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3 years ago

What's 5 2/5 as a mixed number??

Mathematics

2 answers:

frosja888 [35]3 years ago

8 0

Yeah 27/5 and it’s improper because the numerator bigger

Dmitrij [34]3 years ago

5 0

5 2/5 is a mixed number, as an improper fraction it’s 27/5

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What is the value of x in the equation

Nastasia [14]

Answer:

Step-by-step explanation:

$\frac{1}{3x} - \frac{1}{2} = 18 \frac{1}{2} \\ \\ \frac{1}{3x} - \frac{1}{2} = \frac{37}{2} \\ \\ \frac{1}{3x} = \frac{37}{2} - \frac{1}{2} \\ \\ \frac{1}{3x} = \frac{37 - 1}{2} \\ \\ \frac{1}{3x} = \frac{36}{2} \\ \\ \frac{1}{3x} = 18 \\ \\ 1 = 54x$

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3 years ago

Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?

Orlov [11]

Answer:

$x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

Step-by-step explanation:

Consider the equation

$2\sin^2x-5\sin x-3=0$

Substitute

$u=\sin x$

into the equation:

$2u^2-5u-3=0$

This is quadratic equation, where

$D=(-5)^2-4\cdot 2\cdot (-3)=25+24=49\\ \\\sqrt{D}=7$

Hence,

$u_1=\dfrac{-(-5)-\sqrt{D}}{2\cdot 2}=\dfrac{5-7}{4}=-\dfrac{1}{2}\\ \\u_2=\dfrac{-(-5)+\sqrt{D}}{2\cdot 2}=\dfrac{5+7}{4}=3$

Now, use the substitution again:

1. When $u_1=-\dfrac{1}{2},$ then

$\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

2. When $u_2=3,$ then

$\sin x=3$

This equation has no solutions, because the range of $\sin x$ is $[-1,1]$ and 3>1.

4 0

4 years ago

Read 2 more answers

Finish writing the equation of the line y= -3/2x+?, given the points (6, -5) and (-2, 7).

anastassius [24]

Answer:

y=-3/2x+4

Step-by-step explanation:

In order to solve this you need to graph the points and then draw a line threw them. The place where the line crosses through the y-intercept is the value for b in y=mx+b.

6 0

3 years ago

Fractions in simplest form that have denominators of 2,

Montano1993 [528]

One of the fractions could be 1/2

Hoped this helped at all :)

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3 years ago

Which property would allow you to use mental computation to simplify the problem 23 + (7 + 9)?

katrin2010 [14]

Distributive property

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3 years ago

What's 5 2/5 as a mixed number??​

What's 5 2/5 as a mixed number??