Shelia swam 1 mi and ran 6 mi in a total of 1 hr 15 min . In another training session she swam 2 mi and ran 8 mi in a total of 2 hr. Determine the speed at which she swims and the speed at which she runs. Assume that her swimming speed was the same each day and that her running speed was the same each day.

Q: Victor runs 3 laps around a track every 5 minutes. How many laps will he complete in 6 minutes?

A: The number of laps Victor runs in a minute can be calculated as:     So the victor is able to run…

Q: Susan invests 3 times as much money at 10 % as she does at 7 %. If her total interest after 1 year…

A:

Q: Solve for W. 10w – w = 54 Simplify your answer as much as possible.

A:

Q: Solve the following equation y" – 64y = 0, y(0) = 1, (0) = 8

A: To solve the given differential equation.

Q: Use the fact that 1 square mile= 640 acres to fine the area of a property that measures 2 hectares…

A: Given that the area of land for sale = 2 hectares Since, 1 acre=0.4 hectares ⇒1 hectares =2.5 acres…

Q: Ricardo trained for 5 hours yesterday. He ran 8 miles and then biked 36 miles. His biking speed is…

A: Ricardo trained for 5 hours yesterday.  He ran 8 miles and then biked 36 miles.  His biking speed is…

Q: 19. 50 40

A:

Q: Margaret drove to a business appointment at 90 mph. her average speed on the return trip was 80 mph.…

A:

Q: David was riding his bicycle at a speed of 31.2 kilometers per hour (km/h). Use the fact that 1…

A:

Q: 60° 16

A:

Q: Zach jogged to his friend's house 33 miles away and then got a ride back home.  It took him 4 hours…

A:

Q: Solve for x and y 28 16

A: If three or more parallel lines are cut by two transversals, then they arecut proportionally.

Q: A circular gift has a 4 3/4-inch radius. Ilyssa wants to wrap a ribbon that costs $0.50 per inch…

A: A circle is a plane figure. The circumference of a circle is equal to its arclength. In this…

Q: Cameron trained for 2 hours yesterday.  He ran 8 miles and then biked 16 miles.  His biking speed is…

A: Use the relation between time, distance and speed.

Q: Sally gets paid x dollars per hour for a 40-hour work week and y dollars foreach hour she works over…

A: Till 40 hour work sally gets $ x per hour. Sally gets for 1 hour = $ x Sally gets for 40 hour = $…

Q: Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives  30mi in clear…

A: Let her driving speed in nice weather be x mph Hence, her speed driving in the thunderstorm = (x -…

Q: The president of a company traveled 1800 mi by jet and 200 mi on a pro plane. The rate of the jet…

A:

Q: Samuel headed north at 6 mile per hour at noon. At 3 pm, Rachael headed south from the same place at…

A: We have to find

Q: Kelly drove 440 miles in 8 hours. Alberto drove 468 miles in 9 hours. Both drove at a constant…

A:

Q: Kiran drove from Tortula to Cactus, a distance of 247 mi. She increased her speed by 6 mi/h for the…

A: Topic :- Algebra

Q: Bu R(w)

A: Note: Here we are solving problem a) for problem b) please submit the que again. Given: Rw=4-3ww+2…

Q: Gabrielle rows a boat downstream for 99 miles. The return trip upstream took 24 hours longer. If the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 42

A: We have to solve given equation for y.

Q: Match the variable to its correct length. 10V3 y 60°

A: Given,

Q: Jim drove 306 miles. Jim's brother made the same trip at 17 miles per hour slower than Jim did and…

A:

Q: Solve for x and y. 55° 100° 60 to X = [Select ] y = [Select]

A: We have to find the answer

Q: Kevin hiked up lambs Canyon in 2 hr and then ran back  in 1 hr. His speed running dowhiill was 2.5…

A: Let the speed uphill be 'x'  ∴ The speed downhill = x+2.5 Kevin hiked up lambs Canyon in 2 hr and…

Q: A recipe calls for 2 ¼ cups of flour to make one batch of cookies. How many cups of flour will…

A: The number of cups of flour to make 1 batch of cookies=2 1/4 cups=(4*2+1)/4 cups=9/4 cups. So, the…

Q: company

A:

Q: Amir who lived in Texas moved to Virginia. Because of this move his annual salary increased from…

A: Amir who lived in Texas moved to Virginia. Because of this move his annual salary increased from…

Q: and

A: We have to find the value of x and y according to the given information

Q: Ella is 120 cm tall. Emma's height is 40 cm less than twice Ella's height. How tall is Emma?

A: It is given that, Ella is 120cm tall.  So, let the height of Ella is, is denoted by h1 and…

Q: Greg is paddling his canoe upstream, against the current to a fishing spot 10 miles away. If he…

A:

Q: The president of a company traveled 1800 mi by jet and 400 mi on a prop plane. The rate of the jet…

A:

Q: The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is…

A:

Q: Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, what is the distance he will…

A:

Q: Rick paddled up the river, spent the night camping, and then paddled back. He spent 10 hours…

A:

Q: Fend he maxèmem and minimem Values 2

A:

Q: 234 students enrolled in a freshman chemistry class. By the end of the semester, 5 times the number…

A:

Q: 58° 56°

A: We are given a triangle with angles 580, 560, and x0. We are asked to find the angle x and y.

Q: The president of a company traveled 1900 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Explanation of the solution is given below...

Q: marcy takes one medicine every 4 hours and take the other medicine every 6 hours and she takes both…

A: This question involves concept of LCM. LCM The Least Common Multiple (LCM) approach is used to…

Q: Kim swam one kilometer in 40 minutes. The length of the pool was 25 meters. About how long did it…

A: Given that Kim swam 1km in 40 minutes And the length of pool(L) = 25 m We know that 1km =1000 meters…

Q: 09, Bメー8

A: Given two parallel lines intersecting by a transversal line.

Q: Marta walked at 3.9 miles per hour for 0.72 hours how far did she walk

A:

Q: Ron traveled 6.8 miles of his delivery route in 1.2hrs. At this same rate, which of the following is…

A:

Q: Solve for mZXVW if mZUVW 96° and mZUVX = 66°. U W Answer: MZXVW Submit Answer

A: Answer

Q: Jane took 10 min to drive her boat upstream to​ water-ski at her favorite spot. Coming back later in…

A: Let us assume that, x km/h=speed of the boat in still water. Given that the speed of the current is…

Q: b. 50 40

A: A right-angled triangle  We know that BC = 50 and DC = 40  so, BD = BC - DC BD = 50 - 40 BD = 10

Q: Tina drove 3 miles north and 4 miles west to get to her grandmother’s house. Find the distance and…

A: Tina drove 3 miles north and 4 miles west. To evaluate: The distance and displacement.

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.