Answer:
7 ( 3x + 5y) = <u>21x+35y</u>
<u>Step-by-step explanation:</u>
<u>Step 1 : </u> apply the distributive law. <u>("the law relating the operations of multiplication and addition")</u>
<em>a ( b + c ) = ab + ac</em>
7 ( 3x + 5y) = 7 x 3x + 7 x 5y
<u>Step 2 : simplify </u>7 x 3x + 7 x 5y
So, the answer is <u>21x+35y</u>
Brainliest? :D and hope this helps!
Learn more about Distributive Property:
<u>brainly.com/question/2807928</u>
Answer:
I'm guessing 170 miles.
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Answer:
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<em>The team must win 2 games to have a win : loss ratio o 2.</em>
Step-by-step explanation:
- <u>Ratio win : loss, r</u>:
r = total wins / total losses
Call n the number of new wins:
Tw =number of wins until so far + number of new win = 6 + n
Tl = number of losses so far + number of new losses = 4 + 0 = 4
r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2
Solve for n:
- (6 + n ) = 4 × 2
- 6 + n = 8
- n = 8 - 6
- n = 2
Hence,<em> the team must win 6 more games.</em>
- <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.
There are C(5,2) = 10 ways to choose 2 contraband shipments from the 5. There are C(11, 1) = 11 ways to choose a non-contraband shipment from the 11 that are not contraband. Hence there are 10*11 = 110 ways to choose 3 shipments that have 2 contraband shipments among them.
There are C(16,3) = 560 ways to choose 3 shipments from 16. The probability that 2 of those 3 will contain contraband is
110/560 = 11/56 ≈ 19.6%
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C(n,k) = n!/(k!(n-k)!)
t=D/r
Divide r by both sides to get t by itself.
