What is 0.8525641 rounded 2 decimal places!

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

Need help quick please. Find the area of the sector use 3.14 for pi

olga55 [171]

$\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9\\ \theta =120 \end{cases}\implies \begin{array}{llll} A=\cfrac{(120)\pi (9)^2}{360}\implies A=27\pi \\\\\\ \stackrel{using~\pi =3.14}{A\approx 84.8} \end{array}$

7 0

2 years ago

the combined area of two squares is 45 square centimetres each side is twice as long as a side of the other square what length o

Ostrovityanka [42]

Answer:

Let the side of one square be x. Area = x*x = x²

Then the side of other square would be 2x , Area = 2x*2x = 4x²

Combined area = x² + 4x² = 5x²

This combined area = 45 cm²

you simplify

Therefore 5x² = 45 Divide both sides by 5

x² = 45/5

x² = 9 Take square root of both sides

x = √9

x = 3

Length of larger square is 2x = 2*3 = 6 cm

Length of larger square = 6cm

Step-by-step explanation:

4 0

3 years ago

The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q

Irina-Kira [14]

9514 1404 393

Answer:

q = 40

Step-by-step explanation:

When the quadratic has roots p and r, it can be factored as ...

(x -p)(x -r) = x² -(p+r)x +pr

So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...

p + r = 14

p - r = 6

2p = 20 . . . add the two equations

p = 10

r = 14 -p = 4

The value of interest is then ...

q = pr = (10)(4)

q = 40

__

The graph shows the roots to be 4 and 10, as we found.

3 0

3 years ago

On Sarah's 16 GB flash drive, she can fit 16 video clips of about 1 GB each, two movies of about 8 GB each, or 4000 songs of abo

Leno4ka [110]

Answer:

She can fit either the 16 video clips or the two movies

Step-by-step explanation:

7 0

3 years ago

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