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Nonamiya [84]
3 years ago
9

Which three fractions are less than 40% A. 3/20 B. 23/100 C. 3/5 D. 1/8​

Mathematics
2 answers:
storchak [24]3 years ago
7 0

Answer:

A, B, D

Step-by-step explanation:

nikdorinn [45]3 years ago
5 0

Answer:

A, B, D

Step-by-step explanation:

40% is the same as the fraction 4/10.

Compare 4/10 with 3/20 (A):

LCM of 10 and 20 is 20, so make the denominators of all fractions to 20

We now have 8/20 and 3/20

Now you can just simply look at the numerators. 3 is obviously less than 8 so option A is less than 40%

Compare 4/10 with 23/100 (A):

LCM of 10 and 100 is 100, so make all denominators 100

Now compare 40/100 and 23/100

40>23 so 23/100 is less than 40%

Compare 4/10 with 3/5 (C):

We can further reduce 4/10 to 2/5, and conveniently it has the same denoninator as 3/5. 3 is NOT less than 2, so C is ruled out.

Compare 4/10 with 1/8 (D):

LCM of 10 and 8 is 40, so we'll use that as our denominator

We now have 16/40 and 5/40.

5 is less than 16, so we include D in our answer.

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Answer:

\large\boxed{-\dfrac{1}{3}-\dfrac{\sqrt{14}}{3}i,\ -\dfrac{1}{3}+\dfrac{\sqrt{14}}{3}i}

Step-by-step explanation:

Use

ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

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Use

i=\sqrt{-1}

\sqrt{-14}=\sqrt{(-1)(14)}=\sqrt{-1}\cdot\sqrt{14}=i\sqrt{14}

Therefore:

x=\dfrac{-2\pm 2i\sqrt{14}}{2(3)}=-\dfrac{2}{6}\pm\dfrac{2i\sqrt{14}}{6}=-\dfrac{1}{3}\pm \dfrac{\sqrt{14}}{3}i

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A vertical line is modeled by the equation, x = 3. What are the coordinates of the line's x-intercept? Write the coordinates as
kramer

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The line (x = 3) will be parallel to y axis, and intersects x - axis at point (3 , 0)

The coordinates of line's x - intercept is (3 , 0)

graph in attachment ~

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Step-by-step explanation:

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