Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 1170726: A player throws a ball straight up toward the roof of a gym. The height hin feet of the ball after tseconds can be modeled by the function h(t)=-16t^2+55t+4
a. The height of the gym roof is 53 feet. Will the ball hit the ceiling?
b. How long will it take for the ball to reach a height of 29 feet?
c. How high will the ball be 3 seconds after it’s thrown?
d. How high will be ball be 6.5 seconds after it’s thrown?
e. What is the maximum height the ball will reach?
f. How long will it take to reach that height?
Click here to see answer by ikleyn(52781)   |
Question 1170725: A basketball is shot with an initial vertical velocity of 24 ft/s from 6 feet above the ground. The ball’s height hin feet is modeled by h(t)=-16t^2+24t+6 , where t is the time in seconds after the ball is shot.
a.How high is the ball 1.5 seconds after it is shot?
b.How high is the ball .2 seconds after it is shot?
c.When will be ball be 13 feet off the ground?
d.When will theball hit the ground?
e.What is the maximum height the ball will reach?
f.How long will it take to reach that height?
Click here to see answer by ikleyn(52781) |
Question 1170724: Sean and Mason run out of gas while fishing in the bay. They set off an emergency flare with an initial vertical velocity of 30 meters per second. The height of the flare in meters can be modeled by h(t)=-5t^2+30t, where t represents the number of seconds after launch. They think the flare has to reach a height of 15 meters to be seen from the shore.
a.How long will the flare be 15 m high or higher?
b.When will the flare hit the water?
c.How high will the flare be after 2 seconds?
d.How high will the flare be after 5 seconds?
e.What is the maximum height the flare will reach? f.How long will it take for that max to occur?
Click here to see answer by MathLover1(20849)  |
Question 1170724: Sean and Mason run out of gas while fishing in the bay. They set off an emergency flare with an initial vertical velocity of 30 meters per second. The height of the flare in meters can be modeled by h(t)=-5t^2+30t, where t represents the number of seconds after launch. They think the flare has to reach a height of 15 meters to be seen from the shore.
a.How long will the flare be 15 m high or higher?
b.When will the flare hit the water?
c.How high will the flare be after 2 seconds?
d.How high will the flare be after 5 seconds?
e.What is the maximum height the flare will reach? f.How long will it take for that max to occur?
Click here to see answer by ikleyn(52781) |
Question 1170750: A movie theater has a seating capacity of 299. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2164, How many children, students, and adults attended?
Click here to see answer by ikleyn(52781) |
Question 1170722: The highway mileage min miles per gallon for a compact car is approximated by m(s) = -0.025s^2+2.45s-30 where s is the speed in miles perhour.
a.If the car is traveling 65mph, what will the highway mileage be?
b.If the car is traveling 20mph, what will the highway mileage be?
c.What speed will the car be traveling if the mileage is 28 miles per gallon?
d.What speed will the car be traveling if the mileage is 0 miles per gallon?
e.What is the maximum mileage for this compact car to the nearest tenth of a mile per gallon? What speed results in this mileage?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1170748: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 35% and the third contains 65%. He wants to use all three solutions to obtain a mixture of 64 liters containing
45% acid, using 2 times as much of the 65% solution as the 35% solution. How many liters of each solution should be used?
Click here to see answer by Boreal(15235)  |
Question 1170748: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 35% and the third contains 65%. He wants to use all three solutions to obtain a mixture of 64 liters containing
45% acid, using 2 times as much of the 65% solution as the 35% solution. How many liters of each solution should be used?
Click here to see answer by MathTherapy(10552)  |
Question 1170746: Maricopa's Success scholarship fund receives a gift of $ 175000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 4.9 % interest, and stocks pay 10.2 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 12707.5, how much was invested in each account?
Click here to see answer by ikleyn(52781) |
Question 1170745: Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 12 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 4840 dollars. How much did she invest at each rate?
Click here to see answer by ikleyn(52781) |
Question 1170745: Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 12 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 4840 dollars. How much did she invest at each rate?
Click here to see answer by greenestamps(13200)  |
Question 1171146: You need a 45% alcohol solution. On hand, you have a 450 mL of a 75% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
A) Write an equation using the information as it is given above that can be used to solve this problem. Use
x
as your variable to represent the amount of pure water you need to use.
Click here to see answer by josgarithmetic(39617) |
Question 1170969: All classes of livestock require the basic nutrients; protein, carbohydrates, lipids, minerals, vitamins, and water. Crude protein is essential to raising healthy livestock and is measured as either a % of the total ration or on an amount per day basis. In this problem, we will use protein hired by Clayton Farms to be in charge of animal nutrition.
The feed orders that you are responsible for have specific dietary requirements that need to be met by combining different ingredients. Because of differences in ingredient prices, you need to determine the least expensive formulation that will meet the nutritional requirements of the feed orders. Clayton Farms has just received an order for 20 tons of feed with 18% crude protein. In this problem, there are two constraints, weight and crude protein.
The available ingredients and their respective prices are given in the table below:
Ingredient
% Crude Protein by Weight
Cost in Dollars per Ton
Barley
11%
$131.81
Corn
9%
$133.63
Cotton Seed Meal
41%
$273.99
Soybean Meal
48%
$301.00
Use the information in the table to find the combination of two ingredients that satisfies the crude protein requirement for the least amount of investment. You will need to convince the owner of Clayton Farms that you have indeed found the least expensive option.
