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erma4kov [3.2K]
2 years ago
9

Which of the following equations is a direct variation? y=3X+2 y=5 y=2x y=8x+6

Mathematics
1 answer:
Alex2 years ago
3 0

direct \: varition \: means \: y \alpha x \\   it \: becomes \: y = kx
So y=2x is the only answer that fit y=kx, while k=2
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Read 2 more answers
five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and s
love history [14]

The number according to the given statement is x<-0.55.

Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Five and three-tenths of a number means 5.3x.

And two and seven-tenths means 2.7.

So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7.                ......(1)

It is also given that three and three-tenths times a number means is 3.3x.      

And one and six-tenths means 1.6.

So, three and three-tenths times a number plus one and six-tenths​ means 3.3x+1.6         .......(2)

Now, we will substitute equation (1) less than equation (2) according to the given statement is

5.3x+2.7<3.3x+1.6

Further, we will subtract 2.7 from both sides, we get

5.3x+2.7-2.7<3.3x+1.6-2.7

5.3x<3.3x-1.1

Now, we will subtract 3.3x from both sides, we get

5.3x-3.3x<3.3x-1.1-3.3x

2x<-1.1

Now, we will divide both sides by 2, we get

2x/2<-1.1/2

x<-0.55

Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​" is -0.55.

Learn more about the algebraic statement from here brainly.com/question/2689808

#SPJ9

5 0
1 year ago
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