What is the sum of 5/6 + 2/3? My answer is 1 1/2.
Cody has 6 1/2 boxes of candy to share at a picnic. If he gives each person 1/3 of a box, how many people can receive candy? My answer is 19.
Which of these are not rational? a.3 squared. b.1/5 c.9 squared d.0.25 My answer is 3 squared.
Which expression is equivalent to 4x4x4x4x4x4x4x4? My answer is 4 to the 8th power.
Callie has 2/3 of a pound of loose tea leaves. if she wants to keep one half of the tea at home and the other half at works, what fraction of a pound will she have at work. My answer is 1/6.
What is 7 - 5/7? My answer is 2/7.
Which expression is equivalent to (-7) to the 5th power? My answer is -7x-7x-7x-7x-7.
Are these the right answers?
I will number your problems
1. ok
2. you need 6.5 ÷ 1/3 = 19.5
I would have expected a whole number, since it deals with people.
So 19 would receive a full 1/3 of a box, and the 20th person would get less than 1/3 of a box
3.
3^2 = 9 , which is rational
1/5 is rational
9^2 = 81 which is rational
.25 = 25/100 which is rational
all are rational
4. good
5. so at work she has (1/2)(2/3) = 1/3
6. good
7. ok, but I would write it as (-7)(-7)(-7)(-7)(-7)
5/6+ 2/3 you need to get the bottom number to the same number so x2 to the 3 making it 5/6 + 2/6 but I need to do what you did to the bottom to the tom so 2 x2= 4 so now we have 5/6 + 4/6 we add the top numbers 5+4= 9 9-6= 3 so sense 9 goes into 6 one time we have 1 9-6=3 so the answer is 1 1/2
Let's go through each question one by one to verify the answers.
1. The sum of 5/6 + 2/3 is indeed 1 1/2.
2. If Cody has 6 1/2 boxes of candy and gives each person 1/3 of a box, we need to divide the total number of boxes by 1/3.
6 1/2 ÷ 1/3 = 19.5 ÷ 1/3 = 19.5 x 3 = 58.5
Since we can't have half a person, the correct answer is 58 people.
3. The expression 3 squared is rational since it equals 9. The correct answer is either b. 1/5 or d. 0.25, as both are rational numbers. Your answer of 3 squared is incorrect.
4. To find the expression equivalent to 4x4x4x4x4x4x4x4, we need to determine 4 raised to the power of 8.
4^8 = 65536
So, the correct answer is 65536.
5. If Callie has 2/3 of a pound of tea leaves and wants to keep one-half at home and the other half at work, we need to find half of 2/3.
2/3 ÷ 2 = 1/3
Therefore, Callie will have 1/3 of a pound of tea leaves at work. Your answer of 1/6 is incorrect.
6. The subtraction 7 - 5/7 is correct. The answer is indeed 2/7.
7. The expression (-7) to the 5th power can be calculated as follows:
(-7)^5 = -7 x -7 x -7 x -7 x -7 = -16807
Your answer is correct.
In summary, you got 3 out of 7 answers correct. Please note the corrections for questions 3, 5, and 7.
Let's go through each question and determine if your answers are correct:
1. What is the sum of 5/6 + 2/3? The correct way to add fractions is to find a common denominator. In this case, the common denominator is 6. Adding the fractions gives us (5/6) + (4/6) = 9/6, which simplifies to 3/2 or 1 1/2. Your answer is correct.
2. Cody has 6 1/2 boxes of candy to share at a picnic. If he gives each person 1/3 of a box, we need to divide 6 1/2 by 1/3. To divide fractions, we invert the second fraction and multiply. (6 1/2) / (1/3) = (13/2) / (1/3) = (13/2) * (3/1) = 39/2. So, Cody can give candy to 39/2 or 19.5 people. Since we can't have half a person, we round down to 19. Your answer of 19 is correct.
3. Which of these are not rational? To determine if a number is rational, we need to check if it can be expressed as a fraction.
a. 3 squared = 3^2 = 9, which can be expressed as 9/1, so it is rational.
b. 1/5 is already a fraction, so it is rational.
c. 9 squared = 9^2 = 81, which can be expressed as 81/1, so it is rational.
d. 0.25 can be expressed as 1/4, so it is rational.
Your answer of "3 squared" is incorrect. The correct answer is none of them, as all the options given are rational.
4. Which expression is equivalent to 4x4x4x4x4x4x4x4? The expression can be simplified by multiplying 4 by itself 8 times, which is 4^8. Your answer of 4 to the 8th power is correct.
5. Callie has 2/3 of a pound of loose tea leaves. If she wants to keep one half of the tea at home and the other half at work, we need to find half of 2/3. To find half of a fraction, we divide it by 2. (2/3) / 2 = 2/3 * 1/2 = 2/6. This simplifies to 1/3. Therefore, Callie will have 1/3 of a pound of tea leaves at work. Your answer of 1/6 is incorrect.
6. What is 7 - 5/7? To subtract fractions, we need a common denominator. In this case, the common denominator is 7. Subtracting the fractions gives us (49/7) - (5/7) = 44/7. So, the answer is 44/7, which can be simplified to 6 2/7. Your answer of 2/7 is incorrect.
7. Which expression is equivalent to (-7) to the 5th power? To raise a negative number to an odd power, we keep the negative sign and calculate the positive result. Therefore, (-7)^5 = -7 * -7 * -7 * -7 * -7 = -16807. Your answer of -7 * -7 * -7 * -7 * -7 is correct.
Out of the given answers, you got 4 out of 7 correct.