Isolating a variable in the formula - math word problems - page 36 of 144
Number of problems found: 2866
- Perimeter 63114
The perimeter of the regular octagon is 8u + 16 cm. Calculate the side if u = 0.5 cm.
- Grandfather 63074
My only son was born when I was 37 years old. That was exactly 32 years after the death of my grandfather, and he died at the age of 64. Dedecek was 12 years older than Grandma; they got married in 1947, just when Grandma was 18 years old. What year was m
- Environment 62874
Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total n
- Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides.
- Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers.
- Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two
- Right triangle generator
Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator?
- Dimension 62514
The cabinet has a volume of 5.4 m3, a height of 2 m, and a width of 1.5 m. What is the third dimension of the cabinet?
- Highest 62464
The iron pipes are placed in 10 rows, one above the other so that in the highest upper row, there are 15 pipes, and in each other, there is one tube more. How many pipes are there?
- Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w
- Salary increase 2
Each year, Francesca earns a salary 2 percent higher than her previous year's salary. In her first five years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?
- The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms.
- The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms.
- Volume 62064
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box?
- Circumference of a circle
Calculate the area of a circle if its circumference is 21.98 dm. Express the result in square decimetres.
- Salaries
The employer increased the salaries of its three employees by an average of 30 euros. One increased his salary by € 20, the other by € 45. How many euros did he raise the salary of a third employee?
- Two companies
The two companies did work together for 100 days. The first company would do it in 150 days. How many days would the work take the second company?
- Geometric 61524
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3
- Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7
- Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both
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