Найдите корни уранения |t|:6=4

They need to raise $1,680 for travel expenses. Each chocolate bar is being sold for $2, and each box contains 30 chocolate bars.

leonid [27]

Answer:

Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses

Step-by-step explanation:

Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.

Number of scholars = 7

Total number of boxes $=7x$

Total number of chocolate bars $=(7x)(30)=210x$

Price of 1 chocolate bar = $2

Price of $210x$ chocolate bars $=210x(2)=\$420x$

Also,

Total amount to be raised for travel expenses = $1680

So,

$1680=420x\\x=\frac{1680}{420}\\ x=4$

Therefore,

each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses

3 0

3 years ago

In this problem, y = c1ex + c2e−x is a two-parameter family of solutions of the second-order de y'' − y = 0. find a solution of

Nonamiya [84]

y(1) = 0 y'(1) = e y" = c1ex + c2e-x y' = c1ex - c2e-x for solving c1, 0 = c1e1 + c2e-1 this implies that c1 = - (c2/e2) and to solve c2 e1 = (-c2e-2)e1 - c2e-1 e1 = (-2c2e-1) c2= - (e1/2e-1) = - (e2/2) c1 = - (c2/e2) = (e2/2e2) Therefore y =(e2/2e2)ex - (e2/2)e-x

3 0

3 years ago

Please help!!!!!!!!!!!!!!!!!

Andrej [43]

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + b
where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Slope formula: $\displaystyle \bf \frac{y_2-y_1}{x_2-x_1}$

Plug the two points into the formula.

$\displaystyle \frac{4-0}{0-(-6)}$

Subtract and simplify this fraction.

$\displaystyle \frac{4}{6} =\frac{2}{3}$

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

3 0

3 years ago

Read 2 more answers

Whats the parallel equation of y=1/3x-2 goes through point (0,6)

loris [4]

You know that two lines are parallel if they have the same slope, so the new line will also have slope

$m=\frac{1}{3}$

Because the equation of the given line is written in the form

$\begin{gathered} y=mx+b \\ \text{Where} \\ m\colon\text{slope of the line} \\ b\colon\text{ y-intercept} \end{gathered}$

Then, you can use point slope equation, which is

$\begin{gathered} y-y_1=m(x_{}-x_1) \\ \text{Where} \\ (x_1,y_1)\colon\text{ point through which the line passes.} \\ m\colon\text{slope of the line} \end{gathered}$

So,

$\begin{gathered} (x_1,y_1)=(0,6) \\ \text{ And you have} \\ y-y_1=m(x_{}-x_1) \\ y-6=\frac{1}{3}(x-0) \\ y-6=\frac{1}{3}x-0 \\ y-6=\frac{1}{3}x \\ \text{ Add 6 to both sides of the equation} \\ y-6+6=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}$

Therefore, the equation of the line that is parallel to y=1/3x-2 and goes through point (0,6) is

$y=\frac{1}{3}x+6$

7 0

1 year ago

How do you cross multiply

Dennis_Churaev [7]

I'll add a picture so it can make more sense to you. :)

We'll use the picture below as an example okay? :)
What you want to do is multiply the numerator (top number) of the left-hand fraction by the denominator (bottom number) of the right-hand fraction. Then multiply the numerator (top number) of the right-hand fraction by the denominator (bottom number) of the left-hand fraction. Next step is to set the two products equal to each other. Then solve for the variable. If you look at the picture while reading the steps, then I think it'll make more sense.
I really hope this helps :)

4 0

4 years ago