a movie theater charges $8 for adults and $5 for children. If there were 40 people altogether and theater collected $272

Answers

Answer 1

Answer: You can put this solution on YOUR website!

let's call the number of adults a and the number of children c.

so the total adults plus the total children equals 40 or a+c=40 or c=40-a

also we know that 8a+5c=272

substituting c's value in the 1st equation into the 2nd equation we get

8a+5(40-a)=272---->lets distribute that left side---->8a+200-5a=272

now let's combine like terms on either side of the equals sign.

3a=72 a=24

so we have highlight%2824-adults%29

and c=40-a(24)=highlight%2816-children%29


Related Questions

Can 14,18 and 19 form a triangle?

Answers

Answer:

Yes

Step-by-step explanation:

Using the triangle formula: a+b>c , b+c>a , and c+a>b, we can conclude that these values can form a triangle because 14+18>19 , 14+19>18 , and 18+19>14.

Answer:

To confirm if this can form it, we take the lower of the two numbers , square them, and equal it to the biggest number squared. (AKA The Pythagorean Theorem).

Step-by-step explanation:

[tex]14^{2} +18^{2} = 19^{2}[/tex]

Now solve to see if it equates to be true.

196 + 324 = 361

520 [tex]\neq[/tex] 361

That means 14, 18, and 19 can't form a triangle.

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.

a)Triangle ABC is a scaled copy of triangle DEF with what scale factor?

b)Triangle DEF is a scaled copy of triangle ABC with what scale factor?

Answers

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66


What did philosophical pig say?
(Geometry Version)

Answers

Answer:

A: m<BOD = 95°

O: m<AOC = 75°

R: m<AOD = 113°

T: m<GUH = 61°

M: m<GUI = 92°

E: m<EUF = 37°

F: m<EUI = 160°

K: m<MAN = 30°

I: m<LAM = 40°

S: m<KAM = 80°

H: m<JAN = 140°

N: m<KAN = 110°

✅I STINK THEREFORE I HAM

Step-by-step explanation:

A: m<BOD = 57° + 38° = 95°

O: m<AOC = 18° + 57° = 75°

R: m<AOD = 18° + 57° + 38° = 113°

T: m<FUG = 31°, since, FUG ≅ HUI, therefore, m<HUI = 31°

m<FUI = 123°

m<GUH = m<FUI - (m<FUG + m<HUI)

m<GUH = 123° - (31° + 31°)

m<GUH = 61°

M: m<GUI = m<GUH + HUI

m<GUI = 61° + 31°

m<GUI = 92°

E: m<EUH = 129° (given)

m<EUF = m<EUH - (m<FUG + m<GUH)

m<EUF = 129° - (31° + 61°)

m<EUF = 37°

F: m<EUI = m<EUF + m<FUG + m<GUH + m<HUI

m<EUI = 37° + 31° + 61° + 31°

m<EUI = 160°

K: since <JAK ≅ <MAN, and m<JAK is given as 30°, therefore,

m<MAN = 30°

I: m<JAM = 110° (given), m<JAK = 30° (given)

Since <KAL ≅ <LAM, therefore,

m<LAM = ½(m<JAM - m<JAK)

m<LAM = ½(110° - 30°)

m<LAM = 40°

S: m<KAM = m<KAL + m<LAM

Since <KAL ≅ <LAM, therefore,

m<KAM = 40° + 40°

m<KAM = 80°

H: m<JAN = m<JAK + m<KAL + m<LAM + m<MAN

m<JAN = 30° + 40° + 40° + 30°

m<JAN = 140°

N: m<KAN = m<KAL + m<LAM + m<MAN

m<KAN = 40° + 40° + 30

m<KAN = 110°

Place the letters on the appropriate lines given to match the angle measure we've cakcukated, to figure out the joke.

✅We would have:

I STINK THEREFORE I HAM

solve 7x -2 + 10x + x + 6x

Answers

Let's simplify step-by-step.

7x−2+10x+x+6x

=7x+−2+10x+x+6x

Combine Like Terms:

=7x+−2+10x+x+6x

=(7x+10x+x+6x)+(−2)

=24x+−2

Answer:

=24x−2 <----

Answer:

probably 24x-2

Step-by-step explanation:

combine like terms

Please who ever gets right gets brainliest to

Answers

Answer:

The Trench or The Mariana Trench is the deepest part of the ocean.

Answer:

B) trench

Step-by-step explanation:

The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

help me please in this problem

Answers

I think it’s 12.67 I’m not so sure

PLEASE HELP ME! WILL MARK BRAINLIST!!!!

Answers

Answer:

Yes, {9,−1,−2,−4},{9,−1,−5,5}

Step-by-step explanation:

Since there is one value of y for every value of x in ((9,9),(−1,−1),(−2,−5),(−4,5)), this relation is a function. The relation is a function.

The domain is the set of all the values of . The range is the set of all the values of

y.Domain:{9,−1,−2,−4}Range:{9,−1,−5,5}

<3

How long is 10% of a 2,000 kilometer trip

Answers

Answer:

200 kilometers

Step-by-step explanation:

10% is the same thing as 1/10 and 2000x1/10 is 200

I need help with this problem​

Answers

Lin and Lin hope this helpssssss

H = (0.24)I^2Rt, solve for R.​

Answers

Answer:

Step-by-step explanation:

1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5

Answers

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = [tex]\frac{5}{8}[/tex]

 Slope of ST = [tex]-\frac{8}{5}[/tex]

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

Bert is saving money to buy a new phone that costs $153.66, including tax. He does yard work around his neighborhood to earn money. He charges $9.85 per hour.

