Direct proportionality - math word problems - page 31 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Copy typist
Typist for 12 hours, rewritten 15% of the manuscript. After how many hours will he do 35% of the manuscript?
- Comsumption
On route 150 km long car consumed 11 liters of gasoline. How much gasoline is consumed for driving 300 km?
- Sisters
Sisters Zuzka Lenka and Vierka have saved for a new bike. Zuzka save € 90, Lenka save € 90 and Vierka save € 82. Missing 30% gave them their mother. What is the price of the bike?
- Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid?
- ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm.
- Cylinder - h2
The cylinder volume is 2.6 liters. The base area is 1.3 dm². Calculate the height of the cylinder.
- Car consumption
The car consumes 7.3 l/100 km. If the diesel price is 1.63 USD/l, how much will it cost to ride 330 km long?
- QuizQ2
The square of the first number is equal to three-fifths of the second number. Determine both numbers if you know that the second number is five times greater than the first, and neither of the numbers is not equal to zero.
- Product V2
The price of the product was increased by 12%. Price increased by 273. How much money would this product cost if it was, on the contrary, by 19% discounted?
- Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them?
- Hockey teams goals
Hockey teams fired 200 goals. The second team was 13 less than the first team, the third 16 less than the first, and the fourth team had 19 goals less than the first. How many goals fired each team?
- Jan
Jan is 13 years old, and Peter is 21 years old. How many years will their age be in the ratio of 7:9?
- Plan of the village
The plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality.
- Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum.
- Electrics - conductor
The wire is 107 meters long at 0 °C, and at every temperature increase of 1 °C, the length increases by 0.15 mm per 1 m length of wire. Determine a function that represents the wire's overall length as a temperature function. What is the length of the wir
- Aircraft
The aircraft has a fuel tank 68 hl of aviation fuel, and flight consumes 3.6 liters of fuel. Identify the function that expresses the dependence of the fuel volume in the tank on the track distance plane flew by. How many hectoliters of fuel is still in t
- Map 3
Map scale is M = 1: 50000 . Two cottages which are shown on the map are actually 19 km away. What is its distance on the map?
- Map 2
At what scale is a map made if the distance 8.2 km corresponds to the map segment 5 cm long?
- Pizza
Pizza with a diameter of 40 cm weights 409 g. What diameter will a pizza weigh 764 g made from the same cloth (same thickness) and decorated?
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