Question

1/4(16 – 12x)
Answered by JONN
7/3+(-3/8)
Answered by JONN
Which property is illustrated by the following statement?

2x(6) = (6)2x
(1 point)
Responses

Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Answered by JONN
Which property is illustrated by the following statement?

5g + 7 = 7 + 5g
(1 point)
Responses

Commutative Property of Multiplication
Commutative Property of Multiplication

Inverse Property of Multiplication
Inverse Property of Multiplication

Commutative Property of Addition
Commutative Property of Addition

Associative Property of Addition
Answered by JONN
Order the following numbers from least to greatest.

square root of 11, –0.4, -4/3, 0.8, square root of 2
Answered by JONN
Which number sentence does the following number line represent?

A number line is shown from negative 6 to 6. There are dots at negative 3 and 2. Above the dots are small vertical lines. An arrow that points to the left connects these two small lines.
(1 point)
Responses

3 + 2 = 5
3 + 2 = 5

negative 3 plus 5 equals 2
Image with alt text: negative 3 plus 5 equals 2

2 plus left parenthesis negative 3 right parenthesis equals 5
Image with alt text: 2 plus left parenthesis negative 3 right parenthesis equals 5

2 plus left parenthesis negative 5 right parenthesis equals negative 3
Image with alt text: 2 plus left parenthesis negative 5 right parenthesis equals negative 3
Answered by JONN
thats wrong
Answered by JONN
there is no -1 in my answer choices
Answered by JONN
To which subset of real numbers does the following number belong?

square root of seven
(1 point)
Responses

rational numbers
rational numbers

irrational numbers
irrational numbers

whole numbers, integers, rational numbers
whole numbers, integers, rational numbers

whole numbers, natural numbers, integers
Answered by JONN
Which sum or difference is equivalent to the following expression?

Start Fraction 2 x plus 3 over 4 End Fraction
(1 point)
Responses

start fraction x over 2 end fraction + three-fourths
Image with alt text: start fraction x over 2 end fraction + Image with alt text: three-fourths

start fraction x over 2 end fraction – three-fourths
Image with alt text: start fraction x over 2 end fraction – Image with alt text: three-fourths

start fraction 3 x over 4 end fraction+ three-fourths
Image with alt text: start fraction 3 x over 4 end fraction + Image with alt text: three-fourths

8x + 24
Answered by JONN
What is the algebraic expression for the following word phrase: the sum of 4g and 6?
(1 point)
Responses

10g
10 g

4g + 6
4 g + 6

4 g minus 6
Image with alt text: 4 g minus 6

StartFraction 4 g over 6 EndFraction
Image with alt text: StartFraction 4 g over 6 EndFraction
Answered by JONN
What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m?
(1 point)
Responses

StartFraction 8 over 3 plus m EndFraction
Image with alt text: StartFraction 8 over 3 plus m EndFraction

eight-thirds plus 8 m
Image with alt text: eight-thirds plus 8 m

8 left parenthesis 3 plus m right parenthesis
Image with alt text: 8 left parenthesis 3 plus m right parenthesis

StartFraction 8 over 3 minus m EndFraction
Answered by JONN
What is the algebraic expression for the following word phrase: the quotient of x and 6y?
Answered by JONN
What is the difference?

nine-fourths minus one-seventh
(1 point)
Responses

negative three-eighths
Image with alt text: negative three-eighths

fifty-nine-twenty-eighths
Image with alt text: fifty-nine-twenty-eighths

negative eight-thirds
Image with alt text: negative eight-thirds

sixty-seven-twenty-eighths
Image with alt text: sixty-seven-twenty-eighths
Answered by JONN
What is the simplified form of the following expression?

square root of one-one hundred forty-fourth
(1 point)
Responses

one-twelfth
Image with alt text: one-twelfth

one-two hundred eighty-eighth
Image with alt text: one-two hundred eighty-eighth

12
12

two-one hundred forty-fourths
Answered by JONN
Which property is illustrated by the following statement?

(3z)xy = 3(zx)y
(1 point)
Responses

Associative Property of Multiplication
Associative Property of Multiplication

Commutative Property of Multiplication
Commutative Property of Multiplication

Inverse Property of Multiplication
Inverse Property of Multiplication

Commutative Property of Addition
Answered by JONN
Evaluate a over z + bw2 for a = 21, b = 3, w = 6, and z = 7.
(1 point)
Responses

111
111

108
108

301
301

1,771
1,771
Answered by JONN
What is the product?

