Step-by-step explanation:
Let Number of senior citizen tickets
sold = x
Number of students tickets sold = 3.x
Number of adult tickets sold = 4 x 3x
= 12x
/* According to the problem given */
3x = x + 142
+ 3x – x = 142
2 x = 142
142 == 2
> x = 71
. Number adult tickets sold
= 12x
= 12 x 71
= 852
Answer:
Step-by-step explanation:
This is hard to explain, but basically you use exponent rules to switch it to an exponent
![(\sqrt[4]{x^{2} +4} )^{3}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%5E%7B2%7D%20%2B4%7D%20%29%5E%7B3%7D)
It's easiest if you calculate 
first
4³ = 4 x 4 x 4 = 48
Then convert the root to a fraction exponent
![\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B2%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
Combine them using addition, since addition was in the problem
I hope this helps!
Answer: 8 quartets can be formed.
1 singer will be left over.
Step-by-step explanation:
A quartet is a group of 4 members.
Given: The women'schorus has 33 members.
The number of quartets can be formed = (Total members) divided by (4)
= 33 ÷ 4
By solving 33 ÷ 4 we get 8 as quotient and remainder as 1 such that
33 = 4 x 8 +1
Hence, 8 quartets can be formed.
1 singer will be left over.
Answer:
x = √47
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b </em>= <em>x</em>
Hypotenuse <em>c</em> = √72
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate <em>x</em> term: x² = 47
- Isolate <em>x</em>: x = √47
A would equal negative 60
