7 classes because $32 -$25 = 7 (where $25 is for one month, and the 7 is how much is left over of the total and 1 class = $1 dollar)
Answer:
Jessica makes $36 less than Kimmie
Step-by-step explanation:
Let
x -----> amount paid to Jessica
y ----> amount paid to Lauren
z ----> amount paid to Kimmie
we know that
------> equation A
-----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for y
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
The amount paid to Jessica was $24
The amount paid to Lauren was $36
The amount paid to Kimmie was $60
To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.
therefore
Jessica makes $36 less than Kimmie
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer: 51/8 inches
Step-by-step explanation:
Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:
15 1/8 - 8 3/4
Change the mixed fraction to improper fraction.
121/8 - 35/4
The LCM will be 8
( 121 - 70 )/8
51/8 or 6.375 inches
Therefore, the leftover piece will be 51/8 inches long