3 years ago

Is 20.55566 ratinal or irratinal?

Mathematics

1 answer:

iogann1982 [59]3 years ago

3 0

If I’m correct is rational

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A man took a trip, traveling by train. He looked out the window during the first 1/3 of the trip. He then slept for 1/5 of the r

kifflom [539]

Answer: 528 km

Step-by-step explanation:

Let x be the total distance traveled by train.

Then, the total time he spent on looking outside the window and in sleeping = $\frac{x}{3}+\frac{x}{5}=\frac{8x}{15}$

Then the remaining distance = $x-\frac{8x}{15}=\frac{7x}{15}$

The time he spent on reading = $\frac{1}{2}\times(\frac{7x}{15})=\frac{7x}{30}$

Since, the train traveled 17.6 km more while he read than while he slept.

Then,

$\frac{7x}{30}-\frac{x}{5}=17.6\\\Rightarrow\ \frac{7x-6x}{30}=17.6\\\Rightarrow\ \frac{x}{30}=17.6\\\Rightarrow\ x=30\times17.6\\\Rightarrow\ x=528$

Hence, the train traveled 528 km.

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3 years ago

This table shows data from a key to a map of ohio

Serga [27]

Where is the map??????

8 0

3 years ago

Sammy has $500 to invest. Suppose he invests it for years with a compound interest of 3%. How much money will the investment be

PilotLPTM [1.2K]

$500 is the principal number

There is a 3% interest per year

The investment continues for 4 years so,

A = 500(1+(.03*4))

A = 560

Thus, there is a 60 dollar investment.

8 0

4 years ago

Please help im bad at this pls dont just steal my points =(

shusha [124]

Answer:

the slope is a positive and the point is (-1,-2) the equation is 3=(×1,2)

Step-by-step explanation:

if im wrong im so sorry

4 0

3 years ago

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22

vlabodo [156]

$\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}\\\\
-------------------------------\\\\
\cfrac{2^5}{8}\qquad \boxed{8=2^3}\qquad \cfrac{2^5}{2^3}\implies 2^5\cdot 2^{-3}\implies 2^{5-3}\implies 2^2$

3 0

4 years ago