Part B:

How many hours will Bert have to work to earn enough money to buy the phone?

Answers

Answer:

4.57

Step-by-step explanation:

Simplify the following expression (3x-5)(4-9x)+(2x+1)(6x^2+5)

Answers

Expand out the brackets and simplify, largest indices first.
12x³-21x²+67x+30

What is the solution to the equation 23(y−6)=−(y+2)+1 2 3 ( y - 6 ) = - ( y + 2 ) + 1 ?

Answers

Answer:

Substitute the given value into the function and evaluate.

23 (y − 6) = −(y + 2) + 1 = y = 137/24

2 = y = 137/24

3 = y = 137/24

y − 6 = −(y + 2) + 1 = y = 5/2

So far this month Raul calculated that he will earn $30 in commission for his $200 in product sales. If Raul would like for his commission to be $132, how much MORE does he need in sales?


a. $102

b. $880

c. $588

D. 680

Answers

Answer:

D. 680

Step-by-step explanation:

Please answer the question in the picture

Answers

The answer is A and C

5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40
hours. What was Veronika's weekly gross salary if her total sales were $2050?

Answers

I believe it is $2470

A rectangle is 2 meters long and 50 centimeters wide. What is its perimeter, in centimeters?

Answers

Answer:

250 centimeters

Step-by-step explanation:

2 meters into centimeters is 200 so 200+50=250

Answer:

100cm

Step-by-step explanation:

Bob has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total face value of the coins is $416, how many coins of each kind are in the collection?

Answers

Answer:

I think its 15600..

Step-by-step explanation:

Which scenario describes this picture?

Answers

Answer:

It"s the second answer, "An 8-foot ramp leans....".

Step-by-step explanation:

Answer:

Step-by-step explanation:

An 8-foot ramp leans against a building 5 feet away.  

cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°

Graph the function rule

Y= -3/4 x-1

Answers

Draw a vertical intercept (0,-1)
Y= -3/4 x-1

Remember: -3/4 = rise/run
When you look at the graph, look at your information and start from your y-intercept, -1. Then count down -3 then 4 to the right.

box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used. sides of base

Answers

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

find the lowest degree polynomial that has vertical asymptotes at x=2,3 goes through the points (-2,0), and (-3,0) and has a horizontal tangent at y=2

Answers

Answer:

is there multiple choices

help will brainlist...

Answers

Answer:

1)

a. $6

b.$10

c. 2x

d. $3

e. $9

f. 2y

g. $22

h. $21.5

i. 2x + 1.5y

2)

a. 2x + 1.5y = 22

b. You could buy 2 tickets and 12 snacks

Step-by-step explanation:

Could you take sometime to help me on this please?

Answers

ANSWER = -1

hi, take x = -1

[tex]-1\leq -1 \ so \ x\leq -1 \\ \\\text{ BUT } x^3=-1 < -1 \text{ is wrong}[/tex]

Thanks

Answer:

the answer is -1

...............

You move left 3 units and down 2 units. You end at (0, -1). Where did you start?

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Suppose i started from ( x , y ) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

So ;

3 units left :

[tex]x - 3 = 0[/tex]

Add sides 3

[tex]x = 3[/tex]

_________________________________

2 units down :

[tex]y - 2 = - 1[/tex]

Add sides 2

[tex]y = 1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus i started from ( 3 , 1 ) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Triangle ABC is transformed to triangle A′B′C′, as shown below:
Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)

a
The measure of angle ABC = The measure of angle A prime B prime C prime

b
The measure of angle ABC = The measure of angle B prime C prime A

c
The measure of angle BCA = The measure of angle A prime B prime C prime

d
The measure of angle BCA = The measure of angle C prime A prime B prime

Answers

Answer:

d one i think

hope it helps

the sum of triangle is 180 degree

Stefan sells Jin a bicycle for $163 and a helmet for $17. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? Stefan originally spent $​

Answers

Answer:

44$

Step-by-step explanation:

Answer:

Answer

5.0/5

7

PiaDeveau

Ace

5K answers

22.1M people helped

The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Step-by-step explanation:

The Miller's are comparing babysitting services for their two children.


The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household.


Super Sitters charges a flat rate of $20 an hour per child.


For ________hours of service, both babysitting services would cost the same.

Answers

Answer:

After 5 hours of service, both babysitting services would cost the same.

Step-by-step explanation:

Babysitter's Block: y = 15x + 25

Super Sitters: y = 20x

15x + 25 = 20x

Subtract 15x from both sides;

25 = 5x

Divide both sides by 5;

x = 5

For 5 hours of service, both babysitting services would cost the same.

To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.

What are the explanatory and response variables in this scenario?

The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.

Answers

Answer:

Because the weather was generally better this year compared to last year, the attendance may have increased.

Step-by-step explanation:

took test

Answer:

C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.

Step-by-step explanation:

edge 2020

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