A total of 190 people attended the opening night of a school
musical. Student tickets cost $4.50 each while general
admission tickets cost $6 each. If total sales were $996, how
many general admission tickets were sold?

Answers

Answer 1

Answer:

94

Step-by-step explanation:

x=student tickets y=general admission

We can write the two following equations

x+y=190

4.5x+6y=996

I am going to solve this through substitution

We first need to get a variable by itself

x+y=190

x-190= -y

-x+190=y

We can plug this value in for y into the second equation

4.5x+6(-x+190)=996

4.5x-6x+1140=996

-1.5x= -144

x=96

Now that we know that x=96 we can plug this value into any of the two beginning equations and solve for y

96+y=190

y=94


Related Questions

4. The table below shows how much water is needed compared to flour, in a given recipe. What is
the ratio of flour to water (in simplest form)?
Flour (cups).
6
9
10
12
Water (cups)
2.
3
3 1/3
4

Answers

Answer:

1 to 3

Step-by-step explanation:

because if you were to divide by 2 you would get your base number 1 that is simplest form

Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?

Answers

Answer: 6/8

Step-by-step explanation: this is the answer

What was Dakota’s height?

Answers

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Dakota height is 5’4 i believe. If not my bad

The ratio of Miles to Minutes is 3:1. How many minutes would it take to go 12 Miles

Answers

Answer:

4 minutes

Step-by-step explanation:

Miles to Minutes = 3:1

Miles to Minutes = 12:?

12/3=4

Miles to Minutes = 12:(1x4)

Miles to Minutes = 12:4

Miles = 12

Minutes = 4

Factor the expression completely.
18x2 - 32

Answers

the answer would be 2(3x+4)(3x-4)

WILL MARK BRAINLYIST

Answers

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

Answer: The person up their is correct

D = 45 and C = 26

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

https://magoosh.com/math/how-to-find-the-measure-of-an-angle/

:D that's where I got my information pls mark me brainlyist

Write 125 as a fraction
reduced to lowest terms.

Answers

Answer:

1/8

Step-by-step explanation:

.125 * 1000 = 125
—> 125/1000

Divide by 25:
5/40

Divide by 5:
1/8

Every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance. Information about the top three racers is
listed below.
• Aaron completed half the race in approximately 4 days, 12 hours.
• Dallas finished the race in approximately 8 days, 18 hours.
• Mitch completed one-quarter of the race in approximately 2 days, 5 hours.

Answers

Answer:

Aaron completed the race in 9 days.  Mitch finished in the race in 8 days 20  hours. Dallas finished in 8 days 18 hours

Step-by-step explanation:

1. Dallas won the race. 8 days 18 hours

2. Mitch came in second. 2 days 5 hours x 4= 8 days 20

3. Aaron was 3rd. 4 days 12 hours x 2= 9 days

Determine which is the better buy
1 kilogram of bananas for $2.06 or 4 kilogram of bananas for $7.48
PLZ EXPLAIN PLZ

Answers

Answer: 4 kilograms of bananas for $7.48

Step-by-step explanation:

Unit price for 1 kilo= $2.06

2.06 x 4 = 8.24

Unit price for 4 kilo= $1.87

2.06 > 1.87

So, 4 kilograms of bananas is the better buy.

Simple form:

Answer 1: 2.06

Answer 2: 1.87

Answer 3: greater than

Answer 4: 4 kilograms of bananas for $7.48

an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression that represents the total cost a Frank's DVDs ​

Answers

10d + 5.50 = x (the total cost)

What’s the distance between -1/2 and 5/4 ?

Answers

Answer:

-1.75

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

5/4-(-1/2)

5/4+1/2

5/4+2/4

7/4

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30

Answers

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

Explain why the equations X - 13 = 4 and 13 - X = 4 do NOT have the same solution.

