To expand the expression −5/8(3p+8), you would distribute the factor −5/8 to both terms inside the parentheses (3p and 8). Here's how you do it:
−5/8 * 3p + (−5/8) * 8
Now multiply each term:
= (−5/8 * 3)p + (−5/8 * 8)
= (−15/8)p + (−40/8)
Now simplify if possible:
= (−15/8)p + (−5)
So, the expanded form of −5/8(3p+8) is:
−15/8p − 5
Expand −5/8(3p+8) .(1 point)
15 answers
Expand 5(y + 2) using the distributive property.(1 point) Responses 6y + 7 6 y plus 7 5y + 10 5 y plus 10 6y + 10 6 y plus 10 5y + 2
To expand the expression 5(y + 2) using the distributive property, distribute the factor 5 to both terms inside the parentheses (y and 2). Here's how you do it:
5 * y + 5 * 2
Now, perform the multiplications:
= 5y + 10
Therefore, the expanded form of 5(y + 2) is:
5y + 10
5 * y + 5 * 2
Now, perform the multiplications:
= 5y + 10
Therefore, the expanded form of 5(y + 2) is:
5y + 10
Expand −5(−3 − 11g) .(1 point)
Responses
−55g − 15
negative 55 g minus 15
−55g + 15
negative 55 g plus 15
55g − 15
55 g minus 15
55g + 15
Responses
−55g − 15
negative 55 g minus 15
−55g + 15
negative 55 g plus 15
55g − 15
55 g minus 15
55g + 15
To expand the expression −5(−3 − 11g) using the distributive property, distribute the factor −5 to both terms inside the parentheses (−3 and −11g). Here's how you do it:
−5 * (−3) + (−5) * (−11g)
Now, perform the multiplications, keeping in mind that multiplying two negatives yields a positive:
= 15 + 55g
Therefore, the expanded form of −5(−3 − 11g) is:
55g + 15
−5 * (−3) + (−5) * (−11g)
Now, perform the multiplications, keeping in mind that multiplying two negatives yields a positive:
= 15 + 55g
Therefore, the expanded form of −5(−3 − 11g) is:
55g + 15
did you mean 55g - 15.
My apologies for any confusion. Let's go through the expansion step-by-step to clarify:
Given the expression −5(−3 − 11g), you want to distribute the −5 to both terms inside the parentheses.
−5 * (−3) gives you a positive product because a negative times a negative is a positive:
−5 * (−3) = 15
Then, distribute the −5 to the term −11g, which also gives you a positive product:
−5 * (−11g) = 55g
Putting both parts together, you get:
55g + 15
So the correct expanded form of −5(−3 − 11g) is indeed:
55g + 15
There was no mistake in the initial response. The expanded expression is 55g + 15.
Given the expression −5(−3 − 11g), you want to distribute the −5 to both terms inside the parentheses.
−5 * (−3) gives you a positive product because a negative times a negative is a positive:
−5 * (−3) = 15
Then, distribute the −5 to the term −11g, which also gives you a positive product:
−5 * (−11g) = 55g
Putting both parts together, you get:
55g + 15
So the correct expanded form of −5(−3 − 11g) is indeed:
55g + 15
There was no mistake in the initial response. The expanded expression is 55g + 15.
11 isn't a -
I apologize for any misunderstanding. If the term is not negative, then the expression should be distributed as follows:
The expression is:
−5(−3 − 11g)
Distribute the −5 to both terms within the parentheses:
−5 * (−3) gives us a positive product because a negative times a negative is positive:
−5 * (−3) = 15
And then distribute the −5 to −11g, which is indeed a negative term (the negative is in front of the 11g within the parentheses), so the product is positive again:
−5 * (−11g) = 55g
So the correct expansion, again, becomes:
55g + 15
Nothing changes in this case because the 11g was already correctly treated as a negative term in the original expression. The final expanded form is still 55g + 15. If there's a different interpretation or additional context for the expression, please provide it so that I can assist you correctly.
