MATHEMATICS HIGH SCHOOL

On Friday, Kelsey went to a local carnival. She bought a pretzel for $5 and played three games. On Saturday, Kelsey went back to the carnival and bought an ear of corn for $3 and played five games. If all the games cost the same amount to play, and Kelsey spent the same amount of money each day, how much does each game cost to play?A $1.00
B $1.25
C $1.50
D $2.00

Answers

Answer 1
Answer: set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x

∴ 5+3x=3+5x
   2=2x
   x=1
Therefore the cost of 1 game is $1
Answer 2
Answer: The best answer is A since each game cost the same amount and she spent the same amount both days, u can just add the number of games for the first day which is 3 with $5 and get $8.and for the second day just add  $3 with $5 and u get $8 again.

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Solve the system of equations. 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9 Answer choices:a. x=116, y=8,z=-21
b. x=82, y=-10, z=9
c. x=-116, y=28,z=37
d. x=6,y=-14,z=1

Answers

5x + 9y + 9z =   5 ⇒ 5x +   9y +   9z =   5
4x + 9y + 6z = 10 ⇒ 4x +   9y +   6z = 10
2x + 2y + 5z =   9     9x + 18y + 15z = 15

5x + 9y + 9z =   5 ⇒ 4x +  9y +   6z = 10
4x + 9y + 6z = 10 ⇒ 2x +  2y +   5z =   9
2x + 2y + 5z =   9     6x + 11y + 11z = 19

9x + 18y + 15z = 15 ⇒ 99x + 198y + 165z = 165
6x + 11y + 11z = 19 ⇒ 90x + 165y + 165z = 285
                                                    9x + 33y = -120

5x + 9y + 9z =   5 ⇒ 5x + 9y + 9z =   5
4x + 9y + 6z = 10 ⇒ 4x + 9y + 6z = 10
2x + 2y + 5z =   9 ⇒ 1x + 0y + 3z = -5

5x + 9y + 9z =   5 ⇒ 4x + 9y + 6z = 10
4x + 9y + 6z = 10 ⇒ 2x + 2y + 5z =   9
2x + 2y + 5z =  9      2x + 7y + 1z =   1

1x + 0y + 3z = -5 ⇒ 1x +   0y + 3z = -5
2x + 7y + 1z =  1 ⇒ 6x + 21y + 3z =  3
                                        -5x - 21y = -8

 9x + 33y = -120 ⇒ 63x + 231y = -840
-5x - 21y =     -8 ⇒ -55x - 231y =   -88
                                             8x = -928
                                              8        8
                                               x = -116
                                   -5x - 21y = -8
                           -5(-116) - 21y = -8
                                 580 - 21y = -8
                               - 580           - 580
                                         -21y = -588
                                          -21      -21
                                              y = 28
                            5x + 9y + 9z = 5
                5(-116) + 9(28) + 9z = 5
                      -580 + 252 + 9z = 5
                                -328 + 9z = 5
                              + 328     + 328
                                           9z = 333
                                            9       9
                                             z = 37
                                   (x, y, z) = (-116, 28, 37)

The answer to the problem is C.

Jason made a scale drawing of a restaurant. The scale in the drawing is 4 inches represents 10 feet. The actuallength of the kitchen is 48 feet. What is the length of the kitchen on the scale drawing?

Answers

Answer:

4.8 inches.

Step-by-step explanation:

By using the scale given, you can divide the actual length by the scale (48 ft/10 ft to find it in inches).

When done, it gives you 4.8 inches as the answer.

Answer:

12, It's simple, all you have to do is divide 48 by 4

easy ^-^

In a queueing system, customers arrive once every 3 minutes (standard deviation=4) and services take 2 minutes (standard deviation =6.3) ( Do not round intermediate calculations . Round your answer to three decimal places) What is the average number of customers in the system? customers

Answers

Final answer:

In a queueing system with customer arrivals every 3 minutes and service times of 2 minutes, the average number of customers in the system is calculated to be approximately 0.667

Explanation:

To calculatethe average number of customers in the system, we can use Little's Law, which states that the average number of customers in a stable queueing system is equal to the average arrival rate multiplied by the average time spent in the system.

First, we need to calculate the average arrival rate. Since customers arrive once every 3 minutes, the arrival rate is 1 customer per 3 minutes or 1/3 customers per second.

The total service time is 2 minutes, and the standard deviation is 6.3. Therefore, the average service time is 2 minutes.

Using Little's Law, we multiply the average arrival rate (1/3 customers per minute) by the average service time (2 minutes) to obtain the average number of customers in the system.

Average number of customers in the queue = (1/3) × 2 = 2/3 ≈ 0.667

Read more about standard deviaton at:

brainly.com/question/32836450

Please help with this thanks

Answers

the answer is 2.84 so the best estimate is 3.00
The answer is 8. Because 5+3 is 8

Multiply (3x – 5y)(2x + 3y)

Answers

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

Ratio of two volume cylinders (Geometry)


If two similar cylinders have heights of 75cm and 25cm. What is the
ratio of the volume of the larger cylinder to the volume of the smaller
cylinder? Can someone please explain in detail. Thank you!

Answers

The ratio of the lengths is 75 : 25 or 3 : 1 

The ratio of and area is the square of this: ie 9 : 1 or 75^2 : 25^2
(In working out the area the radius is squared)

The ratio of the volumes is the cube of this: ie 27 : 1 or 75^3 : 25^3
(In working out the volume the radius is cubed)

Hopefully this explains it
V1 = π* ( r1)^2 * 75;
V2 = π* ( r2)^2 * 25;

V1/V2 = (r1/r2)^2 * 3.
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