Gavin has 50 tokens in KG use the weather roller coaster three times every hour. Gibson has 12 tokens And fines two more tokens on the ground each hour. How long until they have the same amount number of tokens

Answers

Answer 1

Answer:

They have the same amount of tokens after t = 7.6 hours

Step-by-step explanation:

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t

To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

So, they have the same amount of tokens after t = 7.6 hours


Related Questions

What is the slope of a line parallel to the line whose equation is 2x + y = 6. Fully
reduce your answer.

Answers

The slope is -2, b/c you subtract the 2x from both sides, which makes 2x a negative in its new side

Which of the relations below is a function?
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), (3, 4), (6,2), (7,3)}

Answers

Answer:

k

Step-by-step explanation:

dw

Answer:

K

Step-by-step explanation:

Dw. Please give me like

FOR 40 POINTS
The is used to measure volume.
choices:
meter
gram
liter

Answers

Answer:

liter

Step-by-step explanation:

Find the slope and the y-intercept of the graph of y
-4/5x - 2

Answers

Answer:

slope - (-4/5)

y- intercept - (0,-2)

Step-by-step explanation:

Answer:

the slope is -4/5 and the y intercept is -2

Step-by-step explanation:

Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.
x+y=5
2x-y=-2
WILL GIVE BRAINLIEST​

Answers

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

what is the effect on the graph of the function f x is equal to the square root of x - 2 ​

Answers

Answer:

g(x) = (x-3)^2 - 3

Step-by-step explanation:

to move up or down just add or subtract the constant equal to the units moved

so just to move it DOWN 3 would give us

g(x) = x^2 - 3

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the right, we replace the x with x-3

g(x) = (x-3)^2 - 3

sorry if I get it wrong.

jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. which expression can he use to figure out the number of holes he will need to drill

Answers

Answer: 36 / 2 1/4

Step-by-step explanation:

From the question, we are informed that Jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. The expression that he can use to figure out the number of holes he will need to drill will be:

= 36 ÷ 2 1/4

From the expression we can then calculate the number of hours to drill. This will be:

= 36 / 2 1/4

= 36 / 9/4

= 36 × 4/9

= 16

He'll need to drill 16 holes

Answer:

18c

= 18(36)

= 648

Step-by-step explanation:

i hope this helps and im on edmentum

m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.​

Answers

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .

Answers

Answer: 3: $3.50 for one pound

4: The value of X is 10

5: P has the value of 2

Step-by-step explanation:

Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2) ​

Answers

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

The intercept would be (0, 1)

Help meee pleaseee :(​

Answers

Hi there!

[tex]\large\boxed{tan\text{ } (\frac{-\pi }{6})}[/tex]

**Recall that tangent is Opposite / Adjacent**

tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:

tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.

tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.

cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.

tan (-π / 6) is equal to -1 / √3. This choice is correct.

Therefore, the correct choice is tan (-π / 6).

The answer I got was the last one that is correct

Solve the following System of Equations using Substitution or Elimination Method.
3x + 2y = 12

12x + 8y = -15

Answers

Multiply the whole top equation by 4 to get rid of the x’s
4(3x+2y=12)

12x+8y=48
12x+8y=-15

0 ≠ 63
NO SOLUTION

Which expression is undefined

Answers

Answer:

A

Step-by-step explanation:

Any rational expression where the denominator is zero is undefined.

The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]

1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8

Answers

Answer:

y=mx+b no judgement i think this is right but i coukldbe completely off

Step-by-step explanation:

A proportion(Equivalent fraction) is a set of two equal ratios for example: 20/30=10/15 true or false!!! Please answer fast

Answers

Answer: true

Step-by-step explanation:

That is true . Divide by 2 = 10/15

Which coordinate pair is a solution of the linear
equation below?
-x - y = -2
Click on the correct answer
(-8,-10)
(8,10)
(-8,10)

Answers

Answer:

The answer is (-8,10).

Your answer is: (-8,10)

Happy holidays!! :)

A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.

Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.

Answers

Answer:

why is your profile therealeisha1

Step-by-step explanation:

i love her so much

If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?

Answers

Answer:

5 hours

Step-by-step explanation:

24miles = 1hour

120miles = x

120*1=120/24

=5hours

1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole.​

Answers

Answer:

75 m

Step-by-step explanation:

Let the length of the pole to be : x m

1/5 of x is inside the mud, this will be : 1/5 x

2/3 of x in inside water , this will be : 2/3 x

10 m remaining is above the water surface. Finding the fraction that remains will follow;

x - {1/5 x + 2/3x } = 10

x-13/15 x =10

2/15 x = 10

x= 75 m

is 4/3 = 8/6 a proportional?

Answers

Answer:

its b

Step-by-step explanation:

b

Answer:

Yes 4/=8/6 are proportional

If you look at the first fraction 4/3 and multiply 2 by the denomenator and numerator it will equal to 8/6 . Now to switch it up 8/6 divided by 2 is 4/3 so yes the t2 fraction are proportional.

Step-by-step explanation:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 33 chaperones for a field trip with 24 2424 students.

Answers

Answer:

Step-by-step explanation:

3 chaperones for every 24 students or 3:24

so that would be 1 chaperone for every 8 students

Which of the following is an open statement

Answers

Answer:

where are the options please

Find the unit rate. $30 for 2 1/2 hours of work

Answers

Answer:

12$ an hour.

Step-by-step explanation:

Simply set it up as fraction in a way set it as  30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

(PLEASE SOLVE ASAP)The container that holds the water for the football team is 2/3 full. After pouring out 4 gallons of water, is is 4/9 full. How many gallons can the container hold?

Answers

2/3 is 6/9 so 2/9 was poured out...

if 4 gallons is 2/9ths it would be

4*2+2

8+2

10gallons

TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.

Answers

Answer:

4

Step-by-step explanation:

4444

isolate the variable on the following problem. show your work.

-2=-4+x​

Answers

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x​

-2+4=-4+4+x​

2=x

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

First we must add 4 to both sides.

[tex]-2 = -4 + x[/tex]

+4      +4

-4 + 4 = 0

-2 +4 = 2

Isolating a variable means that it is alone on its side of the eqation.

[tex]2 = x[/tex]

x is now isolated and we also have the solution for it.

[tex]x = 2[/tex]

Urgent !! To solve a system of equations into y2. Given the following information, find the solution to the system of equations. i. The y-intercepts for the lines are (0,3) and(0,-7) ii. Line 1 has a slope of -3 iii. Line 2 has a slope of 2

Answers

Answer:

i think 2 if not sorry

Step-by-step explanation:

it makes the most  scene to me

Choose the equation that shows a step in the
process of completing the square on the given
quadratic.
y=x2 + 8x - 3
O y=x2 + 8x + 8 - 3-8
Oy=x2 + 8x + 8-3 +8
O y = x2 + 8x + 16 - 3 - 16
O y = x2 + 8x +16 - 3+16

Answers

Answer: y = x2 + 8x + 16 – 3 – 16

Step-by-step explanation:

HELP IMMA- FLIP IM DESPERATE

Answers

Answer:

The line that matches the equation y=2x+4 is line e.

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