Answer: 5/24
Explanation: To subtract unlike fractions such as 7/8 - 2/3, first find a common denominator. The common denominator of 8 and 3 will be the least common multiple of 8 and 3 which is 24.
To get a 24 in the denominator of 7/8, we multiply both the numerator and the denominator by 3 to get 21/24.
To get a 24 in the denominator of 2/3, we multiply both the numerator and the deliminator by 8 and to get 16/24.
Now we are subtracting like fractions since both fractions have the same denominator or bottom number of 16.
To subtract like fractions, we simply subtract the numerators and keep the same denominator. So here, we have 21/24 - 16/24 which is 5/24.
Since 5/24 is in lowest terms, it's our final answer.
This means that 7/8 - 2/3 is 5/24.
The amount you sleep at night
This is independent because the energy you have during the day relies on how much you have slept
Answer:
15
Step-by-step explanation:
Since the total degrees of ANY triangle is 180 degrees, start by subtracting 63 and 45 by 180.
180-63-45=72
Now take the 12 from (4x-12) and subtract that from 72.
72-12=60
Now divide 60 by 4 from the 4x.
60/4=15.
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<u>Solution</u><u>:</u></h2>
We have,
- Departing time = 10 : 45 hours
- Distance between home and airport = 325 km
- Average speed = 50 km/h
Finding time taken by the man,
⇛ Average speed = Total Distance/Total time
⇛ Total time = Total Distance/Average speed
⇛ Total time = 325 km/50 km/h
⇛ Total time = 6.5 h (6 hrs 30 mins)
(a) Total Time duration,
⇛ Total Time = Reaching Time - Departing time
⇛ 6.5 h = Reaching Time - 10 : 45 hours
⇛ Reaching Time = 17 : 15 hours ( 5 : 15 pm)
(b) Finding time taken in return,
- Departing time = 18 : 35 hours
- Reaching time = 23 : 10 hours
Total time duration,
⇛ Total Time = Reaching Time - Departing time
⇛ Total Time = 23 : 10 hours - 18 : 35 hours
⇛ Total Time = 22 : 70 hours - 18 : 35 hours
⇛ Total time = 4 : 35 hours
☕ Hence, solved !!
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Answer:
Choose an equation that has this same slope or the same coefficients of x and y - 2x + 3y.
Step-by-step explanation:
Parallel lines are lines which do not intersect. As a result they have the same slope. The line here is 2x + 3y = 12 which can be rearranged into slope intercept form to find the slope.
2x + 3y = 12
3y = 12 - 2x
y = 4 - 2/3 x
The slope of the line is -2/3. Choose an equation that has this same slope or the same coefficients of x and y - 2x + 3y.
