We know: length of a rectangle is 7m less than three times the width.
So let's set the length to l, width to w.
And we can get that l = 3w-7.
We also know that the area of the rectangle is 66 m^2.
Thus, l*w= 66.
So we have:
function 1: l=3w-7
function 2: l*w=66
plug function 1 to 2.
(3w-7)*w=66
3w^2-7w-66=0
w=6 and -11/3.
And the width of a rectangle can not be negative.
So: w=6.
Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.
l=3*6-7=11.
So: the width of the rectangle is 6, and the length of the rectangle is 11.
Answer:
The present age of son is 7
Step-by-step explanation:
Let the son age be x
One year ago
Son's age = x - 1
Therefore man's age = 8(x-1) =8x - 8
Now man's age = x^2
Difference between both ages if man =1 years
So
x^2 -(8x-8) = 1
x^2-8x + 8-1 =0
x^2- 8x + 7 = 0
x^2 - 7x -x + 7 = 0
X(x-7) - 7 ( x - 7) = 0
(x - 1) ( x - 7) = 0
x = 1, 7
But son cannot be 1 years
Therefore ,
x = 7
SO,
age of son is <em>7</em>
age of father is x×7=<em>49</em>
The answer to your question is 1000.
Let me tell you a secret!
You know how the formula for Circumference is
<span>C = 2πr
</span>
Where r is the radius?
The reason why this formula works the way it does is because of what <span>π IS.
</span><span>π is the ratio of ANY circle's Circumference to it's Diameter.
So you can think of </span><span>π like this:
</span>
Circumference / Diameter.
2r is the same as the diameter. So what you are doing is canceling out the diameter. Similar to what you do in algebra I to solve for x. Then you are just left with the circumference. That's pretty neat!
So, let's get to it!
2<span>πr
</span>
Sadly, you'll most likely need to use a calculator for this problem, but if you are not permitted one then replace <span>π with 3.14.
</span>
What is r?
r = diameter / 2
r = 12 / 2
r = 6
2<span>π6
</span>
If you are allowed to use a calculator then plug it in to it. If not then start doing some long multiplication!
37.699ft
Answer:
Both cases will give the same price
Step-by-step explanation:
The total purchase that Joshua do will be:
2* $10.98 + 1 * $11.50 + 2* $15.99 = $65.44
Let's compare the price for both scenario
1. If the tax added before discount
taxed price $65.44 * (100+6.5)% =$69.6936
discounted price= $69.6936* (100-20)%= $55.75488
2. If the tax added after the discount
discounted price= $65.44 * (100-20)%= $52.352
taxed price $52.352 * (100+6.5%) = 55.75488
Both prices will be the same since the operation in this calculation is only multiplication.
