Let w be a continuous function on [0, 3] with the property that 0≤ w(r) ≤ 3, for all a in [0,3]. Show that there exists a real number 3 in (0,3] verifying w(3) = 3.

Q: A half-pint container of vanilla costs $17.95.  What is the cost of 2 tsp.?

A: The relationship between pint and tsp(teaspoon) is   1 pint = 96 tsp.  Now,  half-pint  means  96/2…

Q: An installer works for 6 hours and completes 48% of a job. How many hoursare needed for the complete…

A: We have, an installer works for 6 hours and completes 48% of a job. We need to calculate How many…

Q: You have P100 in you bank account.  It doubles every month.  How much money will you have after 5…

A: Initial amount= P100

Q: The scale on a map of Texas is 1 cm represents 25 miles. The actual distance from Houston to Dallas…

A: Use proportionality.

Q: If 1 cup is 5% of the amount needed, what is the amount needed?

A: Let the amount needed be =x5% of the amount needed is 1 cupi.e 5% of x= 1 cup

Q: A sculpture in Santa Fe in front of an art gallery is 12.5 feet tall.  A model is being made for…

A: sculpture height =12.5 feet 1 feet=12 inches

Q: Marcos sells snow cones in the summer, He uses a cone with a radius of 1,5 inches and a height of 5…

A:

Q: Noah rides his bike 10 km in 30 minutes. What is his average speed in kilometers per hour?

A: average speed = total distance/ total time  Here total distance = 10 km total time = 30 minutes=…

Q: You have 10 bunches of collard greens. Each bunch weights 12oz . After cleaning, you have 2# 7oz of…

A: Consider the given: Total bunches of collard greens = 10 bunches Weight of each bunch = 12 oz Total…

Q: Matt like to play chess.His current ratio of wins to losses is 5:2.If Matt has won 15 games,how many…

A:

Q: A car cost $17,000. The car's depreciates at a rate of 2.5%. How much is the car worth after 3…

A: NOTE: Refresh your page if you can't see any equations. . the initial value of the car is a=17000…

Q: scale model of a boat measures 4 inches long.The actualy boat measure 24 feet long.The trail that…

A:

Q: The Bathurst 1000 motor race has a lap record of 2 minutes and 12.339 seconds. The length of the lap…

A: Firstly, we convert 12.339 seconds into minutes , by dividing by 60, and then we convert minutes…

Q: An employee receives $20 in commission on sales amounting to $500. What is the employee's commission…

A:

Q: A car traveling on the Taconic parkway travels 84 miles in two hours. What is the cars speed (a…

A: Given: The distance travelled by the car in two hours is 84 miles.

Q: The number of IDeL DE students in Pusiga was 284 in 2013. It is estimated that the IDeL DE student…

A:

Q: It took amari2 bhours to paint 14ft of a 70 foot long fence.  What percent of the fence have they…

A: It took Amari 2 hours to paint 14ft of a 70 foot long fence. What percent of the fence have they…

Q: You purchase 7 rutabagas, each weighing 3 pounds. After cleaning you are left with 14 ½ pounds of…

A:

Q: The scale on a road map is 1 inch = 40 miles. What is the actual length of a road that measures 822…

A: Given scale is for representing very long length in terms of short scale.

Q: Kevin regularly runs 15 or more miles in one day. At the end of the week this distance will extend…

A: Let the distance that Kevin runs in one day be x.

Q: You were going on a 1,940 mile trip and your car gets about 28 miles per gallon gas prices along…

A: Total distance = 1940 miles Distance covered by car per gallon = 28 miles Number of gallons of gas…

Q: a 350 gallon spray tank can covers 14 acres find the rate of application in gallons per acre

A: Given 350 gallon spray tank can covers 14 acres

Q: A map of Levi’s trip is being made with a scale of 2 centimeters : 30 miles. How many centimeters…

A: By doing simple calculation we solve the given problem as follows :

Q: At Grocery Mart, tomatoes are $3.15 per pound, or you can buy a 6-pound box for $ What is the unit…

A: Tomatoes are $3.15 per pound or 6 pound for $14

Q: scale on a blue print drawing of a house shows that 10 centimeters represents 4 meters. What number…

A: Given query is to find the real measurement of 18 cm.

Q: a 12-lb shankless ham contains 16 servings what is the rate in servings per pound

A:

Q: In a soccer game there are 3 goals in 36 minutes . What is the rate of goals scored

A: Given that 3 goals scored in 36 minutes.

Q: Find the selling price of a DVD set which costs Rs. 2098 and the markup is 30% on cost. What is the…

A: