1) 6p + 12 - 2 = 8p + 4

6p + 12 - 2 = 8p + 4

6p + 10 = 8p + 4

6p - 8p = 4 - 10

-2p = -6

2p = 6

p = 3

p = 3

Step-by-step explanation:

First, simplify. Combine like terms. Like terms are terms with the same variable as well as same amount of said variable:

6p + (12 - 2) = 8p + 4

6p + (10) = 8p + 4

Isolate the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Addition

Subtraction

First, subtract 8p and 10 from both sides of the equation:

6p (-8p) + 10 (-10) = 8p (-8p) + 4 (-10)

6p - 8p = 4 - 10

-2p = -6

Next, isolate the variable, p, by dividing -2 from both sides of the equations:

(-2p)/-2 = (-6)/-2

p = -6/-2

p = 3

3 is your answer.

~

answer: 2/4

step-by-step explanation:

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;