A play was attended by 348 people,some adults and some children. Admissions for adults was $1.50 and for children 75 cents. The total amount collected was $390. How many adults attended the play?

Answers

Answer 1

Answer:

172

Step-by-step explanation:

Let adults be x

and children be y

According to the problem,

x + y = 348              . . . (1)

1.5x + 0.75y = $390. . . (2)

From Eq 1, find the value of x:

x = 348 - y

Put this value in Eq 2:

1.5 ( 348 - y ) + 0.75y = 390

522 - 1.5y + 0.75 y = 390

-1.5y + 0.75y = 390 - 522

-0.75y = -132

y= -132/-0.75

y = 176

Put the value of y in Eq 1

x  + 176 = 348

x = 348 -1 176

x = 172

No. of children = 176

No. of adults = 172


Related Questions

Can you help me?! I would really appreciate it

Answers

Answer:

(3 , 8)

Step-by-step explanation:

Answer:

(3,8)

Step-by-step explanation:

the pattern of an ordered pair is (x,y). If x=3, and y=8, then you would get (3,8).

Write an exponential function =for a graph that passes through (2,1) and (3,10). Ill give you whatever please help

Answers

Answer:

[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]

Step-by-step explanation:

Use coordinates (2,1) and 3,10

The exponential equation is

[tex]y = a \times b {}^{x} [/tex]

Plug in the x and y values.xfor both functions of coordinates.

[tex]1 = a \times b {}^{2} [/tex]

[tex]10 = a \times b {}^{3} [/tex]

Divide the equation with the larger exponet by the other equation.

[tex]10 = b[/tex]

Substitute that in for one of the equations.

[tex]10 = a \times 10 {}^{3} [/tex]

Solve for a.

[tex]10 = a \times 1000[/tex]

[tex] \frac{1}{100} = a[/tex]

So our exponetial equation is

[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]

Can Someone Help REAL QUICK Me. ? Please

Answers

Answer: Option 3

Step-by-step explanation:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

I hope this helps.

Which scenario could be represented by the algebraic expression n minus 13? Ariel wants to find the difference of a number and 13. Ariel wants to find the product of 13 and a number. Ariel wants to find the sum of a number and 13. Ariel wants to find the difference of 13 and a number. HELPPPPP

Answers

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

a

Step-by-step explanation:

What is the mean absolute deviation if the mean is 15 and the majority of the data falls between 5 and 25

Answers

Don’t listen to these people thet tell you to open this file it’s a scam

In this experiment researchers randomly assigned smokers to treatments. Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day. Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day. Calculate the estimated standard error for the sampling distribution of differences in sample proportions.

Answers

Answer:

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Step-by-step explanation:

To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances:

Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day.

This means that:

[tex]p_S = \frac{29}{193} = 0.1503[/tex]

[tex]s_S = \sqrt{\frac{0.1503*0.8497}{193}} = 0.0257[/tex]

Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.

This means that:

[tex]p_A = \frac{82}{266} = 0.3083[/tex]

[tex]s_A = \sqrt{\frac{0.3083*0.6917}{266}} = 0.0283[/tex]

Calculate the estimated standard error for the sampling distribution of differences in sample proportions.

[tex]s = \sqrt{s_S^2 + s_A^2} = \sqrt{0.0257^2 + 0.0283^2} = 0.0382[/tex]

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

5.
Convert each of the following fractions to a decimal using long division.
13
32
A.
B.
0
8

Answers

wait i don’t understand how they are fractions. lmk

I NEED HELP LIKE ASAP PLS!!!!

Answers

Answer:

formula 3 only

Step-by-step explanation:

formula for the are of a circle is [tex]A=\pi r^{2}[/tex]

the other 2 formulas are the ones for circumference

-0.5
0
1
-2
1.5
Where is Point D on the number line?
?

Answers

Answer:

Its -1.9 for where point D is

-1.9 is where Point D is

Can someone please help me find the area.

Answers

Answer:

51 ft²

Step-by-step explanation:

The figure is composed of two different triangles (triangle 1 and 2) and a rectangle

Area of the composite figure = area of triangle 1 + area of triangle 2 + area of rectangle

✔️Area of triangle 1 = ½*bh

b = 3 ft

h = 2 ft

Area of triangle 1 = ½*3*2 = 3 ft²

✔️Area of triangle 2 = ½bh

b = 3 ft

h = 3 ft

Area of triangle 2 = ½*3*3 = 4.5 ft²

✔️Area of rectangle = L*W

L = 3 + 8 = 11 ft

W = 4 ft

Area of rectangle = 11*4 = 44 ft²

✅Area of the composite figure = 3 + 4 + 44

= 51 ft²

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!

I just need someone to do this for verification of my work:


What is the volume of the composite figure if both the height and the diameter of the cylinder are 2.5 feet? Give the exact answer and approximate to two decimal places.

Answers

Answer:

16.36ft³

Step-by-step explanation:

First find the volume of the cylinder the add to the volume of the hemisphere.

