The trampoline park charges a $8 for kids and $4 for adults. Your extended family is going there to celebrate your birthday. Your family has at most $190 dollars to spend on entrance fees. You can invite at most 35 people. What are some possible combinations of adults and kids who could go to your party? Write a system of equations for this situation.

Answers

Answer 1

Answer:

a+k ≤ 35

8a+4k ≤ 190

Some possible combinations are 10 adults and 20 kids

5 adults and 29 kids

Step-by-step explanation:

Let k= number of kids

a = number of adults

a+k ≤ 35  since you can have at most 35

8a + 4k ≤ 190 since the most you can spend is 190

Some possible combinations are 10 adults and 20 kids

(10+30 < 35 and 8*10+4*20 = 80+80 =160< 190)

Another possible combination

5 adults and 29 kids

(5+29 < 35  and 5*10 + 4*29 =50+116=166)


Related Questions

what is the difference between the domain and the range of a function?

Answers

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x. ​

Answers

Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7

ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

everything can be found in the picture

A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)

Answers

Answer:mj,bhvb n

mnbnmb mbnmbnb

Step-by-step explanation:

PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST

Answers

20 a: x = 5

20 b: x = 12

17 c: 30

P(x)=1−2x2+3x+2x5 what type of polynomial is this?

Answers

There is only one x with no powers
P(x) = 3x + 7 a linear function

A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?

Answers

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = [tex]\frac{300}{20}[/tex]

= 15 kilometers

Hence, the length of the base is 15 kilometers.

David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David

Answers

Answer:

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

Step-by-step explanation:

Se queda 2000 Córdoba

Gasta el 20% de su salario para pagar los servicios básicos de su casa.

Gasta el 50% de su salario en comida.

Suponga que gana x cantidad

luego

x = 0,2x + 0,5x + 2000

x = 0,7x + 2000

x-0,7x = 2000

0,3 veces = 2000

x = 2000 / 0,3

x = 6666,67

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

He keeps 2000 Córdoba

He spends  20% of his salary to pay for the basic services of his hous.

He spends 50% of his salary to pay on food.

Suppose he earns x amount

then

x= 0.2x+0.5x+2000

x= 0.7x+2000

x-0.7x=2000

0.3x= 2000

x= 2000/0.3

x= 6666.67

English

He earns 6666.67  Córdoba out of which

he spends 3333.33 on food and 1333.33 on services .

Help
Help
Help
Help
Help
Help

Answers

Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚

add 4312base5 3444base5 qunary number please add qunary​

Answers

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

Can y’all help me find the volume of this?

Answers

Answer:

1795.5 [tex]m^3[/tex]

Step-by-step explanation:

find area of base (it's a trapezoid)

[tex]\frac{b_1+b_2}{2} *h\\\\=\frac{11+16}{2} *9.5\\\\= 13.5*9.5\\\\=128.25[/tex]

multiply area of base by height

128.25 x 14

= 1795.5 [tex]m^3[/tex]

Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.

Answers

3.1 x 22 1/2 = 69.75 rounded is 70

How do I find RS? I've been having great trouble with questions like this recently.

Answers

RS = 5

To find the value of RS, you first have to solve for the variable x.

To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.

Solving this equation gives you x = 9.

You then substitute 9 into x - 4.

9 - 4 = 5.

This gives you RS = 5

Answer:

5

Step-by-step explanation:

We can solve by solving for x

2x-6 + 1 + x-4 = 18

3x-9=18

3x=27

x=9

Plug in 9 for x in Segment RS and you get (9) - 4 = 5

Hope this Helps!

Please Mark Me Brainliest!

:)

in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?

Answers

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

Which integer is farthest from 0?
3
-8
-10
9

Answers

Answer:

-10

Step-by-step explanation:

i think this is the answer

Escribe el nombre de algún tipo de ángulo que se forma "Entre Dos rectas Paralelas y una Secante"

Answers

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

what is the area of this rectangle?

