A rectangular blanket for a child that measures 3 feet by 4 feet is made. A border that is exactly 6 square feet is to be created around the blanket. Which equations represent the required width of the border, x? Select all that apply A. (3+x)(4+x)=18 B. (3+2x)(4+2x)=18 C. (3+x)(4+x)-3(4)=6 D. (3+2x)(4+2x)=6 E. (3+2x)(4+2x)-3(4)=6

(4+2x)(3+2x) =18

Step-by-step explanation:

Given: A rectangular blanket for a child that measures 3 feet by 4 feet is made.

Area of border = 6 sq. feet

Area of rectangle = Length x Breadth

Then Area of blanket= 3 feet x 4 feet = 12 sq.feet

Combined area including border = 6 +12 = 18 sq. feet   (i)

Let x = width of border

New length = 4 +x+x = 4+2x feet

New breadth = 3+x+x = 3+2x feet

Combined area including border  = (4+2x)(3+2x)(ii)

From (i) and (ii), we get

(4+2x)(3+2x) =18 (Required equation)

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;