Mr. bergstrom has two water storage tanks near his vegetable garden. one morning, tank a contained 2 gallons more than 4 times
the number of gallons of water in tank b. at that time, tank a had a total of 46 gallons of water.
select the equation that represents the given situation and find the number of gallons of water in tank b.
a. 4x + 2 = 46,21 gallons
b. 2x + 4 = 46; 21 gallons
c. 2x + 4 = 46, 11 gallons
d. 4x + 2 = 46, 11 gallons

D. 4x + 2 = 46, 11 gallons

Step-by-step explanation:

First Part, Tank A = y , Tank B = x

y = 4x + 2

Second Part, Tank A = 46 so y = 46

46 = 4x + 2

44 = 4x

11 = x

Therefore, Tank B = 11 gallons

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;

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5