A paintball park charges an entrance fee, and fee per game played. On saturday, Jesse plays 19 games and pays a total of 62.50 dollars. Paula plays 10 games and pays a total of 40 dollars. Find the entrance fee and then fee per games played

Answers

Answer 1

Answer:

Entrance fee=15, fee per games played=2.50

Step-by-step explanation:

x=fee per games played, y=entrance fee

19x+y=62.50 equation 1

10x+y=40 equation 2

y=40-10x isolate y in equation 2

19x+40-10x=62.50 substitute y value from equation 2 into equation 1

9x=22.50

x=2.50

solve for y by substituting x value in either equation

10x+y=40

10(2.50)+y=40

25+y=40

y=15

Check answer:

19x+y=62.50

19(2.50)+15=62.50

47.50+15=62.50

62.50=62.50


Related Questions

Question 3 of 10
Which of the following is(are) the solution(s) to |15x+2| = 8?

Answers

Answer:

x = 6/5  x = -2

Step-by-step explanation:

|5x+2| = 8

There are 2 solutions

5x+2 = 8   and 5x+2 = -8

Subtract 2 from each side

5x+2 -2 = 8-2    and 5x+2-2 = -8-2

5x= 6                           5x = -10

Divide by 5

5x/5 = 6/5                        5x/5 = -10/5

x = 6/5                                  x = -2

Answer:

b

Step-by-step explanation:

|5x+2|=8

1) |5×(-2)+2|=8

|-10+2|=8

|-8|=8

8=8

2) |5×6/5+2|=8

|6+2|=8

|8|=8

8=8

I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8

Answers

Answer:

7 cannot be achieved

-1 + 6 = 5

-3 + 4 = 1

-5 + 2 = -3

as you can see, no combinations can form seven

–8, –4, 0, 4, 8, 12 What do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence

Answers

Answer:

Arithmetic sequence

Step-by-step explanation:

An list of numbers whereby the difference between each consecutive number is constant is called an arithmetic sequence. Given thelistvif numbers:

–8, –4, 0, 4, 8, 12 ;

We can see that each consecutive number in the list has a constant difference of 4. Hence x this is called an arithmetic sequence.

[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]

Answers

X - 3/8 = 13/2

Add 3/8 to both sides:

X = 13/2 + 3/8

Rewrite 13/2 to have 8 as the denominator:

13/2 x 4 = 52/8

X = 52/8 + 3/8

X = 55/8

Answer:

55/8

Step-by-step explanation:

Add 3/8 to both sides

X - 3/8 = 13/2

X = 13/2 + 3/8

make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8

X = 52/8+3/8

X= 55/8

rationalise 3 square root 2 divided by square root 3

Answers

Answer:

root3

Step-by-step explanation:

multiply the numerator and denominator by the root of 3

3root2×root3/root3×root3

3root6/3

note root3×root3=3

the 3 up will divide the 3 down

and that lives u with the answer root2

sorry currently won't have a way of writing the roots thats y am using words

joe measures the side of a square correct to 1 decimal place. he calculates the upper bound for the area of the square as 37.8225cm².

work out joe's measurement for the side of the square

Answers

The side of the square is 6.2 cm

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Area of a square = length of a side²

37.8225cm² = length of a side²

To determine the length of a side, find the square root of 37.8225cm²

37.8225cm² = 6.15cm

To round off to one decimal place, look at the second number after the decimal (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The hundredth number is 5, so one would be added to one. the number then becomes 6.2cm

Learn more on how to determine the side length of a square here : https://brainly.com/question/10646504?referrer=searchResults

Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2

Answers

Answer:

f (x) = x2 - 3x + 2

Step-by-step explanation:

Answer:

f(x)=-3x+2

Step-by-step explanation:

The first one is a quadtratic function because it is in quadtratic form.

The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.

That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.

