A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.



A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids

Answers

Answer 1
The answer is Letter B.
Answer 2
Answer:
(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)


Related Questions

96.1 is 39 percent of what? This is 6th grade advanced math btw.

Answers

Answer:

9610/39

Step-by-step explanation:

You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41

(03.01)
Is the following relation a function? (1 point)
O Yes
O No

Answers

Answer:

No

Step-by-step explanation:

That is not a function because it didn't pass the vertical line test

Which is the correct factored form for 8x^3?

Answers

I’m pretty sure its (2x)^3. I got this answer by rewriting the number in exponential form with the base of 2 which is 2^3 then simply multiplied 2^3 with x^3 to get (2x)^3

Answer:

HI! If this helps plz brainlist

Step-by-step explanation:

Rewrite 8 x 3 8 x 3 as (2x)3 ( 2 x ) 3 . Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=3 . Simplify.

what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

(with solution)

PA HELP PO THANKYOUU~

Answers

Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

add all the given and it will result to 127/64

The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?

Answers

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

I am having a hard time on this question. Can you please explain it to me? Please keep it simple so I can understand it. I have already checked them and I just have this feeling that i'm not correct.

John is going to a gym. He must pay a one time membership fee of $75 and a monthly fee of $30. let m=the number of months john has his membership. write an expression to represent this situation. how much will john pay for 6 months of membership?

Answers

Answer:

30m + 75

$255

Step-by-step explanation:

Since John  has to pay a monthly fee of 0, you can let m represent the number of months and then add the one time membership fee of $75.

30 multiplied by 6 is 180 and 180 plus 75 is 255.

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

write the phrase as a expression.
3 fewer than 8

Answers

Your answer should be 3 < 8

Ella buys a computer for $785 her local tax rate is 7% how much does Ella pay for the computer

Answers

Answer:

$839.95

Step-by-step explanation:

There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:

7%=7/100=0.07

7% “of” the amount says to multiply. The word “of” in maths means multiply:

0.07×$785=$54.95.  The tax is $54.95

The computer costs $785. Plus the tax $54.95:  $785+$54.95=$839.95

She pays $839.95 for the computer, including tax.

You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:

100% of the computer price plus 7% of the computer price to get the total cost taxes in.

100% + 7% = 107%. And 107% = 1.07

So we have the following:

$785×1.07=$839.95

Hope this helps :)

Answer:

$839.95

Step-by-step explanation:

From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:

= $785 + (7% × $785)

= $785 + (0.07 × $785)

= $785 + $54.95

= $839.95

Which of the playground’s features are more than 25 feet away from the swings? Choose the THREE correct answers.

Answers

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Read more about interpretation of graphs at; https://brainly.com/question/1638242

3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.

Answers

Step-by-step explanation:

x = one deposit of Sheila

x + 10 = one deposit of Sherri

so,

6x = 5(x + 10) = 5x + 50

x = 50

x + 10 = 60

so, as check, the original equation must be true for these values :

6×50 = 5×(50 + 10) = 5×60

300 = 300

correct.

Sheila deposited 6 times $50 every time. so, in total, she deposited $300.

Sherri deposited 5 times $50+$10 = $60 every time. so, in total, she too deposited $300.

Does the point (5, -1) lie on the line 2y + 3x = 13?​

Answers

Answer: Yes

Step-by-step explanation:

You can find out by inputting your values

2y + 3x = 13

x = 5

y = - 1

2(- 1) + 3(5) = 13

- 2 + 15 = 13

13 = 13

Find the length x. Round to the nearest tenth.

A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6

Answers

Answer:

A

Step-by-step explanation:

Mark brainliest please

Equivalent decimals for 10.045

Answers

Answer:

10.05 , 10,0

Step-by-step explanation:

really sorry if theses aren't the answers your looking 4 !

Read the scenario. 3. Joelle is sewing a new outfit. One pattern piece is 4 in. long. The piece has a seam allowance of in. How long will the piece be after it is sewn? Hint: the seam allowance is how far in from the edge of the piece you sew. It reduces the overall size of the pattern piece. Show the solution to the problem using a horizontal number line. + + 1 O + 2 3. Length of Pattern Piece (in.) 4. 5 Answer:​

Answers

Answer: i think its 4.6 because i am doing the same problem and 4.6 looks the best answer.

Step-by-step explanation: you can also add 4+5/8 or 4+0.625 and you get 4.625 and 4.625 simplified is 4.6

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below.

Expressions Generated by Students
Student
Expression
Jeremy
(20 + 13 + 15) + (20 + 47 + 18)
Layla
(20 + 47 + 18) + (13 + 15 + 20)
Keith
(13 + 20) + (20 + 47 + 18) + 15
Melinda
(13 + 15 + 20 + 20) + (47 + 18)

How many of the students correctly applied only the associative property to rewrite the expression?
one
two
three
four
Mark this and return

Answers

Answer:

Jeremy

Step-by-step explanation:

You need to add 20+13+15=48 Then you add 20+47+18=85.

The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Answers

Answer:

the Answer is:

△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I got 100% on the quiz

The two triangles ΔPQR and ΔP'Q'R' are congruent.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.

In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ7

HELP QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:[tex]7 x \frac{2}{} [/tex][tex]-20[/tex][tex]4x[/tex]Brainly.com

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

Answers

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

[tex]m[/tex] is the slope of the line[tex]b[/tex]  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

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

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

Find the value of x and thank for answer

Answers

X = 70

90 + 90 = 180

360 - 180 = 180

180 divided by 2= 90

90 - 20 = 70°

2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.

