Let's call the younger student's age A and the older student's age B. The teacher's age will be T.
B = 2A
T = 5B
T+5 = 5(A+5)
Simplify the last equation.
T+5 = 5A+25
T = 5A+20
Now we have two equations solved for T, so we can set them equal to each other.
5B = 5A + 20
We can plug 2A in for B
5(2A) = 5A + 20
10A = 5A + 20
5A = 20
A = 4
To find T, we plug 4 in for A in T = 5A + 20
T = 5(4) + 20
T = 40
The answer is 40 years old.
Answer:
As my family and I walked through the line to receive our tickets, I felt an energy pulsing through me. I was so excited to be here. Adventure island! Ever since I could understand how much fun amusement parks were, I wanted to go. The commercials always drew me in. The rollercoasters, turning tea cups, and kids running around with rainbow ice-cream.
I almost couldn't stand still as the ticket lady wrapped the wristband around my left wrist. The bright green wristband read "Adventure Island", in bold black letters. At that point, it felt so real. I was finally here! After all these years of envying the families on the commercial.
Our first ride was on their tallest rollercoaster. As I board the ride, I remember how many times I've watched videos online of people riding this. It felt so exhilarating. When I get buckled into the seat, the attendant gives a thumbs up to the man controlling the ride, and I take off.
When I exit the ride, I feel this surge of energy. I'm so excited. There is one last thing I want to do before I leave though; get ice-cream. Rainbow twist with nuts and cherries. As I'm waiting in the line to buy my ice-cream I think of all the fun I had today, and how one day id love to take my family here.
I order my ice-cream and when I receive it, I walk to my family and leave the park with a smile on my face.
:))
Answer:
$11838.7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Simple Interest Rate Formula:
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>P</em> = 9500
<em>r</em> = 4.5% = 0.045
<em>t</em> = 5
<u>Step 2: Find </u><em><u>A</u></em>
- Substitute in variables [Simple Interest Rate Formula]: A = 9500(1 + 0.045)⁵
- (Parenthesis) Add: A = 9500(1.045)⁵
- Evaluate exponents: A = 9500(1.24618)
- Multiply: A = 11838.7
Answer:
g
Step-by-step explanation:
gygt7f7
Given :-
- First term of an AP is -17 .
- Common difference is 5 .
To Find :-
- The formula for the nth term .
Solution :-
We know that the nth term of an AP is given by ,
where ,
- a is the First term .
- n is the number of the term .
- d is the common difference .
- T_n is the nth term .
On substituting the respective values we have ,
Open the brackets ,
Simplify ,
<u>Hence</u><u> the</u><u> </u><u>nth </u><u>term</u><u> of</u><u> </u><u>the</u><u> </u><u>AP </u><u>is </u><u>given</u><u> </u><u>by </u><u>5</u><u>n</u><u> </u><u>-</u><u>2</u><u>2</u><u>.</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>