Hope this helps!

find the missing side lengths​

Answers

Answer:

[tex]x = \frac{2 \sqrt{3} }{3} [/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

30, 60, 90 triangle

Can you help please please helps

Answers

Answer:

2nd option

Step-by-step explanation:

Given

- np - 6 ≤ 3(c - 5) ← distribute

- np - 6 ≤ 3c - 15 ( add 6 to both sides )

- np ≤ 3c - 9

Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.

n ≥ [tex]\frac{3c-9}{-p}[/tex]

What are the roots of this equation x^2-4x+9=0?

Answers

Answer:

Roots is a fancy word for zero, which is also another fancy word for the x intercept.

You can factor a quad or use the quadratic equation to get zeros.

In this case, its non-factorable. So you gotta use the quadratic.

Using the quadratic equation you get : x = -2 ± √-1 (√5),

which can be rewritten as x = -2 ± i(√5)

Function was : x^2 + 4x + 9

For quad, I identified the following:

A = 1

B = 4

C = 9

I also added a picture of the formula in the attached.

The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of the piece of plastic?

Answers

Answer:

6 mm and 9 mm are the dimensions of the piece of plastic.

Step-by-step explanation:

Keep in mind the formulas for the area and perimeter of a rectangle:

A = lw

P = 2 (l + w)

List the factors of 54:

1, 2, 3, 6, 9, 18, 27, 54

POSSIBLE DIMENSIONS of the piece of plastic:

1 mm and 54 mm:

Area - 54 mm^2

Perimeter - 110 mm

2 mm and 27 mm

Area - 54 mm^2

Perimeter - 58 mm

3 mm and 18 mm

Area - 54 mm^2

Perimeter - 42 mm

6 mm and 9 mm

Area - 54 mm^2

Perimeter - 30 mm

The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.

Hope this helps!

Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi

Please answer it will mean a lot thanks

Answers

Answer: Circumference of circle = 27.004 inches

              Area of circle = 58.0586 inches²

Step-by-step explanation:

Diameter of circle = 8.6 inches

Pi ([tex]\pi[/tex]) = 3.14

Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)

                                                                = 3.14 × 8.6

                                                                = 27.004 inches

Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4

                                                 = 3.14 × 8.6 × 8.6 / 4

                                                 = 3.14 × 73.96 / 4

                                                 = 58.0586 inches²

l= 6 ft, w = 2 ft, h= 5 ft what is the surface area of the rectangular prism​

Answers

it’s literally 6x2x5 (60 sq ft)

104 ft^2

Explanation:

The surface areaa of a rectangular prism is given by the formula:

2 (lw + hl + hw)

l = length

w = width

h = height

Substitute the formula with the givsn dimensions:

2 ([6 x 2] + [5 x 6] + [5 x 2])

= 2 (12 + 30 + 10)

2 (52)

= 104

So the SA is 104 square feet or ft^2

Hope this helps!

Help solve for the area

Answers

Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]

Rectangle)

[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]

Total)

[tex]153+119=272 cm^2[/tex]

A father is 51 years old and his son is 19. How many years ago was the father 5 times his son's age? ​

Answers

Answer:

x=11

Step-by-step explanation:

51-x-5*19= -5x

51-5*19= -4x

4x=5*19-51

4x=95-51

4x=44

x=11

Step-by-step explanation:

let x year ago son age was 5 time his father age.

age of son before x year = 19-x

age of father before x year = 51-x

NOW

according to the question

5(19-x) =51-x

95-5x =51-x

95-51 = -X-5x

44 = 4x

x=11

so your ans is 11years ago

4(3−y)=6−2(1−3y) Enter your answer in the box. y=

Answers

Answer:

12-4y=4-12y

8y=-8

y=-1

Answer:

y= 0.8

Step-by-step explanation

4(3−y) = 6−2(1−3y)

12−4y = 6−2(1−3y)

12−4y = 6−2+6y

12−4y = 4+6y

  12   =  4+10y

     8 = 10y

  0.8 = y

This is correct i just took the test. I hope this helps :)

18 cards are numbered from 11 to 29 if one card is chosen at random, what is the probability that if contains the digit ​

Answers

What digit? 2?
If it’s two:

“There are 29–10 = 19 cards in total. There are 11 cards that has at least one 2 on it (12, 20–29). The probability of choosing a card with a 2 on it is 11/19.”

