Answer:
$123.48 per week
Step-by-step explanation:
$ = (13.72)(9)
Multiply:
$123.48
Answer:
≈0.487
Step-by-step explanation:
I think this is your full question right?
Jose surveyed the length of TV commercials (in seconds). Find, to 3 decimal places, the experimental probability that a randomly chosen TV commercial will last:
Length Frequency
0-19 17
20-39 38
40-59 19 20 to 39 seconds.
60+ 20 to 4
Here is my anwer:
experimental probability = relative frequency =
Total frequencies = 17 + 38 +18 + 4 = 78
P(20 to 39s) = 38/78 ≈0.487
Answer:
- 96
- 6.9
- 25%
- 8%
- 79
- 33.8
Step-by-step explanation:
Here is the complete question: Find each number. Round to the nearest tenth if necessary.
- 80% of 120.
- 115% of 6
- What percent of 128 is 32?
- 3 is what percent of 36?
- 23.7 is 30% of what number?
- 71/2% of what is 12?
1) 80% of 120
= 
= 96
∴ 80% of 120= 96
2) 
=
∴
= 6.9
3) What percent of 128 is 32?
= 
= 
4) 3 is what percent of 36?
= 
= 
5) 23.7 is 30% of what number?
Let the number be "x".
⇒ 
Cross multiplying
⇒ 
∴ x= 79.
6) 71/2% of what is 12?
Lets assume the required number be "x".
⇒ 
cross multiplying both side.
⇒x= 33.8
∴ 71/2% of 33.8 is 12
Answer:
x=10
y=-3
Step-by-step explanation:
3x + 5y= 15...eqn. 1
2x + 4y= 8...eqn. 2
multiply eqn. 1 by 2 and eqn. 2 by 3
6x + 10y = 30...eqn. 3
<u>6x</u><u> </u><u>+</u><u> </u><u>12y</u><u> </u><u>=</u><u> </u><u>24...eqn. 4</u>
0 - 2y = 6
divide both sides by the coefficient of y which is -2
<u>- 2y</u> = <u>6</u>
- 2 -2
y= -3
Put y= -3 into eqn. 1
3x + 5(-3) = 15
3x - 15 = 15
3x =15 + 15
<u>3x</u> =<u> 30</u>
3 3
x = 10
Therefore X= 10 and Y= -3
<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>

Because 7 is being added to x, subtract it from both sides:

Because x is being multiplied by 5, divide both sides by 5:

Therefore.
.
<h3>Question 2</h3>

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

To isolate x, subtract 4 from both sides:

Divide both sides by 2:

Therefore,
.