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Advocard [28]
3 years ago
8

Steve, Elizabeth, and Andy decide to become partners in a janitorial service company. They need $140,000 for the franchise. They

invest 3:5:8 ratio, respectively. About what percent of the business is owned by Steve?
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

18.75%

Step-by-step explanation:

We don't need to figure out how much each person needs, in dollars.

Rather, we can use the ratio to figure this out quickly.

The ratio of Steve, Elizabeth, and Andy is:

3:5:8

Ratio is parts, so in total there are:

3 + 5 + 8 = 16 parts

Out of which Steve will invest on "3" parts, so Steve will own 3 out of 16 parts in the business. This is our answer.

But we need the percentage, and percentage can be found by dividing and then multiplying the answer by 100. Lets do this:

3/16 = 0.1875

0.1875 * 100 = 18.75%

Steve owns 18.75% of the business

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Solve 2-18x-6=-7x+3+10x
Temka [501]

Answer:

x= -1/3

Step-by-step explanation:

First, we can combine like terms on each side:

-4-18x=3x+3

Then, we move all of the variables onto one side and the constant onto the other:

-18x-3x=3+4

-21x=7

x=-7/21

x= -1/3

Hope this helps!

7 0
4 years ago
Read 2 more answers
Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 End
kobusy [5.1K]

Answer:

The answer is:

She used the wrong common denominator

Step-by-step explanation:

Solving the given equation

\frac{x}{x^2-5x+6}+\frac{x}{x+3}\\\\Step 1: \frac{x}{(x-2)(x-3)}+\frac{x}{x+3}\\Step2: \frac{x}{(x-2)(x-3)}+\frac{x(x-2)}{(x-2)(x+3)}\\Step3:\frac{x(x+3)+x(x-2)(x+3)}{(x-2)(x-3)(x+3)}

Lets consider the steps given in the question:

Step2: \frac{x}{(x-2)(x+3)}+\frac{3(x-2)}{(x-2)(x+3)}

Step3: \frac{x+3(x-2)}{(x-2)(x+3)}\\

Lets compare both solutions:

In the original solution, the denominator of first term is (x-2)(x-3)

In the solution given in the question, the denominator of first term is (x-2)(x+3).

So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.

7 0
3 years ago
Read 2 more answers
Find the values of x and y ​
icang [17]

Answer:

x=15\\y=38

Step-by-step explanation:

By definition, the sum of the interior angles of a triangle is 180 degrees.

You can observe that the  given triangle has an angle that measures 90 degrees and it also has two equal sides.This means that  the other two angles are equal.

Knowing this, you can conclude that the triangle  is an Isosceles Right Triangle and the other angles measure 45 degrees each.

Therefore, now you know that:

3x=45

Solving for "x", you get that its value is:

x=\frac{45}{3}\\\\x=15

And for the other angle:

y+7=45

Solving for "y", you get that its value is the following:

y=45-7\\\\y=38

8 0
3 years ago
The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of
guajiro [1.7K]

Given.

Radius of the Half sphere is 3 inches.

From the figure;

Radius of half sphere= Radius of cylinder= Radius of cone=3inches

Height of cone= 4inches.

Height of cylinder=6inches.

Volume of cone=(πr²h)/3

=(π3²×4)/3

=(12π) inch³

volume of cylinder= πr²h=π3²6=54π inch³

Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³

Total area of Composite figure=(12π +54π +18π) inch³

=84π inch³

=(84)× 22/7inch³

=12×22 inch³

=264inch³

Hope it helps...

Regards;

Leukonov/Olegion.

6 0
3 years ago
Read 2 more answers
Of the 6.25 billion people in the world, 310 million live in North America. What percent of the world's population lives in Nort
Talja [164]

Answer:

The percent of the world's population lives in North America is <u>5%</u>.

Step-by-step explanation:

Given:

Of the 6.25 billion people in the world, 310 million live in North America.

Now, to find the percent of the world's population lives in North America.

Population of people in the world = 6.25 billion.

1 billion = 1000 million.

So, by using conversion factor we convert into million:

6.25 billion = 6250 million.

Population of people in North America = 310 million.

Now, to get the percent of the world's population lives in North America:

\frac{310}{6250} \times 100

=0.0496\times 100

=4.96\%.

So, the percent to the nearest whole number is 5%.

Therefore, the percent of the world's population lives in North America is 5%.

6 0
3 years ago
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