4.3(–2.9)
(1 point)
Responses

12.47
12.47

–12.47
–12.47

7.74
7.74

–5.22
Answered by JONN
hat is the simplified form of the following expression?

three-fifths cubed
(1 point)
Responses

twenty-seven-one hundred twenty-fifths
Image with alt text: twenty-seven-one hundred twenty-fifths

152
152

3,375
3,375

one hundred twenty-five-twenty-sevenths
Answered by JONN
Which word phrase can you use to represent the algebraic expression 6y?
(1 point)
Responses

6 less than a number y
6 less than a number y

the sum of 6 and a number y
the sum of 6 and a number y

the product of 6 and a number y
the product of 6 and a number y

the quotient of a number y and 6
the quotient of a number y and 6
Answered by JONN
Using the formula r equals d over t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 212.5 miles in 2.5 hours?
(1 point)
Responses

71 mph
71 mph

106 mph
106 mph

150 mph
150 mph

85 mph
Answered by JONN
What is the simplified form of the following expression?

–(8n – 5v)
(1 point)
Responses

–8n + 5v
–8 n + 5 v

8n + 5v
8 n + 5 v

8n – 5v
8 n – 5 v

–8n – 5v
Answered by JONN
What is the simplified form of the following expression?

12[62 ÷ (52 – 42) + 7]
(1 point)
Responses

12.6
12.6

195
195

33.8
33.8

132
Answered by JONN
What is the simplified form of the following expression?

12[6^2 ÷ (5^2 – 4^2) + 7]
(1 point)
Responses

12.6
12.6

195
195

33.8
33.8

132
Answered by JONN
What is the simplified form of the following expression?

StartFraction 10 y z over negative 2 z EndFraction
(1 point)
Responses

negative 5 y z
Image with alt text: negative 5 y z

negative 5 y
Image with alt text: negative 5 y

negative 5 y z squared
Image with alt text: negative 5 y z squared

5y
Answered by JONN
The temperature at the end of the day was 64 degrees. The temperature had increased twice during the day, once by 8 degrees and another time by 4 degrees.

Which expression shows what the temperature was at the start of the day?
(1 point)
Responses

64 – 8 – 4
64 – 8 – 4

64 + 8 – 4
64 + 8 – 4

64 – 8 + 4
64 – 8 + 4

78 + 5 + 7
Answered by JONN
What is the value of xy over w if x = –3, y = 4 and w = –6.
(1 point)
Responses

2
2

–2
–2

one-half
Image with alt text: one-half

–one-half
Answered by JONN
Which statement about the product is true?
7.56 times 6 point ModifyingAbove 7 with bar

(1 point)
Responses

The product is irrational.
The product is irrational.

The product is rational.
The product is rational.

The product is neither rational nor irrational.
The product is neither rational nor irrational.

The nature of the product cannot be determined.
Answered by JONN
Which of the following results in a sum or a product that is rational? Choose all that apply.
(2 points)
Responses

4 + 9
4 + 9

pi times 5
Image with alt text: pi times 5

3 point ModifyingAbove 45 with bar times 1.2
Image with alt text: 3 point ModifyingAbove 45 with bar times 1.2

StartRoot 16 Endroot times StartRoot 4 EndRoot
Image with alt text: StartRoot 16 Endroot times StartRoot 4 EndRoot

StartRoot 7 EndRoot times StartRoot 2 EndRoot
Answered by JONN
where are the answers?
Answered by GPT 3.5
To simplify the expression 1/4(16 - 12x), we need to distribute the 1/4 to both terms inside the parentheses:

1/4 * 16 = 16/4 = 4
1/4 * (-12x) = -12x/4 = -3x

Therefore, 1/4(16 - 12x) simplifies to 4 - 3x.
Answered by GPT 3.5
To add 7/3 and -3/8, we need a common denominator. The least common denominator for 3 and 8 is 24.

So, we multiply the numerator and denominator of 7/3 by 8 to get a denominator of 24:

7/3 * 8/8 = 56/24

Next, we multiply the numerator and denominator of -3/8 by 3 to get a denominator of 24:

-3/8 * 3/3 = -9/24

Now, we can add the fractions:

56/24 + (-9/24) = (56 - 9)/24 = 47/24

Therefore, 7/3 + (-3/8) simplifies to 47/24.
Answered by GPT 3.5
The property that is illustrated by the statement 2x(6) = (6)2x is the Commutative Property of Multiplication.
Answered by GPT 3.5
The property that is illustrated by the statement 5g + 7 = 7 + 5g is the Commutative Property of Addition.
Answered by GPT 3.5
To order the numbers from least to greatest, we can compare them to each other:

-4/3, –0.4, square root of 2, square root of 11, 0.8

Therefore, in order from least to greatest: -4/3, –0.4, square root of 2, square root of 11, 0.8.
Answered by GPT 3.5
The number sentence that the given number line represents is: 2 + (-3) = -1.
Answered by GPT 3.5
I apologize for the incorrect response.

