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2 years ago

6

6=1-2n+5 how do I solve this?

2 answers:

Len [333]2 years ago

6 0

6 = 1-2n + 5
1-2n+5 = 6
-2n = 6 -1 -5
-2n =0
n = 0/-2

Ivanshal [37]2 years ago

5 0

$6=1-2n+5\\ \\2n=1+5-6\\ \\ 2n=0\ \ /:2\\ \\ n=0$

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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

kari74 [83]

10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------$

$\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714$

6 0

2 years ago

Read 2 more answers

I rent a gym for $150 for 30 students another time I rent the gym for $270 for 70 students I need to find a fixed rate

kirza4 [7]

Answer:

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

$30x+b=150 \ \ \ \ equation \ 1$

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

$70x+b=270 \ \ \ \ equation \ 2$

Now we will subtract equation 1 from equation 2 we get;

$70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120$

Dividing both side by 40 we get;

$\frac{40x}{40}=\frac{120}{40}\\\\x=\$3$

Now we will substitute the value of x in equation 1 we get;

$30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60$

So we can say that the equation can be written as;

$y =3x+60$

Hence we can say that fixed rate is $60 and per student charge is $3.

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3 years ago

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if each border paving stone costs $4.75, how much will the stones on the border of the patio cost if there are 324 paving stones

8_murik_8 [283]

Answer:

If there are 324 paving stones, it will cost $1539

Step-by-step explanation:

324 x 4.75 = 1539

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2 years ago

What is the volume of the square pyramid shown below?

NemiM [27]

Answer: C) $147cm^{3}$

Step-by-step explanation:

First we need to calculate the area of the square base.

This is 7*7 which equals 49 cm squared.

Plug this value into the formula of a square pyramid which will be $V = 49 * \frac{h}{3}$ , now plug in the h, which is 9 cm.

$V = 49 * \frac{9}{3}$

Now solve.

V = 147 cubic cm.

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3 years ago

How many solutions does the equation 3x-10(x+2)=13-7x

Alex Ar [27]

Answer:

No solution

Step-by-step explanation:

1. Multiply the parenthesis by -10

2. Collect like terms

3. Cancel equal terms

4. You're left with -20=13, which is false. There is no solution.

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3 years ago