Answer:
416666666/100000000
Step-by-step explanation:
To write 4.16666666 as a fraction you have to write 4.16666666 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
The equation is already set up for you. All you need to do is solve for x, the number of hours.
23 + 3x = 5x + 7 original equation
23 - 7 = 5x - 3x combine like terms by subtracting 7 and 3x from both sides
16 = 2x simplify
16/2 = x divide both sides by 2 to isolate x
8 = x solve for x
Therefore, the answer is 8 hrs.
A and D seem to be the only correct ones. Hope this helps
|2x - 5| - 2 = 3 |add 2 to both sides
|2x - 5| = 5 ⇔ 2x - 5 = 5 or 2x - 5 = -5 |add 5 to both sides
2x = 10 or 2x = 0 |divide both sides by 2
x = 5 or x = 0
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
