Answer:
option C is correct.
Step-by-step explanation:
Checking equation A
Checking equation B
Checking equation C
Checking equation D
Hence, only option C is correct.
Hi again!
2x - y = 80
5y = x
P.S. Are you struggling with Algebra, equations and inequations....my advice to you is to start using Khan Academy. It will help you a lot!
Ok stop talking and let's get to work!
We need to solve 2x - y = 80 for y
2x - y = 80
-y = 80 - 2x
Multiply both sides by -1 because y cannot be negative
-y * -1 = -1(80 - 2x)
y = 2x - 80
Now we can substitute 2x - 80 for y in 5y = x
5y = x
5(2x - 80) = x
Use the distributive property
(5)(2x) + (5)(-80) = x
10x - 400 = x
Add -x on both sides
10x - 400 - x = x - x
9x - 400 = 0
Add 400 on both sides
9x - 400 + 400 = 0 + 400
9x = 400
Divide both sides by 9
9x/9 = 400/9
x = 400/9
To find y, we can substitute 400/9 for x in y = 2x - 80
y = 2x - 80
y = 2(400/9) - 80
y = 800/9 - 80
y = 800/9 - 80/1
y = 800/9 + -720/9
y = (800 - 720)/9
y = 80/9
Thus,
The answers are: y = 80/9 and x = 400/9
As always, it is my pleasure to help students like you
Answer:
3 < x < 17
Step-by-step explanation:
triangle inequality theorem: the sum of any two sides must be greater than the third
7 + 10 > x; x < 17
7 + x > 10; x > 3
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since 
. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
, so the sum is 1620.
Answer:
B
Step-by-step explanation:
y=-2x+2
y=mx+b
m is slope so.here m is -2
y=-2+10.passes through the point (3,-4)
because -4=-2*3+2
-4=-6+2
-4=-4
