6 adults & 4 senior citizens have to pay $228 while 13 adults and 7 senior citizens have to pay $459 to visit an exhibition at the Art science Museum . Find the total amount 2 adults & Senior citizen have to pay to visit the exhibition.​

Answers

Answer 1

Answer: Rs. 69

Step-by-step explanation:

Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.

Step 1:

According to the question, we get

Equation 1:

6x + 4y = 228  

Equation 2:

13x + 7y = 459  

Step 2:

Then, by multiplying equation 1 by 7 & equation 2 by 4, we get

7 * [6x + 4y = 228]

⇒ 42x + 28y = 1596 …. (iii)  

And,

4 * [13x + 7y = 459]

⇒ 52x + 28y = 1836 …. (iv)

Step 3:

Now, Subtracting eq. (iii) from eq. (iv), we get

52x + 28y = 1836

42x + 28y = 1596

(-)    (-)         (-)

---------------------------

10 x = 240

----------------------------

⇒ x = 240/10 = 24

Substituting the value of x in Eq. (1)

(6*24) + 4y = 228  

⇒ y = [228 - 144]/4 = 21

Step 4:

Thus,  

The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,

= 2x + y

= (2*24) + 21 ….. [substituting x= 24 & y = 21]

= Rs. 69

Step-by-step explanation:

Hope this helps

can i get braineist


Related Questions

2x + 3 = 3x + 2
Please solve this equation

Answers

Answer:

[tex]2x + 3 = 3x + 2 \\ collecting \: like \: terms \: \\ 2x - 3x = 2 - 3 \\ 1x = 1 \\ x = \frac{1}{1} \: \: or \: \: x = 1[/tex]

Answer: the answer is 1 or 1 over 1 so x=1

Step-by-step explanation: first thing combine the like terms . Second thing make minus instead of plus . Third thing divide and get the answer .

2x-3x= 2-3

1x=1

×=1/1 or 1

HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST .THANKS .

Solve this problem. PLEASE HELP!!

Answers

9514 1404 393

Answer:

  (b)  3 cups

Step-by-step explanation:

One recipe uses 6 oz of orange juice. Multiplying the quantity by 4 means ...

  4 · 6 oz = 24 oz

of orange juice is needed. There are 8 oz in 1 cup, so this amount is ...

  (24 oz)/(8 oz/cup) = 3 cups

To make quadruple the recipe, 3 cups of orange juice are needed.

Someone please help me will mark brainliest !

Answers

Answer:

0 10

1 20

Step-by-step explanation:

0,0

1,20

2,40

3,50

4 60

Multiple Choice
Which of the following is a solution to the equation y=3x – 1?

A. (4,1)
B. (2.5)
C. (4,3)
D. (0,-3)

Answers

Answer:

B: (2,5)

Step-by-step explanation:

y=3x-1

(5)=3(2)-1

5=6-1

5=5 (correct)

Answer:

hola necesito puntos, solo dejame comentar

Step-by-step explanation:

PLEASE I NEED HELP ON THESE 3 QUESTIONS
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.

Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2

Each month's highest recorded temperature is plotted on the number line.

Which of these months had the lowest high temperature? (ignore this)

1. Write the three temperatures in order from least to greatest. Explain how you put the numbers in order.

2. Which month had the lowest high temperature?

3. Which month had the highest temperature?

Answers

Answer:

1: (-24, -2, 6) 2: June 3:January

Step-by-step explanation:

1: the closer the negatives get to 0 backwards, the higher the temperature is, and after 0 would be even higher.

2: -24 is the most far back from the other two

3: 2 of them are negatives and the other is positive so the positive number would be the highest temp

Answer:

1. -24,-2,6

We order this way as the value of an integer decreases when we go lower below 0

2. The lowest High temperature is in June when the temperature is -24

3. January has the highest temperature because the highest temperature was above 0 which was 6

Hope this helps!

A large rectangle is made up of nine identical rectangles whose longer side equals 10. What is the area of the large rectangle?

Answers

• On the top row of rectangles, the length is 10 + 10 = 20
• The middle row has 5 rectangles with all of their short sides equaling the top row, 20
• So 5x = 20 where x is the short side of the rectangle
• x = 4
• So each rectangle’s area = 4 x 10 = 40
• There are 9 rectangles
• So 9 x 40 = 360 = area of the large rectangle
• We can check our work
• Large rectangle side 1 = 10 + 10 = 20
• Large rectangle side 2 = 4 + 10 + 4 = 18
• 18 x 20 = 360
Answer:  360 square units

==========================================================

Explanation:

Refer to the diagram below.

