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

Increase the following amount by the percentage given

55 by 137%

Answers

Answer:

130.35

Step-by-step explanation:

https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=55&percentage_increase=137&new_value=130.35

I’ll give brainliest plz help me

A kitten weighs 84 grams and gains 12 grams each day. The kitten's weight is
a linear function of time. Which statement best describes the rate of change
and initial value of this function?

A. The rate of change is the number of grams gained per day, and the
initial value is the first day.

B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.

C. The rate of change is the starting weight, and the initial value is
the number of grams gained per day.

D. The rate of change is the number of days per gram gained, and the
initial value is the first day.

Answers

B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.

Answer:

B.The rate of change is the number of grams gained per day, and theinitial value is the starting weight.

Step-by-step explanation:I GOT IT RIGHT

HElp K 12 test! Will give brainiest PLS HELP!!!!

1. Which product is negative?


a. −6⋅(−7)⋅(−8)⋅0


b. −2⋅(−7)⋅12⋅(4)


c. −3⋅(−2)⋅(−4)⋅(−7)


d. 4⋅(−9)⋅(−3)⋅(−1)


2. Multiply.


−3⋅7



a. −21


b. −11


c. 11


d. 21


3.Multiply.


(−17)⋅(−6)



a. −102


b. −23


c. 23


d. 102


4. What is the product?


−5⋅(−3)⋅(−8)



a. −120


b. −16


c. 16


d. 120


5. What is the product?


4⋅(−9)⋅(−3)⋅(−1)



a. −108


b. −81


c. 81


d. 108

Answers

Answer:

1. d  2. a  3. d  4. a  5. a

Step-by-step explanation:

For 1, d is negative because, if there an even number of negatives, the answer will be positive. a. would have been correct, but you multiply that one by 0. 0 is not negative, so the answer has to be d.

2. is -21. You can multiply 3 times seven then make it negative, or simply add -7 together 3 times.

3. is d because the two negatives cancel each other out. Even numbers of negatives cancel each other out. therefore, 17 times 6 is 102.

4. -120 is the answer because there are 3 negatives. That is an odd number, so we know our answer is negative. -5 times -3 is 15, and 15 times -8 is -120.

5. is a because -1 times 4 is -4, then -4 times -9 is 36. 36 times -3 is then -108.

2(h+3.5)=-11. What is the value of h

Answers

Answer:

The value of h would be nine

the quantities x and y in the ratio x/y are called

Answers

Answer:

"Unit rate" is the answer po

They’re called the unit rate.

Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.

Answers

Answer:

6 7/12 miles

Step-by-step explanation:

Explanation: The total miles she rides is the miles she rides to school + the miles she rides back

Step 1: Convert both mixed numbers into fractions.

2 3/4 = 11/4

3 5/6 = 23/6

Step 2: Find GCF by multiplying both fractions by opposing denominators

11/4 = 66/24    (11 * 6 = 66, 4 * 6 = 24)

23/6 = 92/24    (23 * 4 = 92, 6*4=24)

Step 3: Add both fractions

92/24 + 66/24 = 158/24

Step 4: Simplify

158/24= 79/12 = 6 7/12 miles

Please I need this done quickly Explain the answer please

Answers

When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation:
1. ANY point on the line
2. Slope (m)
3. Y-intercept (b)

Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.


Start by solving for the slope of each line. We need two ordered pairs (x, y) from each line to solve for the slope:

Offer A:
(0, 400) and (80, 700)

Let (x1, y1) = (0, 400)
(x2, y2) = (80,700)

m = (y2 - y1)/(x2 - x1)
m = (700 – 400)/(80 – 0) = 300/80 = 15/4

Therefore, the slope (m) for Offer A = 15/4

Next, we need the y-intercept. The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the points we used for solving the slope for Offer A reflects the description for the y-intercept, which is point (0, 400). The y-coordinate is 400–this is the y-intercept of the line.

Now, we can establish the linear equation for Offer A: y = 15/4x + 400

Do the same steps for the other offer:

Offer B:
(0, 500)) and (100,900)
Let (x1, y1) = (0, 500)
(x2, y2) = (100,900)

m = (y2 - y1)/(x2 - x1)
m = (900 - 500)/(100 – 0) = 400/100 = 4

Therefore, the slope for Offer B is 4.

