<h3>
Answer: 7t + 12(86-t)</h3>
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Explanation:
- t = number of hours she worked as a tutor
- 86-t = number of hours she worked as a waitress
The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.
- 7t = amount earned as a tutor
- 12(86-t) = amount earned as a waitress
We multiply the number of hours by the wage per hour to get the amount earned per job.
Lastly, we add those two subtotals to get the grand total earned
7t + 12(86-t)
Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.
If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032
Answer:
Step-by-step explanation:
1. 8 seconds
2. 15 quarts
the x's are multiply
that is the associative poprety of multiplcation
so
(ab)c=a(bc)
so
(3x10)x8=3x(10x8)
<span>Here you go:
1) Applying (a + b)² = a² + b² + 2ab,
(cosx + cosy)² = cos²x + cos²y + 2cos(x)*cos(y) and
(sinx + siny)² = sin²x + sin²y + 2sin(x)*sin(y)
2) ==> (cosx + cosy)² + (sinx + siny)² =
= (cos²x + sin²x) + (cos²y + sin²y) + 2{cos(x)cos(y) + sin(x)sin(y)}
= 2 + 2{cos(x - y)} = 2[1 + cos(x - y)]
= 2*2cos²{(x - y)/2} [Multiple angle identity, 1 + cos(2A) = 2cos²A]
= 4*cos²{(x - y)/2} [Proved]</span>
