Questions in mathematics

Questions in mathematics

[Done] “You can earn money by tutoring for $8 per hour and by walking dogs for $7.50 per hour. You have 15 hours available to work. What is the greatest number of hours you can spend walking dogs and still make at least $115?” Solve for the number of hours spent walking dogs.

[Done] Factor using the GCF: \[6x^3 - 9x^2 + 12x\]

[Done] How do you solve \( 15 - \frac{w}{4} = 28 \)? If an explanation is possible, please include one so I can figure out similar equations like this one.

[Done] Find two supplementary angles such that the measure of the first angle is 38° less than three times the measure of the second.

[Done] Maya works 16 hours per month at her part-time job earning $6.75 per hour. She earns some additional money house sitting for neighbors and friends. Maya charges $30 per day to house sit if there are no pets. If the house sitting includes pets, then she charges $40 per day. Last month, Maya spent 3 days house sitting with no pets and 5 days house sitting with pets. What is the total amount of earnings Maya had for the month? a. $270 b. $290 c. $378 d. $398

[Done] Solve for \( d \). \[ 14d - 2d = -84 \]

[Done] Solve each equation by completing the square. If necessary, round to the nearest hundredth. Please show all steps. 1. [tex]b^2 + 10b = 75[/tex] 2. [tex]n^2 - 20n = -75[/tex] 3. [tex]t^2 + 8t - 9 = 0[/tex] 4. [tex]m^2 - 2m - 8 = 0[/tex] 5. [tex]v^2 + 4v - 2 = 0[/tex]

[Done] Find the value of \(c\) such that each expression is a perfect-square trinomial. Please show all steps. 1. \(x^2 - 16x + c\) 2. \(p^2 - 14p + c\) 3. \(b^2 + 18b + c\) 4. \(n^2 - n + c\)

[Done] What two numbers multiply to 42 but add up to 17?

[Done] 42 is 21% of what number?