Bailee explained that when traveling to the moon, he needs to pack light because the weight of objects on the moon is the same as their weight on Earth. The mass of the objects is what changes when the gravitational pull changes. Is Bailee correct in his explanation?(1 point)

Responses

Bailee is incorrect. The mass of the objects stay the same but weight will change.
Bailee is incorrect. The mass of the objects stay the same but weight will change.

Bailee is incorrect. Both the mass and weight will change.
Bailee is incorrect. Both the mass and weight will change.

Bailee is correct. The weight of the objects stay the same but mass will change.
Bailee is correct. The weight of the objects stay the same but mass will change.

Bailee is incorrect. Both the mass and weight will stay the same.

Bailee is incorrect. The mass of the objects stay the same but weight will change.

Two children on a seesaw are able to balance perfectly while on Earth. Would they still be balanced if the seesaw was brought to the moon?(1 point)

Responses

Yes, they would still be balanced because their weights would not change.
Yes, they would still be balanced because their weights would not change.

Yes, they would still be balanced because their masses would not change.
Yes, they would still be balanced because their masses would not change.

No, they would not be balanced because their masses would change.
No, they would not be balanced because their masses would change.

No, they would not be balanced because their weights would change.

No, they would not be balanced because their weights would change.

How are the weight and the mass of an object related?(1 point)

Responses

Weight is the sum of the mass and the acceleration due to gravity.
Weight is the sum of the mass and the acceleration due to gravity.

Mass is the sum of the weight and the acceleration due to gravity.
Mass is the sum of the weight and the acceleration due to gravity.

Mass is the product of the weight and the acceleration due to gravity.
Mass is the product of the weight and the acceleration due to gravity.

Weight is the product of the mass and the acceleration due to gravity.

Weight is the product of the mass and the acceleration due to gravity.

You are unable to lift an object. Which property makes the object difficult to lift?(1 point)

Responses

density
density

weight
weight

mass
mass

volume

weight

Which term describes the comparison of two things that are not alike in an obvious way?(1 point)

Responses

figurative
figurative

descriptive
descriptive

analogy
analogy

similarity

analogy

Use the analogy to answer the question.

Watching from my room, I saw that my little brother was a ball of energy after his nap.

Which two things are being compared?

(1 point)
Responses

brother and nap
brother and nap

room and brother
room and brother

room and ball of energy
room and ball of energy

brother and ball of energy

brother and ball of energy

Which strategy could be used to determine the meaning of an analogy? (1 point)

Responses

Rewrite the analogy in literal terms.
Rewrite the analogy in literal terms.

Find language that is literal.
Find language that is literal.

Determine whether another comparison could be added.
Determine whether another comparison could be added.

Analyze the connection between what is being compared.

Analyze the connection between what is being compared.

How many digits are in the repeating cycle of 17/27?

The repeating cycle of the decimal representation of 17/27 is 3 digits long.

Which of the following rational numbers can be expressed as a repeating decimal: 7/8, 5/12, 17/25, or 31/40?

Out of the given rational numbers, the number 5/12 can be expressed as a repeating decimal.

Express 7/13 as a repeating decimal. Mark the repeating digits with a bar.

To express 7/13 as a repeating decimal, I will perform long division:

0.538461538461...
__________________
13 | 7.000000000000...
65
-----
50
39
-----
110
104
-----
60
52
-----
80
78
-----
20
13
-----
70

The quotient 0.538461538461... can be represented as 0.538 with the digits 461 repeating, so the fraction 7/13 can be expressed as 0.538461538461... with the repeating digits marked with a bar as 0.538 ¯¯¯¯.

Convert 0.8¯¯¯ to a rational number.

To convert the recurring decimal 0.8¯¯¯ to a rational number, we can denote it as follows:

Let x = 0.8¯¯¯

Multiplying both sides of the equation by 10, we get:

10x = 8.8¯¯¯

Next, subtracting the equation x = 0.8¯¯¯ from 10x = 8.8¯¯¯, we have:

10x - x = 8.8¯¯¯ - 0.8¯¯¯

Simplifying the left side and right side of the equation, we have:

9x = 8

Lastly, dividing both sides of the equation by 9, we find:

x = 8/9

Thus, 0.8¯¯¯ can be expressed as the rational number 8/9.

To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?

To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by 1000 (or 10^3).

please recheck the last answer

Apologies for the error in the previous response. To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by 100 (or 10^2).

How do you show the group of digits that repeat in a repeating decimal?(1 point)

Responses

by putting a bar over them
by putting a bar over them

by putting them in parentheses
by putting them in parentheses

by underlining them
by underlining them

by printing them in italics

By putting a bar over them.

How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(1 point)

Responses

any finite length
any finite length

infinitely long
infinitely long

up to seven digits long
up to seven digits long

up to six digits long
up to six digits long

The repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.

Convert 0.27¯¯¯¯¯

to a rational number in simplest form.

To convert the recurring decimal 0.27¯¯¯¯¯ to a rational number, we can denote it as follows:

Let x = 0.27¯¯¯¯¯

Multiplying both sides of the equation by 100, we get:

100x = 27.¯¯¯¯¯

Next, subtracting the equation x = 0.27¯¯¯¯¯ from 100x = 27.¯¯¯¯¯, we have:

100x - x = 27.¯¯¯¯¯ - 0.27¯¯¯¯¯

Simplifying the left side and right side of the equation, we have:

99x = 27

Lastly, dividing both sides of the equation by 99, we find:

x = 27/99

This fraction can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9:

x = (27 ÷ 9) / (99 ÷ 9)
x = 3/11

Thus, 0.27¯¯¯¯¯ can be expressed as the rational number 3/11 in simplest form.

To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by what number?

after answer the question please make sure to double check you are correct

To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by 1000 (or 10^3).

Apologies for the previous incorrect response. The correct multiplication factor should be 1000, not 100.

To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by what number?

To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by 100 (or 10^2).