I hope this helps.Its a trial btw feel free to delete if its not right lmmao

Answer:

16.36 ft3

Step-by-step explanation:

Volume of a Cylinder

V= π  r2 h

π • 1.253 • 2.5 = 12.27ft3

Volume of a Hemisphere

2 • π • 1.253

​2 • π • 1.95

12.26 /3 = 4.09 ft3

Both

4.09 ft3 + 12.27 ft3 = 16.36 ft3


I need a little help. Stuck in the problem in khan academy and can’t really find and answer. 6 x 4 + 2 x 9/3

Answers

Answer:

the answer is 30

Step-by-step explanation:

1: (6*4)+(2*9/3)

2: (6*4)+(2*3)

3: 24+6

4: 30

Answer:

30

Start by multiplying then dividing

what is the area of the side of this house?

Answers

Answer:

25

Step-by-step explanation:

HELPPPPP plssssssssss

Answers

do you even put attention in class or the teacher not showing shi but alright the answer is x=0

the answer is x=0 this was really easy but I understand it’s kinda hard at the same time! hope the answer is right

NEED ASAP
The dot plots below show the scores for a group of students who took two rounds of a quiz: Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 5 to 9 on the line at intervals of one. There are 2 dots above the mark 5, 3 dots above the mark 6, 4 dots above the mark 7, and 1 dot above the mark 8. For the bottom dot plot there are 6 dots above the mark 6, 2 dots above the mark 8, and 2 dots above the mark 9. Which of the following inferences can be made using the dot plot? The range of each round is the same. There is no overlap between the data. Round 1 scores were higher than round 2 scores. Round 2 scores were lower than round 1 scores.

Answers

Answer:

It D

Step-by-step explanation:

k

Answer:

d

Step-by-step explanation:

Find the area of the triangle. Enter your answer in the box.

Answers

9514 1404 393

Answer:

  168 mm²

Step-by-step explanation:

The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.

  A = 1/2bh

  A = 1/2(14 mm)(12 mm)

  A = 84 mm²

The area of the triangle is 84 square millimeters.

Answer:

84 whoop lololol

Step-by-step explanation:

84 mm power 2

Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??

Answers

9514 1404 393

Answer:

  (8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

__

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

__

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

__

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

  y = 0.50x -3

  y = 0.25x -1

  0.50x -3 = 0.25x -1 . . . . . substitute for y

  0.25x = 2 . . . . . . . . . . . add 3-0.25x

  x = 8 . . . . . . . . . . multiply by 4

  y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

  (hats, profit) = (8, 1)

Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?

Answers

hi

price  all taxes included is :  9.99 + 0.03*9.99  ≈ 10.29

So change is :  11 - 10.29 = 0.71

Answer:

acualy you would divide 9.99 by 3

PLEASE HELPPO?!!!! Look at the attachment below

Answers

Answer:

157

Step-by-step explanation:

just trust me bro

What is 5/6 of 1/2 on a number line

Answers

Answer:

5/12

Step-by-step explanation:

5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.

1) A basket contains six apples and five
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
The first piece of fruit is an apple and the
second piece is a peach.
A) Dependent B) Independent
HE
FEN

Answers

Step-by-step explanation:

are you sure that math cauz that looks difficult or maybe its the fact that I'm in the 4th grade

0) 9 deliveries in 3 hours deliveries in 1 hour Submit​

Answers

Answer: 3 delivers an hour

Step-by-step explanation:

9/3=3

The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.

Which expression represents the distance around the composite figure

A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx​

Answers

Answer:

A)  6x + 2πx

Step-by-step explanation:

left side of figure = 4x

top and bottom flat portion of figure = 2x

2 semi-circles with radius of x is equal to 1 full circle with diameter = 2xπ

distance around = 4x + 2x + 2xπ or 6x + 2πx

g The pH measurements of water specimens from various locations along a given river basin are Normally distributed, with mean 8 and standard deviation 0.3. You take water specimens from four randomly selected locations on this river basin. What is the probability that the mean pH measurement of these four specimens is greater than 8.2

Answers

Answer:

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8 and standard deviation 0.3.

This means that [tex]\mu = 8, \sigma = 0.3[/tex]

Sample of 4:

This means that [tex]n = 4, s = \frac{0.3}{\sqrt{4}} = 0.15[/tex]

What is the probability that the mean pH measurement of these four specimens is greater than 8.2?

This is 1 subtracted by the pvalue of Z when X = 8.2. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{8.2 - 8}{0.15}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Enter the phrase as an algebraic expression.

the product of 38 and g

Answers

Answer:

38g

Step-by-step explanation:

Product means multiplication so:

The product of 38 and g is 38g

Find the area of the trapezoid 10ft, 7.5ft, and 13.5ft

Answers

If I use 7.5 and 13.5 as the bases and 10 as the height, the area is 105

EXPLANATION:
1/2h x sum of bases
1/2(10) x (7.5 + 13.5)
5 x 21
105

ANSWER:
105

Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?

Answers

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

pls help me giving brainless.​

Answers

Answer:

five and three ninths

six and seven tenths

nine and one fifth

If 25% is 14, what is 100%?

Answers

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

An ice cream come has the following dimensions. What is the amount of ice cream you can fit inside the cone...
Diameter: 3 inches
Height: 6 inches

Answers

Step-by-step explanation:

Volume = 42.39

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