Answer:
38 attendees.
Step-by-step explanation:
Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!
<em>∠5 = 118</em>
Step-by-step explanation:
If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.
A straight line is equal to 180 so if we do...

= 118.
<u>∠5 will be equal to 118.</u>
If we go even further, because vertical angles are congruent...
∠7 = 62
∠8 = 118
Answer:
The net pay is $272.04 .
Step-by-step explanation:
As given in the question
Hours worked - 35, Hourly Wage -$9.50 .
Thus
Gross pay = Hours worked × Hourly Wage
Put all the values in the above
Gross pay = 35 × $9.50
= $ 332.5
As given
Federal tax - $35.02, Social Security tax - $25.44
Thus
Net pay = Gross pay - Federal tax - Social Security tax
Put all the values in the above
Net pay = $ 332.5 - $35.02 - $25.44
= $332.5 - $60.46
= $ 272.04
Therefore the net pay is $272.04 .
- (4, 5) and (4, -2) -
We can find the slope by using rise/run

As expected, the slope is indeed undefined. The denominator can't be 0 but this one has denominator that's 0 which is undefined.
Meaning that, when the x-value for both ordered pairs are the same, the slope will be undefined.
For the graph, It should be like this below in the picture.
The product of prime factors basically means to find the prime factors of this number and put them into an equation.
The answer to this question is 3 * 7 * 11