Answer: 18
Step-by-step explanation:
The least common denominator of and is going to be a multiple of 9 and 6. Let us list them out:
9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).
1. Assign an identifying variable to the quantity to be found.
2. Write a sentence stating conditions placed on the quantity.
3. Solve the sentence for the variable.
Let the number of 2 points be x, and the number of 3 points be y.
Therefore x + y = 14 .....(i)
2*x + 3*y = 30 .....(ii)
x + y = 14
2x + 3y = 30
From (i), x = 14 - y, substitute this into (ii)
2*(14 - y) + 3y = 30
28 - 2y + 3y = 30
28 + y = 30
y = 30 - 28 = 2
y = 2,
x = 14 - y = 14 - 2 = 12, x = 12.
The number of 2 points made were 12
Answer:
Step-by-step explanation:
Given
Solving (a): Multiplication sentence
Rewrite of as *
Solve
Hence, the multiplication sentence is:
Solving (b): Rectangular fraction model
In (a) above, the result is 2/5
The fraction model will be represented as thus:
- Draw a rectangle
- Partition in to 5 equal parts (5 represents the denominator)
- Shade 2 of the 5 partitions (2 represents the numerator)
<em>See attachment for model</em>
Answer:
1)
2)
3)
4)
5)
Step-by-step explanation:
1) Convert mixed numbers to decimal numbers dividing the numerator by the denominator and adding the result to Whole number part:
The unit rate is:
2) Divide 2,857 points by 1,487 games:
3) Divide 255 strikeouts by 204 innings:
4) Divide 15 errors by 1,000,000 pieces:
5) Divide 5,979 points by 179 career playoff games: