Answer:
see attached diagram
Step-by-step explanation:
First, draw the dashed line 50x+150y=1500 (dashed because the inequality is without notion "or equal to"). You can do it finding x and y intercepts.
When x=0, then 150y=1500, y=10.
When y=0, then 50x=1500, x=30.
Connect points (0,10) and (30,0) to get needed dashed line.
Then determine which region (semiplane) you have to choose. Note that origin's coordinates (0,0) do not satisfy the inequality 50x + 150y>1500, because
This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).
Answer: he could watch a maximum of 6 movies with plan A and still pay the same but the better deal is plan B. I hope that this helps! :)
Step-by-step explanation:
Answer:
the answer is the first one
Answer:
60 for both
Step-by-step explanation:
Since these angles are parallel, they are equal to each other :
6x = 5x + 10
Subtracting 5x from both sides gives us :
x = 10
Substituting this value back into both angles gives us
6x = 60
5x+10 = 60
Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is
The nth term of an AP is
Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get
Putting n=52, we get
Therefore, the equation for the nth term of the given sequence is and the 52nd term of the sequence is -212.
