Answer:
E=20H
Step-by-step explanation:
E =20 when H=1
there fore the amount he receives per working time will be 20*H
We can use linear combinations of the equations to eliminate variables.
3x - 4y = 1
-2x + 3y = 1
To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second.
9x - 12y = 3
-8x + 12y = 4
Adding,
x = 7
We could solve for y directly but let's use another linear combination, twice the first plus three times the second:
2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)
y = 5
Check: 3(7)-4(5)=1 good. -2(7)+3(5)=1 good.
Q18 Answer: (7,5)
y = -3x + 5
5x - 4y = -3
4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)
5x = -12x + 20 -3
17 x = 17
x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good
Q19 Answer (1,2)
6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good 2y+24=2(-7)+24=10=x good
Q20 Answer (10,-7)
3x + y = 18
-7x + 3y = -10
9x + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6
Check: 3(4)+6=18 good, -7(4)+3(6)=-10 good
Q21 Answer: (4,6)
To find the median you list out all the numbers and find the middle.
80, 90, 100
With angie getting 75, it goes from "80, 90, 100" to "75, 80, 90, 100"
This changes the median from 90 to 85.
Mean is the average of all the numbers. The average of the first set of numbers (Found by adding all of the numbers up and dividing by the amount of numbers present) is 90.
The mean of the second set is 86.25
The answer would be A, both the mean and median will decrease.
The third choice is the answer
Answer:
-1 is the inverse of 16 modulo 17.
Step-by-step explanation:
To find : An inverse of 16 modulo 17 i.e. 
?
Solution :
First we find the GCD of (17,16) using Euclid's algorithm,
Remainder is 1.
Which means, GCD(17,16)=1
Using back substitution we get,
i.e. -1 is the inverse of 16 modulo 17.
On comparing with
The value of x=-1.
