Let be "x" the number of colored pencils in the box.
According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.
Knowing this information, you can set up the following equation:

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

The answer is: There are 31 colored pencils in the box.
Answer:
1047 m = c
Step-by-step explanation:
Given : Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month.
To Find:Which equation represents the amount he pays her month if m=months and c=total rent paid for the year?
Solution :
Since he pays for a year (12 months) = $12,564
Since His rent is a constant amount each month.
He pays for one month = 
Thus the amount he pays per month $1047
If he pays for m months then the total amount(c) of rent for m months
⇒1047 m = c
Hence equation represents the amount he pays her month if m=months and c=total rent paid for the year: 1047 m = c
Answer:
P(X>17) = 0.979
Step-by-step explanation:
Probability that a camera is defective, p = 3% = 3/100 = 0.03
20 cameras were randomly selected.i.e sample size, n = 20
Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97
Probability that more than 17 cameras are working P ( X > 17)
This is a binomial distribution P(X = r) 

P(X>17) = P(X=18) + P(X=19) + P(X=20)
P(X=18) = 
P(X=18) = 
P(X=18) = 0.0988
P(X=19) = 
P(X=19) = 
P(X=19) = 0.3364
P(X=20) = 
P(X=20) = 
P(X=20) = 0.5438
P(X>17) = 0.0988 + 0.3364 + 0.5438
P(X>17) = 0.979
The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch
2.0e-6
Is the answer to your question
Answer:
12
Step-by-step explanation:
You set up cross multiplication 3/4 x 9/x, you go 4x9=36 divided by 3 equals 12