To save money for prom in two weeks, Atlas is going to walk his neighbor’s dog for $10 per hour and wash cars for $15 per hour. His father said he can work no more than 35 hours to ensure he keeps up with his homework. Atlas needs to make at least $350 to cover his prom expenses.

x + y ≤ 35

10x + 15y ≥ 350

Step-by-step explanation:

Given:

Cost to stay with dog per hour = $10

Car wash per hour = $15

Find:

Equation

Computation:

Assume;

Hour for dog = x

Hour for car = y

So,

x + y ≤ 35

10x + 15y ≥ 350

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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