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3 years ago

What is the simple formula for the nth term of the following arithmetic sequence?

Mathematics

1 answer:

uysha [10]3 years ago

4 0

It's +4 because each if those numbers increases by 4. Hope this helped:)

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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

PLEASE HELP ME OUT CCCCCCCCCCCCCCCCCC;

IRINA_888 [86]

Answer:

I think it's the last to they sound way more independent!!!

6 0

3 years ago

Identify the percent of change as an increase or a decrease. 50 pounds to 35 pounds

mojhsa [17]

Answer:

There is a 30% decrese.

Step-by-step explanation:

6 0

3 years ago

A construction company completes two projects. The first project has $3,000 in labor expenses for 60 hours worked, while the sec

d1i1m1o1n [39]

Answer: 2,100 = 0.02(42) + b

2,100 = 50(42) + b

Step-by-step explanation: good day man

3 0

2 years ago

Lines EC and HF are parallel CDG is congruent to dgh what is the measure of CDG

Verizon [17]

Angle ADC and EDG are congruent(vertical angles)
Same side interior angles are =180
2x+4x-30=180
6x-30=180
6x=210
x=35
CDG is congruent to DGH(alternate interior)
4x-30
4(35)-30
140-30
=110

5 0

3 years ago