Answer:
The answer is 7/24
Step-by-step explanation:
Rewriting our equation with parts separated
=2+16−1−78
Solving the whole number parts
2−1=1
Solving the fraction parts
16−78=?
Find the LCD of 1/6 and 7/8 and rewrite to solve with the equivalent fractions.
LCD = 24
424−2124=−1724
Combining the whole and fraction parts
1−1724=724
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
136−158
Applying the fractions formula for subtraction,
=(13×8)−(15×6)6×8
=104−9048
=1448
Simplifying 14/48, the answer is
=724
Hope I helped :)
We can define the speed as the quotient between the distance moved, and the time it takes to move that distance, so we have:
<u>speed = Distance/Time.</u>
Now we can rewrite this as:
<u>Distance = Speed*Time.</u>
We will find that the speed of the car was 21 mi/h.
Here the information given is:
Mr. Pipkins speed is: S = 3.5 mi/h
The car needed 27 "steps" to reach the corner.
Mr. Pipkins needed 27 + 135 = 162 "steps" to reach the same corner.
Because the number of steps is related to time and distance, the ratio between the number of steps should be the same as the ratio between the speeds:
162/27 = 6
(Pipkins needed 6 tomes more steps than the car, so the car moves 6 times faster than Pipkins)
This means that the speed of the car is 6 times larger than the speed of Mr. Pipkins.
Then the speed of the car is:
S' = 6*(3.5 mi/h) = 21 mi/h.
If you want to learn more, you can read:
brainly.com/question/24594539
Answer:
x ≥ - 9
Step-by-step explanation:
The expression inside the radical must be greater than or equal to zero
9 + x ≥ 0 ( subtract 9 from both sides )
x ≥ - 9 ← domain
Answer:
x = 4
Step-by-step explanation:
1.3x - 10 = 0.8x - 8
Add 10 to both sides.
1.3x = 0.8x + 2
Subtract 0.8x from both sides.
0.5x = 2
Divide by 0.5.
x = 4.
Proof:
1.3x - 10 = 0.8x - 8
1.3(4) - 10 = 0.8(4) - 8
5.2 - 10 = 3.2 - 8
-4.8 = -4.8
Answer:
8
Step-by-step explanation:
The discriminant of ax² + bx + c = 0 is b² − 4ac.
Here, a = -1, b = 4, and c = -2.
b² − 4ac
(4)² − 4(-1)(-2)
16 − 8
8