The expression is:
−5(−3 − 11g)
Distribute the −5 to both terms within the parentheses:
−5 * (−3) gives us a positive product because a negative times a negative is positive:
−5 * (−3) = 15
And then distribute the −5 to −11g, which is indeed a negative term (the negative is in front of the 11g within the parentheses), so the product is positive again:
−5 * (−11g) = 55g
So the correct expansion, again, becomes:
55g + 15
Nothing changes in this case because the 11g was already correctly treated as a negative term in the original expression. The final expanded form is still 55g + 15. If there's a different interpretation or additional context for the expression, please provide it so that I can assist you correctly.
Expand 25(−5c+10).(1 point)
Responses
−2c+4
negative 2c plus 4
−2c+10
negative 2c plus 10
2c−10
2c minus 10
2c−4
Responses
−2c+4
negative 2c plus 4
−2c+10
negative 2c plus 10
2c−10
2c minus 10
2c−4
To expand the expression 25(−5c+10), you would distribute the factor 25 to both terms inside the parentheses (−5c and 10). Here's how you do it:
25 * (−5c) + 25 * 10
Now, perform the multiplications:
= −125c + 250
So, the expanded form of 25(−5c+10) is:
−125c + 250
It seems there's been some confusion, as none of the provided response choices match the correct expansion. Could you double-check that the expressions provided are accurate for the given problem? If there's a modification needed or if there's additional context, please let me know!
25 * (−5c) + 25 * 10
Now, perform the multiplications:
= −125c + 250
So, the expanded form of 25(−5c+10) is:
−125c + 250
It seems there's been some confusion, as none of the provided response choices match the correct expansion. Could you double-check that the expressions provided are accurate for the given problem? If there's a modification needed or if there's additional context, please let me know!
Expand 2/5(−5c+10).(1 point)
Responses
−2c+4
negative 2c plus 4
−2c+10
negative 2c plus 10
2c−10
2c minus 10
2c−4
Responses
−2c+4
negative 2c plus 4
−2c+10
negative 2c plus 10
2c−10
2c minus 10
2c−4
To expand the expression 2/5(−5c+10), you would distribute the factor 2/5 to both terms inside the parentheses (−5c and 10). Here's how you do it:
(2/5) * (−5c) + (2/5) * 10
Now perform the multiplications:
= −(2/5) * 5c + (2/5) * 10
= −(2 * 5/5)c + (2 * 10/5)
= −2c + 4
So, the expanded form of the expression 2/5(−5c+10) is:
−2c + 4
The correct response from the options given is:
−2c + 4
(negative 2c plus 4)
(2/5) * (−5c) + (2/5) * 10
Now perform the multiplications:
= −(2/5) * 5c + (2/5) * 10
= −(2 * 5/5)c + (2 * 10/5)
= −2c + 4
So, the expanded form of the expression 2/5(−5c+10) is:
−2c + 4
The correct response from the options given is:
−2c + 4
(negative 2c plus 4)
Expand −7/6(3g+2) .(1 point) Responses 72g+2 Start Fraction 7 over 2 End Fraction g plus 2 −72g−73 negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction −72g+2 negative Start Fraction 7 over 2 End Fraction g plus 2
To expand the expression −7/6(3g+2), you would distribute the factor −7/6 to both terms inside the parentheses (3g and 2). Here's how you do it:
−7/6 * 3g + (−7/6) * 2
Now multiply each term:
= (−7/6 * 3)g + (−7/6 * 2)
= (−21/6)g + (−14/6)
Now simplify if possible:
= (−7/2)g − (7/3) [Since −21/6 is simplified to −7/2 (dividing both numerator and denominator by 3) and −14/6 simplifies to −7/3 (dividing both by 2)]
So the expanded form of −7/6(3g+2) is:
−7/2g − 7/3
The correct response from the options given (once simplified with the correct interpretation) is:
−7/2g − 7/3
(negative 7 over 2 g minus 7 over 3)
−7/6 * 3g + (−7/6) * 2
Now multiply each term:
= (−7/6 * 3)g + (−7/6 * 2)
= (−21/6)g + (−14/6)
Now simplify if possible:
= (−7/2)g − (7/3) [Since −21/6 is simplified to −7/2 (dividing both numerator and denominator by 3) and −14/6 simplifies to −7/3 (dividing both by 2)]
So the expanded form of −7/6(3g+2) is:
−7/2g − 7/3
The correct response from the options given (once simplified with the correct interpretation) is:
−7/2g − 7/3
(negative 7 over 2 g minus 7 over 3)