Expression of a variable from the formula - practice problems - page 5 of 139
Number of problems found: 2769
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
- Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- Unknown en
I think of a number. If I subtract 9 from it and multiply this difference by 4, the result is 128. Form an equation and solve it to find the number.
- A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree.
- A pair 2
Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now?
- The bill 2
I paid 3/5 of the bill. If 400 USD of the bill is still due, what was the total amount of the bill?
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm?
- Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area .
- Roland 2
Roland sold his watch at a 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch.
- Use the formula for area
A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides.
- Numerator and denominator
If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?
- NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block
- Lara's sequence
Lara starts with a number less than 20. She divides it by 2 and adds 6. She then divides this result by 3. Her answer is 4.5. What number does she start with?
- One muffin
Eight muffins and one drink cost $8.12. If the drink costs $1.24, find the cost of one muffin.
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.
- 13 times
1/3 times the sum of a number, and 2.6 is 4.9. What is the number? Enter your answer as a simplified mixed number in the box.
- The average 12
The average of the first five numbers drawn was 2499. the first four numbers were 4165, 320, 7142, and 64. What was the fifth number?
- Soup mixes
You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars, and you receive the remaining amount. You sell 16 soup mixes for a total of (16x+96) dollars. How much money do you receive for each soup
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