Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
Answer:
The slope of this line is 7/4 or 1.74 in decimal form.
m = 7/4 OR m = 1.75
Step-by-step explanation:
slope = y^2 - y^1 / x^2 - x^1
Let's pick any two points from the graph: (-1, -3) and (3, 4)
m = y^2 - y^1 / x^2 - x^1
m = 4 - (-3) / 3 - (-1)
m = 4 + 3 / 3 + 1
m = 7/4
m = 1.75
Answer:
Step-by-step explanation:
y = k*x This is the formula for a direct variation.
- y = 20
- x = 4 Substitute these values into the direct variation
20 = 4 * k Divide by 4
20/4 = 4k/4
k = 5
Answer: the constant of variation is 5
Answer:
100 and 80
Step-by-step explanation:
Let x = be the first angle
x-20 is the second angle
They are supplementary so they add to 180
x+x-20 = 180
Combine like terms
2x-20 =180
2x-20+20 =180+20
2x= 200
Divide by 2
2x/2 = 200/2
x= 100
The first angle is 100 and the second is x-20
x-20 = 100-20=80
The two angles are 100 and 80
Answer:
c = 1/7
Step-by-step explanation:
Here we have to solve the linear equation.
We need to find the value of c.
5 = 6 - 7c
Isolate the variable and constants
Add 7c on both sides, we get
7c + 5 = 6 - 7c + 7c
7c + 5 = 6
Subtract 5 from both sides, we get
7c + 5 - 5 = 6 - 5
7c = 1
Dividing both sides by 7, we get
c = 1/7
Thank you.
