What is the value of x in the equation 34x+2=54x−6 ?
1 answer:
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Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula . Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is .
2) Next, use the point-slope formula to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the
,
and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
Answer:
Step-by-step explanation:
From the given table,
To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,
Since, 2 cups of blue paint are mixed with 10 cups of yellow paint
Therefore, ratio in which these shades have been added =
=
=
= 5 : 1
For 1 cup of blue paint number of cups of yellow paint required,
x = 5 cups
For 3 cup of blue paint number of cups of yellow paint required,
x = 15 cups
Cups of blue paint Cups of yellow paint
2 10
1 5
3 15