A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each and the total cost for 10 people was 62.how much children were in the group

Answers

Answer 1

9514 1404 393

Answer:

  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

_____

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3


Related Questions

What is the measure of angle AXG

Answers

Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

i will give Brainiest if you are right

Answers

Answer:

G

Step-by-step explanation:

G. Plug in x=5 to    x-2<7

which becomes

5-2<7

3<7

which is correct.

Hope This Helps!

G if you plug in 5 as x it is the only one that is correct

HELP
Which Trig ratio should be used to find the missing side?


A.Sin

B.Cos

C.Tan

Answers

Answer:

It's Cos again.

Thumbs-up

Which one is correct?

Answers

Answer:

D. 6 bags

Step-by-step explanation:

Answer:

The answer is 4 bags

Benjamin has 10 marbles in a bag. 4 are red, 2 are blue, 3 are green, and 1 is yellow.

Part A: What is the probability of drawing a color other than blue?

Part B: You draw two marbles with replacement. What is the probability of drawing a red, then a blue?

Part C: What is the probability that you draw a yellow and then draw a red without replacement?

Answers

Answer:

A)  4/5

B)  2/25

C)  2/45

Step-by-step explanation:

A) P(not blue) = 8/10 or 4/5

B) P(red,blue) = 4/10 x 2/10 = 2/25

C) P(yellow,red) = 1/10 x 4/9 = 2/45

I GIVE YOU 50 points for this question!



3000 dollars is invested at 5% pa (per year). Simple interest for 4 years. Find the total


Amount of interest


and


value of the investment

Answers

Answer:

easy what's 5% of 3000 that's just for one year then multiple it by 4

3000(1+0.05)^4 put that into your calculator and it will give you the answer

A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?

Answers

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

The figure shows a vertical section through the
axis of a solid paper weight made in the shape of a right circular cone. Its height is 8 cm and the diameter of its base is 4 cm. The shaded portion is made of lead 2 cm thick while the unshaded portion is made of wood. The density of lead and wood are 11.3 g/cm and 0.9 g/cm respectively.

Find,
(i) the total volume of the paper weight,
(ii) the volume of the wooden portion,
(iii) the total mass of the paper weight.​

Answers

Answer:

i. 33.51 cm³

ii. 14.14 cm³

iii. 231.61 g

Step-by-step explanation:

(i) the total volume of the paper weight,

Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm

So, V = πD²h/12

V = π(4 cm)² × 8 cm/12

V = 16π cm² × 8 cm/12

V = 128π cm³/12

V = 402.124 cm³/12

V = 33.51 cm³

(ii) the volume of the wooden portion,

The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion

From similar triangles in the figure, we have

height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r

h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm

and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm

So,

r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm

So, V' = πr'²h'/3

V' = π(1.5 cm)² × 6 cm/3

V' = π2.25 cm² × 2 cm

V' = 4.5π cm³

V' = 14.14 cm³

(iii) the total mass of the paper weight.

The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³

So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³

m = 12.726 g + 218.881 g

m = 231.607

m ≅ 231.61 g

The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?

a bar graph
a circle graph
a histogram
a line graph

Answers

Answer:

Question?

Step-by-step explanation:

?

Bar Graph

Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.

question 1. The sticker price of a picture frame is $10 and the sales tax is 10%. What is the total price of the picture frame?

question 2. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. What is the total price of the soccer ball?

question 3. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. If I bought 3 soccer balls, what is the total price paid including tax?

!NO EXPLANATION NEEDED! just need all of these answered!

Answers

Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57

Which shows all the factors pairs of 45? O A. 4,5 B. 5,9 O C. 1,45 5,9 D. 1,45 3, 15 5,9 O E. 1,45 3, 15 4,5 5,9​

Answers

Answer:

D

Step-by-step explanation:

8x + 7 = 6x + 15
what is x

Answers

Answer:

x = 4

Step-by-step explanation:

i am smart

Answer:

X=4

Step-by-step explanation:

Simplifying

8x + 7 = 6x + 15

Reorder the terms:

7 + 8x = 6x + 15

Reorder the terms:

7 + 8x = 15 + 6x

Solving

7 + 8x = 15 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

7 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x

7 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

7 + 2x = 15 + 0

7 + 2x = 15

Add '-7' to each side of the equation.

7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = 15 + -7

2x = 15 + -7

Combine like terms: 15 + -7 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying.                Hope this helps :D

x = 4.                              Plz brainly and like

Given that f(x)=x^3, which equation describes the graph of function g?

a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3​

Answers

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16

Answers

Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas

answer : attached below is the pareto chart.

