Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1169232: Hi
Bob had 80% more money than jim. Sandra had 40% less than jim. Bob and jim gave sandra some money in the ratio of 3:2 respectively. In the end sandra had twice as much money as before. Given that Bob had $144 more than sandra in the end,how much did each have at first.
Thanks
Click here to see answer by Boreal(15235)  |
Question 1169229: Hi
Benjamin helped mr carter to sell some fruit. He sold 2 more apples than oranges. Each orange cost 3 dollars and each apple 2 dollars. For every 10 fruit he sold mr carter gave him 1 dollar from the sale. After giving Benjamin his money mr carter collected 62 dollars from the sale.
How many fruit of each type did Benjamin sell
Thanks
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1169347: A city park has a circular goldfish pond with a diameter of 40 metres. Park officials want to surround the pool with a 100 centimetre-wide cement walk. Find the volume of cement needed for this project, to the nearest tenth of a cubic metre, if the layer of concrete is to be 20 centimetres deep
Click here to see answer by josgarithmetic(39613) |
Question 1169347: A city park has a circular goldfish pond with a diameter of 40 metres. Park officials want to surround the pool with a 100 centimetre-wide cement walk. Find the volume of cement needed for this project, to the nearest tenth of a cubic metre, if the layer of concrete is to be 20 centimetres deep
Click here to see answer by ikleyn(52752)  |
Question 1169375: A motorboat travels 225 kilometers in 5 hours going upstream. It travels 395 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Click here to see answer by Boreal(15235)  |
Question 1169414: At a 1/4 mile drag strip, a car completes in 11.11 sec. at 128.35 mph.
Check my calculations, please.
1/4 mile = .25
11.11 sec. = .003086 hrs.
rate * time = distance
distance / time = rate
.25 / .003086 = 81.0110 = 81 mph.
Where am I correct?
Click here to see answer by ikleyn(52752)  |
Question 1169437: Hi
Fred and Justin were each given a sum of money. If Fred and Justin spent 8 and 16 dollars respectively Justin would still have 70 dollars left
If Fred and Justin spent 16 and 8 dollars respectively Justin would have 430 dollars left.
How much money did each get from their parents. This is verbatim from a textbook.
Thanks
Click here to see answer by ikleyn(52752)  |
Question 1169470: FDA regulations require mayonnaise to be 6% vegetable oil by weight. Can 1,200 kg of a product containing 750 kg of fat be called mayonnaise if additional FDA requirements such as the addition of egg yolks, are all met?
Click here to see answer by ikleyn(52752)  |
Question 1169313: For most products, higher prices result in a decreased demand, whereas lower prices result in an increased demand (economists refer to such products as normal goods). Let
d = annual demand for a product in units
p = price per unit
Assume that a firm accepts the following price - demand relationship as being a realistic representation of its market:
d = 800 10p
where p must be between $20 and $70.
a. How many units can the firm sell at the $20 per-unit price? At the $70 per-unit price?
b. What happens to annual units demanded for the product if the firm increases the per unit price from $26 to $27? From $42 to $43? From $68 to $69? What is the suggested relationship between per-unit price and annual demand for the product in units?
c. Show the mathematical model for the total revenue (TR), which is the annual demand multiplied by the unit price.
d. Based on other considerations, the firm’s management will only consider price alternatives of $30, $40, and $50. Use your model from part (b) to determine the price alternative that will maximize the total revenue.
e. What are the expected annual demand and the total revenue according to your recommended price?
Click here to see answer by ikleyn(52752)  |
Question 1169599: A children's park is 200m long and 12m wide.It is surrounded by a pathway of the same width.Suppose the total are of the park and the pathway is 25,956m².
A.What is the area of the park?
B.How wide is the pathway?
C.What kind of equation is formed?
D.How can you solve the value of x?
E.What is the total length and width of the park including the pathway?
Click here to see answer by josgarithmetic(39613) |
Question 1169656: Hi
Bob bought forks and spoons in the ratio of 4:3 respectively. They were bought for 156 dollars. The spoons cost 50 cents more than each fork. The amount he spent on the forks were 12 dollars more than the spoons.
How much did he spend on the spoons
How many forks and spoons did he buy.
Thanks
Click here to see answer by ikleyn(52752)  |
Question 1169780: The revenue of Aling Tura's bakery in selling bread is determined by the formula,R = 40-x² where x is the number of bread sold. The cost for producing those breads is given by a formula C=x+50. Using quadratic inequality, represent the positive or normal profit of Aling Tura.
