a recipe needs 4/5 cup(s) of sugar for every 3 cups of flour. if you plan to use 7 1/2 cups of flour, how much sugar will you need?

2 cups of sugar

Step-by-step explanation:

Set up a proportion where x is the amount of sugar for 7.5 flour cups

=

Cross multiply and solve for x:

3x = 6

x = 2

So, you will need 2 cups of sugar

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x