Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1066360: An electrical supplier sells rolls of sjo 14-3 cable to a company that makes extension cords. It takes 7/3 ft of cable to make each cord. How many extension cords can be made with a roll of cable containing 2240 ft of cable?
Click here to see answer by ikleyn(52775)  |
Question 1066428: If the graph of the parent function f(x)=x^2 is shifted 6 units to the right, three units up, and reflected in the x-axis, then the point (-2,19) will lie on the transformation. True or false. Explain why.
Click here to see answer by Theo(13342)  |
Question 1066494: A rocket was launched from a platform. The function h(t)=16t-5t^2+3 expresses the height in feet of the rocket over time in seconds. Find the average rate of change over the interval (0,2). State the domain and range.
I am having problems finding the Domain.
Average rate of change is: 15-3/2-0 = 6ft/sec
Range is: x=-16/2(-5) = 1.6
x=16(1.6)-5(103)^2+3
R={0,15.5}
Please help me find the Domain.
Thanks
Click here to see answer by rothauserc(4718)  |
Question 1066699: 3. The website is offering a promotion during what customers can buy up to 100 photos for a flat fee a cost per photo varies inversely with the number of photos a customer buys as shown in the table below what function models the data
Number of photos (n). 20. 40. 50. 80
Cost per photo in cents (c). 5. 2.5. 2. 1.25
1.nc=25
2. Nc= 50
3.nc=100
4.nc=400
Click here to see answer by Fombitz(32388)  |
Question 1066655: In order to buy a new computer, you need $650. Your job offers in one of two ways: Option A: You earn $5 on the first day, $10 on the second day, $15 on the third day, and so on. Each day you are paid $5 more than the day before. Option B: You earn 2 cents on the first day, 4 cents on the second day, 8 cents on the third day, and so on. Each day you are paid double what you were paid the day before. Which option should you choose to earn $650 as quickly as possible, and how many days will it take to get there? Show all work.
Click here to see answer by ikleyn(52775)  |
Question 1066764: Hello, I have a problem with this and I need a point in the right direction to solve this. They had me fill in various parts of the table, which I have already put in the answers. However, I need help creating a function for the last question. Any help will be much appreciated. Thank you in advance!
A company manufactures high-powered fountains that can be used to create elaborate water shows set to light and music.The company makes three models of
fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below.
Model A- Height(ft): 77,
Time to fall (s): 2.194
Initial velocity (ft/s): 70.2
Model B -Height(ft): 100,
Time to fall (s): 2.5
Initial velocity (ft/s): 80
Model C -Height(ft): 240
Time to fall (s): 3.965
Initial velocity (ft/s): 123.9
Create a function that will give you the minimum initial upward velocity, v ,required to launch water to any given height, h.
Click here to see answer by Alan3354(69443)  |
Question 1066854: An elevator has a maximum capacity of 2700 lb. Suppose the average weight of an adult is 180 lb. and the average weight of a child is 60 lb. Let a represent the number of adults and c the number of children riding in the elevator.
a. Write an inequality that express the number of adults and children who can ride in the elevator without overloading it.
b. Graph the inequality. (adults or A is x-axes, Children or C is y-axes)
c. Use the graph to find a combination of adults and children that satisfy the inequality
Click here to see answer by stanbon(75887) |
Question 1066843: Hernando county, Florida has an area of 589 square miles (there are 5,280 ft. in a mile). An inch of rain fell on the county. How many gallons of water fell on the county? A gallon of water weighs 81/3 pounds. A cubic foot of water weighs 62.4 pounds (its density). Write an equation for the number of gallons that fell in terms of the number of inches of rain. Let x be the number of inches of rain, let dw be the density of the water, let A be the area of the county, let wg be the weight of one gallon of water, and let N be the number of gallons of rain that fell on the county.
Click here to see answer by Boreal(15235)  |
Question 1066909: Vivienne made cupcakes to share with her friends and teachers at school. She gives half of her cupcakes to her friends. Then, she gives 2 cupcakes to her teacher. Finally, she gives 25% of the remaining cupcakes to her principal. She now has 12 cupcakes left. How many cupcakes did she bring to school?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1066909: Vivienne made cupcakes to share with her friends and teachers at school. She gives half of her cupcakes to her friends. Then, she gives 2 cupcakes to her teacher. Finally, she gives 25% of the remaining cupcakes to her principal. She now has 12 cupcakes left. How many cupcakes did she bring to school?
Click here to see answer by MathTherapy(10551)  |
Question 1066940: A rectangular field is 150 feet by 250 feet. You begin clearing the outside of the field, how wide of a border around the field must you mow to complete 1/2 the job?
Teacher says we can you use calculator to check answer for this can you please explain how and how to solve problem. Thanks.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1066941: A metal fabricator needs a piece of aluminum in the shape of a right triangle. The length of the hypotenuse if 28 inches. If the length of the longer leg is 5 inches more than the shorter leg what is the length of both legs?
