Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
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7 0

3 years ago

Uber is now charging a $2.50 flat rate in addition to $0.75 per mile for your ride. Janae can spend at most $13 on her Uber Ride

Alex777 [14]

Answer:

B: 10

Step-by-step explanation:

Full charge can be expressed as equation:

c = 2.5 + 0.75m, where c- charge, m- miles

The limit for charge is $13, then we got inequality:

0.75m + 2.5 ≤ 13
0.75m ≤ 9.5
m ≤ 9.5/0.75
m ≤ 12.66

Option B: 10 is correct as the only number satisfying the inequality

7 0

3 years ago

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Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.

alexandr1967 [171]

Answer:

Step-by-step explanation:

It's AoPS question

5 0

2 years ago

Read 2 more answers