23 points! show proof of your work! dont comment unless you know!
there are 3 cats for every dog at an animal shelter. which choice could be the total number of cats and dogs at the shelter.
group of answer choices

27

32

42

55
evaluate (solve) the following:

6/7+1/2

you can answer as a fraction, improper fraction, or mixed number in the simplest term.
the sailboat has 1 large sail and one small sail. the large sail is 24 feet tall. the base of the sail is 12 feet long. what is the area of the large sail?

remember that a sail is a triangle!

Solve -2(4y + 6) = 52. 5 -5 8 -8 and !

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)