A weight is hanging from the end of a string. Hawa pulls back on the weight, and it swings freely back and forth. Each swing travels slightly less distance than the previous swing. If the first swing travels 150 inches and the return swing travels 144 inches, which equation represents the total distance the weight travels before it comes to rest?

Q: hose can fill a swimming pool in 4 hours. Another hose needs 9 more hours to fill the pool than the…

A: Given query is to find the time taken by the hose to fill the pool together.

Q: A van travels 24 km with a constant speed of 65 km/h and another 50 km with a constant speed of 80…

A: Given, A van travels 24 km with a constant speed of 65 km/h and another 50 km with a constant speed…

Q: a total of 25000is to be invested in stock and bonds. if the amount invested in bonds is four times…

A: Let's find amount invested in binds and stocks.

Q: William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17…

A:

Q: At a dairy plant, a milk tank can be filled in 8 hours (using the in-valve). Using the out-valve,…

A:

Q: A boat's crew rowed 16 kilometers downstream, with the current, in 2 hours. The return trip…

A: Let us assume  that, x be the average rowing velocity of the crew in still water and  y be average…

Q: Lorena walks the path around the park in 45 minutes. If she jogs, it takes her 35 minutes.  Here…

A:

Q: Autumn started biking to the library traveling 13 mph, after some time the bike got a flat so Autumn…

A:

Q: Three of the same cycles sell for $2,640. What is the dollar price of five of these same cycles?

A: Given that,Three of the same cycles sell for $2640 we have to calculate, what is thedollar price of…

Q: If a car travels at 60 miles per hour for 8 hours. how far will the car travel? (A) 400 miles (B)…

A: Given:-speed of the car=60 miles/hourtime taken to travel  by the car=8 hours

Q: Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 12…

A: given,        John invests twice as much in the lower yielding account ,   one bank paying 3% simple…

Q: An inlet pipe can fill a backyard pool in 10 hours, while the drain can empty it in 12 hours. If…

A: The fraction of the pool fill in 1 hour will be 110. The fraction of the pool drain in 1 hour will…

Q: Betty can mow a lawn in 40 minutes. Vanessa can mow the same lawn in 20 minutes. How long does it…

A: Solution :-

Q: Walking 4 mi in 2 h will use up 650 calories. Walking at the same rate, how many miles would a…

A: We can solve the given problem using the concept of simplifying the equations.

Q: Bob is 2 years from being twice as old as Ellen. The sum of twice Bob’s ageand three times Ellen’s…

A:

Q: The sum of the digits of a three-digit number is twelve. The sum of the squares of the hundreds'…

A: Here we have to find a three-digit number. We will find a three-digit no. using the conditions given…

Q: A tortoise is walking in the desert. It walks for 93.75 meters at a speed of 3 meters per minute.…

A:

Q: The sum of a number and its is always zero.

A: It is known that a+-a=0 for all real numbers.

Q: A sail boat leaves a port and travels 10 miles at which point it turns 20° and travels another 8…

A:

Q: The power principle of equality states that if both sides of an equation are raised to the same…

A:

Q: You invested $23,000 in two accounts paying 8% and 9% annual interest, respectively. If the total…

A: To solve the given question we first set up an equation with the help of a unknown variable ,then we…

Q: a boat travels up for 60 miles in 4 hors and returns in 3 hours traveling in ariver. What is the…

A:

Q: A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can…

A:

Q: From a train station, one train heads north and another heads east. Some time later, the northbound…

A: Draw the given situation, it forms a right triangle so use Pythagoras theorem to find distance.

Q: deposited

A:

Q: A private jet flies the same distance in 10 hours that a commercial jet flies in 5 hours. If the…

A: To find the speed of each jet Given time taken by commercial jet is 5 hrs whereas to cover the same…

Q: A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent…

A:

Q: Maxine and Sammie have lawns that are the same size. Maxine can mow her lawn in 24 minutes and…

A: Maxine can mow her lawn in 24 minutes, so the rate of work of Marine is 1/24 of the lawn per minute.…

Q: If there are an infinite number of solutions, state this.  If there are no solutions,state this.…

A:

Q: The sum of the digits of a three-digit number is twelve. The sum of the squares of the hundreds'…

A: Let the hundreds' digit be denoted by h, the tens' digit be denoted by t and the units digit be…

Q: Luis started biking to the study group traveling 9 mph, after some time the bike got a flat so Luis…

A: Topic-time and distance

Q: A man decided to paint his house himself after office hours. He can paint 25 sq.m. per hour on the…

A: A man can paint 25 sq.m per hour, there is 900 sq.m space to be painted. Therefore the time required…

Q: Jose started biking to the internet cafe traveling 15 mph, after some time the bike got a flat so…

A:

Q: the distance from the sun to mercury is approximately 36,270,000 miles. the distance from the sun to…

A: the distance from the sun to mercury is = 36,270,000 miles the distance from the sun to saturn is=…

Q: You invested $11,000 in two accounts paying 2% and 3% annual interest, respectively. If the total…

A: Use simple interest formula to calculate

Q: passenger train

A:

Q: One hall of a container is filled One half of a container is filled with water and one eighth of it…

A:

Q: la) The sum of the ages of Afful and Naomi is 34years. Five years to come, Afful will be 2 times the…

A:

Q: A bank loaned out $14000, part of it at the rate of 7% per year and the rest at 17% per year. If the…

A:

Q: Suppose a student got an 82 on an exam that was worth 25% of the final grade, a 75 on another exam…

A: Given data: Category Weight Score Exam 1 25% 82 Exam 2 25% 75 Homework…

Q: An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in…

A:

Q: How far will the driver get if he drives at an average speed of 40 miles per hour for 3 hours and 45…

A:

Q: If an equation is true for all values of its variable, it is called a(n):

A: If an equation is true for all values of its variable, it is called a(n):

Q: Printer A can print Helen's class project in 18 minutes. Printer B can print the project in 30…

A:

Q: A tortoise is walking in the desert. It walks for 7.5 meters at a speed of 3 meters per minute. For…

A: Given:A tortoise is walking in the desert. It walks for 7.5 meters at a speed of 3 meters per…

Q: 2 inches tall burns at a rate  inch per hour. A larger candle that is 15 inches tall burns at a rate…

A: Given that  Small candle size = 12 inches tall small candle Burning rate =   inch per hour. Large…

Q: The quantity demanded each month of the Sicard sports watch is related to the unit price by the…

A: Differentiating with respect to x, we get:

Q: In the year 2010, a person bought a new car for $29000. For each consecutive year after that, the…

A:

Q: A printing machine can run the necessary copies of the daily circulation of a newspaper in 8 hours.…

A:

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.