Next, we need the y-intercept. For Offer B, the line crosses at point (0, 500). The y-coordinate, 500 is the y-intercept (b) of the line.

The linear equation for Offer B is:
y = 4x + 500



**NOTE: please double-check the coordinates that I used for solving the slopes of each line before using my inputs. I had a slight difficulty going through the coordinates of your graph because it’s a bit blurry (using my phone to write this post).

Please mark my answers as the Brainliest if you find my explanations helpful :)

f(x) =3x/x+2
Evaluate.
F(v) = ?
Explain..

I will give Brainliest!

Answers

Answer:

5

Step-by-step explanation:

f(v) means your x value is v so substitute X=v in f(x)

[tex]f(v) = 3 \frac{v}{v} + 2 \\ 3 + 2 \\ 5[/tex]

The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.

Function 2
y = 4x + 1

How much more is the rate of change of function 2 than the rate of change of function 1?

A)1
B)2
C)3
D)4

Answers

Answer:

The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.

Step-by-step explanation:

The rate of change is also known as slope. The slope of a linear function or a line is

It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is

Therefore the slope of first function is 0.

The slope intercept form of a line is

Where, m is the slope and b is y-intercept.

The second function is

Therefore the slope of second function is 2 and the y-intercept is 1.

The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.

Yeah I hope its Helpful for you

Choose me Brainiliest

heyyyyyyyyyy kinda need help asap sooooooo plz :)

Answers

Answer:

C and D are the most accurate/correct answers

Step-by-step explanation:

A bird weighs 10 N and is standing 3 m up whats its GPE

Answers

Answer:

30 J

Step-by-step explanation:

Given : -

Height ( h ) = 3m

Weight ( W ) = 10 N

To find : GPE = ?

Note : -

GPE is Gravitational Potential Energy.

It is expressed in Joules ( J ).

Formula : -

W = mg

mg = 10 N

Formula : -

GPE = mgh

GPE = 10 x 3

GPE = 30 J

Therefore,

A bird weighs 10 N and is standing 3 m, it's

GPE is 30 J.

Answer:

The answer is GPE = 300 Nm (Newton meters)

Step-by-step explanation:

The bird's mass weighs to 10 Newtons.

Presuming this took place on Earth, the gravitational force is 10 Newtons.

The bird is standing 3 meters above the ground.

Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.

Jared is trying to save up to buy a car. He has already saved $400. He makes $20 an hour (h) at his job.
Jared needs to have $1200 or more in order to puy the car he wants. How many hours will Jared have to
work in order to save enough money to buy the car?

Answers

Answer:

60 hours

**brianly pls

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line y = -1/2x + 5

Answers

To find the slope of a line perpendicular to another line, we simply need to find the inverse negative of the slope of the first one. This makes sense if you visualize it on a graph or in your head.

The slope of the line given is -1/2.

To find the inverse negative we first inverse the number, then take then negatuve of that (or opposite order).

The inverse of -1/2 is, -2 (switch the numerator and denominator or do to the power of -1, ^-1).

The negative of -2 is, 2.

Therefore the slope of the line perpendicular to y = -1/2x + 5 is 2.

50 = -1/3b + 20

what is b?

Answers

To find b, start by subtracting 20 from both sides:

50 = -1/3b + 20

-20 -20

30 = -1/3b

Now isolate b by dividing both sides by -1/3:

30/(-1/3) = (-1/3b)/(-1/3)

-90 = b

b is 90!

hope this helps !!

please I need help. I dont understand this. its past due! ​

Answers

Answer:

1) x= -8

2) x=7

Step-by-step explanation:

1) x+88+x+108 = 180 ( co-interior angles)

=> 2x+ 196 = 180

=> 2x= 180-196

=> 2x= -16

=>x= -16/2

=>x= -8

2) 7x+6=8x-1

=>7x-8x= -1-6

=>-x= -7

=>x= 7

> Simplify the expression: | - 8 - ( + io)
5
12
4.
5
12
4.

Answers

-79/100 and the decimal form is -0.79

A line is drawn so that it passes through the points (-6,0) and (10,2). What is the slope of the line?