A small rectangle has its longer side equal to 10 and its shorter side is x, which is some real number on the interval 0 < x < 10.

Across the top, the two sides of length 10 add to 20. So the larger rectangle has a horizontal dimension of 20 units.

The vertical side of the larger rectangle is x+10+x = 2x+10 units

The area would be

area = length*width = 20(2x+10) = 40x+200

Each of the nine smaller rectangles has area of length*width = 10x. Since we have 9 identical copies, the smaller rectangle areas must add to 9*10x = 90x

---------------

Equate those two expressions and solve for x

90x = 40x+200

90x-40x = 200

50x = 200

x = 200/50

x = 4

So each smaller rectangle has area of 10*x = 10*4 = 40 square units. In total, the nine smaller rectangles combine to an area of 9*40 = 360 square units

Note how x = 4 leads 40x+200 to result in 360 as well.

ASAPPPPPO due at 11:59pm

Answers

Answer:

Part 1 : 22

Part 2 : 34

Step-by-step explanation:

There is a bag with only milk and dark chocolates.

The probability of randomly choosing a dark chocolate is

7/12

There are 35 dark chocolates in the bag and each is equally likely to be chosen.

Work out how many milk chocolates there must be.

Answers

Answer:

25

Step-by-step explanation:

[tex] \frac{7}{5} = \frac{35}{x} [/tex]

cross multiply

[tex]7x = 175[/tex]

Divide

[tex]175 \div 7 = 25[/tex]

A car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
a. Determine the car's final speed.

b. Calculate the car's average speed during its trip

Answers

Answer:

15m/s

Step-by-step explanation:

we know that

v = u + at

= 0+ 3*5

=15m/s

The final speed of a car is 15 m/s.

Given that, a car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Here, the initial speed = u = 0

Now using v = u + at formula, we get

v = 0+ 3 × 5

=15 m/s

So, final speed is 15 m/s

Average speed is 15 m/s

Therefore, the final speed of a car is 15 m/s.

To learn more about the final speed visit:

https://brainly.com/question/14863785.

#SPJ2

pleas help me due soon i will give brianlyest

Answers

Answer:

option D is correct

Step-by-step explanation:

option D is correct

as, both 2 and 3 are positive integers and also the 2 integer is going towards negative sign but it lies in positive area so,

-2 is in bracket when bracket will be open it will be in positive sign,

so,

2 + 3 - (-2) is correct ans.

hope this answer helps you dear take care and may u have a great day ahead!.

Please look at the pic if im wrong please let me and show me where i was incorrect from my math.Thank you.Btw when i was trying to solve the problem I noticed that there was 2 miles left then i didn't know what to do.

Answers

Answer:

294

Step-by-step explanation:

divide 84 by 4 to get how many miles they travel per hour, then multiply by 14 hours

Answer:

294

Step-by-step explanation:

first you will multiply 84 by 14 and divide by 4

Write an equation to represent a number increase by 4 is 7.

Answers

Answer:

x + 4 = 7

Step-by-step explanation:

Someone help pls I forgot how to do it

Answers

(2,4)

Step-by-step explanation:

I'm not sure in the slightest but with the formula I learned I think this is correct

3. The equation y = 19x describes the amount of money Jeff earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.

(a) How much money does Jeff earn per hour? Show your work on how you found the constant of proportionality.
(b) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality.
(c) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(d) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
( please add a graph!! )

Answers

#1

[tex]\\ \sf\longmapsto y=19x[/tex]

Per hour means x=1

[tex]\\ \sf\longmapsto y=19(1)=\$19[/tex]

#2

Carl earns in 3hours=45

He earns per hour=

[tex]\\ \sf\longmapsto \dfrac{45}{3}=15\$[/tex]

#3.

Jeff earns more per hour .

As

19$>15$

#4

Graph attached

9. Hallar el perímetro del polígono en el plano cartesiano que se proporciona, cuyos vértices son A (-4, -3), B (-1, -5) y C (3,2).*

Answers

(-4,-3) hola! My friend and thanks for asking mama Sita.

difference of 85 and 45

Answers

Answer:
The difference of 85 and 45 is 40

which graph has the domain please help im so confused​

Answers

Answer:

The third option

Step-by-step explanation:

The domain is saying x is greater than or equal to 2, so the third option fits that description.

Hopefully this helps!

Brainliest please?

