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Answer:
Infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 4
2x + y = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + (-2x + 4) = 4
- Combine like terms: 4 = 4
Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.
Answer:
Area=76.56 square feet
Step-by-step explanation:
area of a rectangle =base*height = 5ft*8ft= 40 square feet
area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet
area of a square=base*height =4ft*4ft= 16 square feet
area of a circle =
* r^{2}[/tex]=3.14*
= 12.56 square feet
r = radius
Total area=(40+8+16+12.56)square feet
Total area=76.56square feet
Answer:
828.7 hours.
Step-by-step explanation:
To answer a question in which the total time has to be calculated of all the activities, first of all, all the times have to be converted to a single form. There are two types: decimals and fractions. Convert the fractions into decimals.
Department A = 202.50 hours.
Department B = 212 3⁄4 hours = 212.75 hours.
Department C = 198.25 hours.
Department D = 215 1⁄5 hours = 215.20 hours.
Therefore, the total number of hours spent on this project by all four departments. is the sum of all the above numbers. 202.50 hours + 212.75 hours + 198.25 hours + 215.20 hours = 828.7 hours.
Therefore, the total time is 828.7 hours!!!