Click here to see answer by Theo(13342)  |
Question 1171200: how many pounds of sugar that costs 1.79 per pound and how many pounds of corn flakes that costs 2.49 per pound must be used tyo create 25 pounds of sugar coated breakfast cereal that sells for 2.21 per pound
Click here to see answer by Boreal(15235) |
Question 1171279: Fred found a large metal bar that weighed 15 grams while he was mining. Fred was also able to determine that the bar contained 40% copper. How many grams of copper are in the metal bar? Round your answer to the nearest whole number if necessary
Click here to see answer by josgarithmetic(39617) |
Question 1171279: Fred found a large metal bar that weighed 15 grams while he was mining. Fred was also able to determine that the bar contained 40% copper. How many grams of copper are in the metal bar? Round your answer to the nearest whole number if necessary
Click here to see answer by ikleyn(52781) |
Question 1171294: A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 2 pounds of jelly beans , the total cost is $15. For 5 pounds of trail mix and 6 pounds of jelly beans, the cost is $35. Find the cost for each pound of jelly beans .
Click here to see answer by josgarithmetic(39617) |
Question 1171420: Mark and Eduardo are selling pies for a school fundraiser. Customers can buy cherry pie and lemon meringue pies. Mark sold 8 cherry pies and 6 lemon meringue pies for a total of 192. Eduardo sold 8 cherry pies and 7 lemon meringue pies for a total of 212. Find the cost of each one cherry pie and one lemon meringue
Click here to see answer by VFBundy(438)  |
Question 1171551: Jacob and Kayla are selling cheesecake for a school fundraiser. Customers can buy pecan cheesecake. Jacob sold 2 pecan cheesecake and 4 apple cheesecake for a total of 96$. Kayla Sold 8 pecan cheesecake and 4 apple cheesecake for a total of 156$ . What is the cost each of one pecan cheesecake and one apple cheesecake?
Click here to see answer by greenestamps(13200) |
Question 1171557: The school Beth goes to is selling tickets to a fall musical. On the first day of ticket sale the school sold 7 adult tickets and 7 student tickets for a total of 63$. The school took in 38$ on the second day by selling 7 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a student ticket.
Click here to see answer by ikleyn(52781) |
Question 1171578: Paul left the airport traveling toward the ocean two hours before Arjun. Arjun traveled in the opposite direction going 10 km/h faster than Paul for two hours after which time they were 230 km apart. What was Paul’s speed?
Click here to see answer by ikleyn(52781) |
Question 1171576: Jill left the movie theater and traveled toward the town hall. One hour later Nicole left traveling 10mph faster in an effort to catch up to her. After five hours nicole finally caught up. What was Jill’s average speed.
Click here to see answer by Alan3354(69443)  |
Question 1171606: The Gardening Club baked some pizzas to sell during lunch to raise money to buy gardening equipment. The library helped by donating five pizzas to the club. Each pizza was then cut into eight slices and sold. There were a total of 120 slices of pizza to sell. First, list any helpful keywords and prepositions that you might use to create an algebraic equation. Secondly, answer the following question: What operations will you be using? Thirdly, type a potential algebraic equation that will help you solve the problem. Lastly, answer the following question (don't forget the units): How many pizzas did the club bake?
Click here to see answer by ikleyn(52781) |
Question 1171726: Differential Equation (involving chemical reaction)
A rocket engine burns a stoichiometric mixture of fuel (liquid hydrogen) in oxidant (liquid oxygen). The combustion chamber is cylindrical, 75 cm long and 60 cm in diameter, and the combustion process produces 108 kg/s of exhaust gases. If combustion is complete, find the rate of reaction of hydrogen and of oxygen.
Click here to see answer by ikleyn(52781) |
Question 1171825: Flying to Abuja with a tailwind a plane averaged 306 km/h. On the return trip the plane only averaged 238 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
Click here to see answer by ikleyn(52781) |
Question 1171821: A plane traveled 1600 miles to munich and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind . The trip back took 16 hours. What is the speed of the plane still in air? what is the speed of the wind?
Click here to see answer by josgarithmetic(39617) |
Question 1171824: Elisa left home and drove toward the mountains at an average speed of 74 km/h. Sometime later Stephanie left driving in the opposite direction with an average speed of 35 km/h. After Elisa had driven for four hours they were 401 km/h apart . How long did Stephanie drive?
Click here to see answer by ikleyn(52781) |
Question 1171933: PLEASE HELPPPPPP
Brand X sells 32 oz. bags of mixed nuts
that contain 52% peanuts. To make their
product they add peanuts to Brand A's
mixed nuts which contain 20% peanuts.
How much of each do they combine?
Click here to see answer by Boreal(15235) |
Question 1171994: jacob needs a 16% alcohol solution. he has 120 ounces of a 12% solution, and he wants to use all of it. he also has a 28% solution available. how many ounces of the 28% solution does he need to add to the 12% solution to make the 16% solution?
Click here to see answer by ikleyn(52781) |
Question 1172074: Fran went to the produce store and bought 3 kiwis and 5 pomegranates for $2.40. Wilma went to the same store and for the same prices bought 4 kiwis and 7 pomegranates for $3.31. How much did each pomegranate cost?
Click here to see answer by ikleyn(52781) |
Question 1172096: Rachel will rent a car for the weekend. She can choose one of the two plans. The first plan has an initial fee of $48 and costs an additional $0.16 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.14 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
Click here to see answer by Theo(13342) |
Question 1172204: Eric wishes to mix together some common stone worth $0.10 per kilogram and some granite chips worth $0.15 per kilogram to produce a decorative garden mixture. How much of each stone should be mixed to obtain 300 kg of a mixture worth $0.13 per kilogram?
Click here to see answer by ikleyn(52781) |
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