If a proportional relationship is given by a description such as

Mathematics

1 answer:

-Dominant- [34]3 years ago

6 0

Answer:

unit rate = (22 1/2 ÷ 3 3/4) hours per day

= 45/2 ÷ 15/4

= 45/2 × 4/15

= 6 hours per day

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Is this sequence arithmetic? If so, what is the common difference (d)? 12, 19, 26, 33

Kitty [74]

Answer:

Step-by-step explanation:

Yes it is.

The common difference is +7

8 0

3 years ago

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :