The cost of water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF), as shown in the figure below. The cost for using 19 HCF of water is 33.75 , and the cost for using 36 HCF is 61.80 . What is the cost for using 34 HCF of water?
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 39 minutes of calls is 12.02 and the monthly cost for 81 minutes is 17.06 . What is the monthly cost for 75 minutes of calls?
Austin is driving to San Francisco. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes), as shown in the figure below. Austin has 66 miles to his destination after 34 minutes of driving, and he has 45.1 miles to his destination after 56 minutes of driving. How many
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes), as shown in the figure below. The remaining credit after 44 minutes of calls is $24.27 , and the remaining credit after 57 minutes of calls is $23.16 . What is the remaining credit after 63 minutes of
A rectangle has an area of 3648 in ^2 and a perimeter of 268 in. The length (long side) is _______in. The width (shorter side) is _____in.
Keiko is a software saleswoman. Her monthly salary is 1600 plus an additional 100 for every copy of English is Fun she sells. Let S represent her total salary this month (in dollars), and let N represent the number of copies of English is Fun she sells. Write an equation relating S to N, and then graph your equation using t
A child in an airport is able to cover 351 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 348 meters in 4 minutes. What is the child's running speed on a stil
A child in an airport is able to cover 360 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 204 meters in 3 minutes. What is the child's running speed on a sti
Advance tickets to a show cost 20 , and same-day tickets cost 30 . The total number of tickets sold was 40 for total receipts of 950 . How many tickets of each type were sold?
Write the equation of the line with slope -9 and y-intercept (0,4).
A high school class wants to raise money by recycling newspapers. The class decided to rent a truck at a cost of $150 for the week. The market price for recycled newspapers is $15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
A man walks at a pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time AFTER the rest when he continues on his walk. Let d be the TOTAL distance traveled since he started. Write an equation linking d and t.
The decay rate of krypton - 85 is 6.3% per day. What is the half-life? P(t) = Poe^kt
Are these real or imaginary solutions? Please see the attachment. Solve 5x^2 + 4x - 3 = 0 Here a = 5, b = 4, c = -3 Apply quadratic formula here
Solve 5x^2 + 4x - 3 = 0
Kim starts to walk 3 miles to school at 7:30 a.m. with a temperature of 0 degrees F. Her brother Bryan starts t 7:45 a.m. on his bicycle traveling 10 mph faster than Kim. If they get to school at the same time, than how fast is each one traveling?
Solve 5a2 - 125 = 0.
Solve _____ / 7x + 7 = 2x - 5
Please see the attached file for the fully formatted problems. MTH133 Unit 4 - Individual Project Name: 1) State the domain of the following: a) g(x) = 5x/(x^2 + 25) Answer: b) f(x) = sqrt(x + 6) Answer: c) k(t) = 5t^2 - 6t + 2 Answer: d) k(x) = (3x - 3)/(x + 2) Answer: e) Answer: 2) Sup
Please see attachment. Factor 16x^2 - 100y^2.
A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 113 hours f
Tom Quig traveled 290 mi east of St. Louis. For most of the trip he averaged 70 mph, but for one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was 7 hr, how many miles did he drive at the reduced speed?
The sum of twice a number and 15 less than the number is the same as the difference between -31 and the number. What is the number?
When solving rational equations, I must check my solutions to make sure I am not including extraneous solutions that are not actual solutions to the original equations. If any of the solutions are "excluded values" in the original equation, then they must be thrown out. Using the rational equation, x + 2
Part 1: The equation A=(LP)/2-L^2 gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and
Solve and check the following equation x-1/2 + 1/2 = - x/4 the solution set is __ type integer or simplified fraction.
Solve for m z=3f/m The solution is m =
Find the numerical value of the rational expression when (a) x = 2 and (b) x = -3. (4x - 2) / 3x (a) When x = 2, the numerical value is __ (b) When x = -3, the numerical value is ___ Simplify each answer. Type an integer or a fraction. Type N if the value in undefined.
Rewrite the rational expression on the left with the given new denominator. 28a/a*2 - 2a - 35 = ?/(a-7) (a + 5) (a+9) What is the new numerator?
Solve the equation and check your answer. m/m-8 - 9 = 8/m-8 The solution set is: