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.
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
------------------------------------------------------------------------------------------------------------
6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
If you would like to solve the above problem, you can do this using the following steps:
1.2 miles * 7 days = 1.2 * 7 = 8.4 miles ... Multiply 1.2 by 7.
2.4 miles * 7 days = 2.4 * 7 = 16.8 miles ... Multiply 2.4 by 7.
8.4 miles + 16.8 miles = 25.2 miles ... Add the two products.
The correct result would be A.
Q. 1 is y=1 passes through that point
Q.2 is x= 1
Answer:
f(2) = 31
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
f(x) = 8x² - 1
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(2) = 8(2)² - 1
- [Order of Operations] Simplify: f(2) = 31