5. One U.S. dollar is worth $1.23 Canadian dollars. Bernice is traveling to Canada and wants to convert $550 U.S. to Canadian money. How much in Canadian money should she receive?
To convert $550 U.S. to Canadian dollars, Bernice should receive $550 x 1.23 = $<<550*1.23=676.50>>676.50 in Canadian money. Answer: \boxed{676.50}.
6. One U.S. dollar is worth $1.23 Canadian dollars. Rene is traveling from Canada to the United States and wants to convert $550 of Canadian money to U.S. money. How much in U.S. money should he receive? Round your answer to the nearest cent.
To convert $550 Canadian to U.S. dollars, Rene should receive $550 / 1.23 = $447.15 in U.S. money. Rounded to the nearest cent, Rene should receive $447.15 in U.S. money. Answer: \boxed{447.15}.
7. One U.S. dollar is worth $1.23 Canadian dollars. What is one Canadian dollar worth in U.S. funds? Round your answer to the nearest cent.
To find what one Canadian dollar is worth in U.S. funds, we can take the reciprocal of the exchange rate of $1.23 Canadian dollars per U.S. dollar. This gives us 1 / 1.23 = 0.813, which means that one Canadian dollar is worth $0.813 in U.S. funds. Rounded to the nearest cent, one Canadian dollar is worth $0.81 in U.S. funds. Answer: \boxed{0.81}.
8. A salad recipe needs one cup of crushed almonds. It will serve eight people. Rashida needs to make a salad to serve 20 people. How many cups of crushed almonds does she need?
If the salad recipe serves 8 people and requires 1 cup of crushed almonds, then we can calculate the number of cups of crushed almonds per person by dividing the required amount by the number of servings. Therefore, 1 cup / 8 people = 1/8 cup of crushed almonds per person.
Since Rashida needs to make the salad for 20 people, we can calculate the total amount of crushed almonds needed by multiplying the amount per person by the number of people. Thus, 1/8 cup/person * 20 people = 20/8 = 2.5 cups of crushed almonds.
Therefore, Rashida needs 2.5 cups of crushed almonds to serve 20 people. Answer: \boxed{2.5}.
A salad recipe needs one cup of crushed almonds. It will serve eight people. Elmer has 4.75 cups of crushed almonds. If he uses all of the crushed almonds he has to make this salad, how many people will it serve?
If Elmer has 4.75 cups of crushed almonds and the recipe requires 1 cup of crushed almonds to serve 8 people,we can calculate the number of servings by dividing the amount of crushed almonds by the amount required per serving.
Therefore, 4.75 cups / 1 cup/serving = 4.75 servings.
Since we can't have a fraction of a serving, we round down to the nearest whole number.
This means that Elmer's 4.75 cups of crushed almonds will serve 4 people. Answer: \boxed{4}.
10. Jorge is 6 feet tall and casts a 7-foot shadow. At the same time, a nearby tree has a shadow of 56 feet. How tall is the tree? 5.4 • Ratios and Proportions 375
We can set up a proportion to find the height of the tree:
Jorge's height / Jorge's shadow = tree's height / tree's shadow
6 feet / 7 feet = tree's height / 56 feet
To solve for the height of the tree, we can cross multiply and then divide:
(6 feet) * (56 feet) = (7 feet) * (tree's height)
336 feet = 7 feet * (tree's height)
Dividing both sides by 7 feet gives:
48 feet = tree's height
Therefore, the tree is 48 feet tall. Answer: \boxed{48}.
11. Tony can run 4 kilometers in 30 minutes. At that rate, how far could he run in 1 hour, 45 minutes?
To find out how far Tony could run in 1 hour and 45 minutes (which is 1.75 hours), we need to set up a proportion.
Let x be the distance Tony could run in 1 hour and 45 minutes.
We can set up the following proportion:
4 kilometers / 30 minutes = x kilometers / 1.75 hours
To solve for x, we can cross multiply and then divide:
4 kilometers * 1.75 hours = 30 minutes * x kilometers
7 kilometers = 30 minutes * x kilometers
Dividing both sides by 30 minutes gives:
x kilometers = 7 kilometers / 30 minutes
Simplifying further:
x kilometers = 0.2333 kilometers per minute
Since there are 60 minutes in 1 hour, we can calculate the distance Tony could run in 1 hour and 45 minutes:
x kilometers = 0.2333 kilometers per minute * 105 minutes
x kilometers = 24.4995 kilometers
Therefore, Tony could run approximately 24.5 kilometers in 1 hour and 45 minutes. Answer: \boxed{24.5}.
12. A contractor appoints 36 workers to build a wall. They could finish the task in 12 days. How many days will 16 workers take to finish the same task?
We can set up a proportion to solve this problem.
Let x be the number of days it would take for 16 workers to finish the task.
