Answer:
150 minutes (2.5 hours)
Step-by-step explanation:
We must consider that the total time that the radio program lasted represents the 100%.
Of that 100% we are told that 20% is dedicated to commercials. So the 30 minutes of commercials correspond to 20% of the air time, which can be represented in the following table:
Percentage of time time
20% ⇒ 30min
and we are looking for how long the show was on the air (the 100%).
So updating the table( I will call x the total time on the air):
Percentage of time time
20% ⇒ 30min
100% ⇒ x
This reationship between three values can be solve by the<u> rule of three</u>: multiply the cross quantities on the table (100 by 30) and divide by the remaining amount (20):
x = 100*30 / 20
x= 3000 / 20
x = 150 minutes
The radio show was 150 minutes (2.5 hours) long.
17. 55 + m ≥ 55
18. 210 / 7 = 30 h
h ≥ 30 hours
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
Answer: y= -3x
(there is no y-intercept in the points you listed so if you can find one on a picture of your question, do so. but since i do not see a given y-intercept, i assume it is 0)
To find the slope, use the two points given.
1st: subtract the y-values. 0-6= -6.
2nd: subtract the x-values. 0-(-2)= 2
3rd: you have -6/2.
4th: simplify to get a slope of -3.
They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.
