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kumpel [21]
3 years ago
8

Are these expressions equivalent 3(5b-2) and 8b-5

Mathematics
2 answers:
Ad libitum [116K]3 years ago
8 0

Answer:

No they are not!

Step-by-step explanation:

Solve for b:

3 (5 b - 2) = 0

Divide both sides of 3 (5 b - 2) = 0 by 3:

(3 (5 b - 2))/3 = 0/3

3/3 = 1:

5 b - 2 = 0/3

0/3 = 0:

5 b - 2 = 0

Add 2 to both sides:

5 b + (2 - 2) = 2

2 - 2 = 0:

5 b = 2

Divide both sides of 5 b = 2 by 5:

(5 b)/5 = 2/5

5/5 = 1:

Answer:  b = 2/5

____________________________________________

Solve for b:

8 b - 5 = 0

Add 5 to both sides:

8 b + (5 - 5) = 5

5 - 5 = 0:

8 b = 5

Divide both sides of 8 b = 5 by 8:

(8 b)/8 = 5/8

8/8 = 1:

Answer:  b = 5/8

Pavel [41]3 years ago
4 0
No, if you multiply the factors in 3(5b-2) the equivalent expression would be 15b-6
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2 years ago
Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
6 0
3 years ago
Using a property of operations, what can you say about the sums of (-13.2) + 8.1 and 13.2 + (-8.1)
Wewaii [24]
They are opposites of each other.
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13.2 - 8.1 = 5.1
4 0
3 years ago
Plzzz help I am stuck
ser-zykov [4K]

Answer:

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6 0
3 years ago
I need to know how to round to the nearest hundredth in the number 1.120
user100 [1]
The answer would be 1.12
7 0
3 years ago
Read 2 more answers
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