Please help. Thanks.
Click here to see answer by Boreal(15235)  |
Question 1066943: Your kindly, old professor drives a Toyota Avalon to work to teach his beloved students. It is a hybrid car that uses an internal combustion engine in conjunction with electric motors and a high-voltage battery for propulsion. The battery/electric motor combination is also used to brake the car by absorbing the kinetic energy of the cars motion and storing that energy in the battery for later use(rather than dissipating it as heat).
The kinetic energy of the cars motion is given by Ek=Wv^2/2g where Ek is the kinetic energy of motion (in joules), W is the weight of the car and its contents (in Kilograms),v is the velocity of the car (in meters per second), and g=9.8 meters per second (the acceleration due to gravity).
The battery voltage is 200 volts. The car is moving at a velocity of 60 mph (26.28 meters per second) when the breaking system is engaged. The car stops in 20 seconds. The car and its contents weigh 1500 kilograms. How much charge is stored in the battery during the stop?
The equations involved are: I=Q/t where I is the battery current (in amperes), Q is the charge stored in the battery during the stop (in coulombs), P=Ek/t where P is the power delivered to the battery during the stop (in watts), and P=IV where V is the battery voltage (in Volts).
Click here to see answer by ikleyn(52775)  |
Question 1067338: Can somebody please help provide me with another example or a sketch that demonstrates how you can use a double-angle formula to come up with the formula for an isosceles △?
Problem /w uncomplete solution?
https://s23.postimg.org/rp0vqir6z/double_angle.png
Thanks.
Click here to see answer by Apples_21(13)  |
Question 1067501: The basic model of a particular car (2WD) with a power sunroof costs $28,375. When equipped with four-wheel drive (4WD) and a sunroof, the vehicle's price rose to $30,955. The cost of the basic model with 4WD was $30,255. Find the basic price, the cost of 4WD, and the cost of a sunroof.
Click here to see answer by ikleyn(52775)  |
Question 1067543: The admission prices for the Coca-Cola Museum in Atlanta are shown. A family purchased 2 more children's tickets than adult tickets, and 1 less senior ticket than adult tickets. The total cost of the tickets was $220. How many of each type of ticket did they purchase?
CHILD TICKETS $12
ADULT TICKETS $16
SENIOR TICKETS $14
adult tickets
senior tickets
child tickets
Click here to see answer by josgarithmetic(39616) |
Question 1067676: A cast iron disk (flat surface) has 5 holes drilled. Determine net and percent reduction in area.
4 holes have 1" diameter.
1 hole has 4" diameter.
Have illustration but unable to upload.
My attempt:
Area = Pi * r^2
A = 3.1416 * 7^2 = 153.9384 = 154 sq. in. (gross area)
-----------------
A = 3.1416 * 0.5 ^ 2 * 4 = 3.1416 sq. in. (small holes)
A = 3.1416 * 2^2 = 12.5664 = 13 sq. in. (large hole)
137.8584 = 138 sq. in. (net area)
154 - 138 = 16 / 154 = 0.1038961 = 10.38 per cent reduction.
Where am I incorrect? Thanks.
Non-homework.
Click here to see answer by Boreal(15235)  |
Question 1067676: A cast iron disk (flat surface) has 5 holes drilled. Determine net and percent reduction in area.
4 holes have 1" diameter.
1 hole has 4" diameter.
Have illustration but unable to upload.
My attempt:
Area = Pi * r^2
A = 3.1416 * 7^2 = 153.9384 = 154 sq. in. (gross area)
-----------------
A = 3.1416 * 0.5 ^ 2 * 4 = 3.1416 sq. in. (small holes)
A = 3.1416 * 2^2 = 12.5664 = 13 sq. in. (large hole)
137.8584 = 138 sq. in. (net area)
154 - 138 = 16 / 154 = 0.1038961 = 10.38 per cent reduction.
Where am I incorrect? Thanks.
Non-homework.
Click here to see answer by Alan3354(69443)  |
Question 1067498: The world population is projected to be 8.8 billion in 2045. At that time, there are expected to be approximately 33 billion more people in Asia than in Africa. The population for the rest of the world will be approximately 0.30 billion more than half the population of Asia. Find the projected populations of Asia, Africa, and the rest of the world in 2045.
Click here to see answer by ikleyn(52775)  |
Question 1067679: With summer approaching, the number of air conditioners sold is expected to be double that of stoves and refrigerators combined. Stoves sell for $325, refrigerators for $425, and air conditioners for $575, and sales of $91,500 are expected. If stoves and refrigerators sell in equal numbers, how many of each appliance should be stocked?
stoves_________
refrigerators__________
air conditioner___________
Click here to see answer by Boreal(15235)  |
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