Answer:
x = 13/3
Step-by-step explanation:
4(8x-3) - 30x = 5(x-5)
Distribute
32x - 12 - 30x = 5x -25
Combine like terms
2x -12 = 5x-25
Subtract 2x from each side
2x-12-2x = 5x-2x -25
-12 = 3x-25
Add 25 to each side
-12+25 = 3x-25+25
13 = 3x
Divide each side by 3
13/3 = x
Basically its 250 + 16x = 210 + 18x where x = the number of hours doing the job.
Solving, we get 40 = 2x, x =20
The jobs has to be 20 hours long in order for their two painting jobs to be equally priced.
Hope this helped!
The number of pennies in bank is 42
<em><u>Solution:</u></em>
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in piggy bank
Let 3x be the number of quarters in piggy bank
<em><u>To find: number of pennies</u></em>
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in bank is 42
Answer:

Do not reject 
Step-by-step explanation:
From the question we are told that
Sample size 
Sample size 
Sample proportion 1 
Sample proportion 2 
95% confidence interval
Generally for 95% confidence level
Level of significance


Therefore

Generally the equation for confidence interval between
is mathematically given as





Therefore
Confidence interval is

Conclusion
Given the confidence interval has zero
Therefore do not reject 