Step-by-step explanation: To simplify the expression 25/30 + 10/30, we first need to find a common denominator. The least common multiple of 30 and 30 is 30 itself, so we can multiply all the fractions by 30. This gives us:
(25/30)(30/30) + (10/30)(30/30) = 75/90 + 10/90
Next, we add the fractions:
75/90 + 10/90 = 85/90
Therefore, 25/30 + 10/30 = 85/90.
Answer:
Step-by-step explanation:
25/30+10/30
Reduce the fraction
30
25
to lowest terms by extracting and canceling out 5.
6
5
+
30
10
Reduce the fraction
30
10
to lowest terms by extracting and canceling out 10.
6
5
+
3
1
Least common multiple of 6 and 3 is 6. Convert
6
5
and
3
1
to fractions with denominator 6.
6
5
+
6
2
Since
6
5
and
6
2
have the same denominator, add them by adding their numerators.
6
5+2
Add 5 and 2 to get 7.
6
7
Answer:
30 miles. Plug it in. 15 * 2 = 30. 10 * 3 = 30. So this means that the answer to your question is thirty miles.
Step-by-step explanation:
Answer:
Use a d=rt table, find x, and plug it in for the part you need. 74 & 84
Step-by-step explanation:
Create a chart for the 2 buses that shows the distance, rate, & time. Calculate the distance by multiplying the rate and time.
x is the rate of speed of the faster bus
Bus 1: D (6x) = r (x) × t (6 hrs)
Bus 2: D (6x-60) = r (x-10) × t (6 hrs)
We also know the total distance traveled was 948 miles. So 6x-60+6x=948.
Then we combine like terms.
12x-60=948
Now isolate the x term by adding 60 to both sides.
12x=1008
Divide both sides by 12 to isolate the x.
x=84
Finally, plug the x back in to the rates to determine the rate of the buses.
Bus 1 - 84 mph
Bus 2 - 74 mph