Answers

Answer:

24 tiles^2

Step-by-step explanation:

Length = 6

width = 4

Area = Length x width

        = 6 x 4

        = 24 tiles^2

PLEASE HELPPP TEST TMR PROBLEM ISW IN PHOTO BELOW

Answers

Answer:

AB = A'B', AD = A'D', CD = C'D', CB = C'B'

Step-by-step explanation:

There is more then one way to give this problem a solution. The point of the question is to explain or provide an argument that will prove that the square ABCD is the same as A'B'C'D.

The way to prove it is by saying that the sides are equal, meaning the answer I provided above, by claiming that side AB is also equal to A'B', and so forth with all four sides.

Tina's family buys 4 cheeseburgers and 3 orders of fries for $7.25. Louise's family buys 6 cheeseburgers and 3 orders of fries for $9.75. What is the total cost of 1 cheeseburger and 1 order of fries?

Answers

Answer:

cheeseburgers cost= $1.25 and

Fries cost = $0.75

Step-by-step explanation:

Given data

let cheeseburgers be x

and fries be y

4x+3y= 7.25--------------1

6x+3y= 9.75--------------2

Subtract the equations

   4x+3y= 7.25--------------1

  6x+3y= 9.75--------------2

-2x+0= -2.5

2x=2.5

x=2.5/1.5

x= 1.25

Put x=  1.25 in 1

 4x+3y= 7.25--------------1

 4(1.25)+3y= 7.25--------------1

 5+3y= 7.25

3y=7.25-5

3y=2.25

y= 2.25/3

y= 0.75

Hence cheeseburgers cost= $1.25 and

Fries cost = $0.75

The difference of twice a number and another number is 5. The sum of the two numbers is 19. Find the numbers

Answers

Answer:

12 & 7

Step-by-step explanation:

12 + 7=19

12 - 7=5

Answer:

12 & 7

Step-by-step explanation:

*)Solve the system of equations:

x+y=19

x-y =5

=> 2y=14 =>y = 7

y=7 => x = 12

Which equation represents a line which is parallel to the line 7y-4x=-14

Answers

Answer:

sympathise or strategies

how do i solve this equation again?? its y=mx+b

Answers

Answer:

4

Step-by-step explanation:

add 3 to 13

then divide 16 by 4 that gives you your final answer of 4

Which one is it?
a) <
b) =
c) >

Answers

Answer:

B) =

Step-by-step explanation:

When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.

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Have a great summer :)

PLEASE HELP! Math (recursive sequences)

Answers

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!

Answers

1/2

Hope this helps! :)

______________

Answer:

1/2

Step-by-step explanation:

you use rise/run so its  (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50

HELLLLLLPPPPP!!!!!!!!!!!!!

Answers

Answer:

Acute angled and scalene because if the sum of two angles is 110 then the third angle should be 70 which is acute angle

acute-angled and isosceles

The function f(x) is shown below.

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

Tina is making a cylindrical sandbox that has a radius of 2 feet. She brought 18.84 cubic feet of the sand for the sandbox.

Answers

The answer is 1.5 ft

I just took the test

Measurement questions please help

Answers

Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.

Answers

Answer:

Step-by-step explanation:

I would have thought the answer would be whole numbers...

using top line....

5x-5y + 7x-15 = 180 (that is a line)

12x - 5y = 195

using bottom line

4x+ 4y +2x+ y = 180

6x + 5y =180

~~~~~~~~~~~~~~~~~~

12x - 5y = 195

6x + 5y =180

(fives cancel)

18x = 375

x = 20.83

y= 11

Answer:

x=125/6

y=11

Step-by-step explanation:

Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.

So we have the following two equations:

7x-15+5x-5y=180

4x+4y+2x+y=180

Let's simply(combine like terms):

12x-5y-15=180

6x+5y=180

Add 15 on both sides for first equation:

12x-5y=195

6x+5y=180

Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):

18x=375

Divide both sides by 18:

x=375/18

Simplify (reduce fraction):

x=375/18 ÷3/3=125/6

Now let's go back and find y using either equation:

6x+5y=180 with x=125/6

6(125/6)+5y=180

125+5y=180

5y=180-125

5y=55

y=11

x=125/6 and y=11

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