At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower was 2o inches tall. The sunflower then begar to grow at a rate of 1 inch per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after w weeks?

Q: Karim wants to invest $100000 in two investments at 8% and 10%. How much should he invest in each if…

A: The formula is I = Prt, Where I = interest earned, P = principal, r = rate of interest, t = time.

Q: Lamont walks the 15 meters from the front door of his house to his car at a constant rate of speed.…

A:

Q: A total of $12000 was invested, part of it at 9% and the rest at 7.5%. Thetotal interest after one…

A: Let $x was invested at 9% and $(12000-x) was invested in 7.5% So interest earned from 9% is = 9% of…

Q: The rate of a small aircraft in calm air is 125 mph. If the wind is currently blowing south at a…

A:

Q: d) An 800-liter tank is half full of water is being filled with water pumped at the rate of 45…

A: We have, an 800-liter tank is half full of water and is being filled with water pumped at the rate…

Q: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as…

A:

Q: Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?

A: speed is calculated by the formula,

Q: Cardo is 8 yrs. More than twice Lito’s age. 4 yrs. ago Cardo was three times as old as Lito. How old…

A: Let present age of Lito be x years and present age of Cardo be y years. It is given that Cardo is 8…

Q: At the beginning of spring, Caroline planted a small sunflower in her backyard. When it was first…

A:

Q: A total of $6000 is invested, part of it at 4.25% and the rest at 5.75%. Thetotal interest after one…

A: Let $x was invested in 4.25% and (6000-x) in 5.75%  So the total interest earned is: 4.25% of x +…

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work…

A: It is given that Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund.

Q: A goliath grouper at the local aquarium ate 112 fish over the course of 8 hours. At this rate how…

A: our objective is to find  how many fish can he eat in 3.5 hours .

Q: Mrs. Jackson traveled to a city 390 miles from his home to attend a meeting. Due to car trouble his…

A:

Q: millicent earned $435 last year in interest. if $3,000 was invensted at aa certain rate of return…

A:

Q: A park has two sprinklers that are used to fill a fountain. One sprinkler can fill the fountain in 3…

A: Answer is- 2 hrs Explanation is given below...

Q: you run the first 2 miles of a 5 mile at a rate of 300 yards per minute. Then you run the last 3…

A:

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline…

A: Given Data: The quantity of gasoline in the tank is: q=600 gallons The rate of reduction of gasoline…

Q: chad had $5000 to invest. if he invests $3000 at 5% interest, at what rate must he invest the…

A:

Q: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

Q: At 12:00 noon, there were 200 bacteria present. By 4:00pm, there were 379 bacteria. If the bacteria…

A:

Q: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

Q: A ski resort can manufacture enough machine-made snow in 4 h to open its steepest run, whereas it…

A: The time taken for the ski resort to manufacture machine made snow is 4 hours.The time taken for the…

Q: The half-life of the drug Morphine in the blood is 120 minutes. If 75 mL are given to a patient at…

A:

Q: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8%…

A:

Q: A ship has wrecked and its crew of 300 men has been left stranded on a dessert island. The food will…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: A runs 7/4 times as fast as B. if A gives B a start of 84 miles , how far must the winning post be…

A:

Q: The 50% of the 3rd Quarter grades in Mathematics of the Grade 10 Students is less than or equal to…

A: For a set of observations, median is defined as the middle most value. In other words, median is a…

Q: The size of the beaver population at a national park increases at the rate of 5.1% per year. If the…

A: Given query is to find population of beaver after 4 years.

Q: The temperature of an ingot of silver is60°C above room temperature right now. Twenty minutes ago,…

A: Given: The temperature of an ingot of silver is 60°C above room temperature. Also, the temperature…

Q: A man invests his savings in two accounts, one paying 4% and the other paying 5% simple interest per…

A: Choose a variable and form the equation then solve for that variable.

Q: Liana was 10 miles from home at 2 pm and 70 miles from home at 3:30 pm. What was her average rate of…

A:

Q: On average, it takes a chicken 30 days to produce 24 eggs.  At this rate, how many days does it take…

A:

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: A college student takes the same number of credits each semester. She had 9 credits when she…

A: Given,          A college student takes the same number of credits each semester. She had 9 credits…

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work…

A: If a is directly proportional to b, then it can be written that ab=k.

Q: A small pipe can fill a tank in 6 min more time than it takes a larger pipe to fill the same tank.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Jane has twice as much money invested at 5% annual intrest as she does at 4%. If her yearly income…

A:

Q: Philip poured himself a boiling hot bowl of soup at 212°F, and left it to stand in a room where the…

A:

Q: Patrice has worked a certain amount of hours so far this week. Tomorrowshe will work four more hours…

A: Let us assume that Patrice has worked for N hours so far.

Q: The magnitude of earthquake A is 3.8. If earthquake B is 10,000 times as intense as earthquake A,…

A: The solution is given below :

Q: If a ball is thrown upward at 96 feet per second from a height of 4 feet, the height of the ball can…

A:

Q: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as…

A: From given information ,

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15…

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75…

Q: Mr. Domingo drives to Laguna for the weekend at an average speed of 105km/hr and the trip takes…

A: Given that Mr. Domingo drives to Laguna for the weekend at an average speed of 105 km/hr and the…

Q: Blake is doing laps around a track. Blake can run 3 miles per hour faster than he can walk around…

A:

Q: Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda…

A:

Q: Juliana invested $5,100 at 6.50% p.a. simple interest. How many days will it take for her investment…

A: The formula to calculate the simple interest is defined as follows:

Q: Bob invests $14000, part at 6% per annum and the rest at 9% per annum. After one year, he had earned…

A: It is given that Bob invests $14000, part at 6% per annum and the rest at 9% per annum. After one…

Q: Kyle is entering high school and is determined to save money for college. Kyle feels he can save…

A: Answer:-

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A: Note:  According to our guidelines we are supposed to do only first question. Kindly repost other…

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.