Answer:
1/5
Explanation:
For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c =
, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.
So, from the problem, if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>
<em />
<em />
So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
We know that
<span>82 is an integer, a whole number, a natural number, and a rational number (since 82 = 82/1)
</span><span>So
82 belongs to the set of integers, set of whole numbers, set of natural numbers, and the set of rational numbers</span>