Answers

Answer:

length=10inches

width=18inches

Step-by-step explanation:

length=x

width=x+8

perimeter=2l+2b

56=2x+2(x+8)

56=2x+2x+16

56-16=4x

4x=40

x=40/4

x=10

Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.

Answers

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

If a bag contains 10 blue marbles, 5 green Marbles, and 3 red marbles, What is the ratio of red marbles to all Marbles? be sure to simplify/ an equivalent ratio

Answers

Answer:

1 red marble to 6 total marbles

Step-by-step explanation:

There are 3 red marbles, and (10 + 5 + 3) total marbles.

There are 3 red marbles to 18 total marbles

therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3

the ratio is 3/3 : 18/3 which is 1:6

PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.

Answers

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.

Answers

Answer:

Assuming the question is:  3 + 1 16  [I see no "working below."

Step-by-step explanation:

3 + 1 16

48/16 + (16/16 + 1/16)  [Make all numbers into fractions using 16 as the denominator.  E.g. 48/16 = 3.

Add:  48/16 + (16/16 + 1/16)

  (48+16+1)/16

=63/16

[Also equal to 3 15/16]

Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.

Answers

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2

Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.

Answers

to be honest i dont remember srry

Answer:

Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.

Step-by-step explanation:

A stadium has 35,000 seats. 4% of the seats have cushioned backs. How many seats are NOT cushioned in the stadium?

Answers

Answer:

1400

Step-by-step explanation:

Geometry haha, I have no idea how to do this

Answers

Answer:

∠DOB=108°

Step-by-step explanation:

∠AOD=∠COB=y

∠AOC=3.5y-y-y

          =1.5y

3.5y+1.5y=360° (angles at a pt)

          5y=360°

             y=360°÷5

               =72°

         1.5y=72°×1.5

               =108°

Hence, ∠DOB=108°.

Answer:

108

Step-by-step explanation:

Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.

How many times does 9 go into 695 with partial quotient divison

Answers

it's 77 remainder two
Other Questions
where is the only full-sized castle in north america? 1. Boys often play soccer after school, but girls .A. arentB. arent playingC. dontD. dont play We can repeat the derivative operation: the second derivative $f''$ is the derivative of $f'$, the third derivative $f'''$ is the derivative of $f''$, and so on. Find a function $f$ such that $f'$ and $f''$ are not the function 0, but $f'''$ is the constant function 0. Figure AFigure BWhich of the triangles in the two figures above is a right triangle? Explain your choice usingthe Pythagorean Theorem to prove it. Note: the figures are not drawn to seale. John had $26 to spend on eight paintbrushes for his art class. After buying them, John had $10 left. How much did each of the paintbrushes cost?PLSS HELP ME Read the following sentence. Then tell which statement is true. After eating so much, I felt as big as a house.A) The sentence contains a metaphor.B) The sentence contains a simile.C) The sentence is an interrogative sentence.D) The sentence contains a spelling error. 65 - 2x 150, whats the answer!!! The points (4, 3) and (3, y) lie on the same line. If the slope of the line is 2, what is the value of y?PLEASE I HELP!!!!!! Which diagram most accurately explains changes in media over time?A. The growth of bothtelevision and radio led to An increase in the public's ability tospread misinformationB. The popularity oftelevision led to A decline in theuse of the webC. The popularityof the web led to A decrease in the readership of print mediaD. The wide availabilityof print media led to Publishers being able to instantly update stories 100 POINTS & BRAINLIEST!! In complete sentences, please give one example for each of how driving in rain, snow/ice, and fog can increase the danger and make conditions hazardous. Your answer should include examples of how traction, vision, and steering can be made more dangerous due to the weather condition that you chose. Please list an example for each of the three weather types listed. 663 what is the area Multiply or divide. write fractions in simplest form.-2/7 divided by (-8/21)please help with this problem i will mark you brainliest :) The total cost of 1 pencil and 2 erasers is 8, and the total cost of 2 pencils and 4 erasers is 20, as shown below:Let the cost of 1 pencil be x, and the cost of 1 eraser be y. Write two linear equations in x and y: Calculate the total revenue if the firm produces 8 versus 7 units. Then, calculate the marginal revenue of the eighth unit produce ng A trc khi cht c lm di chc cho v 100 triu, cn li chia u cho cc con v chu. Hy chia ti tn ca ng A?- TH1; Di chc ming khng hp php-TH2; Di chc ming hp phpBit ti sn ca ng A l 1 t cc con u thnh nin Hghhhhggggghghghhhhgggghhhh Refer to Figure 13-6. The firm experiences economies of scale at which output levels? a. Output levels less than M b. Output level greater than M c. Output levels between M and N d. Output levels greater than N PLEASE HELP THIS IS DUE IN THIRTY MINUTESI FINNA GIVE YOU 30 POINTS, THAS A SCOREYou have $4800 to spend on fencing to enclose a rectangular area. You also want to make TWO pens as shown below. The cost of the vertical sides is $2.00 per foot and the horizontal sides cost $5.00 per foot. You desire to enclose the largest possible area you can.a) Given x is the dimension of one side of the rectangle, enter an expression for the other dimension of the rectangle. Your answer should have an "x" in it. Also select appropriate units.b) Find an expression for the area of the rectangle only in terms of x. Check the appropriate units.c) What are the dimensions of the rectangle with the largest enclosed area? Enter your dimensions as a list of numbers separated by a comma. Start with the value of side labeled x FIRST.d) What is the largest area you can enclose in a rectangle using feet of fencing? france was a rich and powerful nation in the 17th centry . how did artist of the time react to this historical context Help me pleaseeee pleaseeeee