Answer: ![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
Step-by-step explanation:
Given
Sean paints
of a fence in 1 hour
Sean paints
part less in the second hour
So, fraction he paints in the second hour = ![\frac{8}{15}-\frac{3}{10}=\frac{16-9}{30}=\frac{7}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B15%7D-%5Cfrac%7B3%7D%7B10%7D%3D%5Cfrac%7B16-9%7D%7B30%7D%3D%5Cfrac%7B7%7D%7B30%7D)
Paint in 2 hours = ![\frac{8}{15}+\frac{7}{30}=\frac{16-7}{30}=\frac{9}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B15%7D%2B%5Cfrac%7B7%7D%7B30%7D%3D%5Cfrac%7B16-7%7D%7B30%7D%3D%5Cfrac%7B9%7D%7B30%7D)
=![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
No, he did not finish his job
Jamie get's $10,000 dollars added onto her annual paycheck after 10 years.
Wei on the other hand, get's $15,000 dollars added onto his annual paycheck after 10 years.
Jamie's total: $35,000
Wei's total: $34,000
So Jamie would have a better pay than Wei for 10 years, but after that Wei will take the lead.
Answer:
X = 8
Step-by-step explanation:
Answer:
Total distance covered by the bird is 6.07 km.
Step-by-step explanation:
When a bird begins to fly distance of the runner from the finish line = 4.1 km
Speed of the bird = 10.2 km per hour
Therefore time taken by the bird to cover 4.1 km = ![\frac{\text{Distance}}{\text{Speed}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7BSpeed%7D%7D)
= ![\frac{4.1}{10.2}](https://tex.z-dn.net/?f=%5Cfrac%7B4.1%7D%7B10.2%7D)
= 0.402 hours
Distance covered by the runner in 0.402 hours = Speed × time
= 3.4×0.402
= 1.3667 km
Now the distance between the bird at the finish line and the runner = 4.1 - 1.3667 = 2.6332 km
Now the runner and bird are moving towards each other.
When they meet each other they will cover the total distance of 2.6332 km in equal time.
If the bird covers the distance = x km, then the distance covered by the runner = (2.6332 - x) km
Now time taken by the bird = time taken by the runner
![\frac{x}{10.2}=\frac{2.6332-x}{3.4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B10.2%7D%3D%5Cfrac%7B2.6332-x%7D%7B3.4%7D)
3.4x = 26.86 - 10.2x
3.4x + 10.2x = 26.86
13.6x = 26.86
x = ![\frac{26.86}{13.6}](https://tex.z-dn.net/?f=%5Cfrac%7B26.86%7D%7B13.6%7D)
x = 1.97 km
Total distance covered by the bird = 4.1 km + 1.97 km
= 6.07 km
Therefore, total distance covered by the bird is 6.07 km.
Answer:
correct
in my calculations I giest