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

3x + 2x – x + 2x² + 4

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Answer:

4x+2x² + 4

Step-by-step explanation:

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The answer is B

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Answer C is out because 12/5 is 2.4 which is smaller than pi (3.14)

Find the value of x. Please help ASAP will give brainliest.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Mahir ' in ağırlığının feride' nin ağırlağına oranı 9/4 'tür.
Mahir' in ağırlığı 81 kg olduğuna göre feridenin ağırlığı kaç kg'dir? (acil soru) ​

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this looks like gibberish bahahaha

How much dose a 60$ video game cost after you take 30% off?

Answers

Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

60 x 30 =

60 x 0.3 = 18

60 - 18 = 42.

A company has a manufacturing plant that is producing quality clocks. They find that in order to produce 190 clocks in a month, it will cost $6720. Also, to produce 460 clocks in a month, it will cost $14280. Find
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Answer: y =

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Answer:

Step-by-step explanation:

6727 BCS they add 2 form 6725 and it becomes the answer if 69. Yw

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.

What's 300x490-78+344-23=?
plz help me

Answers

Answer:

141,243

Step-by-step explanation:

1. Use PEMDAS

(300)(470) - 78 + 344 - 23 (Do muti first)

141,000 - 78 + 344 - 23 (You can do any order now)

141,243

The answer is 147243

At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of $12,806, which is 24% less than it sold for when it was new. What was the original price of the vehicle?

Answers

9514 1404 393

Answer:

  $16,850

Step-by-step explanation:

The sale price is 1 -24% = 76% of the original price (p). An equation is ...

  12806 = 0.76p

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The original price of the vehicle was $16,850.

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 10 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An inspector chooses 2 part(s) from among the 10 at random. Two cavities are affected by a temperature malfunction that results in parts that do not conform to specifications.
a. How many samples contain exactly 1 nonconforming part?
b. How many samples contain at least 1 nonconforming part?

Answers

Answer:

16 ;

17

Step-by-step explanation:

Number of cavities = 10

Number of parts chosen = 2

Number of cavities affected by temperature malfunction = 2

A.)

Number of samples that contain exactly one conforming part :

2C1 * 10-2C2-1

2C1 * 8C1

Combination formula :

nCr = n! ÷ (n-r)! r!

Using calculator :

2C1 * 8C1 = 2 * 8 = 16

B)

b. How many samples contain at least 1 nonconforming part?

10C2 - 8C2 = 45 - 28 = 17

2
1 1. On a coordinate graph, the points A(-5, 6),B(2, 6),C(2, -1), and D(-5, -1) are the vertices of a
Nuare. What is the area of the square?
A. 7 square units
B. 14 square units
C. 28 square units
D. 49 square units

Answers

Answer:

I believe your answer would be C

please help me please i really need help please

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The answer is
a = 4
b = -1
a=4
b=-1 they were right

A database contains 58,000 items. Items are added to the database at a rate of 2 items per minute.
Which function can be used to find n, the total number of items in the database after m minutes?

Answers

Answer:

Your answer is

2 times per min So Function.....

f(x)=n= 2x

where n= items

x= min

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Jace and Ellie are helping their friend Oliver move: Jace can move one box for every two boxes does Elle can move five boxes how many boxes can move

Answers

Answer:

Two.

Step-by-step explanation:

If Ellie moves five boxes, and Jace can move one for every two Ellie moves, Jace can move two boxes.

The code for a lock consists of 3 digits using the digits: 1,2,4,7,8,9. How many different codes are possible if no digit may be repeated?

Answers

Answer:

279

Step-by-step explanation:

What is the solution to this equation? 8(e)^2x+1 = 4

Answers

x= 3/8e^2
I hope this is what you were looking for if not I can’t find a different solution

Answer:

[tex]x=\frac{In(0.5)-1}{2}[/tex]

Step-by-step explanation:

Just took the test - this is correct

Round 8.644 to the nearest tenth

Answers

Answer:

8.6

Step-by-step explanation:

8.6
It goes in units, tenths, hundredth etc
Hope that helps.

11. In rhombus MATH, MS = 6 and SA = 8. Find the perimeter of the rhombus.
M
А
8
A
S
I
T

Answers

Answer:

40

Step-by-step explanation:

A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.