WHO CAN HELP ME WITH THIS QUESTION​

Answers

Answer:

No

Step-by-step explanation:

These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.

The side lengths aren't proportional as well. These triangles not similar.

Answer: I'm not sure but

similar : no

similarity statement: it's not similar because the corresponding angle of the two triangle are different

scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)

Step-by-step explanation:

The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs (C) 49/6 hrs (D)24000 hr

Answers

Answer:

[tex]81\frac{2}{3}[/tex] hours

Step-by-step explanation:

Hi there!

1) Create a proportion

The van traveled 120 miles in 7 hoursThe van travels 1400 miles in x hours

[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

2) Solve for x

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

Multiply both sides by 1400

[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]81\frac{2}{3} =x[/tex]

Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.

I hope this helps!

3. If triangle ABC has the following measurements, find the measure of angle A.
a = 17
b = 21
C = 25

Answers

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

Additional comment

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

Answer:

 (a)  42.3°

Step-by-step explanation:

77 yd
36 yd
What is the length of the hypotenuse?
C =
yards

Answers

Answer:

c = 85 yd

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )

c = [tex]\sqrt{7225}[/tex] = 85

Answer:

[tex]85yd[/tex]

Step-by-step explanation:

According to PYTHAGORAS Theorem,

[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]

Each cat at the animal shelter gets
5/6 pound of food. Allie has 9 1/2
pounds of cat food. How many cats
can Allie feed?
A: 7
B:9
C: 11
D:13

Answers

Answer: C : 11

Step-by-step explanation:

5/6 is 0.833


So divide 9 1/2 by 5/6

So the answer is 11,4 and it round off to 11



So the answer is 11 option C

A staircase is being constructed in a new house as displayed on the right. Each tread is 18 cm and each riser is 10cm. Determine the angle of inclination of the stairs.

Answers

Answer:

29.1°

Step-by-step explanation:

Given that :

Riser, AB, Opposite = 10 cm

Thread, = AC, Adjacent = 18 cm

Angle of inclination, θ

Using trigonometry :

Tan θ = opposite / Adjacent = AB / AC

Tan θ = 10 / 18

θ = tan^-1(10/18)

θ = 29.055

Hence, angle of inclination is 29.1° (1 decimal place)

A, B and C are points on a circle.
EF is a tangent to the circle at C.
D is a point on AC.
Angle CBD:Angle ABD = 3:1.
Find angle ADB.
Give a geometrical reason for each step of your working.

Answers

Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

I need 26/50 simplified so I can answer an assignment

Answers

Answer:

13/25

Step-by-step explanation:

Find: 26/50 simplified

Step 1: Find the GCF (Greatest Common Factor) of 26 and 50

26: 1, 2, 13 & 26

50: 1, 2, 5, 10, 25 & 50

The GCF (Greatest Common Factor) will be 2

Then simplify 26/50 by 2

26/50 = 13/25

Does the point (-9,-4) satisfy the equation y = x + 5?

Answers

Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

         y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

Pls mark my answer as the brainliest

Rewrite in simplest rational exponent form √x · 4√x. Show each step of your process. The problem is down below in the image in case my written version of it doesn't depict it correctly.

Answers

Step-by-step explanation:

x will be raised to the power of 1 if there's no power associatiated to it. Thus, you will have to flip the numbers to turn it into exponential form

Write the equation of the line that is parallel to the line y=-1/4x - 3 through the point (4,4).

Answers

Answer:

D

Step-by-step explanation:

The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5

URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!

pleasee fasterrr !!!!​

Answers

Answer:

3b (3a - 4b)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

9ab - 12b² ← factor out 3b from each term

= 3b(3a - 4b) → C

pls help answer, explain it too. I will give brainliest

Answers

Pages read by Arnold in 7 minutes = 3 pages

Pages read by Arnold in 1 minutes

= 3/7 pages

= 6/14 pages

Pages read by Brenda in 14 minutes = 8 pages

Pages read by Brenda in 1 minutes = 8/14 pages

(6/14) < (8/14)

So, speed of Arnold < speed of Brenda.

So, Brenda reads faster.

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