<h2>
Systems of Equations</h2>
To form a system of equation from a word problem, we must recognize different variables to form different equations.
<h2>Solving the Question</h2>
Let <em>a</em> represent the number of child tickets.
Let <em>b</em> represent the number of adult tickets.
We're given:
- 1a = $6.20
- 1b = $9.40
- a and b in total is 163
- Total sales = $1221.80
Because we're given that a and b in total is 163, we can form the following equation:
We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:
Here are our two equations:
<h3>Solving the System of Equations</h3>
We can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:
Subtract this new equation from the second equation to cancel out <em>a</em>:
Solve for <em>b</em>:
Therefore, the number of adult tickets sold is 66.
<h2>Answer</h2>
66
Answer:
The amount for early withdrawal is $204
Step-by-step explanation:
Annual interest rate = 5% = 0.05
Investment = $24,000
Annual interest rate * Investment = Annual interest
0.05 * $24,000 = $1,200
Penalty = Two months of interest
(months/months in a year) * Annual interest
(2/12) * $1,200 = 0,17
0,17 * $1,200 = $204,00
Answer:
I think 8/5
Step-by-step explanation:
from X=2 to X=10 its 8 spaces and from Y=2 to Y=7 its 5 spaces, not 100% sure of this but seems right. :)
Answer:
The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.
Answer:
The answer to your question is 164 meters
Step-by-step explanation:
Data
Width = 100 m
Length = 130 m
diagonal = ?
Process
1) To solve this problem, use the Pythagorean theorem
c² = a² + b²
where,
c = diagonal
a = length
b = width
2) Substitution
c² = (130)² + (100)²
3) Simplification
c² = 16900 + 10000
c² = 26900
4) Result
c = 164 m
