To determine if 30,150 resistors is enough to make 1,922 radios, we do ratio and proportion. In this kind of solution, we base it on a fixed ratio as given by 15 working resistors is to 1 radio. Moreover, you are given an additional detail of probability. All you have to do is multiply the probability to the total resistors to determine the exact amount of working resistors. Since the probability of defect is 1/25, by difference, the probability of a working resistor is 1-1/25 = 24/25.
Therefore,
15/1 ≤ 30150(24/25)/1922
15 ≤ 15.06
The symbol '≤' means less than or equal to. It is the inequality to be used because 15/1 is the minimum limit. As long as the ratio is equal to 15 or more than 15, then 30,150 is enough to make 1,922 radio. Since it is true that 15.06 is greater than 15, then the amount of resistors would be enough.
1. write the conversion as a fraction (that equals one).
2. multiply it out (leaving all units in the answer).
3. cancel any units that are both top and bottom.
Answer:
$351.00
Step-by-step explanation:
Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.
Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the <em>dollar amount of sales. </em>Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.
We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.
Hopefully this helped a bunch! And tell me if you need any further assistance. ( :
I can't see the math problems.
We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48
