Answer:
20 and 50
Step-by-step explanation:
x + y = 70
y = 2x + 10
Use the substitution method:
y = 70 - x
y = 2x + 10
70 - x = 2x + 10
3x = 60
x = 20
x + y = 70
20 + y = 70
y = 50
<u>x = 20</u>
<u>y = 50</u>
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Answer: 180 cookies
Step-by-step explanation: If 1.75 cups of flour is required to make a batch and the bakery used 5.25, the bakery made 3 batches, since 1.75(3) is 5.25. One dozen is 12 cookies, and there are 5 dozen cookies in each batch. If there are 3 batches, then there are 15 dozens of cookies. 15(12) is 180.
Answer:
3m -5
Step-by-step explanation:
3(m - 3) + 4
Distribute
3m -9 +4
Combine like terms
3m -5
Answer:
1 over x 2
Step-by-step explanation:
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Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) = 
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
