Grade - math word problems - page 575 of 950

Number of problems found: 18982

Round-trip
A woman works at a law firm in city A, about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 40 mph.
Wave parameters
Calculate the speed of a wave if the frequency is 336 Hz and the wavelength is 10 m.
The size
The sides of the trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60cm, calculate the length of each side.
The painter
For the painter to get the desired color, he must mix green and yellow in a ratio of 4:7. If it has 28 l of green color, how many liters of yellow should he add? How many liters of mixed color does he get?
Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets?
Container 7859
I have 35% alcohol and want to make 1 liter of 1% solution. How much ml of alcohol should I put on the bottom of a one-liter container and pour water over it?
Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
Tributaries 7857
Two hundred forty liters of water flow into the tank from 6 tributaries in 6 minutes. The wider one will flow 20 liters more in 9 minutes than the narrower one in 11 minutes. How many liters of water flow out of each inflow in 1 minute?
Hrebienok 7856
A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00?
The temperature
The temperature is 0 degrees. It drops 5 degrees after 1 hour and then drops 3 degrees more the next hour. What is the temperature after 6 hours?
Calculate 7854
The surface of the cube is 61.44 cm². Calculate its volume.
Verticall growth
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
Angle's 7852
The hour and minute hands on the clock face make an alpha angle. If you know it's 10 hours and 12 minutes, what is the angle's size?
Construction of the road
Six trucks are supposed to be transported for 18 days to construct the road dam. After three days, the transport company sent two more cars to the construction site. How long will it take to carry the material?
Mast shadow
The mast has a 13 m long shadow on a slope rising from the mast foot toward the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines.
Equation 7848
Solve the equation with the unknown a: 3 (2a + 1) = (a-3) • 4-5
Greg and Bill
Greg is 18 years old. He is six, less than four times Bill's age. How old is Bill?
Lampshade 7846
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade?
Equation: 7845
Solve the equation: 3968-x = 3179
Double and triple
Find the number to which it is true: Its double is five less than its triple.

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