Answer:
Step-by-step explanation:
It takes Lucas 3 hours to cycle from his home to his friend’s village:
3 hours • (a certain speed) = distance in miles
If he travels 5mph slower, it will take him 1.5 hours longer:
4.5 hours • (the same speed - 5mph) = the same distance in miles
4.5 • (x - 5) = 3x
4.5x - 22.5 = 3x
1.5x = 22.5
x = 15mph
3hours • 15mph = 45 miles
Answer:
See below.
Step-by-step explanation:
1/2 = shrink by a factor of 1/2.
+7 = moved up 7 units.
The question is basically asking<em> "What is 1¼ × 6?"</em>
There are multiple ways to arrive at a solution for this.
The first is to break the 1¼ into parts.
1¼ = 1 + ¼. When we multiply 1¼ by 6, that's equal to 1×6 + ¼×6.
1×6 = 6.
¼×6 = 6/4 = 1½.
6 + 1½ = 7½ hours
You could also put 1¼ as an improper fraction and then multiply.
1¼ = 1 + ¼.
1 = 4/4.
4/4 + 1/4 = 5/4.
5/4 × 6 = (5×6)/4 = 30/4.
30/4 = 15/2 = 7½ hours
