Questions in mathematics

Questions in mathematics

[Answered] What is the solution for the system of equations? 1. \( x = 5y - 1 \) 2. \( x + 2y = 13 \)

[Answered] A salesperson set a goal to earn $3,000 in July. He receives a base salary of $1,200 per month as well as a 10% commission for all sales in that month. How many dollars of merchandise will he have to sell to meet his goal?

[Answered] how do you write the cos 18° in terms of the sine.

[Answered] If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served, and you know that the cost for 100 students is $750 and the cost for 150 students is $1050, find the caterer's fixed cost and the cost per student served.

[Answered] A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a show, how much total profit was there from ticket sales?

[Answered] A pool is being drained at a constant rate. The amount of water is a function of the number of minutes the pool has been draining, as shown in the table. Time (min) | Volume (gal) -----------|------------- 12 | 4962 20 | 4754 50 | 3974 1. Write an equation in slope-intercept form that represents the function. 2. Find the water in the pool after two and a half hours.

[Answered] A central angle, \(\theta\), of a circle with a radius of 16 inches intercepts an arc of 19.36 inches. Find \(\theta\).

[Answered] A farmer is putting up a fence for her animals. She originally had the fence enclosing a square that was 18 ft by 18 ft. Suppose she uses the same amount of fencing to enclose a circular area. What is the area of the circle?

[Answered] What number is 75% of 44?

[Answered] What is infinity multiplied by \(\pi\)?