Expression of a variable from the formula + direct relationship - practice problems
Number of problems found: 78
- The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - Three chefs
Let's say you have 3 Chefs that have made 14 cakes in 8 hours. Assuming they are working at the same efficiency, how many hours does it take 10 Chefs to bake 24 cakes? (Rounded to the nearest hour) - Seedlings 82997
If you plant seedlings in the bed at a distance of 20 cm, 40 will fit here. How many seedlings will fit here if you reduce the distance between them to 15 cm? - Construction 82214
At the construction site, the sand that belongs to the mortar is sifted through a sieve. At the same time, 1/6 of the coarse sand falls through. Determine how many m³ of sand must be brought in to obtain 2 m³ of sifted sand. - Proportional relationship 2
If y is proportional to x, and y=150 when x=2.4, what is the value of y when x=3.5 - Address on the envelope
Jana helped mom write the addresses on the envelopes. It took her 3 minutes to write the first address and only 2 minutes to write each other. How many minutes will it take her to list the addresses (including the first one) if she works at this rate? - The speed
A moving object's speed (v) is inversely proportional to the time (t) traveled and is written as? - Jointly and cube power
If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation representing this relationship. a. y=xz b. y = 2xz³ c.y = 2kx/z³ d.y = xz³/2 - Directly and inversely
If z varies directly as x and inversely as y, and z = 16 when x = 3 and y = 2, find z when x = 5 and y = 3 - The cost 4
The cost to tile a floor that measures 7 x 6 square feet is $ 2,100. How much will tile a floor measuring 11 x 13 square feet cost? - Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment? - A cook
A cook wants to make enough cookies for 159 students. The cookie recipe makes 1 1/4 dozen cookies. A dozen equals 12. How many batches does the cook need to make if each student gets one cookie? - Hour salary + fix
Devin recently hired a contractor to do some necessary work. The contractor quoted $395 for parts plus $62 an hour for labor. Let x represent the number of labor hours worked. Write an algebraic expression to represent the total cost of the repairs. - Intersections 49433
Draw a graph of the function given by the equation y = -2x +3, determine its intersections with the coordinate axes, and complete the missing coordinates A [3;? ], B [?; 8]. - Meters 48383
How many meters of wire is in a bundle of 900 g if 10 meters of wire weighs 150 g? - Part-timers 47393
Fifty part-time workers planted 5,200 trees in a forest on a weekend brigade the forest in 9 hours. How many more part-timers do they have to lose next time to plant the same number of trees in eight hours? - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Products 37321
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours) - Coins
The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41:9. How much copper and tin are in 2kg of bronze money? - Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1.
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