All categories

1 year ago

What is 150% of 3000? Round to the nearest hundredth

1 answer:

4 0

We want to find 150% of 3000. since 150% is greater than 100%, it is expected that 150% 0f 3000 will also be greater than 3000.

$150\text{\% of 3000 }=\frac{150}{100}\times3000=4500$

Therefore, 150% of 3000 is equal to 4500.

You might be interested in

What are two factors that equal -490 and add up to -21?

Leno4ka [110]

The factors are -70 and 41
-70 x 41 = -490
-70 + 41 = -21
Hope this helps!

3 0

3 years ago

A biker rode 45 miles in 180 minutes. At what speed (in miles per hour) was the biker travelling? A. 4 B. 17 C. 9 D. 12

Anastasy [175]

Answer:

v = 15 miles / hour

Step-by-step explanation:

Given:

Distance covered by biker = s=45 miles

time taken by him = t=180 minutes

TO Find:

speed in miles per hour = v = ?

Solution:

As it is given that the distance covered is 45 miles

and time taken by him is 180 minutes

as one hour have 60 minutes

so time taken by rider = t = 180 /60

= 3 hours

this step is done because we have to find speed in miles per hour

Now

The formula for finding the distance is

distance = speed * time

s = v * t

we have to find v

so dividing both sides by t

$\frac{s}{t} = \frac{v*t}{t}$

it becomes

$v = \frac{s}{t}$

Putting the values

$v = \frac{45}{3}$

solving it gives

v = 15 miles / hour

which is the required speed

in the given options it is not available

5 0

3 years ago

Solve the equation on the interval [0,2π]

WARRIOR [948]

$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------$

$\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0$

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

$\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}$

$\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}$

3 0

3 years ago

I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)

diamong [38]

Answer:

there are no instructions

Step-by-step explanation:

pls fix ur question

7 0

3 years ago

Read 2 more answers

Which expression is eq to (125^2/125^4/3)