Answer:
Part a) 3.5 weeks
Part b) 185 tickets
Step-by-step explanation:
Part a) After how much time have the same number of tickets been sold for both festivals?
Let
x -----> the number of weeks
y ----> the number of tickets sold
we have
<em>Country Music Festival</em>
----> equation A
<em>Pop Music Festival</em>
----> equation B
Equate equation A and equation B
solve for x
Part b) What is the number of tickets sold at that time?
substitute the value of x=3.5 weeks in the linear equation A or linear equation B
It C)
This is because the sum of the two smaller sides in a triangle has to be larger than the bigger sides. 10+12=22.
22 is smaller than 24 which is the third side this no triangle is formed
Because the tree is the halfway point, the building would be twice as tall:
The building is 38 x 2 = 76 feet tall.
Answer:
h(5) = -22
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
h(x) = -5x + 3
h(5) is x = 5
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function]: h(5) = -5(5) + 3
- Multiply: h(5) = -25 + 3
- Add: h(5) = -22
Answer:
Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula
we have
---> the radius is half the diameter
substitute
step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem
where
b is the length side of the square
we have
substitute
solve for b^2
-----> is the area of the square
Divide by 2
step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so
simplify