Answer:
X=7
Step-by-step explanation:
8x-2y=48
8x-2(4)=48
8x-8=48
8(7)-8=48
56-8=48
<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
She paid .43¢ or .44¢for each pound
Answer: 72
Step-by-step explanation:
From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.
The number of ways that the program for the segment be arranged will be:
= 9! / 7!
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)
= 9 × 8
= 72
answer:
measure of angle 1 is 130°.
step by step:
angle 8 = 50
angle 6 = 50 (because of vertical angles)
angle 4 = 50 (because fo alternate interior angles)
therefore, angle 1 = 130 (because of linear pairs)
angle 1 and angle 4 add up to 180°
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