To qualify for the championship, a runner must complete the race in at most 55 minutes. Use t to represent the time (in minutes) of a runner who qualifies for the championship.

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

A:

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

Q: mountain climber descends at a rate of 20 meters per second. how far will he bescend after 6 second

A:

Q: A runner is participating in a 11 1/2 mile race. If the runner stopped at the water station that is…

A:

Q: The height of an object dropped from the top of a 144-foot building is given by h(t ) =-16t2 +144.…

A: Given query is to find the time taken by object to hit the ground.

Q: A cyclist plans to cover the distance of 240 km. He calculated that if he is going to ride 8.4 km/h…

A:

Q: David reads 40 pages of a book in 80 minutes. How many pages should he be able to read in 120…

A: It is unitary method.

Q: Solve for the?

A: Given,

Q: Solve for x. x+75 60° 50°

A: Solution:Given a circleLet the Arc AB=x+75To find xFormula:In a central angle∠AOB=arc AB

Q: Use the formula for nPr to solve:Nine bands have volunteered to perform at a benefit concert, but…

A: Given: we have given 9 bands available. out of which five-band can  play

Q: Find three consecutive integers such that the sum of the first, twice thesecond, and three times the…

A:

Q: As part of a training program for the Boston Marathon, a runner wants to build endurance by running…

A:

Q: Solve for the value of x. 78°

A: Angles on straight line: The sum of angles that are formed on a straight line is equal to 180°

Q: If a fan does not catch the T-shirt, after how many seconds will the T-shirt hit the ground?

A:

Q: Determine if the class BMI is significantly higher than the cutoff for a healthy BMI which is 25.

A:

Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: The Expression for overtime hours is  =  x-5   The Expression for Total earning in overtime hours is…

Q: 35° 95°

A:

Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

A:

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. during…

A: In an 87-mile biathlon during run, average speed is 6 miles per hour, and during bicycle race,…

Q: Find three consecutive integers such that one half of their sum is between 15 and 21.

A: Let x, x + 1, x + 2 are three consecutive integers. Now, half of their sum is between 15 and 21

Q: Find three consecutive odd integers such that the product of the first and the second is 8 more than…

A:

Q: Find the smaller of two consecutive integers such that twice the smaller exceeds the larger by 10.

A: We can solve the problem by taking the smaller one as x and the larger one as x+1.

Q: Solve for x. 50° 65° 80°

A: We know that , the sum of interior angles in a triangle is 180 degree In triangle ABC, angle B is…

Q: The product of two consecutive odd integers is 483. Find the integers. (?,?) and (?,?)

A:

Q: A runner in a marathon passes the 7-mile mark at 1 o'clock and the 23-mile mark at 3 o'clock. What…

A: I will do second question :

Q: If a, b, and c are three consecutive odd numbers in increasing order, find the value of a² – 2b2 +…

A:

Q: Use deductive reasoning to create a procedure that will result to six times the original number.

A: 1. Consider the number x  2. multiply the number by 6 to get 6 times the number     Therefore, 6x 6x…

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

Q: A runner is participating in a 10.7mile race. If the runner stopped at a water station that is twice…

A: The total distance of the race is 10.7 miles. It is given that, the runner stopped twice as far from…

Q: 5) Find two consecutive odd numbers such that two less than three times the larger number is six…

A: Let x and y are two consecutive odd numbers. So, y=x+2 Two less than three times the larger number…

Q: A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been…

A:

Q: To approximate the profit from the production and sale of the 145th skirt, what value do you plug…

A: P(x) denotes the profit function and P'(x) denotes the marginal profit function.

Q: A magazine relies on journalists to submit their articles to be used in their latest bi-monthly…

A: Let the number of article needed to complete the bi-monthly edition be: x

Q: Solve for x. 50 53 62° 80°

A: To determine value of x from the given figure.

Q: 27 –

A: To solve for x

Q: A tomato plant that is 5 inches tall when first planted in a garden grows by 50% each week during…

A:

Q: An ant crawled from home to a flower at an average speed of 10 feet per minute, and then crawled…

A: Let the one way trip from home to the flower is x feet. Given that the speed while going from home…

Q: find three consecutive odd integers such that the sum of the first and the second is sixteen more…

A: Given:The three consecutive integers are odd numbers.The sum of the first two consecutive odd number…

Q: Two cars are driven at a constant speed on a test circuit. One makes a complete circuit in 84…

A:

Q: To qualify for Gold status at Awesome Airlines, one must fly less than 14000 but at least 4200 miles…

A: In this question we have to find the minimum and maximum number of flight must be taken by the casey…

Q: Recall that a mile is equal to 1.6093 kilometers. If a runner can maintain an average pace of400…

A:

Q: Solve by foding 9n IF

A:

Q: If Jill josh 2 miles in 15 minutes how long will it take her to the nearest minute to jog 5 miles at…

A: Given that Jill jog 2 miles in 15 minutes. To find Time taken by the Jill to jog 5 miles at tye same…

Q: Find two consecutive whole numbers that √39 lies between. and 10 x 5 ?

A: Given 39 We have to find two consecutive whole numbers that 39 lies between

Q: 25) Solve, graph, and write the following in interval notation x – 3 <1 x² – 9 -

A:

Q: A cyclist traveled 8 kilometers per hour faster than an in-line skater. In the time it took the…

A: Given :Given :Skater travels = 55 km Cyclist travels = 99 kmtime=distancespeed

Q: A company marks up the cost of all of items by 290%. If they want to have a sale, what is the…

A: Given, A company marks up the cost of all items by 290%. Let the cost price, CP be 100, then SP =…

Q: Find two consecutive whole numbers that √22 lies between. and X Ś ?

A:

Q: solve for d

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.