Questions in mathematics

Questions in mathematics

[Done] An equilateral triangle has an altitude length of 27 feet. Determine the length of a side of the triangle.

[Done] Rewrite the equation [tex]y = \frac{2}{3}x + 5[/tex] in standard form.

[Done] If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?

[Done] Using the formula [tex]a_n = a_1 r^{n-1}[/tex], what is the 10th term in this geometric sequence? [tex]0.2, 1, 5, 25, 125, \ldots[/tex]

[Done] How do I find the area of an equilateral triangle given the perimeter of 60 cm and the height of 17.3 cm?

[Done] A club with 30 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

[Done] How do you solve the following system of equations by substitution? 1. \(11x - 13y = 89\) 2. \(-11x + 13y = 107\)

[Done] What is the factored form of [tex]x^2 - 36z^2[/tex]?

[Done] If 10 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 8 men to survive for 36 days?

[Done] An oil tank has a capacity of 45 gallons. At the beginning of October, it is 80% full. At the end of October, it is \(\frac{1}{3}\) full. How many gallons of oil were used in October?