Answer:
Step-by-step explanation:
Givens
<em>Student A</em>
d = 3/4 mile
t = 6 minutes
<em>Student B</em>
d = 1/2 mile
t = 5 minutes
Note
In both cases, the units are the same, so unit conversion is not necessary.
Solution
<em>Student A</em>
r = d / t
r is the rate of travel in miles / minute
r = 3/4 / 6
r = 3.4 // 6/1 The 1 is put below the 6 so it is easier to divide. Invert the bottom and multiply.
r = 3/4 * 1/6
r = 3/24
r = 1/8 miles / minute
<em>Student B</em>
r = d / t
r = 1/2 // 5 / 1 Turn the bottom fraction upside down and multiply
r = 1/2 * 1/5
r = 1/10
Question
which is bigger: 1/8 or 1/10?
1/8 = 0.125
1/10 = 0.1
1/8 is bigger by 0.025
Answer
Student A is faster by 0.025 miles / minute.
Answer:
5/39
Step-by-step explanation:
2 1/6 = 13/2
5/6 divided by 13/2 = 5/6 multiplied by 2/13
5/6(2/13) = 5/39
so, your answer is 5/39
99 16/25 or 2491/25
100-9/25= 99.64
99.64 as a mixed number is 99 16/25 or 2491/25 as an improper fraction
x²+3x = 9x - 8
Subtract 9x on both sides
x² - 6x = -8
Add 8 on both sides
x² - 6x + 8 = 0
Now you need to find the factors of 8(numbers that multiply to equal 8) that add or subtract to -6.
Factors of 8: 1, 2, 4, 8
2 and 4 add up to 6, if they are both negative they equal -6.
(x - 2)(x - 4) = 0
x - 2 = 0
x = 2
x - 4 = 0
x = 4
x = 2, x = 4