Direct proportionality - math word problems - page 21 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
- Hammerhead 5061
The hammerhead weighs 1 kg and the handle 250 g. What is the weight ratio of these two parts of the hammer?
- Outstanding 5054
I have CZK 6,155, and I need to divide it as a percentage into two outstanding amounts: CZK 12,000 and CZK 35,000. How much money will I send to each of them? Thank you for your answer.
- Display case
Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs.
- Inspectors 5037
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
- Kilometers 5008
If the city is far from the city and is 15 kilometers long, and the scale of the map is 1:300000, what is the distance on the map?
- Length 4992
The part is 230 meters long. What will its image length be on the plan at a scale of 1:2500?
- Three numbers
The sum of the three numbers is 287. These numbers are in a ratio of 3:7:1/4. Find these numbers.
- Baker
The baker needs 10 kg of flour to make 12 kg of dough. How much flour does he need to make a 100 kg dough?
- Sea water
One tonne of seawater contains 25 kg of salt. How many tonnes of seawater needs to be evaporated to obtain 1 tonne of salt?
- Study
For 7 hours of study, she scored a 75, so if she made 93, how many hours would she need to study?
- Photo egative
Negative dimensions are 36mm and 28mm. What will the photo size be in the 21:4 ratio?
- Photo enlarge
Mark wants to enlarge a 4-inch by 6-inch photo to 15 inches in height. Use a ratio table to determine the new width of the photo.
- Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm.
- Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters?
- Distance 4869
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map?
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
- Smaller 4835
There are two gears in the wall clock. The larger wheel has 54 teeth, and the smaller one has 24 teeth. How many times does the small wheel turn if the big one turns four times?
- Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height is a tree (in meters)?
- Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8
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