Profit=Revenue-Cost
Click here to see answer by ikleyn(52752)  |
Question 1169800: Hi
John has 36 coins comprising 20c 50c and $1 coins. He has twice as many $1 coins as 20c coins and the value of the 50c coins $4.40 more than the total value of the 20c coins.
How many $1 coins does he have.
Thanks
Click here to see answer by Theo(13342)  |
Question 1169800: Hi
John has 36 coins comprising 20c 50c and $1 coins. He has twice as many $1 coins as 20c coins and the value of the 50c coins $4.40 more than the total value of the 20c coins.
How many $1 coins does he have.
Thanks
Click here to see answer by ikleyn(52752)  |
Question 1169801: A well-known fact is that a negative number multiplied by a negative number yields a positive number, or, in other words, that (−1)(−1)=1. When asked to justify this, three students reasoned as follows:
Student 1:
" Take the number line. Subtracting the smaller from the larger should give us the distance between two numbers. Now consider 0 and −1 on the number line.
The distance between them should be 1. So we have that
0−(−1)=1⟹−(−1)=1⟹(−1)(−1)=1
This proves the claim."
Click here to see answer by ikleyn(52752)  |
Question 1169801: A well-known fact is that a negative number multiplied by a negative number yields a positive number, or, in other words, that (−1)(−1)=1. When asked to justify this, three students reasoned as follows:
Student 1:
" Take the number line. Subtracting the smaller from the larger should give us the distance between two numbers. Now consider 0 and −1 on the number line.
The distance between them should be 1. So we have that
0−(−1)=1⟹−(−1)=1⟹(−1)(−1)=1
This proves the claim."
Click here to see answer by greenestamps(13195)  |
Question 1169818: You want to approximate the cube root of 7
using the Newton-Raphson method. First, write down
an appropriate function so that you can apply the Newton-Raphson method. Then,
let c0 = 2 and find c1. Show work please.
Click here to see answer by Alan3354(69443)  |
Question 1169835: Hi
2 robots Jupiter and Mars competed in a race. The speed of Jupiter was 20cm/sec faster than Mars. When Jupiter crossed the finish line in 12 sec Mars only completed 2/3 of the race.
What was the distance of the race
Thanks
Click here to see answer by ikleyn(52752)  |
Question 1169943: A bearing for a roller is .4 inches in diameter and .9 in. in length. The bearings are made from a material weighing 500 lbs. per cu. ft. Determine number of bearings in a 100 lb. container.
Check my calculations, please.
The bearing are cylinders. (I think).
Cylinder volume: Pi * r^2 * height (or length).
3.1416 ^ .2 * .2 * .9 = .11309 cu. in.
1728 cu. in. = 1 cu. ft.
.11309 cu. in. = .00006545 cu. ft.
.00006545 * 500 = 56.54 = 55 lbs.
55 * 100 = 5500 bearings.
Click here to see answer by htmentor(1343)  |
Question 1169980: A pipe 8 in. in diameter is transporting water at 48 ft. per min. Determine amount (gal.) will pass a certain point per hr.
A pipe is a cylinder.
Check my calculations, please.
Volume = Pi * r^2 * length
3.1416 * 4 * 4 * 576 = 28952.98 = 28953 cu. in.
231 cu. in. = 1 gal.
28953 / 231 = 125.337 = 125 gal.
125 * 60 = 7500 gal. per hr.
Click here to see answer by MathLover1(20849)  |
Question 1170063: Hi
June and Kevin have some cards. If june gives Kevin half her cards Kevin will have 72 more cards than june. If June gives Kevin one sixth of her cards Kevin will have 16 less cards than June.
How many cards do they have.
Thanks
Click here to see answer by MathLover1(20849)  |
Question 1170063: Hi
June and Kevin have some cards. If june gives Kevin half her cards Kevin will have 72 more cards than june. If June gives Kevin one sixth of her cards Kevin will have 16 less cards than June.
How many cards do they have.
Thanks
Click here to see answer by ikleyn(52752)  |
Question 1170157: The 1906 San Francisco earthquake resulted in a maximum 8.5 m (28 ft) of movement along the San Andreas Fault around Point Reyes. How many years of stress were relieved by the 1906 earthquake, if the speed of movement has been 5.6 cm/yr?
Click here to see answer by ikleyn(52752)  |
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