Solve the following log3 34 a. 3.3 b.3 c.3.2098 d. 0 e.2 f. 312

17000 spent on expenses if that amount is 58.6% of total income how much is made a year

belka [17]

Answer:

Step-by-step explanation:

58.6% of the total income is 17,000

let x represent the total income

58.6%(x) = 17,000...turn ur percent to a decimal

0.586x = 17,000

x = 17,000 / 0.586

x = 29010.238 rounds to 29,010.24 <== total yearly income

check...

58.6% of 29,010.24 = 17,000

0.586(29,010.24) = 17,000

17,000 = 17,000 (correct)

5 0

4 years ago

One quarter of a number increased by one half of the same number is twelve HELP plz

Mandarinka [93]

Answer: 1/4x + 1/2x = 12

x = 16

Step-by-step explanation: combine the 1/4x and 1/2x to 3/4x because they are like terms then divide 12 by 3/4 or 0.75 to get 16

5 0

3 years ago

(c³d)a(cd⁷)a Simplify

Veseljchak [2.6K]

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

5 0

3 years ago

Please help me with precalculus?? linear and angular speed

Anit [1.1K]

13)

there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,

$\bf \cfrac{4\underline{\pi} }{5~\underline{s}}\cdot \cfrac{rev}{2\underline{\pi} }\cdot \cfrac{60~\underline{s}}{min}\implies \cfrac{4\cdot 60~rev}{5\cdot 2~min}\implies \cfrac{240~rev}{10~min}\implies 24\frac{rev}{min}$

14)

$\bf \textit{linear velocity}\\\\
v=rw\quad 
\begin{cases}
r=radius\\
w=angular~speed\\
----------\\
v=32\frac{m}{sec}\\
w=100\frac{rev}{min}
\end{cases}\\\\
-------------------------------\\\\
\textit{let's convert \underline{w} to }\frac{radians}{sec}$

$\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\
-------------------------------\\\\
v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }
\\\\\\
r=\cfrac{90}{10\pi }m$

15)

what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)

$\bf \cfrac{\underline{\pi} }{3~\underline{sec}}\cdot \cfrac{rev}{2\underline{\pi }}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{60 ~rev}{3\cdot 2 ~min}\implies \cfrac{60 ~rev}{6 ~min}\implies 10\frac{rev}{min}$

4 0

4 years ago

What’s equivalent to the equation 5x+30=45 PLEASE HELP ME

Leto [7]

Answer:

x+6=9

Step-by-step explanation:

divide all by 5

6 0

3 years ago

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