Determine whether the statement is true/ false
1. Traveling 10 miles in 2 hours is same as traveling 4 miles in one hour
2. If two triangles are similar, the length of their sides are the same
3. x/12 = 4/24. Then x=2
Multiple Choice. Choose the best answer for each question
4. If 4 grapefruits sell for 79 cents, how much will 6 grapefruits cost?
A. $1.18 B. $1.19 C. $0.30
5. Jim found out that after working for 9 months he had earned 6 days of vacation time. How many days will he have earned after working for two years?
A. 36 days B. 1 and 1/3 days c. 16 days
Essay.
6. Jeannie takes inventory of her closet and discovers that she has 8 shirts for every 5 pair of jeans. If she has 40 shirts, how many pairs of jeans does she have?
7. David read 40 pages of a book in 50 minutes. How many pages should he be able to read in 80 minutes?
8. (2+c)/9 = 18/27
9. Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students?
10. 3.5 / x = 14/20
What do you think?
I don't see your choice of answer for any of them.
To determine whether a statement is true or false, you need to evaluate the information given and check if it is accurate. Let's go through each statement:
1. Traveling 10 miles in 2 hours is same as traveling 4 miles in one hour.
To test this statement, you can calculate the speed in both situations. The formula for speed is distance divided by time.
For the first situation: 10 miles divided by 2 hours equals 5 miles per hour.
For the second situation: 4 miles divided by 1 hour also equals 4 miles per hour.
Since the speeds are different, the statement is false.
2. If two triangles are similar, the length of their sides are the same.
This statement is false. When triangles are similar, their corresponding angles are the same, but the lengths of their sides are proportional. They may have the same ratios, but not the same lengths.
3. x/12 = 4/24. Then x=2.
To solve this equation, you can cross-multiply.
Cross-multiplying gives you: 24x = 12 * 4.
Simplifying further, 24x = 48, then divide both sides by 24 to solve for x.
x = 2.
Therefore, the statement is true.
Now, let's move on to multiple-choice questions:
4. If 4 grapefruits sell for 79 cents, how much will 6 grapefruits cost?
To find the cost of 6 grapefruits, you can set up a proportion:
4 grapefruits / $0.79 = 6 grapefruits / x.
Cross-multiply and solve for x:
4 * x = 6 * $0.79.
x = (6 * $0.79) / 4.
x ≈ $1.19.
So, the answer is B. $1.19.
5. Jim found out that after working for 9 months, he had earned 6 days of vacation time. How many days will he have earned after working for two years?
To calculate the number of days earned per month, divide 6 days by 9 months:
6 days / 9 months = 2/3 days per month.
To find the total number of days earned after two years (24 months), multiply the days per month by the number of months:
(2/3 days per month) * 24 months = 16 days.
So, the answer is C. 16 days.
Moving on to the essay questions:
6. Jeannie takes inventory of her closet and discovers that she has 8 shirts for every 5 pairs of jeans. If she has 40 shirts, how many pairs of jeans does she have?
To solve this problem, you can set up a proportion:
8 shirts / 5 pairs of jeans = 40 shirts / x pairs of jeans.
Cross-multiply and solve for x:
8x = 5 * 40.
x = (5 * 40) / 8.
x = 25 pairs of jeans.
So, Jeannie has 25 pairs of jeans.
7. David read 40 pages of a book in 50 minutes. How many pages should he be able to read in 80 minutes?
To find the number of pages David can read in 80 minutes, you can set up a proportion:
40 pages / 50 minutes = x pages / 80 minutes.
Cross-multiply and solve for x:
40 * 80 = 50 * x.
x = (40 * 80) / 50.
x = 64 pages.
David should be able to read 64 pages in 80 minutes.
8. (2+c)/9 = 18/27
To solve this equation, you can cross-multiply:
27 * (2+c) = 9 * 18.
Simplify further:
54 + 27c = 162.
Subtract 54 from both sides:
27c = 108.
Divide both sides by 27 to solve for c:
c = 4.
So, c = 4.
9. Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th-grade class of 20 students. How many chicken fingers would be needed for 30 students?
To calculate the number of chicken fingers needed for 30 students, you can set up a proportion:
48 chicken fingers / 20 students = x chicken fingers / 30 students.
Cross-multiply and solve for x:
48 * 30 = 20 * x.
x = (48 * 30) / 20.
x = 72.
So, 72 chicken fingers would be needed for 30 students.
10. 3.5 / x = 14/20
To solve this equation, you can cross-multiply:
20 * 3.5 = 14 * x.
Simplify further:
70 = 14x.
Divide both sides by 14 to solve for x:
x = 5.
So, x = 5.
I hope this helps in answering the questions and provides you with an understanding of how to approach them.