Find all natural values of x such that x/8 is a proper fraction, and x/4 is an improper fraction.

Mathematics

1 answer:

Roman55 [17]3 years ago

5 0

Answer:

5, 6 and 7.

Step-by-step explanation:

5/8 is proper while 5/4 is improper

6/8 is proper while 6/4 is improper

7/8 is proper while 7/4 is improper

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Find the length of DE. Round to the nearest hundredth. (Picture included)

LenKa [72]

Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent} =$

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}$

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

8 0

3 years ago

write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2

inn [45]

Answer:

$y = 2x + 2$

Step-by-step explanation:

Given

$m = 2$

$b = 2$

Required

Write equation in slope intercept form

An equation in slope intercept form is:

$y = mx + b$

Substitute values for m and b

$y = 2x + 2$

4 0

2 years ago

Solving systems of equations using substitution p=q+2<br> 4p+3q= -27

GREYUIT [131]

Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27

Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>> 4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT*

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)

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3 years ago

3x−5(x−6)=2(10−x)<br> What does x equal?

quester [9]

Answer:

Step-by-step explanation: