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3 years ago

Slove the inequality 5(x + 1) <25 x < 4 x > -4 x > 4 Pls help meee

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Algebra

Use the distributive property to make 5x+5.

5x+5<25

Subtract 5 from both sides.

5x<20

Divide both sides by five.

x<4

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A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk

Luden [163]

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = $1 *10^6$ bytes

kilobyte = $1*10^3$ bytes

and a regular byte would just be $1$

Now, you will need to do a conversion:

$1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}$

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are $1*10^6$ bytes!)

In the second fraction thought, remember one kilobyte is $1*10^3$ bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do $\frac{1kilobyte}{1*10^3bytes}$ , but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

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3 years ago

Simplify the rational expression. State any restrictions on the variable.

natulia [17]

Answer:

t+4, t≠8

Step-by-step explanation:

$\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4$

The value of t must not be one that makes the denominator zero, hence must not be 8.

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3 years ago

To rent a jet ski at Hayden’s cost is $25 plus $3 per hour. At Austin’s, it costs $5 plus $8 per hour. At how many hours will th

Katen [24]

<u>At Hayden's:</u>

$(25+3)= \ 28+3 \ (2nd \ hour)=31+3 \ (3rd \ hour)=34+3 . . . \swarrow\swarrow \\ \ \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \boxed{34+3=37}= \ (4rth \ Hour)$

<u>At Austins:</u>

$(5+8)= \ (first \ hour) = 13+8= \ 21 = (2nd \ hour) \ 21+8=29= \ \swarrow \\ \longrightarrow \ 29=(3rd \ hour)=\boxed{ 29+8= (37)= \ ((Forth \ hour))}$

As we can see in both results, it would take them (4 hours) for the prices to be equaled.

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3 years ago