The correct number sentence that the given number line represents is: -3 + 2 = -1.
Answered by GPT 3.5
I apologize for the confusion. Based on the description provided, it seems that the number line represents the number sentence: 2 + (-3) = -1.
Answered by GPT 3.5
The number "square root of seven" belongs to the subset of real numbers known as irrational numbers.
Answered by GPT 3.5
The sum or difference that is equivalent to the expression Start Fraction 2x + 3 over 4 End Fraction is:

Start Fraction x over 2 End Fraction + three-fourths
Answered by GPT 3.5
The algebraic expression for the word phrase "the sum of 4g and 6" is:

4g + 6
Answered by GPT 3.5
The algebraic expression for the word phrase "the quotient of 8 and the sum of 3 and m" is:

StartFraction 8 over 3 plus m EndFraction
Answered by GPT 3.5
The algebraic expression for the word phrase "the quotient of x and 6y" is:

x / (6y) or x / 6y.
Answered by GPT 3.5
To find the difference between nine-fourths and one-seventh, we need to have a common denominator. The least common denominator for 4 and 7 is 28.

So, we multiply the numerator and denominator of nine-fourths by 7:

nine-fourths = (9*7)/4 = 63/4

Now, we can subtract one-seventh from nine-fourths:

63/4 - 1/7

To have a common denominator of 28, we multiply the numerator and denominator of 1/7 by 4:

1/7 * 4/4 = 4/28

Now, we can subtract the fractions:

63/4 - 4/28 = (63*7)/(4*7) - 4/28 = 441/28 - 4/28 = 437/28

Therefore, the difference between nine-fourths and one-seventh is 437/28.
Answered by GPT 3.5
The simplified form of the expression "square root of one-one hundred forty-fourth" is "one-twelfth".
Answered by GPT 3.5
The property that is illustrated by the statement (3z)xy = 3(zx)y is the Associative Property of Multiplication.
Answered by GPT 3.5
To evaluate a/z + bw^2 for a = 21, b = 3, w = 6, and z = 7:

a/z + bw^2

Substitute the given values:

21/7 + 3(6)^2

Evaluate 6^2 which is 36:

21/7 + 3(36)

Divide 21 by 7:

3 + 3(36)

Multiply 3 by 36:

3 + 108

Add 3 and 108:

111

Therefore, a/z + bw^2, when a = 21, b = 3, w = 6, and z = 7, equals 111.
Answered by GPT 3.5
The product of 4.3 and -2.9 is -12.47.
Answered by GPT 3.5
The simplified form of the expression "three-fifths cubed" is "twenty-seven-one hundred twenty-fifths".
Answered by GPT 3.5
The word phrase that can be used to represent the algebraic expression 6y is "the product of 6 and a number y."
Answered by GPT 3.5
To find the rate at which you must travel to cover 212.5 miles in 2.5 hours, we can use the formula r = d/t.

Substituting the given values:
r = 212.5 miles / 2.5 hours

Calculating the division:
r = 85 mph

Therefore, you must travel at a rate of 85 mph to cover 212.5 miles in 2.5 hours.
Answered by GPT 3.5
The simplified form of the expression –(8n - 5v) is –8n + 5v.
Answered by GPT 3.5
To simplify the expression 12[62 ÷ (52 – 42) + 7], we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

First, we simplify the expression inside the parentheses:

52 - 42 = 10

62 ÷ 10 = 6.2

Next, we perform the addition:

6.2 + 7 = 13.2

Finally, we multiply the result by 12:

12 * 13.2 = 158.4

Therefore, the simplified form of the expression 12[62 ÷ (52 – 42) + 7] is 158.4.
Answered by GPT 3.5
To simplify the expression 12[6^2 ÷ (5^2 - 4^2) + 7], we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

First, we simplify the exponents:

6^2 = 36
5^2 = 25
4^2 = 16

Next, we simplify the expression inside the parentheses:

25 - 16 = 9

Now, we substitute the simplified values into the original expression:

12[36 ÷ 9 + 7]

Next, we perform the division:

36 ÷ 9 = 4

Now, we perform the addition:

4 + 7 = 11

Finally, we multiply the result by 12:

12 * 11 = 132

Therefore, the simplified form of the expression 12[6^2 ÷ (5^2 - 4^2) + 7] is 132.
Answered by GPT 3.5
The simplified form of the expression StartFraction 10yz over -2z EndFraction is:

-5y
Answered by GPT 3.5
To find the temperature at the start of the day, we need to subtract the total increase in temperature from the final temperature at the end of the day.

The temperature increased twice, once by 8 degrees and another time by 4 degrees. So, the total increase is 8 + 4 = 12 degrees.

To find the temperature at the start of the day, we subtract the total increase from the final temperature:

64 - 12 = 52

Therefore, the expression that shows what the temperature was at the start of the day is 64 - 8 - 4.
Answered by GPT 3.5
To find the value of xy/w when x = -3, y = 4, and w = -6, we substitute these values into the expression:

xy/w = (-3)(4)/(-6)

Simplifying:
xy/w = -12/-6

Dividing -12 by -6:
xy/w = 2

Therefore, the value of xy/w when x = -3, y = 4, and w = -6 is 2.
Answered by GPT 3.5
The statement about the product 7.56 times 6 is that the product is rational.
Answered by GPT 3.5
The following options result in a sum or product that is rational: