Answer:
c = -24
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
- Subtract Property of Equality
<u>Algebra I</u>
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Step-by-step explanation:
<u>Step 1: Define</u>
6c - 1 - 4c = -49
<u>Step 2: Solve for </u><em><u>c</u></em>
- Combine like terms: 2c - 1 = -49
- Isolate <em>c</em> term: 2c = -48
- Isolate <em>c</em>: c = -24
Step-by-step explanation:
1)The given equations are:
x − 2y = 6 ...(i)
3x − 6y = 0 ...(ii)
Putting x = 0 in equation (i) we get
=> 0 - 2y = 6
=> y = -3
x = 0, y = -3
Putting y = 0 in equation (i) we get
⇒x-2×0=6
⇒x=6
x = 6, y = 0
Use the following table to draw the graph
x 0 6
y -3 0
Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn
Graph of the equation ..(ii)
3x - 6y = 0 ...(ii)
Putting x = 0 in equation (ii) we get
⇒3×0-6y=0
=> y = 0
x = 0, y = 0
Putting x = 2 in equation (2) we get
⇒3×2-6y=0
=> y = 1
x = 2, y = 1
Use the following table to draw the graph.
x 0 2
y 0 1
Draw the graph by plotting the two points O(0,0) and D(2,1) from table
We see that the two lines are parallel, so they won’t intersect
Hence there is no solution
2)
A=adult
c=children
total lumber=30
total number=adults+children
a+c=30
total cost=50
total cost=acost+ccost
acost=a times cost per adult=a times 3=3a
ccost=c times cost per child=c tiems 1=1c=c
total cost=3a+c
50=3a+c
equiaotn are
a+c=30
3a+c=50
multiplyu first by -1 and add
3a-a+c-c=50-30
2a=20
a=10
sub
10+c=30
c=20
answer is A
15. 
Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...
Step 2: Combine like terms (
's go with 's)
Step 3: Combine like terms (
's go with 's)
Step 4: Combine like terms (normal numbers go with normal numbers)
1 + 2
3
You were correct!
16. 
I don't really know how to explain this one but I got: (7m-6n)(7m-6n)
Answer:
-4.5 is less than 3
-12/5 is less than 2
-3, -1.5, -1, 0, 2, 2.75, 5, 5.2
-3/2 = -1.5
11/4 = 2.75
