- 3/8 of the people at a restaurant are adults (#3258)
3/8 of the people at a restaurant are adults. If there are 90 more children than ...
rational numbers, number sense, numbers
- 7 times the reciprocal of a number (#3218)
7 times the reciprocal of a number plus 2/3 is 3...
rational numbers, number sense, numbers
- A driver averaged 50 miles per hour (#992)
A driver averaged 50 miles per hour on the round trip between Baltimore and Philadelphia, 100 miles away. The average speeds for going and returning were x and y miles per hour, respectively. Show that
y=25x/(x-25)
numbers, rational numbers, number sense, rational functions
- A grade school is taking a trip (#305)
A grade school is taking a trip to the zoo. A parent group of 6 people is responsible for putting together 225 box lunches for the trip. The group hopes to recruit extra people for the task. Write an equation that gives the average number "n" of box lunches made per person as a function of the number "p" of parents that can come in and help complete the task. Then graph the ...
rational functions, rational numbers, number sense, numbers
- A marketing manager travels (#61)
A marketing manager travels 1080 miles in a corporate jet and then an additional 240 miles by car. If the car ride takes one hour longer than the jet ride takes, and if the rate of the jet is 6 times the rate of the ...
simplifying rational expressions, rational expressions, rational numbers, expressions, number sense, numbers
- A motor boat can travel (#1997)
A motor boat can travel 20 mph in still water. If the boat can travel 3 miles down stream on a river in the same time it takes to travel 2 miles ...
rational numbers, numbers, number sense
- A motorboat travels 30 miles (#1193)
A motorboat travels 30 miles up a river and returned a distance of 27 miles. The entire trip takes 5 hours. If the rate of the motorboat in still water is 12 ...
rational functions, rational numbers, number sense, numbers
- Ariana took 2 hours longer to drive 360 miles (#1996)
Ariana took 2 hours longer to drive 360 miles on the first day of a trip thans she took to drive 270 miles on the second ...
rational numbers, number sense, numbers
- At a little league football game (#375)
At a little league football game, the concession stand sold 6 orange sodas for every 5 grape sodas sold. If 255 sodas were ...
rational numbers, number sense, numbers
- At a well known university (#825)
At a well known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many underrgraduate students as there are graduate ...
rational expressions, rational numbers, expressions, number sense, numbers
- Boyle`s Law, applied to the amount of gas (#34)
Boyle's Law, applied to the amount of gas used in a given experiment at a constant temperature, states that pV = 240 where p is pressure measured in kilopascals and V is volume measured in cubic centimeters. If a decrease in pressure of 1 kPa produces an increase in volume of 20 cm^3...
rational functions, rational numbers, number sense, numbers
- Find a number such that the sum of three times the number (#2535)
Find a number such that the sum of three times the number and 25 times the reciprocal of the number is 20
rational numbers, number sense, numbers
- If a single 2 hp motor draws (#1632)
If a single 2 hp motor draws 13.8 amps current on 115 volt AC ...
numbers, number sense, rational numbers
- If k is an interger (#2647)
If k is an interger and 0.0010101 x 10k is greater than 1...
rational numbers, number sense, numbers, scientific notation
- it takes three hours for a pipe (#1269)
it takes three hours for a pipe to fill a tank of water if the tank does not leak. Our tank has a crack that draines the tank in 5 ...
numbers, number sense, rational expressions, expressions, rational numbers
- Jaime bought a case of concert T-shirts (#550)
Jaime bought a case of concert T-shirts for $450. She kept two for herself and sold the rest for $560, making a profit of $10 on each ...
rational expressions, rational numbers, expressions, number sense, numbers
- James uses 1/3 of his land (#2513)
James uses 1/3 of his land for growing durians 1/4 for bananas 3/8 for guavas and remaining 9 hectares for ...
rational numbers, number sense, numbers
- Jim uses 1/3 of his land (#507)
Jim uses 1/3 of his land for growing durians. 3/8 for guavas. 1/4 for bananas and remaining 9 hectres for ...
rational numbers, number sense, numbers
- Melanie can paint a certain barn (#824)
Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2 x days. Write a rational expression for the fraction of the barn tht they complete in one day by working together. Evaluate the expression for x =5
rational expressions, rational numbers, expressions, number sense, numbers, work rate, rate
- Monica went to store and buy (#2336)
Monica went to store and buy 3 chocalate milk for 2.99 all ...
rational numbers, number sense, numbers
- Mr. Jenkins can dig a ditch (#39)
Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2\3 hour. How long does it take for ...
simplifying rational expressions, rational expressions, rational numbers, expressions, number sense, numbers, work rate, rate
- multiplying rational expressions (#112)
Maria's favorite candy bar has 230 claories. the nutrition label sates that 7/8 of the calories come from ...
multiplying rational expressions, expressions, rational numbers, rational expressions, numbers, number sense
- Nine times the reciprocal of a number (#1636)
Nine times the reciprocal of a number equals 3 times the reciprocal of 7...
numbers, number sense, rational numbers
- rational numbers (#116)
Is 3pi/2 a rational ...
rational numbers, number sense, numbers
- rational numbers (#1425)
The sum of a number and its reciprocal is 29/10...
numbers, number sense, rational numbers
- Roma`s skates cost (#1508)
Roma's skates cost $175. Every 2 weeks that she skates, she spends $4.50 on sharpening the blades. One year, she spent a total of $256 on the cost of skates and ...
numbers, number sense, rational numbers
- simplifying rational expressions (#133)
Mario can do the work in X hours. Luigi takes one more hour than Mario to do the work. Together they finish the work in 100 ...
simplifying rational expressions, rational expressions, rational numbers, expressions, number sense, numbers, work rate, rate
- Suppose that x mL of pure acid (#980)
Suppose that x mL of pure acid are added to 130 mL of a 40% acid ...
rational functions, rational numbers, number sense, numbers
- Suppose you buy 1 2/3 lb of bananas (#2725)
Suppose you buy 1 2/3 lb of bananas for .65 ...
numbers, number sense, rational numbers
- The additive inverse of a number (#1474)
The additive inverse of a number divided by twelve is the same as one less than three times its ...
rational numbers, rational expressions, expressions, number sense, numbers
- The sum of a number and 8 times its reciprocal (#2507)
The sum of a number and 8 times its reciprocal is 6...
rational numbers, number sense, numbers
- The sum of a number and its reciprocal (#225)
The sum of a number and its reciprocal is 13/6...
reciprocal, rational numbers, number sense, numbers
- The sum of two rational numbers (#191)
The sum of two rational numbers is 15/16. If one of them is 121/112...
rational numbers, number sense, numbers
- The width of a rectangle (#1326)
The width of a rectangle is 16 feet less than 3 times the length. If the area is 35 square ...
numbers, number sense, rational numbers
- There are 42 pupils in a class (#2545)
There are 42 pupils in a class. 3/4 of the boys and 2/3 of the girls travel to school by bus. The total number of boys and girls who travel to school by bus is 30. How many boys are there in the ...
rational numbers, number sense, numbers
