Answer: 8 inches
Explanation:
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
(Have to find the square root of 64)
= 8 inches
Emma is now 24 years old then Ben would be 2E, or 48 years old.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let B and E be Ben's and Emma's current ages, respectively.
We have given that;
Ben's age is currently twice of his sister, Emma.
B = 2E
and
8 years ago, Ben's age was 2 and a half times that of Emma's age
B-8 = 2.5(E-8)
We can substitute the value of B from the first equation into the last one
B-8 = 2.5(E-8)
(2E)-8 = 2.5(E-8)
2E-8 = 2.5E- 20
-0.5E = -12
E = 24
Thus, Emma is now 24 years old then Ben would be 2E, or 48 years old.
Learn more about equations here;
brainly.com/question/10413253
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Answer:
4 minutes
Step-by-step explanation:
Let the time taken for them to have the same number of strawberries be x minutes.
<u>Initially</u>
Ruby: 10 strawberries
Sapphire: 30 strawberries
<u>After x minutes</u>
Ruby: (10 +3x) strawberries
Sapphire: (30 -2x) strawberries
Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,
10 +3x= 30 -2x
Bring all x terms to one side, constant to the other:
3x +2x= 30 -10
Simplify:
5x= 20
Divide both sides by 5:
x= 20 ÷5
x= 4
∴ It will take 4 minutes.
Answer:
Average rate of change 
Step-by-step explanation:
Given interval are from 
Also,
Average rate of change![=\frac{f(b)-f(a)}{b-a}\ for\ given\ interval\ [a,b]](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%20for%5C%20given%5C%20interval%5C%20%5Ba%2Cb%5D)
Here given intervals are 
Plugging these value in formula, we get.
Average rate of change
D. The distribution for town A is positively skewed, but the
distribution for town B is symmetric.
