A. you can buy 16 items
B.when five items are bought you now have 13.75
C.you cannot buy 17 items you can only buy 16
C) a spinner with 7 equal sections.
Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5x + 10 = x - 0.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x </em>on both sides: 1.5x + 10 = -0.5
- Subtract 10 on both sides: 1.5x = -10.5
- Divide both sides by 1.5: x = -7
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 2.5(-7) + 10 = -7 - 0.5
- Multiply: -17.5 + 10 = -7 - 0.5
- Add/Subtract: -7.5 = -7.5
And we have our answer!
Answer:
No.
Step-by-step explanation:
The two smallest sides must be greater than the biggest side when added up in order to form a complete triangle.
1+3 is 4, which is less than five, so the triangle wouldn't be connected.
Essentially, imagine a triangle where one line is too short to reach the other two, which is what was just explained--the smallest sides must add up to be greater than the biggest side in order to form a complete triangle.
Answer: The area is 15 square units
Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.
Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5
Use the differences in y-values of points B & C to get the height:
4-(-2) = 6
Area = bh/2
A = 5×6/2 = 30/2
A = 15 square unts
