<span>The equation is: 4x + y + a = 0
Point (4, -3) </span>⇒ x = 4 and y = - 3<span>
</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0
13 + a = 0
a = -13
</span>Ansver: equation is: 4x + y - 13 = <span>0 OR 4x + y = 13
</span>
Answer:
Jacqueline runs at 6.25 minutes per mile
Step-by-step explanation:
Here we have that the total training time for Jacqueline = 54 minutes
The time for which Jacqueline swims = 30 minutes
Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes
Therefore the equation for Jacqueline's speed = Distance/Time we have
Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute
Therefore Jacqueline's pace = 0.16 miles/minute
The equation for Jacqueline's pace in miles/minute is presented as follows
Jacqueline's pace in miles/minute = Time of running/Distance
Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3
*REVERSE THE CHANGE QUESTION*
100% + 20% = 120% = $252
252 / 120 = $2.10 = 1%
100% = 2.1 x 100 = $210