Hansen played an arcade game that cost 25 tokens PER GAME. In six games, Hansen won 0 tokens, 10 tokens, 50 tokens, 0 tokens, 5 tokens, and 10 tokens. What is the change in the number of tokens Hansen has?

Answers

Answer:

150-75=75, so a change of -75

Step-by-step explanation:

He spent 150 tokens and only got 75 tokens back

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(3x)°
36

Answers

Answer:

Gucci bags of doing a little Bobby I will be a great time to be the way you want to make the day when mother asked for a good idea and we are going on in group the answers the way I can get a good day please find a way for me to be able to get a chance and objectives are a great weekend and write a good time and consideration and I will send you a call from you want to be the first night and write the way I can do you want to be a good idea to get to know you're name num front door and consideration and I will send the way for you to be able a few minutes and consideration and look forward for your

Carlos dropped the phone he had received for his birthday and broke the screen. He knows he has to pay for the replacement himself and does some research to find the lowest cost. He is trying to decide between two stores offering different deals on the same-priced phone.

Answers

Answer:

????????????????

Step-by-step explanation:

what's the question

HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

89 divided by 4.

4 goes into 80, 20 times with none left over.

4 goes into 9, 2 times with 1 left over.

Answer: 22 1/4

Hope this helps!! :)

Show all work and express your answers in scientific notation.

2.4 hours = ____________ seconds

Answers

Answer:

8640

Step-by-step explanation:

Take 2.4 hours, And 1 hour is 60 minutes, and 1 minute has 60 seconds, so 1 hour has 3600 seconds, Do one more hour and you have 7200 seconds, Now you need to add another .4 hours, .4 hours is equal to 40 minutes, so how many seconds are in 40 minutes? 1440 seconds are in 40 minutes, so add 7200 and 1440 and you get 8640.

use the slope-intercept form to graph the equation y=7x-4.

20 pts !!!

Answers

first, let's break the equation down.

y=7x-4

-4 represents your staring coordinate, or your y-intercept. This is because -4 does not have an x after so you know it is equal to your y value. So you start at (0,-4)

Now all you need to do is the y=7x part.

The 7x represents your slope.

Slope is equal to rise/run or y/x.

So for each coordinate, you go up 7 and to the right 1.

(0,-4)

(1,3)

(2,10)

I hope this helps!

Suppose M is the midpoint of Segment AB, P is the midpoint of Segment AM, and Q is the midpoint of segment PM.

If a and b are the coordinates of A and B, find the coordinates of M, P, and Q in terms of a and b.

Answers

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:

Location of M

[tex]\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}[/tex]

[tex]\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B[/tex]

[tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex]

Location of P

[tex]\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}[/tex]

[tex]\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M[/tex]

[tex]\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B[/tex]

[tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex]

Location of Q

[tex]\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}[/tex]

[tex]\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)[/tex]

[tex]\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B[/tex]

[tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex]

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

We kindly invite to check this question on midpoints: https://brainly.com/question/4747771

REPOST*
I NEED HELP ON THESE THREE QUESTIONS*
The number line compares the numbers –6, 3, and 5.

1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.

2. Write an inequality that compares 3 and 5.

3. Write an inequality that compares –6, 3, and 5.

Answers

#1

-6-3-5

Hence inequality will be

[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]

#2.

3<5

But we need inequality

[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]

#3

The inequality given by

[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]

Answer:

See below

Step-by-step explanation:

Given numbers:

-6, 3 and 5

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

-6 < 3, as -6 is to left from 3

2.

3 < 5, as 3 is to left from 5

3.

-6 < 3 < 5, as per above explanation

witch equation represents a direct proportion?

Answers

Answer:

y=kx

Step-by-step explanation:

Which statement comparing ​|−12|​ and ​|8|​ is true?Which statement comparing ​|−12|​ and ​|8|​ is true?

Answers

Answer:

The second one

Step-by-step explanation:

He got it right cause I got it right

pls help me pls pls pls

Answers

Answer: I helped you. Troll!

Describe how to convert a fraction to a decimal without a calculator. Be sure to use complete sentences

Answers

Firstly you should try and make the denominator 100 and then whatever the numerator is should be after the decimal point. For example 1/10 would be 10/100 which would be 0.10.
Another example is 2/5 would be 4/10 which would be 40/100 and that is 0.4.
hope this helped!

What is the value of this expression?


6.4−2.4÷0.1

Answers

Your answer is -17.6
-17.6
Evidence:
You do PEMDAS
First divide -2.4/0.1
Than subtract 24 from 6.4
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