Shantel offers online tutorial services. She charges $25.00 an hour per student. Her budget tracker reflects a total of $3,200.00 monthly expenses. How many hours must Shantel work each month to earn a monthly profit of at least $600.00?(1 point)
Let's calculate Shantel's monthly expenses first: $3200
Next, let's determine her desired profit: $600
Now, let's find the total cost of her expenses and desired profit: $3200 + $600 = $<<3200+600=3800>>3800
To find the number of hours Shantel must work, we need to divide the total cost by her hourly rate: $3800 / $25 = <<3800/25=152>>152 hours
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.
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La’Shondra solves the inequality 6+3x≤24. She begins by subtracting 6 from both sides of the inequality and then divides both sides of the equivalent inequality by a number. What is the number?(1 point)
To solve the inequality 6 + 3x ≤ 24, La'Shondra subtracts 6 from both sides:
6 + 3x - 6 ≤ 24 - 6
This simplifies to:
3x ≤ 18
To isolate x, La'Shondra then divides both sides of the inequality by 3:
3x/3 ≤ 18/3
This simplifies to:
x ≤ 6
So the number La'Shondra divided both sides of the inequality by is 3.
Solve the inequality Rx>10, where R is a number greater than 0.(1 point)
To solve the inequality Rx > 10, where R is a number greater than 0, we divide both sides by R:
Rx/R > 10/R
Simplifying, we get:
x > 10/R
Since R is a number greater than 0, dividing by R does not change the direction of the inequality. Therefore, the solution is:
x > 10/R
Solve the inequality Ay+3<12, where A is a number greater than 0.(1 point)
To solve the inequality Ay + 3 < 12, where A is a number greater than 0, we can subtract 3 from both sides of the inequality:
Ay + 3 - 3 < 12 - 3
This simplifies to:
Ay < 9
Next, we need to divide both sides of the inequality by A. Since A is a number greater than 0, dividing by A does not change the direction of the inequality. Therefore, the solution is:
y < 9/A
So, for any value of A that is greater than 0, the inequality Ay + 3 < 12 is satisfied when y is less than 9/A.