Answer:
The distance to the market is 2000 m
Step-by-step explanation:
∵ John runs to the market and comes back in 15 minutes
→ Change the min. to the sec. because the unit of his speed is m/s
∵ 1 minute = 60 seconds
∴ 15 minutes = 15 × 60 = 900 seconds
→ Assume that t1 is his time to the market and t2 is his time from
the market
∵ t1 + t2 = 15 minutes
∴ t1 + t2 = 900 ⇒ (1)
→ Assume that the distance to the market is d
∵ His speed on the way to the market is 5m/s
∵ Time = Distance ÷ Speed
∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)
∴ t1 = 0.2d ⇒ (2)
∵ His speed on the way back is 4m/s
∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)
∴ t2 = 0.25d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 0.2d + 0.25d = 900
∴ 0.45d = 900
→ Divide both sides by 0.45
∴ d = 2000 m
∴ The distance to the market = 2000 m
Answer:
6. C. 16.64 km
7. B. P 216.00
8. B. P 565 425
9. C. 0.27
10. D. 24.6875
11. B. 3 kg
12. B. ratio
13. A. Proportion
14. D. 6:10
15. B. 2:3
Step-by-step explanation:
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Speed = 5.12km/hr
Time = 3.25 hr
To find the distance;
Distance = speed * time
Distance = 5.12 * 3.25
Distance = 16.64 km
7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?
Quantity = 48 pencils
Cost price = P 4.50
To find the total selling price;
Total = quantity * cost price
Total = 48 * 4.50
Total = P 216
8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they
pay?
Quantity = 125.65 m²
Cost price = P 4500
Total price = 125.65 * 4500
Total price = P 565425
9. What is 2.7/10 = 0.27
10. What is 98.75/4 = 24.6875
11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar
contain?
Mass = 63 kg
Amount = 21 jars
Each jar = 63/21 = 3 kg
12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
13. Proportion: It is a statement that two ratios are equal.
14. What ratio is equal to 3:5?
We would multiply both ratio by 2
3:5 * 2 = 6:10
15. What ratio is proportional to 4:6?
We would divide both ratio by 2
4:6 / 2 = 2:3
Answer:
The function of f(x) is 20 for the middle problem idk the others
Step-by-step explanation:
53.778 is the answer. I hope this helps and have a good day!
