When solving equations like these, our number one goal is to get x to be alone.
So given the equation lets go through it step by step.
3x - 5 = 10 + 7x (first step is to add 5 to both sides)
+ 5 = + 5 ( Now lets see what we have now)
3x = 15 + 7x ( We need the x to be alone! So lets subtract -7x from both sides.)
-7x = -7x ( now what do we have?)
-4x = 15 (okay divide both sides by 4 to isolate the x)
÷4 = ÷4 (now the 4's on the left side cancel out, and we solve on the right side)
x = 3.75
That's your answer :) Good Luck!
Answer:
3 (8v+5) (8v-5)
Step-by-step explanation:
192v^2 -75
factor out a 3
3 (64v^2 -25)
now the inside is a difference of squares)
a^2 – b^2 = (a + b)(a – b) where a = 8v and b =5
3 (8v+5) (8v-5)
Answer:
1.62m^2
Step-by-step explanation:
From the problem statement, the scale of the drawing is
1cm:45cm (meaning that 1cm on the drawing represent 45cm in reality ofr actual)
first,let us convert 20cm to the actual drawing
20cm in actual will give 20*45=900cm
to meters =900/100= 0.9m
Secondly let us convert 40cm to the actual drawing
20cm in actual will give 40*45=1800cm
to meters =1800/1000= 1.8m
Now we can calculate the actual area in meters we have
area= 0.9*1.8
area= 1.62m^2
Answers:
5) product is 
6) product is 
7) product is 
8) product is 
9) product is 
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Explanation:
For each of these questions, you'll multiply the term outside by each term inside the parenthesis. I'm using the distributive property.
In problem 5, we multiply the outer 7a by the following terms inside like so

The other problems will have similar steps.
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A useful rule to keep in mind is that 
For example, 