Answer:
Step-by-step explanation:
If the jacket was discounted at 25%, that means that you get 25% off, right? What it also means is that you are still paying 75%. To get to the price of the jacket on sale, multiply the price of the jacket by 75% (as a decimal):
290(.75) = 217.50
That's the price of the jacket when it is 25% off the original price. If Arianna got an additional 10% off that price, that means she got 10% off but is still paying 90%. To get to the final price that she paid, multiply the sale price of the jacket by 90% (as a decimal):
217.50(.90) = 195.75
That's what she paid in the end for the jacket (i guess not counting tax...?)
Answer:
y=-9
Step-by-step explanation:
If x equals 2, then we can substitute that into the equation, resulting in the equation 2*2-2y=22
We can solve for multiplication first:
4-2y=22
Then we can subtract four on both sides, canceling out the four on the left side:
-2y=18
Now to isolate y, we divide both sides by -2, resulting in the solution:
y=-9
Hope this helps!
Answer:
there are 700 species in every acre
Step-by-step explanation:
divide the amount of species by the amount of acres.
It'd help if you could sketch this situation. Note that the area of a rectangle is equal to the product of its width and length: A = L W.
Consider the perimeter of this rectangular area. It's P = 2 L + 2 W. Note that P = 40 meters in this problem.
Thus, if we choose to use W as our independent variable, then P = 40 meters = 2 L + 2 W. Let's express L in terms of W. Divide both sides of the following equation by 2: 40 = 2 L + 2 W. We get 20 = L + W. Thus, L = 20 - w.
Then the area of the rectangle is A = ( 20 - W)*W.
Multiply this out. Your result will be a quadratic equation. Graph this quadratic equation (in other words, graph the function that represents the area of the rectangle). For which W value is the area at its maximum?
Alternatively, find the vertex of this graph: remember that the x- (or W-) coordinate of the vertex is given by
W = -b/(2a), where a is the coefficient of W^2 an b is the coefficient of W in your quadratic equation.
Finally, substitute this value of W into your quadratic equation, to calculate the maximum area.
