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A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making

Archy [21]

Answer:

The equation to find the profit made by business combined is $x+4x = 10$ .

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by business A be 'x'.

Let the profit (in millions) made by business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

$y =4x$

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.

framing in equation form we get;

$x+y =10\ million$

Substituting the value of y in above equation we get;

$x+4x = 10$

Hence The equation to find the profit made by business combined is $x+4x = 10$ .

On Solving above equation we get;

$5x =10\\\\x =\frac{10}{5} = \$2 \ million$

profit (in millions) made by business A = $\$2 \ million$

profit (in millions) made by business B = $4x =4\times 2 =\$8 \ million$

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0

3 years ago

Label each triangle

Ne4ueva [31]

Answer: Top right and left are ACUTE, Bottom right is RIGHT, and bottom left is OBTUSE.

4 0

3 years ago

Read 2 more answers

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it

son4ous [18]

To start, find your equation, n=3000(.5)^t, n being your number of bacteria and t being your time. Now plug in 375 for n and solve for t, 375=3000(.5)^t, .125=.5^t, $t=log_{.5} .125=3$ . This means your answer is 3 minutes. To check it, plug it into your equation. n=3000(.5)^t=3000(.125)=375

5 0

3 years ago

The school uses between 300 and 400 sheets of paper per school day. If paper costs the school $2.00 per 100 sheets, approximatel

Nady [450]

Answer:

Option A. $140.00

Explanation:

1. Using the minimun number of sheets of paper in the interval [300, 400]

a) Cost: $ 2.00 / 100 sheets

b) 300 sheets / day × $ 2.00 / 100 sheets = $ 6.00 / day

c) Approimately 20 school days per month:

$ 6.00 / day × 20 day = $ 120.00

2. Using the maximum number of sheets of paper in the interval [300, 400]

a) Cost: $ 2.00 / 100 sheets

b) 400 sheets / day × $ 2.00 / 100 sheets = $ 8.00 / day

c) Approimately 20 school days per month:

$8.00 / day × 20 day = $ 160.00

3. Middle value:

Calculate the middle value between $160.00 and $120.00

[$120.00 + $160.00] / 2 = $140.00

Thus, the answer is the option A.

7 0

3 years ago

Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2

Yakvenalex [24]

Answer: 28

Step-by-step explanation:

Given

Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is

$\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%$

for 36 serves, applying the same success rate, it is

$\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28$

Serves that did not make over the net is $36-28=8$

Thus, Kenny will make 28 serves that make over the net

8 0

3 years ago