To prove the divisibility lets expand each number first to get the complete picture of the problem
51^7 = 8.974106779 . 10^11
51^6 = 1.75962878 . 10^10
(51^7 - 51^6) = 8.974106779 . 10^11 - 1.75962878 . 10^10
= 8.798143901. 10^11
= 3.51925756. 10^10
That is the answer expressed in scientific notation
= 35192575600
Which means the divisibility is proven
I believe that B) m<3 would need to double. Since m<6 and m<3 are corresponding angles, they are always equal. So if 6 doubles, 3 needs to as well in order to be equal.
1.30(2) + X = 6.10
This would be one of a few equations to do. 1.30(2) represents the cartons of eggs which are each 1.30. the X will represent the price of pancake mix and the total is 6.10.
Answer:
x = -8/3
Step-by-step explanation:
1/2x+3 = 2/3+1
Combine like terms
1/2x+3 = 2/3 + 3/3
1/2x + 3 = 5/3
Subtract 3 from each side
1/2x + 3-3 = 5/3 - 3
1/2x = 5/3 - 9/3
1/2x = -4/3
Multiply each side by 2
1/2x *2 = -4/3*2
x = -8/3
9. $112.50 / 9 lawns = $12.50 per lawn
10. $122.50 / 7 lawns = $17.50 per lawn
11. $112.50 / 7.5 hours = $15.00 per hour
$122.50 / 5 hours = $24.50 per hour
Alastair earns more per hour
12. Taryn: 49 more hours ($735 / $15.00)
Alastaie: 30 more hours ($735 / $24.50)
You found how much money they charge per hour in 11 so use that to find how many hours it takes to earn $735.
