Answer:
(-5/8, 13/4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x + 5y = 15
8x + 4y = 8
<u>Step 2: Rewrite systems</u>
8x + 4y = 8
- Subtract 8x on both sides: 4y = 8 - 8x
- Divide 4 on both sides: y = 2 - 2x
<u>Step 3: Redefine systems</u>
2x + 5y = 15
y = 2 - 2x
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 5(2 - 2x) = 15
- Distribute 5: 2x + 10 - 10x = 15
- Combine like terms: -8x + 10 = 15
- Isolate <em>x</em> term: -8x = 5
- Isolate <em>x</em>: x = -5/8
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: 2x + 5y = 15
- Substitute in <em>x</em>: 2(-5/8) + 5y = 15
- Multiply: -10/8 + 5y = 15
- Simplify: -5/4 + 5y = 15
- Isolate <em>y</em> term: 5y = 65/4
- Isolate <em>y</em>: y = 13/4
<u>Step 6: Graph systems</u>
<em>Check the solution set.</em>
The solution set is equivalent (is in decimal form).
2x + 5y = 5
5y = 5 - 2x
y = (5 - 2x)*(1/5)
y = 1 - 2/5x
y= -2/5x + 1
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This means that 2x+5y=5 is a line of the form y=mx+C, whereby m=-2/5 and C=1.
When x=0,
5y=5
y=5/5
y=1.
FIRST COORDINATE (0,1)
When y=0,
2x=5
x=5/2
x=2.5
SECOND COORDINATE (2.5, 0)
Draw a line through the coordinates (0,1) and (2.5, 0) and your graph will emerge.
Answer:
5 blocks in each group
Step-by-step explanation:
You are dividing 10 into 2 groups, so 10/2 is your equation and 5 is your answer
Answer:
the one that i take a screen shot
4.9 then divide by .7 and you get 7 then 7x3=21
So, 21 Amoeba Proteus would be lined up to equal 3 Pelomyxa Palustris.