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spayn [35]
3 years ago
5

Exponent laws and pythagorean theorem quiz

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

12.2

Step-by-step explanation:

A^2 + B^2 = C^2

(7)^2 + (10)^2 = (C)^2

49 + 100 = C^2

149 = C^2

sqr(149) = C

12.2 = C

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The difference between two numbers is 9.
laiz [17]

Answer:

first number=15 second number=6

Step-by-step explanation:

lets take the first and second numbers as "a" and "b"

a-b=9

a+2b=27  (solve these equations simultaneously)

eliminating a

-3b= -18

b= 6

then substitute in the first equation

a-6=9

a=9+6

a=15

I really hope you know how to solve equations simultaneously

hope this helped

5 0
3 years ago
Suppose that you hold a two-asset portfolio consisting of 100 shares of clooney brothers at $33 per share and 100 shares of marx
Rina8888 [55]
<h3>Straightforward Solution</h3>

The long way around is to compute the return from each investment and relate the sum of those returns to the toal investment.

You have invested $33×100 = $3300 in clooney. You expect a return of 20%×$3300 = $660 on that investment.

You have invested $42×100 = $4200 in marx. You expect a return of 12%×$4200 = $504 on that investment.

Your total expected return is $660 + 504 = $1164. Your total investment is $3300 + 4200 = $7500. Thus, the return on your investment is expected to be

... $1164/$7500 = 0.1552 ≈ 15.5% . . . . matches choice a.

<h3>Alternative Solution</h3>

Since the same number of shares is involved in both investments, you can weight the expected return percentages by the ratio of share price to total of share prices:

expected return = (33/75)×20% + (42/75)×12%

... = 8.80% + 6.72% = 15.52%

6 0
3 years ago
Negative three-fourths = StartFraction x over 24 EndFraction?
bearhunter [10]

Answer:

x = -18

Step-by-step explanation:

LCD=24\\-\frac{3}{4}*\frac{6}{6}\\-\frac{18}{24}  \\\\-\frac{3}{4} =\frac{x}{24} \\-\frac{18}{24} =\frac{x}{24} \\-18=x

8 0
3 years ago
. , FG = 40, RS = 40, OP = 15. Find x. 20 15 21 17
kompoz [17]
The answer is 36382&
3 0
3 years ago
A number is divided by 4, and then the quotient is added to 17. The result is 25. Find the number
PolarNik [594]
Hello!!!

So we are given some number, which we will call x for simplicity purposes. They tell us that number is divided by 4 so x/4, and then 17 is added, so we now have x/4+17 and they tell us this combination is equal to 25 so set what we have so far equal to 25. So we have finally x/4+17=25. Now we just solve for x!

x/4+17=25 first we subtract 17 from both sides leaving us with, x/4=8 so now See need to multiply by 4 on both sides to clear the fraction and get x alone. So we have now

x=8*4 so x=32

Now we can check our answer by putting our value of x into equation and make sure it’s true. So we have for our check,

32/4+17=25 and 32/4 is 8 so we have 8+17=25 which is 25=25 so our equation is true and our answer is correct!!

Hope this helps you understand the concept!! Any questions please just ask!! Thank you so much!!
3 0
3 years ago
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