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galben [10]
3 years ago
8

Mike and John are the partners in a local bar who invest in a ratio of 7:13, respectively. They started the business with $1.5M.

A) How much money did Mike invest? Answer:$ B) How much money did John invest? Answer:$ C) What percent of the business does Mike own? Answer: % (round to the nearest tenths of a percent)
Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Answer:

A) $525,000

B) $975,000

C) 35%

Step-by-step explanation:

To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.

To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.

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Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur
Montano1993 [528]
ANSWER

x = 3
CD= 21 \: units
DE= 16 \: units

CE= 21 \: units



EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

CD=4x+9


DE=7x-5


CE=16x-27



It was also given that, angle D is congruent to angle E.


This implies that, side CD and CE are equal.


Thus,

|CD|  =  |CE|
In terms of x, we have;

4x + 9 = 16x - 27


We group like terms to get,

16x - 4x = 9 + 27

12x = 36

Divide both sides by 12 to get,

x =  \frac{36}{12}

\therefore \: x = 3


The length of the sides are;

CD=4(3)+9 = 21 \: units

DE=7(3)-5 = 16 \: units


CE=16(3)-27 = 21 \: units
3 0
3 years ago
PLEASE HELP ASAP! Question 12. Thank you
a_sh-v [17]

Answer:

Step-by-step explanation:

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8 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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A 13​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 5 fee
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The answer is 12 because (a^2 + b^2 = c^2) 

5^2 + b^2 = 13^2  
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