A power company charges $0.12 per kilowatt hour (kWh) and $14.89 in monthly taxes. The monthly charge C (in $) is given by C = 0.12h+14.89 where h is the number of kilowatt- hours used. If a family's bills comes to $137.77.determine the number of kilowatt hours used?

Q: A 20 oz alloy of platinum that costs S220 per ounce is mixed with an alloythat costs S400 per ounce.…

A: Given: A 20-ounce alloy of platinum that costs $220 per ounce is mixed with an alloy that costs $400…

Q: Ahmad earned 4 times more money babysitting last month than his sister Rachel. If Rachel earned $28…

A:

Q: Irina ran 1/2 mile in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

A:

Q: A 30lb person who runs at 6mph for 1 hour burns 720 calories. The same person, walking at 4mph for…

A: Number of calories a 130lb person burns while running at 6mph for 75 minutes is.

Q: After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a…

A: Given- After riding at a steady speed for 40 miles and walked 5 miles to a repair shop. The cycling…

Q: A toy maker finds that its cost C = 450 + 3.75x dollars to manufacture x toy trucks. If the budget…

A: Our Aim is to find the number of toy trucks can be made if the budget is $3600.Since, the cost…

Q: The length of a rectangular box is 8 inches longer than twice the width (x). The height is 9 inches.…

A:

Q: If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the…

A: Graph is below  Both are same graph

Q: One-half of a number y is more than 22

A:

Q: The selling for a classic speedboat is $10,000, which is $500 less than two times it’s original…

A: Let the original price of speedboat is x $

Q: Find the value of a. -3t L = a VE Vs +3

A:

Q: A professor wants to supplement her pension with investment interest. If she invests $31,000 at 6%…

A: money invest = $ 31000 interest = 6% interest per year = 31000 * 0.06                             =…

Q: The formula for approximating the stopping​ distance, d, in​ feet, for a specific car on snow is…

A:

Q: Ted walks around the track at school at an average rate of 4 miles per hour. He then runs once…

A: The average of 2 numbers is the value that is in the middle of the given 2 numbers. If the numbers…

Q: A man having ten hours at his disposal made an excursion, riding out at therate of 10 miles an hour…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: A bus traveled on a level road for 5 hours at an average speed 20 miles per hour faster than it…

A: The relation between speed time and distance is given by; Speed=Distance time

Q: Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to…

A:

Q: The height of an object tossed upward with an initial velocity of 120 feet per second is given by…

A: Given Data: The initial velocity of the object is: dhdtt=0=120 ft/s The formula for the height of…

Q: Producers will make 4000 refrigerators available when the unit price is $290. At a unit price of…

A: Given:Producers will make 4000 refrigerators available when the unit price is $290. At a unit price…

Q: For Exercise, solve for the indicated variable.5x + y = −18 for y

A: Consider the given equation.

Q: Jan's electric bill is averaging $10 per day mostly due to the air conditioner. By setting the AC to…

A:

Q: An object dropped from a height of 270 feet will fall according to the equation h(t) = 270 – 16t° ,…

A:

Q: John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was…

A: Total distance travelled is,

Q: During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The…

A:

Q: The length of a rectangle is 5 feet more than the width. If x represents the width, in feet, the…

A:

Q: Kellen paddled for 4 hours with a 3-km/h current to reach a campsite.  The return trip against the…

A: Given, Current is 3 km/hr and Let x km/hr be a boat speed in still water (x + 3) = speed going with…

Q: A freight train starts from Los Angeles and heads for Chicago at 40 mph. Two hours later a passenger…

A:

Q: The length of a rectangular box is 7 inches longer than twice the width (x). The height is 13…

A: Let l be the length of the rectangle , h be the height and x be the breadth of the rectangular box.…

Q: Patrick gets paid three dollars less than four times what Kevin getspaid. If the number of dollars…

A: Number of dollars kevin gets paid = x Patrick gets paid three dollars less than four times what…

Q: The height of an object tossed upward with an initial velocity of 80 feet per second is given by the…

A: Given, The height of an object tossed upward with an initial velocity of 80 feet per second is given…

Q: A tree farm charges $75.00 for a 5 - foot orange tree and $50.00 for delivery regardless of the…

A: A tree farm charges $75.00 for a 5 foot orange tree and $50.00 for delivery and delivery charge is…

Q: An object dropped from a height of 110 feet will fall according to the equation h(t)= 110−16t2,…

A: Topic = Algebra

Q: During one month, the cost for renting a car in Mobile, Alabama was $68.22 per day plus 25 cents per…

A: The general form of the regression equation is, y = a+bx Where 'y' is the response variable, 'a' is…

Q: The height of a ball that is launched from the ground is given by taking -16 times the time in…

A: The height of a ball that is launched from the ground is given by taking -16 times the time in…

Q: A cake is removed from an oven at 193 degrees fahrenheit and left to cool at room temperature, which…

A: Formula: Newton's law of cooling T(t)=TS+(To-TS)ebt T(t)- Temperature at time t. TS - surrounding…

Q: The income I of a computer analyst varies directly as the number of hours H worked. If the analyst…

A: income I  ∝  number of hours H  or income I  ∝  time t => I = k*t                where k is…

Q: A girl jogs 5 miles in 24 minutes less than she can jog 7 miles. Assuming she jogs at a constant…

A: Let us consider that the girl jog 7 miles in t minutes. Therefore, Speed=distancetimev=7t…

Q: A company manufactures wristwatches and the profit, P. (in hundred thousand pesos) can be modeled by…

A: The given profit function is a polynomial.

Q: In DC, the price of renting an Uber scooter is determined by how many m an equation that can be used…

A: Here, the price for riding 10 minutes is given as 3 $. So by unitary method, we will first find…

Q: The amount of money raised at a charity fundraiser is directly proportional to the number of…

A: Two variables x and y are said to be directly proportional if x increases then the value of y also…

Q: An airplane takes off at sea level where the air temperature is 15° C. As it climbs to 30,000 feet,…

A:

Q: A trucker drove 175 miles to make a delivery and returned home on the same route. Because of foggy…

A:

Q: At the end of the day, Dodie can clean her hair salon in 15 minutes. Ann, who works with her, can…

A: Dodie can clean her hair salon in 15 minutes. Ann and Dodie can clean her hair salon in 30 minutes.

Q: Hagrid is 3 mi offshore in a boat transporting some first years to Hogwarts, whichis located 6 mi…

A: Let x is the distance from the point on the shortest nearest Hagrid’s boat to the landed point.…

Q: The yearly profit from the production and sale of Plumber's Helpers is P(x) = -40,255 + 9.80x…

A:

Q: A pump boat travelled 80 kilometers in two hours with the wind, and 3 hours against the wind. What…

A:

Q: A manufacturer can produce 5400 cell phones when x dollars is spent on labor and y dollars is spent…

A: a) the given equation, 100x34y14=5400⇒x34 y14=54⇒y14=54x-34now differentiate both side with respect…

Q: A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy…

A:

Q: By increasing her usual speed by 20 kilometers per hour, a bus driver decreases the time on a…

A: This question is related to speed, time and distance, we will solve it using given information.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.