Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian coordinate plane
- Coordinates
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point A(-2, 5)
Point B(5, 5)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>
- Substitute in points [DF]:

- (Parenthesis) Simplify:

- (Parenthesis) Add/Subtract:

- [√Radical] Exponent:

- [√Radical] Evaluate:

Answer:
They sold 160 children's tickets.
Step-by-step explanation:
With the information provided, yoou can write the following equations:
x+y=233 (1)
8x+12y=2,156 (2), where:
x is the number of tickets for children 12 and under
y is the number of tickets for anyone over the age of 12
Now, you can solve for x in (1):
x=233-y (3)
Then, you have to replace (3) in (2) and solve for y:
8(233-y)+12y=2,156
1,864-8y+12y=2,156
4y=2,156-1,864
4y=292
y=292/4
y=73
Finally, you can replace the value of y in (3) to find x:
x=233-73
x=160
According to this, the answer is that they sold 160 children's tickets.
Answer:
-5.55 - 4.2c
Step-by-step explanation:
-5.55 - 8.55c + 4.35c
'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.
Combine:
-5.55 - 8.55c + 4.35c
-5.55 - 4.2c
Hope this helps.
Answer:
non proportional
Step-by-step explanation:
1/2 doesnt go into 3/4 and 20 doesnt go into 150
Answer: The conversion factor between km and m is 1 km = 1000 m, and between hr and seconds, it is 1 hr = 3600 s. Let's first convert 9 km/hr to m/hr.
9 km/hr x (1000 m / 1 km) = 9000 m/hr
Then use the 2nd conversion factor to convert hr to seconds.
9000 m/hr x (1 hr / 3600 s) = 9000 / 3600 m/s = 5/2 m/s
Step-by-step explanation: