Answer:
original price $75
discount $18.75
sale price $56.25
Step-by-step explanation:
I found a pair of dress pants for $75.
Since the discount is 25%, then the discount is
25% of $75 = 0.25 × $75 = $18.75
The sale price is the original price, $75, minus the discount, $18.75.
$75 - $18.75 = $56.25
Answer:
The factors of x^2+3x-4 are (x-1)(x+4) ....
Step-by-step explanation:
We have to find the factors of x^2+3x-4
As we know that this is a quadratic equation.
So we have to find the roots first.
The roots are -1 and 4.
Now completing the quadratic formula using the roots we have :
x^2+4x-x-4
Make a pair of first two terms and last two terms:
(x^2+4x)-(x+4)
Now take out the common from each pair:
x(x+4)-1(x+4)
(x-1)(x+4)
Thus the factors of x^2+3x-4 are (x-1)(x+4) ....
Answer: What you would have left is 12 pieces of pie
Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.
Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).
So, each of the three pies now have the following left overs;
1/2, 3/8 and 5/8.
Adding them all together would give,
1/2 + 3/8 + 5/8
Using 8 as the common denominator
4/8 + 3/8 + 5/8
(4 + 3 + 5)/8
12/8.
Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.
This problem is solely on right triangles, wherein the Pythagorean theorem may be applied. We must first find the angle of elevation of the flagpole using Tim's height and the difference between the shadow of the flagpole and Tim's distance from the flagpole. Therefore tan a = 1.65/(16.6-12.5) where a=21.68 degrees. We use this angle to determine the height of the flagpole. tan 21.68 = x/ 16.6 where x=height of flagpole=6.6 meters.