QUICK QUICK PLEASE! 1 MINUTE ONLY! WITH EXPLANATION PLEASE!

Mr. Yen and Mrs. Barnes both have beautiful flower gardens. Mr. Yen has 7 rose bushes for every 3 lilac bushes. Mrs. Barnes has 9 rose bushes for every 4 lilac bushes. Whose garden has a higher lilac to rose ratio?

a) They have the same ratio.
b) Mrs. Barnes
c) Mr. Yen

b) Mrs. Barnes

Step-By-Step explanation:

Mrs. Barnes ratio is 9:4

Mr Yen ratio is 7:3

You find the common multiple of 7 and 9 which is 63

Mrs Barnes 9:4 (from 9 to 63, you multiply it by 7) so you do 4 times 7 which is 28.

Mrs Barnes new ratio is 63:28

Mr Yen 7:3 (from 7 to 63, you times 7 by 9) so you do 3 times 9 which is 27.

Mr Yen's new ratio is 63:27.

Compare the new ratios and as you can see, Mrs Barnes has a higher number of lilacs so her garden has a higher lilac to rose ratio

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the answer is 62.8 cubic units