Answer:
The solution to the given system of equations is (-2,
)
Therefore the values of x and y are x=-2 and 
Step-by-step explanation:
Given equations can be written as

Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get




Therefore the values of x and y are x=-2 and 
The solution to the given system of equations is (-2,
)
Answer:
125 students attend.
Step-by-step explanation:
We already know that the drama club made $500 (500 - 400 = 100)
divide 500 by 4 to find out how many students attend the play, and paid $4
500 ÷ 4 = 125
125 students attend.
Answer:
26/35
Step-by-step explanation:
Each fraction is increasing by 1/35. Therefore, 25/35 + 1/35 = 26/35.
Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of
our slope because
in this step. In our case our slope is
so in this step it becomes
.
Moving onto the second part which is to get the reciprocal of the number which means that if we have
then we would switch it to
. In our case our number is
so we would make that into a fraction like this
.
In conclusion, our final slope of the perpendicular line is
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
Answer:
Naomi will get paid $630 if she only works 30 hours this week.
Step-by-step explanation:
You divide 840 by 40 to see how much you get paid per hour.
Once you do that you get $21 per hour.
You multiply 21 by 30 to know how much you'd be paid for working 30 hours.
You get your final answer which is $630.