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Dmitry_Shevchenko [17]
3 years ago
7

Solve the equation for r C=(r+k)m

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

r = c -km÷m

Step-by-step explanation:

C=( r+k) m (multiple the m with the letters in the brackets)

rm + km= c (cross the km over the equal sign and it will be a negative)

rm= c- km (then divide everything by my)

rm÷m = c - km÷ m

r = c- km÷ m

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How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?
Paraphin [41]
X = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
8 0
2 years ago
Roenfeld Corp believes the following probability distribution exists for its stock. What is the coefficient of variation on the
jok3333 [9.3K]

Complete question is attached;

Answer:

Option D: 0.3069

Step-by-step explanation:

Formula for coefficient of variation on the company's stock is;

CV = σ/E(r)

Where σ is the standard deviation and E(r) is expected value of return.

From the attached image, we can find E(r) as;

E(r) = 0.45(25) + 0.5(15) + 0.05(5)

E(r) = 19%

From online calculation, the standard deviation is 5.83%

Thus;

CV = 5.831/19

CV ≈ 0.3069

8 0
3 years ago
Help me answer this pls​
stira [4]

Answer:

x=5

Step-by-step explanation:

From this information we know that,

5x - 6 = 3x + 4  \\ 5x - 3x = 4 + 6 \\ 2x = 10 \\ x = 5

Hope it helps :)

6 0
3 years ago
25a^2-30a+9 factor ?
CaHeK987 [17]

Factor 25a2−30a+9

25a2−30a+9

=(5a−3)(5a−3)

Answer:

(5a−3)(5a−3)


4 0
3 years ago
What is 9×3 +1000×200-50?​
valentina_108 [34]

Step-by-step explanation:

The answer to ur question is 199977

3 0
3 years ago
Read 2 more answers
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