Answer:
8(y + 27) ≤ -15
Step-by-step explanation:
In the given inequality statement, "Eight times the sum of a number and 27 is <u>at most</u> "-15""
The first part, "Eight times the sum of a number and 27" means that 8 is multiplied to the sum of y and 27. While the phrase "at most" means "<u>less than or equal to</u> (≤)" The phrase also implies that the value of y can be -15, or any value less than -15.
Therefore, the correct algebraic expression is: 8(y + 27) ≤ -15
Set up two equations.
s + 12 = l , s + l = 74 (these equations represent the problem)
s + (s + 12) = 74 plug in "l" to the second equation.
2s + 12 = 74 combine like terms.
2s + 12 - 12 = 74 - 12 subtract to isolate the variable
2/2s = 62/2 divide to isolate the variable.
s = 31. This means the smaller number is 31.
31 + 12 = 43. since the larger number is 12 more than the smaller, add 12.
l = 43 the larger number has a value of 43.
small number = 31
larger number = 43
hope this helps! :D
Solve for n in 270=120 + n*10. 120 gives you first 30 minutes and n is the number of additional 10 minutes you ride. In this case you ride for 30+n*10 minutes. n = (270-120)/10 = 15. So the total time is 30+15*10 = 180 minutes. Or three hours!! That’s a lot of bumper cars!!
