Rearrange variables - math word problems - page 129 of 147

Number of problems found: 2922

Cube edge
Determine the edge length of a cube whose surface area is 37.5 cm².
Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original.
Unknown number 7
16% of the unknown number is 21 less than the unknown number itself. Determine the unknown natural number.
Three children
Three children eat 8 chocolates in 6 days. How many chocolates do 6 children eat in 18 days?
Exponent value
Determine what z equals in the expression 169^z = 2 · 6.5
Exponent equation
What is the solution of the equation: 2^x = 2/64
Geometric progression
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6
Work time
Josef would do the work himself in 5 hours. Josef and Michael would do the work together in 3.5 hours. Determine how long it would take Michael to do the job independently.
Number difference
The difference between the two numbers is 16. They are natural numbers. The first number is 17 times larger than the second number. Identify both of these numbers.
Unknown number 5
Daniel thinks of an integer. When he changed this number to a ratio of 2:5, he got the number 2.8. Determine what number Daniel thinks.
Raspberries
Dan had 20 raspberries, and John had 90% more raspberries than Dan. Find the total number of raspberries Dan and George have together.
Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)
Price saleoff
Shoes cost y euros. They were first discounted by 12% and then 50% of the new amount. After this double discount, the cost was exactly 22 euros. Determine the original price of the shoes.
Coefficient
Determine the coefficient of this sequence: 7.2; 2.4; 0.8
Number puzzle
Anthony said: I have a natural number x. if I multiply it by four-thirds, I get three times the original. What number did Anthony mean?
Work time
Michael would cut the fence himself in 12 hours. It would take Michael and George 8 hours together. Determine how long it would take for George to do the job.
Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig
Exponent equation
Determine the value of x: 2^x = (2^-3): 2
Exponent value
Find z if 12^z = 1/144
Square root puzzle
Find a natural number whose square root is 27 times its square root.

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