Question

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Algebra
multiple choice.

Answer 1

@jim_thompson5910

Answer 2

A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation?

2x + 3y < 60
3x + 2y < 60
2x + 3y > 60
3x + 2y > 60

Answer 3

A
correct

Answer 4

@mathmate

Answer 5

@zepdrix

Answer 6

2 hours per small rug: 2x
3 hours per medium rug: 3y

The sum of these time values should be less than 60 hours.
\(\large\rm 2x+3y<60\)

Yes, good job!

Answer 7

Thanks!
Can you help with some more?

Answer 8

Determine the solution to f(x) = g(x) using the following system of equations:

f(x) = 5.5x − 13
g(x) = −5x + 18.5

x = 1
x = 2
x = 3
x = 4

Answer 9

\[\large\rm f(x)\qquad~~=\qquad g(x)\]\[\large\rm 5.5x-13=-5x+18.5\]Solve for x.
Or, maybe easier, plug in the options and see which one works.

Answer 10

\[\large\rm 5.5\color{orangered}{x}-13=-5\color{orangered}{x}+18.5\]If we plug in x=1,\[\large\rm 5.5\color{orangered}{(1)}-13=-5\color{orangered}{(1)}+18.5\]Does the equation hold true?

Answer 11

no

Answer 12

3

Answer 13

yay good job

Answer 14

The graph below shows the solution to a system of inequalities:

Solid line joining ordered pairs 0, 3 and 7, 0. Shade the portion of the graph above the line in the first and fourth quadrant

Which of the following inequalities is modeled by the graph?

2x + 5y ≥ 14; x ≥ 0
2x + 5y ≤ 14; x ≥ 0
2x − 5y ≤ 14; x ≥ 0
−2x − 5y ≤ 14; x ≥ 0
@zepdrix