Answer:
<u>13 Quarters and 18 Dimes</u>
Step-by-step explanation:
Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). Give x and y a break, and make it easier to remember which is which.
D + Q = 31
D = Q + 5
Therefore:
D + Q = 31
(Q+5) + Q = 31
2Q + 5 = 31
2Q = 26
<u>Q = 13</u>
<u>Then D = (13+5) or 18</u>
================
Check:
D + Q = 31 ?
18 + 13 = 31 <u>YES</u>
----------------------
D = Q + 5 ?
18 = 13 + 5 <u>YES</u>
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line by using the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is
.
2) Now, use the point-slope formula
to write the equation of the line in point-slope form. Substitute real values for the
,
, and
in the formula.
Since
represents the slope, substitute
in its place. Since
and
represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

Answer:
75 divided by 15 is 7
Step-by-step explanation: