Answer:
X=4.2
Step-by-step explanation:
Simplifying 8x + -4 = 3x + 17 Reorder the terms: -4 + 8x = 3x + 17 Reorder the terms: -4 + 8x = 17 + 3x Solving -4 + 8x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 8x + -3x = 17 + 3x + -3x Combine like terms: 8x + -3x = 5x -4 + 5x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 5x = 17 + 0 -4 + 5x = 17 Add '4' to each side of the equation. -4 + 4 + 5x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 17 + 4 5x = 17 + 4 Combine like terms: 17 + 4 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2
Hope this helps :)
The underlined 2 in 222,222 is in the hundred thousand place (two hundred thousand)
the underlined 2 in 222,222 is in the ten thousand place (twenty thousand)
the underlined 2 in 222,222 is in the thousand place (two thousand)
the underlined 2 in 222,222 is in the hundred place (two hundred)
the underlined 2 in 222,222 is in the ten place (twenty)
the underlined 2 in 222,222 is in the ones place (two)
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Answer:
Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)
Liam's time was was 1 hour
So in conclusion, Liam was faster
Step-by-step explanation:
We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.
For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.
Hope this helps
The sum of angles in triangle is equal to 180 degrees, so we need to check the sum of 60, 60 and 70
60+60+70=190
190>180, so it's false
Answer: False
√10x-24 = x
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
