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2 years ago

Jayne says that 0.45 is equal to 4/10. Is she correct? Explain.

2 answers:

7 0

$0.45 = \dfrac{45}{100}$

$\dfrac{4}{10} = \dfrac{4 \times 10}{10 \times 10} = \dfrac{40}{100}$

$\dfrac{45}{100} \neq \dfrac{40}{100}$

They are not the equal.

yKpoI14uk [10]2 years ago

4 0

No, 4/10 is equal to 0.40 and not 0.45 since 4/10 goes in tens.

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1/4

Step-by-step explanation:

The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.

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What is the solution set of x2 + 5x + 1 = 0?

DerKrebs [107]

Answer:

$\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}$

Step-by-step explanation:

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What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov

Scorpion4ik [409]

Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
3/2 = (-13/3 × 1/2) + c
3/2 = -(13/6) + c
c = 11/3
So the final equation is y = -(13/3)x + 11/3.
I hope this helps!

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