100.?...........................
9514 1404 393
Answer:
A: x + y = 55; y - x = 25
B: 15 minutes running
C: no
Step-by-step explanation:
<h3>Part A:</h3>
The two equations relate to the total number of minutes, and to the difference specified in the problem statement.
x + y = 55 . . . . . . total time is 55 minutes
y = x + 25 . . . . . . dances 25 minutes longer
__
<h3>Part B:</h3>
We can substitute for y in the first equation to find the value of x, the time spent running.
x + (x +25) = 55
2x = 30 . . . . subtract 25
x = 15 . . . . . . divide by 2
Jackie spends 15 minutes running each day.
__
<h3>Part C:</h3>
The value of y from is found using the second equation:
y = x +25 = 15 +25 = 40
Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.
Answer:
y = -1/4x + 7
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
8 = -1/4(-4) + b
8 = 1 + b
7 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -1/4x + 7
So, the equation of the line is y = -1/4x + 7
Answer:
x = 10
Step-by-step explanation:
In the last step, you can see that the fraction
has been multiplied by its reciprocal
, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply
·
:
6 · 5 = 30
3 · 1 = 3
<u><em>So now you should have the fraction:</em></u>
x = 
<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>
x = 10
Answer:
<h2>
45°</h2>
Step-by-step explanation:
they are opposite angles, same value of 45°