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3 years ago

6

You order office supplies for your company every quarter. The invoices for the first three quarters are $615, $791, and $803. Wh

at was the total amount spent on office supplies for the first three quarters?

2 answers:

Vsevolod [243]3 years ago

5 0

Answer:

2209

Step-by-step explanation:

add all three numbers together

guapka [62]3 years ago

4 0

Answer:

$2209

Step-by-step explanation:

Add all three numbers together

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What is x if n≠m? Please help!

lorasvet [3.4K]

Answer: $x = \frac{mn(q - p)}{n-m}\\\\$

================================================

Work Shown:

Part 1

$\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\$

Part 2

$\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m} \\\\$

-------------------------------

Explanations:

There are quite a bit of steps. I decided to break things into two parts.
The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
If the formulas don't properly display, then you might have to refresh the page.

7 0

3 years ago

Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the

frozen [14]

Answer:

$y = Ke^{5.2t}$

Exponential growth

Step-by-step explanation:

We can solve this differential equation by the separation of variables method.

We have that:

$\frac{dy}{dt} = 5.2y$

So

$\frac{dy}{y} = 5.2dt$

Integrating both sides

$\ln{y} = 5.2t + K$

In which K is the value of y when t = 0.

We apply the exponential to both sides, so:

$y = Ke^{5.2t}$

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.

6 0

3 years ago

There are two clocks in a shop. The first clock chimes every 5 minutes. The second clock chimes every 6 minutes. If both clocks

JulijaS [17]

3:45 is the answer I belive

3 0

2 years ago

The sum of a number and seven is less than 12

marin [14]

Answer:

Step-by-step explanation:

X+7 < 12

3 0

3 years ago

Solve 6 times e^0.25t = 9 for t

Svetlanka [38]

Answer:

t =1.621860432

Step-by-step explanation:

6e^0.25t = 9

Divide each side by 6

6/6e^0.25t = 9/6

e^0.25t = 3/2

Take the ln of each side

ln e^0.25t = ln (3/2)

.25t = ln (3/2)

Divide each side by .25

.25t/.25 = 1/.25 ln (3/2)

t = 4 ln (3/2)

t =1.621860432

3 0

3 years ago

Read 2 more answers