Answer:
x=8/9
Step-by-step explanation:
-3.1x+7-7.4x=1.5x+6(x-3/2)
-3.1x-7.4x+7=1.5x+6x-9
-10.5x-1.5x-6x=-9-7
-18x=-16
18x=16
x=16/18
simplify
x=8/9
y=5x-4 is the equation of the line 3y = 15x - 12 in slope intercept form.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is 3y = 15x - 12
Three times of y equal to fifteen times of x minus twelve.
We need to convert it to slope intercept form y=mx+b to do this we have to isolate the y term and divide the equation coefficient by 3
Divide both sides by 3
y=15/3x-12/3
When fifteen is divided by three the result is five and when twelve is divided by three we get four.
y=5x-4
Hence, y=5x-4 is the equation of the line 3y = 15x - 12 in slope intercept form.
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The unit rate for Leo's reading is 20 pages per hour and 0.05 hours per page.
To find the unit rate for pages per hour, we need to adjust Leo's reading speed to reflect a full hour rather than half an hour. Since he reads 10 pages in half an hour, then in a full hour, which is twice as long, he would read twice as many pages. So, Leo's rate in terms of pages per hour is 20 pages per hour.
To find the unit rate for hours per page, we flip the ratio. So instead of looking at it as 'pages over hours,' we're looking at it 'hours over pages'. Leo reads 10 pages in half an hour, that is 1 page in 1/20 of an hour (or 0.05 hours). Therefore, his rate in terms of hours per page is 0.05 hours per page.
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