# Examples for 8th grade - page 112

- Supplementary angles

One of the supplementary angles is larger by 33° than the second one. Calculate the angles size. - Equations - simple

Solve system of linear equations: x-2y=6 3x+2y=4 - Poplar

How tall is a poplar by the river, if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root and 35m from the trunk to the top of the poplar? - Two gardeners

The garden with an area of 81 square meters was divided by two gardeners in a ratio of 4: 5. How much did the second gardener get more first? - Together

If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee) - 12 apples

12 apples and 2 loaves of bread cost 5.76 and 6 apples and 3 loaves of bread cost 7.68. How much is a loaf of bread? - Hectoliters

How deep is the pool if there are 2025 hectoliters of water and the bottom dimensions are a = 15 meters b = 7,5 meters and the water level is up to 9/10 (nine-tenths) of height. - Minute average

In a factory, four workers are assigned to complete an order received for dispatching 1400 boxes of a particular commodity. Worker A takes 4 mins per box, Worker B takes 6 minutes per box, C takes 10 mins per box, D takes 15 mins per box. Find the average. - Perimeter of a rectangle

If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - 40% volume

40% volume with 104 uph (units per labor hour) 8 people working. What is the volume? - Wave parameters

Calculate the speed of a wave if the frequency is 336 Hz and the wavelength is 10 m. - Intersections

Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - Rectangle area

The length of a rectangle of x units is increased by 10% and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area if the new rectangle? - Mixture 2

How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution? - Two equations

Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5 - Taxi

A taxi ride costs $3 plus $2.50 per mile. Write and Graph an equation in two variables that represents the total cost of a taxi ride. - Alaska vs Montana

Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area that is approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana? - The volume 2

The volume of a cube is 27 cubic meters. Find the height of the cube. - Area to perimeter

Calculate circle circumference if its area is 254.34cm2 - 15 teachers

15 teachers teach for a combined amount of 128 days over a period of 64 days. What is this expressed as a percentage?

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