Answers

Answer:

they have different answers

Step-by-step explanation:

X - 13 = 4 and 13 - X = 4

for x- 13 = 4

x=4+13=17

x=17

for 13 - x = 4

13-4-x=0

9-x=0

9=x

x=9

et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

Answers

Answer:

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Step-by-step explanation:

Step(i):-

Mean of the Population = 191.8 ft

Standard deviation of the Population = 4 ft

Let 'X' be the random variable in normal distribution

X = 182.2 feet

[tex]Z = \frac{x-mean}{S.D}[/tex]

[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]

Step(ii):-

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = P( z≤ -2.4)

                =  1-P(z>2.4)

                = 1-(0.5 + A(2.4))

              =  0.5 - A(2.4)

             = 0.5 - 0.4918

            = 0.0082

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

jack donates $X per month to charity. Ta the end if 10 months, he had 1250 donated in total. How much did he donate each month

Answers

Answer:

He donated $125 per month.

Step-by-step explanation:

$1250 divided by 10 months to figure out how much he payed each month.

Help and i will give brainiest if you answer them all if random will report

Answers

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Answer:

thank you very much

Step-by-step explanation:

thank you

The circumference of a circle is 7xm.
What is the area of the circle?
A. 3.57x m²
B. 12.257x m2
C. 147xm2
D. 497xm2

Answers

Answer:

A = 3.57 m²

Step-by-step explanation:

Given that,

The circumference of a circle is 7xm.

The expression for the circumference of a circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{7}{2\times \dfrac{22}{7}}\\\\r=1.11\ m[/tex]

The area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times (1.11)^2\\\\A=3.89\ m^2[/tex]

Out of given option,

A = 3.57 m²

So, the area of the circle is 3.57 m².

Please help me find the surface area of this shape!

Answers

the surface area would be 325 !!!

Which fraction represents the shaded part of the grid?

Answers

Answer:

where the heck is the pic?

Step-by-step explanation:

Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters

Answers

Cool nothing for me to answer

(4 + [8 = 4 X (3 - 1)] X 3) + 1

Answers

Answer:

29

Step-by-step explanation:

(4+[8=4x(2)]x3)+1

(4+[8=8]x3)+1

(4+[8x3])+1

(4+24)+1

28+1

29

Which of the following is the smallest element in the set of natural numbers?
-1
O 1
There is no smallest element; the set is infinite.
0

Answers

Answer:

your answer would be 0 mark as brainliest

Which table represent a linear function? Pic attached and I will mark Brainly

Answers

Answer:

3 one

Step-by-step explanation:

seems logical hope this helped

Ten people in a room have an average height of 66 inches. An 11th person, who is 77
inches tall, enters the room. What is the average height of all 11 people in inches?

Answers

(66*10)+77
660+77
737
737/11
67 inches is the answer

Round to the nearest hundredth 54.19765

Answers

Answer:

54.20

Step-by-step explanation:

When you round you look at the number to the right of the number you're rounding. So you look at the 7. If it is larger than five (in this case it is) you round the number up.

54.20 hope you get a good grade

The _____ in the hundreds place has a value ____ times as great as the _____ in the _____ place. 440

Answers

Answer:

The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.

Step-by-step explanation:

440 = 400 + 40 + 0

the hundreds place is worth 400 here

it is worth 10x the tens place (40 here)

Translate the folowing sentence into a equation. The quotient of a number and -2, less 10, is-18

Answers

Answer:

x + (-2) - 10 = -18

Step-by-step explanation:

A family-size pizza is $32 and costs 4 times as much as a small pizza. Steve buys two family-size pizzas and 4 small pizzas. How much does he spend in all?
A. $64
B. $86
C. $80
D. $96

Answers

The answer is D your welcome

I WILL GIVE BRAINLIST IF SOMEONE ANSWAR CORRECTLY WITH EXPLINATION

Answers

Answer:

x=0,5

Step-by-step explanation:

x = 3/2 , -1

y= 4/3 , -1/3

please help me am I. troubles​

Answers

Answer:

[tex] \frac{ {x}^{2} }{y(x - y)} + \frac{ {y}^{2} }{ - x(x - y)} [/tex]

[tex] \frac{ {x}^{2} }{y(x - y)} - \frac{ {y}^{2} }{x(x - y)} [/tex]

[tex] \frac{ {x}^{2} \times x - {y}^{2} \times y}{xy(x -y)} [/tex]

[tex] \frac{(x - y)( {x}^{2} + xy + {y}^{2}) }{xy(x - y)} [/tex]

[tex] \frac{ {x}^{2} + xy + {y}^{2} }{xy} [/tex]

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