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
(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?
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
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.
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
m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.
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
A proportion(Equivalent fraction) is a set of two equal ratios for example: 20/30=10/15 true or false!!! Please answer fast
Answer: true
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)
Answer:
D.(1,-2)
Step-by-step explanation:
y= -3x+1
when x=1
y= -3*1 +1
y=-3+1
so
y=-2
What is the slope of a line parallel to the line whose equation is 2x + y = 6. Fully
reduce your answer.
is 4/3 = 8/6 a proportional?
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.
Answer:
Step-by-step explanation:
3 chaperones for every 24 students or 3:24
so that would be 1 chaperone for every 8 students
Find the slope and the y-intercept of the graph of y
-4/5x - 2
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:
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
Answer:
y=mx+b no judgement i think this is right but i coukldbe completely off
Step-by-step explanation:
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
Answer: y = x2 + 8x + 16 – 3 – 16
Step-by-step explanation:
Find the unit rate. $30 for 2 1/2 hours of work
Answer:
12$ 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.
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)
Answer:
The answer is (-8,10).
Help meee pleaseee :(
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).
What is the ratio of 3:6
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!
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
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)
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
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
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)}
Answer:
k
Step-by-step explanation:
dw
Answer:
K
Step-by-step explanation:
Dw. Please give me like
TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.
Answer:
4
Step-by-step explanation:
4444
isolate the variable on the following problem. show your work.
-2=-4+x
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]
If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?
Answer:
5 hours
Step-by-step explanation:
24miles = 1hour
120miles = x
120*1=120/24
=5hours
FOR 40 POINTS
The is used to measure volume.
choices:
meter
gram
liter
Answer:
liter
Step-by-step explanation:
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.
Answer:
why is your profile therealeisha1
Step-by-step explanation:
i love her so much
HELP IMMA- FLIP IM DESPERATE
Answer:
The line that matches the equation y=2x+4 is line e.
$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .
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 expression is undefined
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]
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
Answer:
i think 2 if not sorry
Step-by-step explanation:
it makes the most scene to me
Which of the following is an open statement
Answer:
where are the options please
Solve the following System of Equations using Substitution or Elimination Method.
3x + 2y = 12
12x + 8y = -15
what is the effect on the graph of the function f x is equal to the square root of x - 2
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.