Solve for x for the following equations

a box contains 'n' quarters and some dimes. the ratio of quarters to dimes is 1:2. write an expression for the total number of m

True [87]

The ratio 1:2 means there are twice as many dimes as there are quarters. An expression could be n=2d, n being number of quarters, d being number of dimes.

3 0

3 years ago

Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The

faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs $= 400x+1600$

Sales revenue = no of units sold * price = $x(700-5x) = 700x-5x^2$

Profit funciton = P(x) = Sales revenue - Total cost

= $700x-5x^2-400x-1600\\=300x-5x^2-1600$

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

$P'(x) = 300-10x\\p"(x) = -10$

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0

4 years ago

The radius of a circle is 3 miles. What is the circle's area?

BARSIC [14]

Answer:

9π miles²

Step-by-step explanation:

The area of a circle is πr²

Now we plug in 3 miles for the radius

A=πr²

A=π3²

A=9π miles²

3 0

3 years ago

Solve this <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti

vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.