Step-by-step explanation:

      Rearranged table starting from highest frequency

The type of Nonconformity                             Frequency      Percentage

     Heel separation                                               92                   40.89

     sole penetration                                              60                     26.67

       Sole separation                                              36                     16

       Other                                                               16                      7.11

      Lace breakage                                                13                       5.8

     Eyelet failure                                                      8                      3.5

   

Total = 36 + 13 + 92 + 8 + 60 + 16 = 225

Next step : determine the percentages of the various Nonconformity

sole separation = 36 / 225 ) * 100 = 16%

lace breakage = ( 13/225 ) * 100 = 5.8% = 6%

Heel separation = ( 92/225 ) * 100 = 40.89% = 41%

Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%

sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%

other = ( 16 / 225 ) * 100 = 7.11% = 7%

Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot

Question #1
Correct answer is E,
show steps

Answers

Unfortunately, doing this kind of problem by hand would take a very long time. So I recommend using a graphing calculator. Specifically, one that can handle numeric integration. You'll need to find the area under the curve from t = 0 to t = 3. This will tell you the change in velocity during the time period from t = 0 to t = 3 seconds. You should find that

[tex]\displaystyle \int_{0}^{3}\frac{t+3}{\sqrt{t^3+1}}dt \approx 6.71005[/tex]

If you want to do this by hand, you can use Riemann rectangles to break up the area and find the area of each rectangle. Though use of a calculator is recommended here as well.

This result will add onto the initial velocity of 5 to get a final approximate result of 5+6.71005 = 11.71005 which rounds to 11.710

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Can y’all please help me?!

Answers

Answer:

10.5, 31.5,  and 6.

Step-by-step explanation:

So to find the answers here, we must find the  value of t, when h equals 1.

To do this, lets take a h-t value we already know, and solve.

We can use: when h=2 t equasl 21:

2h=21t

So if we divide both sides by two we get:

2h/2=21t/2

=

h=10.5t

So know we know for every one h, t is 10.5

This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t

So now that we have a value for t, lets get our solutions.

First off, we have 1h=__t?

Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t

Next up, we have 3h=___t

All we have to do it multiply 10.5 by 3 to solve this:

10.5*3

=

31.5

So this is our second fill in answer.

Finally we have ___h=63t

We must divide both sides by 10.5, which is equal to 1t, to find this answer:

63/10.5

=

6

So our last fill in answer is 6.

Hope this helps!

The figure shown is created by joining two rectangles.
(picture will be shown)

enter the area, in the square inches, of the figure

Answers

Answer:

1375 square inches

Step-by-step explanation:

Area= Length × Width

15in×75in=1125in

25in×10in=250in

250in + 1125in= 1375square inches


Someonee can u tell ne​

Answers

Answer:

35

Step-by-step explanation:

i did the sqrt of 1225 and got 35 so there should be 35 rows each with 25 plants

In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?

30

60

90

45

Answers

Answer:

30 Step-by-step explanation:

Answer:

Its 60

Step-by-step explanation:

I took the test

PLEASE HELP I WILL GIVE BRAINLIEST!!!

Answers

wooooooooooooooooooooooooooooooo :>

thor peeled 14 oranges every 21 hours. at this rate, how many would he peel in 9 hours?

Answers

Answer:

13.5

Step-by-step explanation:

14 oranges in 21 hour translates to:

3/2 oranges per hour.

So, in 9 hours thor can peel 13.5 oranges.

Use the quadratic formula to solve for x.
4x²–5x-2 = 0

Answers

The answer is for the formula


What is the circumference of circle P in terms of pi (3.14)

A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm

Answers

I got B if this is right mark as brainliest :)

Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?

Answers

9514 1404 393

Answer:

  (3, 2)

Step-by-step explanation:

Reflection across y=x swaps the coordinates:

  (x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

  (x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

  (x, y) ⇒ (y/2, x/2)

  (4, 6) ⇒ (3, 2)

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32

12 and 18

32 and 64

40 and 60

14 and 41

Answers

Answer:

i think the answer is 12 and 18

The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?

Answers

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

I need help!!! Please

Answers

Answer:

A

Step-by-step explanation:

Need some help with this one.

Answers

Answer:

Cylinder A: 3.58 m^3,  cylinder B: 8.72 m^3, cylinder B has the greater volume

Step-by-step explanation:

Volume of a cylinder  [tex]V=\pi r^2h[/tex]  r is the radius, h is the height.

Cylinder A:  The circumference is given,  C = 3.  Circumference is found by the formula [tex]C=2 \pi r[/tex].  Replace C with 3 and solve for r so it can be used in the volume formula.

[tex]3=2\pi r\\3=2(3.14)r\\3=6.28r\\r=3 \div 6.28 \approx .4777[/tex]

Volume:  [tex]V=(3.14)(.4777)^2(5) \approx 3.58[/tex]  cubic meters

Cylinder B:

[tex]C=2\pi r\\5=2(3.14)r\\r=5 \div 6.28 \approx .7962\\\\V=\pi r^2h\\ V=(3.14)(.7962)^2(3) \approx 8.72[/tex]  cubic meters

To make 1000 containers of ice cream you need: 600 units of milk, 275 units of cream, and 120 units of flavor. Each ingredient is contained in tanks like the ones pictured below. Note the capacity of each container. Adjustments to one ingredient must be followed by corresponding adjustments to the other ingredients. If the pump on the milk tank pumps milk out at a rate of 50 units per minute, how long would it take to empty the 1000 unit milk tank

Answers

Answer:

It will take 20 minutes to pump out 1000 unit milk tank

Step-by-step explanation:

The pump on the milk tank pumps milk out at a rate of 50 units per minute,

1 minute = 50 units

x minutes = 1000 units

Using the  unitary method x= = 1000*1/50=  20 minutes

It will take 20 minutes to pump out 1000 unit milk tank

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