They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
Answer:
a) 7/10
b) There is no improper fraction form for this
Answer: OPTION C
Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.
Therefore, you have:
Now, you must apply the distributive property, therefore, you obtain:
As you can see, the answer is the Option C.
The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.
It's asking "what number can we add to both sides of this equation so that we isolate x?"
Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)
So we really have this equation: x+20 = 25
We can add -20 to both sides to cancel out the +20 on the left side
x+20 = 25
x+20+(-20) = 25+(-20) ...... add -20 to both sides
x = 5
This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25
