The distributive property <span> lets you multiply a sum by multiplying each addend separately first and then summing the products together.
Marla did 65 x 7 = 455 sit-ups during the week
65 sit-ups can be written as 60+5 sit ups or as 50+15 sit-ups or as 40+25 sit-ups (these are just examples)
Applying the distributive property:
Marla did: (60 x 7) + (5 x 7) = 455 sit-ups during the week, or
Marla did: (50 x 7) + (15 x 7) = 455 sit-ups during the week, or
Marla did: (40 x 7) + (25 x 7) = 455 sit-ups per week
You can try this with any two numbers whose sum is 65 and all will give you the same answer.
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We have an arithmetic progression:
Nth=an
an=a₁+(n-1)d
a₁ is the first term.
n=number of terms.
d=common difference
10,17,24,31...
a₁=10
d=a₂-a₁=17-10=7
Therefore:
Nth=an
an=a₁+(n-1)d
an=10+(n-1)7
an=10+7n-7
an=7n+3.
Therefore: the formula for the nth is, an=a+(n-1), in this case; an=7n+3,
To check:
a₁=7*1+3=10
a₂=7*2+3=17
a₃=7*3+3=24
a₄=7*4+3=31
a₅=7*5+3=38.......
Volume of cylinder A = π(12^2/4) x (40/2) = 2,262 cubic feet which will be hauled by locomotive BR73.
Volume of cylinder B = π(8^2/4) x 24 = 1,206 cubic feet which will be hauled by locomotive CG35.
Volume of cylinder C = π(16^2/4) x 16 = 3,217 cubic feet which will be hauled by locomotive YH61.
Volume of cylinder D = π(6^2/4) x 12 = 339 cubic feet which will be hauled by locomotive A450.
Answer:
13.30
Step-by-step explanation:
$79.80 / 6 hours = $13.30
New Workshop: 4,134,232,638,937
Old Workshop: 22,912,546,992
New/Old = 180.435
The new workshop can produce approximately 180 times as many toys as the old workshop.
