Answer:
-6 degrees Fahrenheit
Step-by-step explanation:
Begginging temp: 26 degrees
Temp. dropped: 32 degrees
26 - 32 = -6 degrees
To answer this question, you will reflect the original shape to make a new trapezoid at K(2, -1), G (2, -4), H(6, -4), and J (6, -2). You will keep the y value in each ordered pair and write the opposite x value to show the reflection.
These are all then translated 3 units left to create the new ordered pairs:
K(-1, -1), G(-1, -4), H(3, -4), J(3, -2)
The two parallel sides are KG and JH. These were originally CF and DE.
Let I am interest, r rate, t time and p principle,
l= prt
l= 5500(.115)(5 )= $3162.5 is the total amount of interest to pay.
Answer:
<u>x= 4 2/3 </u><em><u>OR</u></em><u> 14/3 </u><em><u>OR</u></em><u> 4.6... –– 4 2/3 and 4.6... are the simplest form.</u>
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
<u>4 2/3, 14/3, 4.6... = x</u>
How many males and how many females would there be if the total enrollment is 15000?
Ratio is
90 males 15000 - x
------------- = ---------------
125 fem x
Then 90x = 1875000 - 125x, or 215x = 1875000
x = approx 8720 females
and 15000-8720, or 6279 males
If every male finds a dance partner, that would leave (8720-6279) females, or 2440, without dance partners. ;(
Check: is the male:female ratio near 90:125?
Is 6279:8720 approx equal to 90:125?
Yes. 0.72 (approx) = 0.72 (approx).