[tex]ms {}^{2} + sa {}^{2} = {ma}^{2} [/tex]

ms=6, sa =8 so we plug that in.

[tex]6 {}^{2} + {8}^{2} = ma {}^{2} [/tex]

Simplify

[tex]36 + 64 = ma {}^{2} [/tex]

[tex]100 = ma {}^{2} [/tex]

take sqr root

[tex] \sqrt{100} = ma[/tex]

[tex]ma = 10[/tex]

Now let find the perimeter

Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in

[tex]4(10) = 40[/tex]

The answer is 40

If I have 110 peanut butter sandwiches, 80 turkey sandwiches, 40 excell sandwiches and 70 ham and cheese sandwiches. how many sandwiches are likely to be ham and cheese sandwiches.

Answers

Answer:

70 ham and cheese sandwhiches

nice try.

Answer:

70

Step-by-step explanation:

Enter an estimate. Round each mixed number to the nearest half in your estimate.

5 1/2 - 4 6/7

Answers

I got 9/14 ( sorry if I’m wrong )

Which fraction rounds to 5?

Answers

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

An athlete eats 90 grams of protein per day while training. How much is this in milligrams (mg)?

Answers

Answer:

90,000 Mg would be the amount of protein.

You buy a refillable cup from the gas station for $10. They are offering a special where you buy the cup, and you can get soft drink refills for only
$0.40 for the entire summer. Write a function in x that represents the total amount you spend on soft drinks at the gas station this summer. Be sure
to indicate any domain restrictions.

Answers

Answer:

10₊0.40x

Step-by-step explanation:

Because it starts off by being 10 dollars plus 0.40 times however many refills you get

Bill spent a total of $35 at the grocery store. Of this amount, he spent $28 on fruit. What percentage of the total did he spend
on fruit?

Answers

Answer:

80%

Step-by-step explanation:

28/35 as a percent =

First, simplify the fraction.

28/35 = 4/5

Next, turn the simplified fraction into a denominator of 100.

4/5 = 80/100

80/100 = 80%

HELP QUICK ILL MARK BRAINLIEST|mr Williams drew a polygon on the board.the polygon had both acute and obtuse angles wich polygon Could mr Williams have drawn

Answers

Answer:

J

Step-by-step explanation:

A rhombus as both acute and obtuse angles that add up to 180 on each side

Can someone please help me

Answers

Perimeter is adding all the sides together.

2(3x+12) accounts for 2 of the longer sides.

2(5x+9) accounts for 2 of the shorter sides.

The perimeter equation can be...

2(3x+12) + 2(5x+9)

You can further simplify this by distributing the 2 to each bracket.

6x+24 + 10x+18

Add like terms.

16x + 42 is the equation for the perimeter.

Discuss where you see math in the real world, including mathematical vocabulary.​

Answers

Answer:

you could use it in your job, you use math to d taxes.

Step-by-step explanation:

the difference of 44 and the square of n into a expression

Answers

Answer:

[tex]44-\sqrt{n}[/tex]

Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?

Answers

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

takes 1 hour break and returns for 12:30.

She finishes at 4. Time from 12:30 to 4 is (3h30)

3h30 + 4 = 7h30m

Check yourself ^

What is the volume?
1 mm
1 mm
1 m

Answers

Answer:

1mm

Step-by-step explanation:

1 × 1 × 1

good luck, i hope this helps :)

Answer:

1 m (milliliter)

Step-by-step explanation:

To find the volume, you need to know the formula for volume

The formula is

length × width × height.

So,

1 mm (length)

x

1 mm (width)

x

1 mm (height)

is 1 mm

Because 1 x 1 x 1 is just 1

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