Step-by-step explanation: Divide by successive primes:
900 / 2 = 450
450 / 2 = 225
225 / 3 = 75
75 / 3 = 25
25 / 5 = 5
5 / 5 = 1
Write down the prime factors:
2 × 2 × 3 × 3 × 5 × 5
Write them in index form:
2² × 3² × 5²
Answer:
Rajini is correct, A = 1/2 × 9 × 7
Step-by-step explanation:
A = 1/2 × base × height
base = the leg bisected by the height, in this case leg QD = 9cm
height = 7cm in this case
Answer: 110 yards
Step-by-step explanation:
From the question, the distance from the shovel to the treasure chest is
60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.
The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.
= 60 yards + 50 yards
= 110 yards
Part A
If 2 inches is 25 miles, then you can set up a ratio to find how many inches 60 miles is.
2 inches equaling 25 miles would be 2:25 in a ratio form of inches:miles.
If miles equals 60, then the ratio would be x:60 in inches:miles.
Since both sides must have the same thing done to them, divide 60 by 25 to see how much miles was multiplied by to get to 60, then multiply inches by that to get x.
60 / 25 = 2.4
2 • 2.4 = 4.8
So the answer to part A is 4.8 inches represent 60 miles.
Part B
You can do the same concept for Part B.
1/4 = 0.25
In a ratio of inches:miles, this would be 0.25:x
Since the original ratio is 2:25, you must figure out how many times 1/4 goes into 2.
2 = 2/1 = 4/2 = 8/4
So 1/4 goes into 2, which can be represented by 8/4, 8 times.
This means 2 was divided by 8 to get 0.25.
Now divide 25 by 8 to get x.
25 / 8 = 3.125
So the answer to part B is 3.125 miles are represented by 1/4 inch.