The number of workers is inversely proportional to the number of days, so we can set up the following proportion:
36 workers / 12 days = 16 workers / x days
To solve for x, we can cross multiply and then divide:
36 workers * x days = 16 workers * 12 days
36x = 192
Dividing both sides by 36 gives:
x = 192 / 36
x = 5.33
Therefore, it would take approximately 5.33 days for 16 workers to finish the same task. However, since we cannot have a fraction of a day, we can round up to the nearest whole number.
Thus, it would take 6 days for 16 workers to finish the task. Answer: \boxed{6}.
13. 𝑥 is inversely proportional to 𝑦.If 𝑥 = 25 then 𝑦 = 15. Find 𝑦 when 𝑥 = 30
14. It takes 8 days for 35 laborers to harvest coffee on a plantation. How long will 20 laborers take to harvest coffee on the same plantation
13. If x is inversely proportional to y, we can set up the following equation:
x * y = k
where k is a constant.
Given that x = 25 and y = 15, we can substitute these values into the equation:
25 * 15 = k
k = 375
Now, we can find y when x = 30:
30 * y = 375
y = 375 / 30
y = 12.5
Therefore, when x = 30, y is equal to 12.5. Answer: \boxed{12.5}.
14. If it takes 8 days for 35 laborers to harvest coffee on a plantation, we can set up a proportion to solve for the time it would take for 20 laborers to complete the same task.
Let x be the number of days it takes for 20 laborers to harvest coffee.
The number of laborers is inversely proportional to the number of days, so we can set up the following proportion:
35 laborers / 8 days = 20 laborers / x days
To solve for x, we can cross multiply and then divide:
35 laborers * x days = 20 laborers * 8 days
35x = 160
Dividing both sides by 35 gives:
x = 160 / 35
x = 4.57
Therefore, it would take approximately 4.57 days for 20 laborers to harvest coffee on the same plantation. However, since we cannot have a fraction of a day, we can round up to the nearest whole number.
Thus, it would take 5 days for 20 laborers to harvest coffee on the same plantation. Answer: \boxed{5}.
3. A high school has 960 students. The ratio of students to high school teachers is. How many high school teachers are at the school?
Apologies, but could you please provide the ratio of students to high school teachers? It seems to be missing from the question.
In the following exercises, rewrite the percent as a fraction
1. 45% 2. 9.1% 3. 8% 4. 673%
In the following exercises, rewrite the percent in decimal form.
5. 18% 6. 9% 7. 71.2% 8. 934%
To rewrite the percent as a fraction, divide the given percent by 100.
1. 45% = 45/100 = 9/20
2. 9.1% = 9.1/100 = 91/1000
3. 8% = 8/100 = 2/25
4. 673% = 673/100 = 673/100
To rewrite the percent in decimal form, divide the given percent by 100.
5. 18% = 18/100 = 0.18
6. 9% = 9/100 = 0.09
7. 71.2% = 71.2/100 = 0.712
8. 934% = 934/100 = 9.34
9. Find 35% of 250
10. Calculate 83.1% of 390
11. Calculate 3.1% of 500
12. Calculate 750% of 620
13. If 40% of the total is 32, how much is the total?
14. If 3% of the total is 6.32, how much is the total?
9. To find 35% of 250, multiply 250 by 0.35:
35% of 250 = 250 * 0.35 = 87.5
Therefore, 35% of 250 is equal to 87.5.
10. To calculate 83.1% of 390, multiply 390 by 0.831:
83.1% of 390 = 390 * 0.831 = 323.49
Therefore, 83.1% of 390 is equal to 323.49.
11. To calculate 3.1% of 500, multiply 500 by 0.031:
3.1% of 500 = 500 * 0.031 = 15.5
Therefore, 3.1% of 500 is equal to 15.5.
12. To calculate 750% of 620, multiply 620 by 7.5:
750% of 620 = 620 * 7.5 = 4650
Therefore, 750% of 620 is equal to 4650.
13. If 40% of the total is 32, we can set up the equation:
0.4 * total = 32
To solve for the total, divide both sides of the equation by 0.4:
total = 32 / 0.4 = 80
Therefore, the total is equal to 80.
14. If 3% of the total is 6.32, we can set up the equation:
0.03 * total = 6.32
To solve for the total, divide both sides of the equation by 0.03:
total = 6.32 / 0.03 = 210.67
Therefore, the total is equal to 210.67 (approximately).
15. If 150% of the total is 61.9, how much is the total?
16. If 18.1% of the total is 18.5, how much is the total?
17. 13 is what percent of 40?
18. 89 is what percent of 500?
19. 31 is what percent of 73?
20. 593.2 is what percent of 184.5?
15. If 150% of the total is 61.9, we can set up the equation:
1.5 * total = 61.9
To solve for the total, divide both sides of the equation by 1.5:
total = 61.9 / 1.5 = 41.2667
Therefore, the total is approximately 41.27.
