Algebra - math word problems - page 224 of 312
Number of problems found: 6224
- Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625 - Divisibility
Write all the integers x divisible by seven and eight simultaneously, for which the following applies: 100 < x < 200. - Children at pond
There were more than 40 and less than 80 children by the pond. A fifth of the children took a bath, and a seventh sunbathed. How many children were at the pond? - Factorial equation
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number. - Replacement of resistors
In a circuit, 2 resistors are connected and a current of 350 mA passes through it. Between the terminals of the first resistor we measured with a voltmeter a voltage of 7 V and between the terminals of the second resistor 10.5 V. Your task is to replace t - Journey
The road from A to B measures 11.5 km. Firstly, up the hill, then level plane, and then downhill. Tourists go uphill at 3 km/h, on planes at 4 km/h, and downhill at 5 km/h. From point A to B, it went 2 hours, 54 minutes back, 3 hours, and 6 minutes. How l - Car speeds
A truck left Beroun at 7 o'clock in the direction of Prague on the highway in the fog. In 20 minutes after that, a car drove by at the same place and along the same route at a 27 km/h higher speed. The passenger car overtook the truck after another twenty - Odd number sum
Determine the sum of all positive odd numbers less than 78 - Number series key
A series of numbers was created according to a specific key. Uncover it and fill in the last two missing numbers. 2-3-6-15-42-? -? - Exponent equation
Solve the equation: (4096^x) · 8! = 161280 - From Pardubice
Mrs. Černá left Pardubice and drove to Rychnov nad Kněžnou at an average speed of 60 km/h. At the same time, Dáša set off on her bicycle from Rychnov nad Kněžnou toward Pardubice at an average speed of 25 km/h. The point on the road where they passed each - Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of - Box of donuts
Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size, shape, and color. Six are jelly-filled, ten are lemon-filled, and eight are custard-filled. You randomly select one donut, eat it, and select an - BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 85 kg and height h = 152 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index, it is possib - Product Cost Weight Distribution
If you know that the company produces four similar products that differ only in the weight of the packaging, determine the final price of the product in terms of costs. The total cost of manufacturing the product was CZK 5,745,000. And 10 kg 15,000 pcs B - Car braking force
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time? - Filip Monika meeting
Philip traveled 15 km from Monica's house to his grandmother's village. Monika can visit him. They meet at the point where the bikes arrive. They both left the house at 9:00. At what time did they meet when Philip was walking at a speed of 19 km/h and Mon - Car opposite meeting
The distance between Aš and Břeclav is 477 km. At what speeds were the cars driving against each other when the slower one left Aš at 6:30 AM and the second left Břeclav at 8 AM? They meet at 10:30 AM, and the difference in their speeds is 41 km/h. How fa - Swimming pool
Thaddeus set off on foot to the swimming pool, which is 18 km from his residence. The trip took him two and a half hours. An hour later, his brother William met him on his bicycle, whose journey took three-quarters of an hour. a) Show the described situat - Car speed calculation
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b
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