Answers

Answer:

hope you like my answer its -4

jack divided 1,826 by to get a quotient of 18.265

Answers

Answer:

its 100

Step-by-step explanation:

please help! Complete the function for this graph.

Answers

Answer:

y = - 2|x - (-2)| + 1  

Step-by-step explanation:

The general form of an absolute value function is y = a|x – h| + k, where a ≠ 0.

The value of a determines whether the graph opens up or down.  If a is negative, the graph opens down. This holds true, as the value of a = -2

The given graph for the absolute function has a vertex (h, k) of (-2, 1). This is the maximum point of the graph.  

Therefore, the missing values on the given equation is the value of the vertex.  It has to be written as  y = - 2|x - (-2)| + 1 because the equation on your given problem is formatted according to the general form of the absolute value function,  y = a|x – h| + k.  

A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank

Answers

Answer:

[tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : [tex]\pi 10^{2}[/tex] = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2[tex]\pi[/tex]10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = [tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

And ice cream company feels containers with 64 oz of ice cream the acceptable percentage of error and filling each ice cream container is 1.5% select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold

Answers

Hold times 2 2 more ice cream dived by 3 the answer is 26x6

Two students, Galen and Mai, worked on a project.
Galen worked for 3 2/3 hours.
Mai worked for 2 4/5 hours.
What was the total time spent on the project?
How much more time did Galen spend on the project than Mai?

Answers

Answer:

Mia worked 4/5 of an hour less than Galen.

or

Galen spent 4/5 of an hour more working on the project.

Step-by-step explanation:

First we have to find the LCM (Lowest Common Multiple) of 5 and 3 -

3: 3, 6, 9, 15, 18, 21, 24, 27, 30

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

We can see here, that the lowest common multiple is 15.

Now we need to convert the 2/3 and 4/5 into fractions that are equivalent to something fraction that has the denominator of 15.

2/3x5= 10/15

4/5x3= 12/15

So, now, the hours of work time of both Galen and Mia are having the same denominator, now, we can subtract.

3 10/15 - 2 12/15 = 12/15

Now, we understand that 12/15 was the amount of time Galen worked more than Mai. But, still, there is still more to do.

Suspense......

SIMPLIFY!!!

12/15 both come in 3's multiplication table.

12/15 divided by 3 = 4/5

Now, our final answer simplified is 4/5.

Thank You! Please Mark me Brainliest! Have a great day studying!

your video game scores are 64, -13, 73, -5, and 36. what were your lowest and highest scores

Answers

Answer: -13 and 64

ghjfgkhkf

Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

What is 49.5x divided by 88

Answers

Answer:

0.5625

Step-by-step explanation:

Answer:
0.5625x

Isn’t really much of a step by step, in your calculator just put in the numbers divided by eachother then add the “x”.

leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job

Answers

Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To solve the above question, we would be applying the operations of the addition of fractions.

From the question,

Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.

Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/4 + 1/3

Lowest Common Denominator for (3, 4 ) = 12

Hence,

1/T = 3 + 4 / 12

1/T = 7/12

Find the reciprocal of both sides

T = 7/12 hours or can be expressed in decimals as 0.583 hours.

Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To learn more, visit the link below;

https://brainly.com/question/13652749

Please I need help I am so lost

Answers

Answer:

[tex] \sqrt{ \frac{25}{64} } \\ \\ \frac{ \sqrt{25} }{ \sqrt{64} } \\ \\ 25 \: equal \: to \: 5 {}^{2} \\ and \: 64 \: equl \: to \: 8 {}^{2} \\ \frac{ \sqrt{5 {}^{2} } }{ \sqrt{8 {}^{2} } } \\ = \frac{5}{8} [/tex]

so its + or - 5/8

Have a great day

I need help with this equation

Answers

i think it would be 1

Select the circumstance when the expression (a <= b and a >= b) is true. a = −1, b = −2 a = 1, b = 1 a = 1, b = 2 a = 2, b = 1

Answers

Answer:

b = 1 a = 1

or

b = 2 a = 2

Step-by-step explanation:

Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct it.

Answers

Answer:

0.549

Step-by-step explanation:

He needed to flip the equation

x+4:-x-4

What does x equal to?

Answers

Answer:

casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.

1. Tu ropa está sucia. ¿Por qué no ____ lavas?

2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.

3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.

4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?

5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.

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