 23
D. 24

Answers

Answer:

what's the question???/

Step-by-step explanation:

7x – 3y = 42
solve for x when y = 0
solve for y when x = 0

Answers

Step-by-step explanation:

y=0

7x-3*0=42

7x=42

x=42/7=6

x=0

7*0-3*y=42

-3y=42

y=-42/3=-14

Answer:

y=-14, x= 6

Step-by-step explanation:

From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate?

Answers

Answer:

D.

Step-by-step explanation:

to prove congruency of two triangles, you need two congruent sides and one congruent angle

in this case we are given exactly that, 2 sides and one angle that is congruent

we would also need to make sure that the given sides and angles are actually congruent, and not mismatched

we can do this by looking at the positions of the letters in each congruency statement

for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched

if you do this with every statement that you are give, you can see that the triangles can be proven by SAS

which of the following is NOT a root of x (x+3)(x-1)(2x+1)= 0
i. 0
ii. -3
iii. -1
iv. 1/2

A. i only B. iv only
C. i and ii only
D. iii and iv only​

Answers

Answer:

The answer is A only i. (0)

Answer:

D

Step-by-step explanation:

Given

x(x + 3)(x - 1)(2x + 1) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus

x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots

Hence

111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D

can someone help with 2.7 please, step by step for better understanding pls, it’d be much appreciated... i don’t have much points left to ask for more help :(

Answers

56 mm = 5.6 cm since there are 10 mm in a cm, so we divide by 10 to go from mm to cm.

Since the diameter is 5.6 cm, this means 12 such cans lead to 12*5.6 = 67.2 cm of length needed to house 12 cans along this row.

Similarly, if we had 6 cans along each column, then 6*5.6 = 33.6 cm is needed for this

The diagram below shows what I mean. This diagram is a top-down view of the box. In other words, it's a birds-eye view.

The last dimension we need to take care of is the height of the box. That would be 2*5.6 = 11.2 cm since there are 2 cans along the height

Therefore, the smallest box possible has dimensions of 67.2 cm by 33.6 cm by 11.2 cm

You could have bigger boxes of course, though you'll need to place cushions inside so the cans don't rattle around. The smallest box dimensions listed above are ideal to avoid wasting too much cushion material (you'll still may need some form of cushion though just not as much).

Is f(x)=6x2-13 one to one function? Show with full process
Please answer my question and you will mark as Brainly

Answers

Answer:

It is not a function thats all I know sry

Step-by-step explanation:

help please! Thanks!

Answers

answer: 2/3
1/3 * 2= 2/ 3

Answer:

2/3

Step-by-step explanation:

the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.

Fie A(-1,2) B(3,-1) C(4,-1)
a)Determinati ecuatia carteziana a dreptei AB
b)lungimea medianei din punctul C a triunghiului ABC
c) Sa se afle coordonatele vectorului AB
Helpp plssss

Answers

do you mind rephrasing it in english

will

Do u mind doing this in English

Which trigonometric identity is given by the formula adjacent side/opposite side?

A. tan
B. cot
C. sin
D. cos

Answers

Answer:

cot= adjacent side/opposite side

Option B is correct.

Step-by-step explanation:

We need to identify trigonometric identity which is given by the formula adjacent side/opposite side

The trigonometric identity for tan is

tan=  opposite side/adjacent side

But We are given adjacent side/opposite side

Since cot is inverse of tan so, formula of cot is:

cot= adjacent side/opposite side

Option B is correct.

What is the solution to this equation
-4x + 2 = 26

Answers

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

PLEASEEE HELPPP I NEED THIS TODAY!!​

Answers

Answer:

you can look up these online it will give u the diagram and u can put it in on calculators I used to do that

A ≈ 452.39

Hope you get a good grade

Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?

Answers

Answer:

nile blue should be the correct answer

Step-by-step explanation:

should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?​

Answers

Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

Given that polygon ABCD≅ polygon EFGH, identify the congruent corresponding part for CD¯¯¯¯¯.

Answers

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item

Answers

Answer:

A belt costs $15 and a wallet costs $27.

Step-by-step explanation:

Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:

x + y = $42

7x + 4y = $213

The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:

-4x - 4y = -168

7x + 4y = 213

Now, we simply add these two equations up:

-4x - 4y + 7x + 4y = -168 + 213

3x = 45

x = $15

Now, we plug in x into any of the two starting equations to find y:

x+y=42

15 + y = 42

y = $27

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