the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator

11

Step-by-step explanation:

Given Fraction

Let the denominator = x

The numerator is 2x + 1

2x + 1

x

The new fraction

2x + 1 + 4

x + 4

Equation

2x + 5               5

   =    

x + 4                 3

Solution

Cross Multiply

3(2x + 5) = 5(x + 4)  

Remove the  brackets

6x + 15 = 5x + 20

Subtract 5x from both sides

6x - 5x + 15 = 20  

Subtract 15 from both sides

x = 20 - 15

x = 5

Answer

2(5) + 1 = 11

The original numerator is 11

the least common denominator is 40

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;