It's not commutative:
<em>a</em> * <em>b</em> = 3<em>a</em> + 2<em>b</em>
but
<em>b</em> * <em>a</em> = 3<em>b</em> + 2<em>a</em>
We have equality only for
3<em>a</em> + 2<em>b</em> = 3<em>b</em> + 2<em>a</em> → <em>a</em> = <em>b</em>
Hello!
Since we want to find out how many rooms will be needed for 44 people, we must use division.
44 ÷ 5 = 8.8
Check by multiplying:
5 × 8 = 40
Because 40 is less than the amount of people (44), we'll need to multiply by the next number in line (9):
5 × 9 = 45 (1 extra person, no biggie!)
The tour group will need 9 rooms.
The answer is n + 3 over 5 = n - 1 over 2.
Answer:
8 hours
Step-by-step explanation:
If two people shovel at the same rate, they can do the job in half the time.
We have ...
(Dad) + (Mom + Isabel) ⇒ 2 hours . . . . half as long as Dad alone
Dad ⇒ 4 hours
This tells us that ...
(Mom +Isabel) = 4 hours
We know that ...
Isabel ⇒ 2×4 hours = 8 hours . . . . twice as long as Mom + Isabel
So, we conclude ...
Mom ⇒ 8 hours
It would take Mom 8 hours to shovel the driveway herself.
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<em>Additional comment</em>
The rates add when expressed as driveways per hour.
total = Dad + Mom + Isabel
1/2 = 1/4 + 1/m + 1/(2·4)
1/m = 4/8 -3/8 = 1/8
m = 8 . . . . . it takes Mom 8 hours by herself.
Answer:
6b + 3a - 39n
Step-by-step explanation:
Expanding using the distributive property :
-3(-2b + 5a + 7n - 10a + 6n +4a)
Multiply all values in the bracket by - 3
6b -15a - 21n + 30a - 18n - 12a
Collect like terms
6b - 15a + 30a - 12a - 21n - 18n
6b + 3a - 39n