Answer:
x=48
Step-by-step explanation:
10x-20+6x+8=180 set the equations together and to equal 180 since a line is 180 degrees
Get the variables together
10x-20+6x+8=180
-6x -6x
4x-20+8=180
add together -20 and 8
4x-12=180
add -12 on each side
4x-12=180
+12 +12
4x=192
divide all by 4
x=48
Answer:
13 sessions
The cost for either plan: $675
Step-by-step explanation:
48x + 51 = 49x + 38
51 - 38 = 49x - 48x
13 = x
It can be done.
You must take a few steps to set it up, but then you are able to count 7 minutes. The setup makes you be able to time 2 minutes on the 5-minute sandglass and then you do another 5 minutes on the same sandglass.
Setup:
Start both sandglasses at the same time. When the 5-minute sandglass runs out, the 8 minute sandglass has 3 minutes of sand left. At this moment, start the 5 minute sandglass again.
When the 8-minute sandglass finishes the remaining 3 minutes, the 5-minute sandglass has 2 minutes left.
Actual timing of 7 minutes:
Let the 2 minutes pass, and immediately turn over the 5-minute sandglass to count an addition 5 minutes. The last 2 minutes of the 5-minute sandglass plus an additional 5 minutes of the 5-minute sandglass add to 7 minutes.
Answer:
x^4 - x^3 - 4x^2 - 3.
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= x^4 - x^2 + 9 - (x^3 + 3x^2 + 12)
Distributing the negative over the parentheses:
= x^4 - x^2 + 9 - x^3 - 3x^2 - 12
Simplifying like terms:
= x^4 - x^3 - 4x^2 - 3. (answer).
