The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2
You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.
Answer:
12 trades
Step-by-step explanation:
Let's call 'x' the number of trades they will do.
After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.
To find the number of trades when they will have the same amount of cards, we have that:
20 + x = 44 - x
2x = 24
x = 12 trades
Answer:
Option B is the correct answer.
Step-by-step explanation:
Jen decides to read 100 pages the first day and 50 pages each day thereafter.
Number of pages read by Jen per day = 50
Number of pages read by Jen on first day = 100
Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days.
Number of pages read by Ariel per day = 40
Number of pages read by Ariel on first day = 40 + 80 = 120
Option A:
Jen reads 20 pages per day more than Ariel
Wrong
Option B:
Ariel reads 10 pages per day less than Jen.
Correct
Option C:
Ariel read 20 pages less the first day than Jen read.
Wrong
Option D:
The reading rate each day for Jen and Ariel is the same.
Wrong
Option B is the correct answer.
2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3
25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10
4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.
Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
