Answer :
Let's solve each of the problems step-by-step:
Finding the Speed of the Car:
- To find the speed of the car, divide the total distance traveled by the total time taken.
- Distance = 693 km, Time = 7 hours.
- Speed = [tex]\frac{693 \text{ km}}{7 \text{ hours}} = 99 \text{ km/h}[/tex].
- Thus, the speed of the car is 99 km/h.
Finding the Mass of Each Bag of Cement:
- To find the mass of each bag, divide the total mass by the number of bags.
- Total mass = 588 kg, Number of bags = 14.
- Mass per bag = [tex]\frac{588 \text{ kg}}{14} = 42 \text{ kg}[/tex].
- Therefore, each bag of cement weighs 42 kg.
Finding the Number of Pages Used in the Scrapbook:
- To find out how many pages Lillian will use, divide the total number of stamps by the number of stamps per page.
- Total stamps = 800, Stamps per page = 32.
- Number of pages = [tex]\frac{800}{32} = 25[/tex].
- Hence, Lillian will use 25 pages of her scrapbook.
Finding the Amount of Cement Needed:
- The builder mixes 4 kg of gravel with 1 kg of cement.
- For every 4 kg of gravel, 1 kg of cement is needed.
- Given 156 kg of gravel, we find the amount of cement by setting up a proportion:
- [tex]\frac{4 \text{ kg (gravel)}}{1 \text{ kg (cement)}} = \frac{156 \text{ kg (gravel)}}{x \text{ kg (cement)}}[/tex].
- Solving for [tex]x[/tex], we multiply and divide: [tex]x = \frac{156 \times 1}{4} = 39 \text{ kg}[/tex].
- Therefore, the builder needs to put 39 kg of cement with 156 kg of gravel.