Solving the system we get, x= -1, y= -2 and z= 0
Step-by-step explanation:
Solving the equations to find x, y and z
Adding eq(1) and eq(2)
Adding eq(2) and eq(3)
Multiplying eq(4) by 3 and eq(5) by 2
So, value of z =0
Putting value of z in eq(4)
So, value of x = -1
Now putting value of z=0 and x =-1 in equation 1
So, value of y = -2
So, solving the system we get, x= -1, y= -2 and z= 0
Keywords: Solve the system
Learn more about Solve the system at:
#learnwithBrainly
3x + 2y = 10 ....multiply by -4
12x + 5y = 25
-------------------
-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5
3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0
solution is (0,5)
Answer:
A. The reference angle should be pi/3, and the sign of the value should be negative.
Step-by-step explanation:
Just took the unit review.
Answer: 35 additional teachers are needed
-------------------------------------------------
-------------------------------------------------
Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
-------------
Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
Answer:
6 times
Step-by-step explanation:
1/9 chance you get the orange marble. If you pick 54 times, you can expect to get the orange marble 6 times.
