Answer:
Step-by-step explanation:
-8 (x - 3y - 9) = distribute the -8 through the parenthesis
-8(x) - 8(-3y) - 8(-9) =
-8x + 24y + 72
this is the distributive property....u are distributing the -8 through the parenthesis...what that means is ur multiplying -8 by everything in the parenthesis....you do this to remove the parenthesis
Because you are given the ingredients for one batch, and you want the ingredients for four batches, you can multiply all of the original quantities by 4 to find the answers.
1 1/2 × 4
To do this, first convert 1 1/2 into a mixed number by doing 1 × 2 = 2, and 2 + 1 = 3, which would be the numerator. This then gives you
3/2 × 4/1, which simplifies to 12/2, which means your answer is 6.
1 × 4 = 4
1 × 4 = 4
3 × 4 = 12
3/4 × 4 = 3
(you cancel out the "/4" because you're multiplying by 4)
1 × 4 = 4
1/3 × 4/1 = 4/3
I hope this helps!
Answer: C
Step-by-step explanation:
I did that problem just a second ago
One fourth 1/4. just reduce five tenths to one half
For this case we have the following inequality: y < 3x + 1 < br/ >
What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.
The shaded region represents the solution of the system of equations.
For the point (0, 0) we have:
0 < 3(0) + 1 < br / >
0 < 0 + 1 < br / >
0 < 1 < br / >
Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.
Then, the points that are on the line, are not part of the solution because the sign is of less strict.
Hope I helped ~~Laurel