Isolating a variable in the formula - math word problems - page 109 of 145

Number of problems found: 2883

Calculate 5770
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere
Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
Machine 5751
The washing machine became cheaper by 43.5 euros, which is 15% of the old price. What is the new price?
Accompanying 5748
An accompanying vehicle set off behind the car with an oversized load moving at a speed of 16 km/h in 2.5 hours, which must reach it in 45 minutes. What speed does he have to go?
Three-quarters 5746
Ondra found that three-quarters of a bag of washing powder was used up in their family in 12 weeks. How many more weeks will they last? How long does a whole bag of washing powder last?
The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river?
Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
Two annuluses
The area of the annular circle formed by two circles with a common center is 100 cm². The radius of the outer circle is equal to twice the radius of the inner circle. Determine the outside circle radius in centimeters.
Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm and CD = 4cm. Calculate the length of the AC diagonal.
Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?
Isosceles 5711
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter?
Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x.
Dividing - fractions
11/4, what will we divide to get 11/12?
Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going?
Manufacturing 5686
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
Parallelogram 5685
Calculate the height of the parallelogram, which has an area of 2.31 square meters and a side of 15.4 cm.
Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
Three-fourths 5676
The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum?

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