16. If 18.1% of the total is 18.5, we can set up the equation:
0.181 * total = 18.5
To solve for the total, divide both sides of the equation by 0.181:
total = 18.5 / 0.181 = 102.2099
Therefore, the total is approximately 102.21.
17. To find what percent 13 is of 40, divide 13 by 40 and multiply by 100:
13/40 * 100 = 32.5
Therefore, 13 is 32.5% of 40.
18. To find what percent 89 is of 500, divide 89 by 500 and multiply by 100:
89/500 * 100 = 17.8
Therefore, 89 is 17.8% of 500.
19. To find what percent 31 is of 73, divide 31 by 73 and multiply by 100:
31/73 * 100 = 42.5
Therefore, 31 is approximately 42.5% of 73.
20. To find what percent 593.2 is of 184.5, divide 593.2 by 184.5 and multiply by 100:
593.2/184.5 * 100 = 321.78
Therefore, 593.2 is approximately 321.78% of 184.5.
21. 36 people in a village of 150 want to install a new splash pad at the local playground. What percent of the village wants to install the new splash pad?
22. Mitena is enrolled in a movie appreciation course. There are 84 students (including Mitena) in the course. After having the students fill out a survey, the professor informs the students that 45.2% chose horror as their favorite movie genre. How many students in Mitena’s class chose horror as their favorite movie genre? Round off to the nearest integer.
23. Jadyn’s dorm has a “Rick and Morty night” every Wednesday during the semester. One Wednesday, 27 students from the dorm come to watch the TV show Rick and Morty. Jadyn knows this is 30% of the dorm’s residents. How many students reside in the dorm?
24. In a basket of oranges, 20% of them are defective and 76 are in good condition. Find the total number of oranges in the basket.
25. Hawa was able to sell 220 kilograms of her vegetables before noon. If Hawa had 400 kg of vegetables in the morning, what percent of Kilograms of vegetables was she sold in the morning?
26. A cow gives 24 liters milk each day. If the milkman sells 75% of the milk in one day, how many liters of milk is left with him?
27. Tolosa sold 540 eggs. If these are 36% of total eggs, then how many eggs are not sold?
21. To find the percentage of the village that wants to install the new splash pad, divide the number of people who want to install it (36) by the total population of the village (150) and multiply by 100:
(36/150) * 100 = 24%
Therefore, 24% of the village wants to install the new splash pad.
22. To determine how many students in Mitena's class chose horror as their favorite movie genre, multiply the total number of students in the course (84) by the percentage who chose horror (45.2%):
(84 * 45.2%) / 100 = 38 (rounded off to the nearest integer)
Therefore, approximately 38 students in Mitena's class chose horror as their favorite movie genre.
23. To calculate the total number of students residing in the dorm, we can set up the equation:
(30/100) * total_students = 27
Solving for the total number of students:
(30/100) * total_students = 27
total_students = 27 * (100/30) = 90
Therefore, there are 90 students residing in the dorm.
24. Let x represent the total number of oranges in the basket. Since 20% of them are defective, 80% are in good condition:
80% of x = 76
Converting 80% to a decimal:
0.8 * x = 76
Dividing both sides by 0.8:
x = 76 / 0.8 = 95
Therefore, there are 95 oranges in the basket.
25. To find the percentage of kilograms of vegetables Hawa sold in the morning, divide the weight of vegetables sold (220 kg) by the total weight of vegetables she had in the morning (400 kg) and multiply by 100:
(220/400) * 100 = 55%
Therefore, Hawa sold 55% of kilograms of vegetables in the morning.
26. To find out how many liters of milk the milkman has left, multiply the amount of milk the cow gives each day (24 liters) by the percentage the milkman sells (75%):
75% of 24 liters = (75/100) * 24 = 18 liters
Therefore, the milkman has 18 liters of milk left.
27. Let x represent the total number of eggs. Since 540 eggs are 36% of the total, we can set up the equation:
36% of x = 540
Converting 36% to a decimal:
0.36 * x = 540
Dividing both sides by 0.36:
x = 540 / 0.36 = 1500
Therefore, there are 150
1. Find the compound interest on Birr 8000 for 2 years at 5% per annum, compounded annually.
2. Compare the simple interest and compound interest on Birr 8,000 at 10 % per annum for three years if the interest is compounded annually
3. Find the difference between the simple and the compound interest on Birr 5000 for 2 years at 6% per annum.
4. Robel obtained a loan of Birr 250,000 from the commercial bank of Ethiopia. If the rate of interest is 8% per annum compounded annually and repaid Birr 50, 000 at the end of first year. What amount will he has to pay to the bank after 2 years to discharge his debt?
5. What sum of money will amount to Birr 21296 in 3 years at 10% per annum, compounded annually?