Equation + expression of a variable from the formula - practice problems - page 6 of 40
Number of problems found: 799
- In a museum
There are 250 people in a museum 2/5 of the 250 people are girls. 3/10 out of the 250 people are boys. The rest of the 250 people are adults. Find the number of adults at the museum. - Ivan rented
Ivan rented a truck for one day. There was a base fee of $14.95, and he drove an additional charge of 73 cents for each mile. Ivan had to pay $114.96 when he returned the truck. For how many miles did he drive the truck? - The scores
The scores of 10 learners in a test arranged in ascending order is 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23 and 24. If the median mark is 20, find (a) value of a. (b) mean - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle? - Ratios equation
Find the number x so that: 1:x=4:100 - Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base. - The number 6
The number of pizza slices Gilbert ate is four more than three times the amount of candy bars he ate. He ate ten slices of pizza. How many candy bars did he eat? - Determine 73454
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm. - Arithmetic 72544
The arithmetic mean of two numbers is 12. The first number is 5. What is the value of the second number? - Hypotenuse 72524
We know the height of the hypotenuse h = 4cm and the hypotenuse c = 19cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - Length and width
Use the 5-step procedure. The perimeter of a rectangle is 34 in. The length is 4 in less than three times the width. Find the length and width. - 150 percent
One hundred fifty percent of what number is 15? 150% of x is 15. - Relatively 71994
The two numbers are in a relatively 3: 7 ratio. Specify a smaller number if the value of the larger number is 21. - The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water, it holds 125.6hl. Find the depth of the tank. - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Combinations 70714
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Improvements 70344
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task? - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Circumference 69934
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter?
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