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Ganezh [65]
3 years ago
12

Seth mowed 3/8 of his yard before lunch. He mowed 4/10 of his yard after lunch.

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0
I think the answer is C hope this helped

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160
Marina CMI [18]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}

\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n
3 0
3 years ago
Two side lengths of a triangle are 17 meters and 12 meter long. What is the range of possible lengths for the third side?
serious [3.7K]
Use a^2+b^2=c^2.
so u might have two answer one if u plug 17 and 12 as your a and b and solve for c
second is when you plug 12 as a and 17 as 17 qnd solve for b.
hope this helped
5 0
3 years ago
What is the sum of adding two opposites together? *
BartSMP [9]

Answer:

I'm guessing the opposites are negative and positive so whenever you add two opposite numbers it will always be 0. The answer will always be 0.

For example:

-3 + 3 = 0

4 - 4 = 0

-15 + 15

5 0
3 years ago
Calculate m∠ABC and m∠CBD, what is the value of x?<br><br> Enter your answer in the box.
QveST [7]
X is twenty

2x+6x+20=180
8x=160
X=20
8 0
2 years ago
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The middle school basketball team is selling t-shirts for $12.50 each to raise money for new uniforms. They have already sold 40
adoni [48]

Answer: 28

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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