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3 years ago

How to solve by elimination

Mathematics

1 answer:

natka813 [3]3 years ago

5 0

How to solve with elimination: with the equations on the top, add the number on top and bottom if they share a variable such as x. do the rest for all of the numbers.

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The measure of a circumscribed angle is equal to 180° minus the measure of the __________

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2 years ago

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A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .

Eduardwww [97]

Answer: $\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}$

Step-by-step explanation:

a₁, 375, a₃, a₄, 81

First, let's find the ratio (r). There are three multiple from 375 to 81.

$375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}$

Next, let's find a₁

$a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625$

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

$S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}$

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2 years ago

Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each grou

Igoryamba

Answer:

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is $x$

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be: $(4*x)= 4x$

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

$4x=852\\ \\ x=\frac{852}{4}=213$

So, there will be 213 songs in each group.

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3 years ago

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2 years ago

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You are on the 2nd floor, go down 3 floors, and back up 7 floors. On what floor are you on now? *

MariettaO [177]

Answer:

you're on the 6th floor

Step-by-step explanation:

if you started on the 2nd floor and went down by 3 you subtract 3 from 2 which gives you -1, and then you go up 7 floors so you add -1+7 which gives you 6.

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2 years ago