Asked by DONKEY KITTENNNNNNNNNNNNNNNNNNN

What is the simplified form of the following expression?

6c2 + 2.5d – d + 2c2 – 3d
(1 point)
Responses

4c2 – 1.5d
4 c 2 – 1.5 d

6c2 + 0.5d
6 c 2 + 0.5 d

8c2 – 1.5d
8 c 2 – 1.5 d

8c2 + 1.5d
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
Simplify the following expression.

one-fourth(16 – 12x)
(1 point)
Responses

4 + 3x
4 + 3 x

4 – 3x
4 – 3 x

4 + 3
4 + 3

4 – 3
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
What is the sum?

seven-thirds plus negative three-eighths
(1 point)
Responses

sixty-five-twenty-fourths
Image with alt text: sixty-five-twenty-fourths

forty-seven-twenty-fourths
Image with alt text: forty-seven-twenty-fourths

negative four-fifths
Image with alt text: negative four-fifths

negative five-fourths
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
I'm pretty sure you did that one wrong, can you explain your steps to finding that answer?
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
Yup thats what I thought
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m?
(1 point)
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
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
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
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 DONKEY KITTENNNNNNNNNNNNNNNNNNN
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 DONKEY KITTENNNNNNNNNNNNNNNNNNN
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
–5.22
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
What 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 DONKEY KITTENNNNNNNNNNNNNNNNNNN
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 DONKEY KITTENNNNNNNNNNNNNNNNNNN
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 DONKEY KITTENNNNNNNNNNNNNNNNNNN
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 DONKEY KITTENNNNNNNNNNNNNNNNNNN
Oh no I'm so sorry I made a mistake in my typing! I meant to say: 12[6^2÷ (5^2 - 4^2)+7]
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
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
5 y
Answered by DONKEY KITTENNNNNNNNNNNNNNNNNNN
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 GPT 3.5
4c2 – 1.5d
Answered by GPT 3.5
4 - 3x
Answered by GPT 3.5
negative five-fourths
Answered by GPT 3.5
Apologies for the incorrect response. Let's go through the steps to find the correct answer.

To add fractions, we need to have a common denominator. In this case, the common denominator is 24.

The sum of seven-thirds and negative three-eighths is:

(7/3) + (-3/8)

To find a common denominator of 24, we need to multiply the numerator and denominator of the first fraction by 8, and the numerator and denominator of the second fraction by 3:

(7/3) * (8/8) + (-3/8) * (3/3)

This becomes:

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

Now that we have a common denominator, we can simply add the numerators:

56 + (-9) = 47

Therefore, the correct sum is forty-seven-twenty-fourths.
Answered by GPT 3.5
Apologies for the confusion earlier. Thank you for bringing it to my attention. If you have any further questions, feel free to ask.
Answered by GPT 3.5
To express the given word phrase as an algebraic expression, we can use the division symbol to represent "the quotient of" and the addition symbol to represent "the sum of."

The word phrase "the quotient of 8 and the sum of 3 and m" can be represented algebraically as:

8 / (3 + m)
Answered by GPT 3.5
To find the difference between two fractions, we need to have a common denominator. In this case, the common denominator is 28.

The difference between nine-fourths and one-seventh is:

(9/4) - (1/7)

To find a common denominator of 28, we need to multiply the numerator and denominator of the first fraction by 7, and the numerator and denominator of the second fraction by 4:

(9/4) * (7/7) - (1/7) * (4/4)

This becomes:

(63/28) - (4/28)

Now that we have a common denominator, we can simply subtract the numerators:

63 - 4 = 59

Therefore, the correct difference is fifty-nine-twenty-eighths.
Answered by GPT 3.5
The property illustrated by the following statement is the Associative Property of Multiplication. The property states that the grouping of factors in a multiplication expression does not affect the final result. In this case, we can see that the factors (3z), x, and y are grouped differently, but the final result remains the same.
Answered by GPT 3.5
To evaluate the expression a/z + bw^2 for a = 21, b = 3, w = 6, and z = 7, we can substitute these values into the expression and simplify:

a/z + bw^2 = 21/7 + 3(6)^2

= 21/7 + 3(36)

= 21/7 + 108

= 3 + 108

= 111

Therefore, the expression evaluates to 111.
Answered by GPT 3.5
The product of 4.3 and -2.9 is:

4.3 * (-2.9) = -12.47

Therefore, the correct response is -12.47.
Answered by GPT 3.5
The simplified form of "three-fifths cubed" can be found by cubing the fraction three-fifths.

To cube a fraction, we raise both the numerator and denominator to the power of 3.

(3/5)^3 = (3^3) / (5^3) = 27 / 125

Therefore, the simplified form of 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, where r is the rate, d is the distance, and t is the time.

Plugging in the given values:

r = 212.5 miles / 2.5 hours

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
To simplify the expression 12[62 ÷ (52 – 42) + 7], we need to follow the order of operations, which is parentheses -> multiplication/division -> addition/subtraction.

First, let's simplify the expression within the parentheses:
52 - 42 = 10

Now, we can divide 62 by the result of the subtraction:
62 ÷ 10 = 6.2

Next, we add 7 to the result of the division:
6.2 + 7 = 13.2

Finally, we multiply the entire expression by 12:
12 * 13.2 = 158.4

Therefore, the simplified form of the expression is 158.4.
Answered by GPT 3.5
No problem! Let's simplify the corrected expression:

First, let's simplify the expression within the parentheses:
5^2 - 4^2 = 25 - 16 = 9

Now, we can divide 6^2 by the result of the subtraction:
6^2 ÷ 9 = 36 ÷ 9 = 4

Next, we add 7 to the result of the division:
4 + 7 = 11

Finally, we multiply the entire expression 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 10 y z over negative 2 z EndFraction,

can be found by cancelling out the common factor of z in the numerator and denominator:

StartFraction 10y cancel(z) over negative 2 cancel(z) EndFraction

This simplifies to:

StartFraction 10y over negative 2 EndFraction

which further simplifies to:

-5y

Therefore, the correct simplified form is negative 5y.
Answered by GPT 3.5
To find the value of xy over w with x = -3, y = 4, and w = -6, we substitute these values into the expression:

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

= -12 / -6

When dividing two negative numbers, the result is positive:

-12 / -6 = 2

Therefore, the value of xy over w is 2.