It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
The correct answer would be 1in, if you want to check and see if im right use a 12 inch ruler and check
hope this helps out.
Revenue = price * number of backpacks
number of backpacks = -2p + 50
p = 9 ; -2(9) + 50 = -18 + 50 = 32
revenue = 9 * 32 = 288
p = 12 ; -2(12) + 50 = -24 + 50 = 26
revenue = 12 * 26 = 312
<u>p = 12.50 ; -2(12.50) + 50 = -25 + 50 = 25</u>
<u>revenue = 12.50 * 25 = 312.50</u> GIVES THE MAXIMUM REVENUE
p = 15 ; -2(15) + 50 = -30 + 50 = 20
revenue = 15 * 20 = 300
Answer:
Rotational symmetry of 180 degrees around the origin - yes
Rotational symmetry of 270 degrees around the origin - no
Step-by-step explanation:
thanks to math bits notebook we can see a visual representation
As you can see the parallelogram has rotational symmetry of 180
