Since 12 inches is 1 foot, 8 inches must be 96 inches (8 x 12)

the ratio is 3:96.
Oh wait, it can be divided once more by 3.
Therefore, the (final) answer for the scale of the drawing is 1:32

6 0

3 years ago

Find the slope between (1,-19) and (-2,7)

DanielleElmas [232]

Answer
4

Explanation
(1,19) (-2,7)
7-19=-12
-2-1=-3
The divide -12 and -3 and you get 4
Hope this helps

8 0

3 years ago

Read 2 more answers

a soft drink vendor at a popular beach analyzes his sales recods and finds that if he sells x cans of soda pop in one day, his p

ZanzabumX [31]

Complete Question:

A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x² + 3x - 1800.

a. What is his maximum profit per day?

b. How many cans must be sold in order to obtain the maximum profit?

Answer:

a. $450

b. 1500 cans

Step-by-step explanation:

Given the following quadratic function;

P(x) = -0.001x² + 3x - 1800 ......equation 1

a. To find his maximum profit per day;

Since P(x) is a quadratic equation, P(x) would be maximum when $x = \frac {-b}{2a}$

Note : the standard form of a quadratic equation is ax² + bx + c = 0 ......equation 2

Comparing eqn 1 and eqn 2, we have;

a = -0.001, b = 3 and c = -1800

Now, we determine the maximum profit;

$x = \frac {-b}{2a}$

Substituting the values, we have;

$x = \frac {-3}{2*(-0.001)}$

Cancelling out the negative signs, we have;

$x = \frac {3}{2*0.001}$

$x = \frac {3}{0.002}$

x at maximum = 1500

Substituting the value of "x" into equation 1;

P(1500) = -0.001 * 1500² + 3(1500) - 1800

P(1500) = -0.001 * 2250000 + 4500 - 1800

P(1500) = -2250 + 2700

P(1500) = $450

b. Therefore, the soft-drink vendor must sell 1500 cans in order to obtain the maximum profit.

5 0

3 years ago