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raketka [301]
3 years ago
12

Help in showing the steps to simplify? 15 points

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
<span>.58 is the answer, first u do the 3 part then mulitply that times 8 then divide by 8 :)</span>
Advocard [28]3 years ago
7 0
Well, the idea is to "rationalize the denominator", which is another way to say "getting rid of that pesky radical in the bottom".

so, we'll do so by multiplying for "something" that raises the radicand and then it comes out

\bf \cfrac{8}{8\sqrt{3}}\implies \cfrac{1}{\sqrt{3}}\implies \stackrel{rationalizing~it}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}}\implies \cfrac{1\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}

bear in mind that   \bf \cfrac{something}{something}=1\qquad \qquad \cfrac{same}{same}=1\qquad \qquad \cfrac{\sqrt{3}}{\sqrt{3}}=1

so, all we really did was, multiply it by "1", and recall that anything times 1 is just itself, so the fraction never really changed in value, just looks different, is all.
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April and Amy are twin sisters. They have a total of 120 CDs. If Amy has twice as many CDs as April. How many CDs do they each h
gulaghasi [49]
120 = 2x + x
120 = 3x
120/3 = x
40=x <- Solved for how many cds april has.
Since amy has twice as many cds, she would have 80 cds
4 0
3 years ago
A parking lot charges $3 to park a car for the first hour and $2 per hour after that. If you use more than one parking space, th
Vikki [24]

Given, a parking lot charges $3 for first hour and $2 per hour after that.

So for t hours, the parking lot charges $3 for the first hour and after first hour there is (t-1) hours left.

So for (t-1) hours it will charge $2 per hour.

The charges for (t-1) hours = $2(t-1).

Total charges for t hours for one car = $(3+2(t-1))

Now for the second car, it will charge 75% of the first car.

So the charges for second car

=$[ (3+2(t-1))(75/100)]

=$0.75(3+2(t-1))

There are 3 cars. That parking charges for the third car is also 75% of the first car.

So for third car the parking charges are same as for the second car.

Total parking charges for 3 cars

= $(3+2(t-1))+(0.75(3+2(t-1))+(0.75(3+2(t-1))

= $(3+2(t-1))+(0.75)(2(3+2(t-1))

We have got the required answer here.

The correct option is option C.

8 0
3 years ago
What value of n makes the equation true?
goldenfox [79]

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

4 0
3 years ago
Read 2 more answers
A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?
mart [117]
First you need to find the slope of the line. So what you need to do is y^2-y^1 / x^2-x^1

(x^1, y^1) (x^2, y^2)
( -1, 7) ( 2, 10)

10-7/ 2- (-1)
3/3=1
slope is 1

I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.

x y
-1 7
0 8
1 9
2 10

The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8
6 0
3 years ago
What is 3/100 times 3
weeeeeb [17]

Answer:

3/100 times 3 is 0.09 or 9/100

7 0
3 years ago
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