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
Yup thats what I thought
4c2 – 1.5d
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
4 - 3x
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
negative five-fourths
I'm pretty sure you did that one wrong, can you explain your steps to finding that answer?
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.
Apologies for the confusion earlier. Thank you for bringing it to my attention. If you have any further questions, feel free to ask.
What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m?
(1 point)