Answer:
the system has a unique solution
Step-by-step explanation:
Start with an equation of a line in standard form,

Solve it for y to put it into the slope-intercept form:


The slope is -a/b.
Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.
You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.
Answer: the system has a unique solution
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Solution:
Cost for single ticket = t dollars
Discount percent per ticket = 5%
Number of tickets bought = 10
Total discount for 10 group tickets = Number of tickets × Discount amount
= 10 × 0.05t
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 5%t
=
t
= 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
This is easy. Select different values for x to find y values.
For example, let x = 0.
y = 8x + 12
y = 8(0) + 12
y = 0 + 12
y = 12
On your table, you have x = 0 and y = 12.
Do the same using other values of x.
Answer:
A
Step-by-step explanation:
Answer:
x = 97
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 are given a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 72
Leg <em>b</em> = 65
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 72² + 65² = x²
- Exponents: 5184 + 4225 = x²
- Add: 9409 = x²
- Isolate <em>x</em>: 97 = x
- Rewrite: x = 97