3x + y = 1 y + 4 = 5x what is the resulting equation?

The value of x and y for the given expression is

( x , y ) = (   , )

Step-by-step explanation:

Given algebraic expression as :

3 x + y = 2      .....A  and

y + 4 = 5 x

Or, y = 5 x - 4         .........B

Now, Solving both equation to get x and y value

So, 3 x + y = 2  

or,  3 x + ( 5 x - 4 ) = 2

Or, 3 x + 5 x - 4 = 2

or, 8 x = 2 + 4

Or, 8 x = 6

∴  x =

or, x =

Now, Put the value of x in eq B

y = 5 x - 4

Or, y = 5 ×   - 4

or, y =  

∴   y =

Hence The value of x and y for the given expression is

( x , y ) = (   , ) Answer

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;