Answer:
There are 27 quarters and 14 nickles
Step-by-step explanation:
<u>Step 1: Make a system of equations</u>
<em>n + q = 41</em>
<em>0.05n + 0.25q = 7.45</em>
<u>Step 2: Solve for n in the first equation</u>
<em>n + q - q = 41 - q</em>
<em>n = 41 - q</em>
<u>Step 3: Plug in n into the second equation</u>
0.05(41 - q) + 0.25q = 7.45
2.05 - 0.05q + 0.25q - 2.05 = 7.45 - 2.05
0.2q / 0.2 = 5.4 / 0.2
<em>q = 27</em>
<em />
<u>Step 4: Find the amount of nickels</u>
n = 41 - 27
<em>n = 14</em>
<em />
Answer: There are 27 quarters and 14 nickles
Answer:
<em>-4</em><em>×</em><em>(</em><em>-5</em><em>)</em><em>=</em><em>20</em>
<em>have a nice day</em><em> </em><em><</em><em>3</em>
Answer:
y = 54 (⅓)ˣ
Step-by-step explanation:
Assuming this is an exponential function:
y = a (b)ˣ
Plug in both points:
54 = a (b)⁰
2 = a (b)³
First equation simplifies to a = 54.
Solving the second equation:
2 = 54 b³
1/27 = b³
b = 1/3
y = 54 (⅓)ˣ
Answer:
The answer is 508
Step-by-step explanation:
Solution
First of all, the proportion of B is exceeds 0.5 in total.
Now,
To find the total of A it we have A =314 +512 = 826
The number of employed that choose B = 356
For us to have the proportion of B to be higher than the 0.5, the unemployed B from what is shown here should exceed the difference between total A and B employed
what this suggest is that the employed B is greater than 826-356 = 470
So,
The respondent that are unemployed that choose B must be greater than 470
Thus,
We recall that the B proportion among the unemployed respondent is lesser than .50
Thus suggests that the respondent that are unemployed who choose be is lesser than 512
The conditions becomes
470 lesser than the number of unemployed respondents who selected B lesser than 512
Hence the needed number of the number of unemployed respondents who chose B should be between 470 and 512
So, possible answer here is 508.
