All categories

3 years ago

1/4(r-5/2)=1/8 i need an answer cant figure it out

Mathematics

2 answers:

san4es73 [151]3 years ago

5 0

1/4(r - 5/2) = 1/8
Divide both sides by 1/8 :0
2(r - 5/2) = 1
r - 5/2 = 1/2
r = 1/2 + 5/2 = 6/2

r = 3 Answer

egoroff_w [7]3 years ago

5 0

$\dfrac{1}{4}(r - \dfrac{5}{2}) = \dfrac{1}{8}$

The LCD of both fractions is 8, so multiply both sides by 8.

$8 \times \dfrac{1}{4}(r - \dfrac{5}{2}) = 8 \times \dfrac{1}{8}$

$2(r - \dfrac{5}{2}) = 1$

Distribute the 2 on the left side.

$2r - 5 = 1$

$2r = 6$

$r = 3$

You might be interested in

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

A piece of electrical pipe conduit has an outer

Umnica [9.8K]

Step-by-step explanation:

inside diameter = 11/2 - 3/16 = 85/16 or 5.3125 inches

Topic: fractions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

4 0

3 years ago

You want to estimate the mean amount of time college students spend on the Internet each month. How many college students must y

KonstantinChe [14]

Answer:

752.95

Step-by-step explanation:

Data provided in the question

The standard deviation of population = 210

The Margin of error = 15

The confidence level is 75%, so the z value is 1.96

Now the required sample size is

$= 1.96^2\times \frac{210^2}{15^2}$

= 752.95

Hence, the number of college students spends on the internet each month is 752.95

Simply we considered the above values so that the n could come

8 0

3 years ago

If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a r

pickupchik [31]

Answer:

0.73

Took the quiz

8 0

3 years ago

What are the zeros of the function defined by the polynomial<br> x2 + 7x+12?

ryzh [129]

Answer:

x = -4 and -3

Step-by-step explanation:

factors to (x+4)(x+3)

to zero them is -4 and -3

Please mark me brainliest to help me get Ace rank

4 0

3 years ago