Answer:
Step-by-step explanation:
To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:
Given relation:
Add 5x to both sides:
Divide both sides by 3:
<u>Slope-intercept form of a linear equation</u>
where:
- m is the slope (gradient)
- b is the y-intercept
Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.
Learn more about linear equations here:
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Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
3(x-8)=12
I got this equation since there are three of the "x-8" sections that add up to the twelve length bar above
