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3 years ago

Is this sum rational or irrational? Explain.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

Answer:

First answer:

"<em>The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational."</em>

Step-by-step explanation:

Both 1.12 and 18/7 are rational numbers (meaning that they can be written as a quotient of integer numbers:

1.12 = 112/100

Then, since the addition of rational numbers is also a rational number, their sum is another rational number.

Then the correct answer is:

<em>The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.</em>

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Itzik 45 seconds to fill an 18 down container how long will it take to fill a 40 gallon container

Akimi4 [234]

When answering this question, I'm assuming "18 down" means 18 gallons
To find the answer, we can divide:
40/18 = 5
( This basically means that there are 5 containers in the 40 gallon container)
knowing this:
45*5 = 225
(Basically solves the time to fill 5 containers)
It will take 225 seconds

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3 years ago

Read 2 more answers

First, and correct answer gets brainliest, also worth 50 points

pishuonlain [190]

One angle be x

other is 2x-6

ATQ

$\\ \sf\longmapsto x+2x-6=90$

$\\ \sf\longmapsto 3x-6=90$

$\\ \sf\longmapsto 3x=96$

$\\ \sf\longmapsto x=32$

$\\ \sf\longmapsto 2x-6=2(32)-6=58°$

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2 years ago

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Ten times the square of a non-zero number is equal to fifty times the number. what is the number?

lys-0071 [83]

10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0

10x = 0
x = 0 <== this one is eliminated because x cannot be zero

x - 5 = 0
x = 5 <== ur answer

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3 years ago

Find the geometric sum: 40 + 20 + 10 + … + 0.078125

sveticcg [70]

$S=40+20+10+\cdots+0.078125$
$S=40\left(1+\dfrac12+\dfrac14+\cdots+\dfrac1{512}\right)$
$S=40\left(1+2^{-1}+2^{-2}+\cdots+2^{-9}\right)$

$2^{-1}S=40\left(2^{-1}+2^{-2}+2^{-3}+\cdots+2^{-10}\right)$

$\implies S-2^{-1}S=40\left(1-2^{-10}\right)$
$\implies\dfrac12S=40\left(1-\dfrac1{1024}\right)$
$\implies S=80\left(1-\dfrac1{1024}\right)=\dfrac{5115}{64}=79.921875$

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3 years ago

18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?

sweet-ann [11.9K]

Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

5 0

2 years ago