Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
You need to put a photo of the shapes.
Answer:
3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).
x = -8/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 12 from both sides.
Step 3: Divide both sides by 10.
Answer:
x = 2 1/6 (13/6)
Step-by-step explanation:
to solve the proportion you must first find the LCF or least common factor
that is 6
so turn 8/3 into 16/6 by multiplying it by 2/2
x + 3/6 = 16/6
then you subtract 3/6 from both sides
x = 13/6
x is 2 1/6
Answer:
<h2>8.3 in²</h2>
Step-by-step explanation:
We have
three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>
one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
Substitute:
