Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120

Answers

Answer 1

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

Answer 2

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

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Related Questions

if someone could explain this to me :((​

Answers

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!

3/8x5/4 Helpppppp pls

Answers

Answer:

9/25 or .36

Step-by-step explanation:

Which fraction is equivalent to (7-3)*3/10^4-10^2
A. 16/25
B. 1/25
C. 8/1125
D. 16/2475

Answers

Answer:

C.8/1125 is the answer......

At the City Zoo, of the zoo is set aside for the monkeys. There are 4 different monkeys, each
with an equal-sized area. What fraction of the zoo is set aside for one monkey area?
Can someone plz answer me...

A.1/4

B.4/15

C.1/13

D.1/36

Answers

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
1
:
4
1:41, colon, 4

(Choice B)
B
4
:
10
4:104, colon, 10

(Choice C)
C
24
:
60
24:6024, colon, 60

(Choice D)
D
2
:
5
2:52, colon, 5

(Choice E)
E
10
:
24
10:24

Answers

Answer:

Its b,c,d

Step-by-step explanation:

help please (will mark brainliest or however you spell it)

Answers

it’s the third answer

the mean of four numbers is 9 what is the total of the four numbers?

Answers

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

F(t)=212-6t
what is the value of t when F (t) = 140?

Answers

Answer: -628

Step-by-step explanation:

F(140) = 212 - 6(140)

F(140) = 212 - 840

F(140) = -628

(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.

Answers

Answer:

210

Step-by-step explanation:

35x3x2=210

Hello Brainly pleas help

Answers

Answer:

can you take a better pick

Step-by-step explanation:

3 units easy cuz 1.5 from A to zero and 1.5 feom zero to B.

Pls help I need a good grade

Answers

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

What does the enlargement look like and what are the coordinates?

Answers

Answer:

(-6, -3) (-3,-3) (-3,-6)

Step-by-step explanation:

Multiple all of the vertices by 1.5.

(-6, -3) (-3,-3) (-3,-6)

Hope I helped!

[enlargment will still be a triangle]

A random number generator is set to produce integers from 1 to 10.
About how often would you expect to get an even number in 300 trials?
You would expect to get an even number about
times.

Answers

Answer:

you would expect to get 100-200 even numbers. but if u want an exact answer it would be 150 times.

Step-by-step explanation:

there are 5 even and odd numbers. so a 1/2 chance. and 1/2 of 300 is 150

How much is 20% off of $90.75?

Answers

The answer is $18.15

0.20x$90.75


its something about cookies

Answers

Answer:

huh????

Step-by-step explanation:

Answer:

cool. i like cookies.

Is a coin flip​ random? Why or why​ not, in your​ opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

50 points! I only want mhanifa to help me so no one else answer unless you actually know how to do it

Answers

Answer:

Bbc

Step-by-step explanation:

6. Find the ICM of 60 and 400

Answers

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

The LCM of 60 and 400 is 1200. The multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, and more.

The multiples of 400 are 40, 80, 120, 160, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200 and so on and so forth.

Therefore, the LCM is 1200.

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 students, what would be the probability that at least 6 students drive themselves to school? (CDF)

A) 0.139
B) 0.283
C) 0.717
D) 0.861

Answers

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

A coordinate plane.

Which statements are true? Check all that apply.
The line that goes through the points (3,7) and (–2,7) is a horizontal line.
The equation x = –8 is a vertical line that goes through the point (–8,3).
The line that goes through the points (0,5) and (0,–7) is a vertical line.
The points on a horizontal line have the same x-coordinate.

Answers

Answer:

A  , B, and C

Step-by-step explanation:

i just did it

What is the quotient of 33.288 and 7.6?

Answers

Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Solve For X. Please add an explanation.

Answers

Answer:

Your answer is 2.5

Hope that this is helpful. Vote and like it

solving the systems of linear equations by substitution.

x+2y=6
5x+2y=18​

Answers

Here you go...........

Show work
4.87 x 7.23

Answers

The answer is 35.2101 and that is to show work

Answer:

Step-by-step explanation:

Here are your workings

4.87 x 7.23  simplify

Step 2

(4.87)(7.23)  Add brackets(Optional)

Then you multiply the two exponents to get 35.2101

Your answer would be 35.2101

Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

Which of the following is a rational number?

square root of 79, square root of 80, square root of 81, square root of 82

Answers

Answer:

square root of 81.

Step-by-step explanation:

Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?

PLEASE ANSWER

Answers

Answer:

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

Step-by-step explanation:

A cone has a base area of 20 m and a volume of 160 m. Find the height of the cone​

Answers

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

What is the diameter of a sphere with a volume of 78006 in?

Answers

Answer: 53.0

Step-by-step explanation:

Then the diameter equals 53.0122774

The diameter of the sphere is 53.01 inch

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the diameter of the sphere be = d

The radius of the sphere be = r

The volume of the sphere is V = 78006 inch³

The Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation ,we get

( 4/3 ) πr³ = 78006 inch³

Now , Multiply by ( 3 / 4 ) on both sides , we get

πr³ = ( 78006 x 3 ) / 4

     = 58504.5 inch³

Divide by π on both sides , we get

r³ = 58504.5 / π

   = 18622.56 inch³

Taking cube roots on both sides , we get

r = 26.506 inch

So , the radius of the sphere is r = 26.506 inch

Now , the diameter of the sphere is d = 2 x r

                                                               = 2 x 26.506

                                                               = 53.01 inch

Hence , The diameter of the sphere is 53.01 inch

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https://brainly.com/question/27933834

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If a1 = 4 and an = -3an-1 then find the value of a4.

Answers

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

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