Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be 
, we proceed to show the appropriate procedure to step 4:
1) 
Given
2) 
Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
. If 
, then:
But if 
, then:
Hence, correct answer is A.
Answer:
B) 6.5 inches by 3.5 inches
Step-by-step explanation:
Multiplying the actual dimensions by the scale gives the scale dimensions:
(0.5 in)/(6 ft) × {78 ft, 42 ft}
= {39/6 in, 21/6 in}
= {6.5 in, 3.5 in}
The size on the scale drawing is 6.5 inches by 3.5 inches.
Answer:
this is the answer
0 = x2 + 3x + 2
Step-by-step explanation:
Answer: P * ( 1 + 7%)
Step-by-step explanation:
You included no options but the expression should go something like this:
Pn = P * ( 1 + 7%)
Where Pn is the new price
P is the current price
<em>The above formula will show the new price given the current price. </em>
Answer:
B (5, 13)
Step-by-step explanation:
9x + 4y = 97
9x + 6y = 123
To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.
First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.
-1(9x + 6y = 123)
-9x - 6y = -123
This is one of your equations. Set it up with your other given equation.
9x + 4y = 97
-9x - 6y = -123
Imagine this is one equation. Since every term is negative, you will be subtracting each term.
9x + 4y = 97
-9x - 6y = -123
___________
0x -2y = -26
-2y = -26
To isolate y further, divide both sides by -2.
y = 13
Now, to find x, plug y back into one of the original equations.
9x + 4(13) = 97
Multiply.
9x + 52 = 97
Subtract.
9x = 45
Divide.
x = 5
Check your answer by plugging both variables into the equation you have not used yet.
-9(5) - 6(13) = -123
-45 - 78 = -123
-123 = -123
Your answer is correct!
(5, 13)
Hope this helps!
