X + 11 + 8x = 29. We need to solve for x.
First, on the left side, you have "x" and "8x": You can always add 2 numbers with the same variable, so you have 1 number: x + 8x = 1x + 8x = (1+8)x = 9x
So we get:
9x + 11 = 29
Now subtract 11 from both sides (You can't do any operation if you don't do it both sides), so you can get the variable alone on the left side, and the numbers on the right side:
9x + 11 = 29
9x + 11 - 11 = 29 - 11
9x = 18
Now divide both sides by 9, so you can transform the coefficient of x to one, and have the numeric value of x on the right side:
9x = 18
(9x)/9 = 18/9
x = 2
So x+11+8x = 29 for x = 2.
You can recheck your answer (very important):
x + 11 + 8x = 2 + 11 + 8*2 = 2 + 11 + 16 = 13 + 16 = 29
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Hope this Helps! :)
We are given the functions:
f(x) = 4 x – 5 --->
1
g(x) = 3 x + 7 --->
2
To find for the value of f(x) + g(x), all we have to do is
to add equations 1 and 2:
f(x) + g(x) = 4 x – 5 + 3 x + 7
f(x) + g(x) = 7 x + 2 = y
In this case, for any real number value assign to x, we get
a real number value of y. This is because the function is linear.
Therefore the domain of the function is all real numbers.
Answer:
<em>150 miles</em>
Step-by-step explanation:
Given the scale on the map using the conversion factor
1 inch = 50 miles
We are to find the equivalent miles between the cities in miles if the distace is 3inches
3inches = x
Divide both expressions
1/3 = 50/x
Cross multiply
x = 3 * 50
x = 150
<em>Hence the actual distance between these two cities in miles is 150 miles </em>
Answer:
4:9
Step-by-step explanation:
- Circles: 8
- Total shapes: squares + circles
- Total shapes: 10 + 8
- Total shapes: 18
- Circles : Total shapes = 8:18
- 8:18 = 4:9
I hope this helps!