Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
<u>STEP 1:</u> So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
<em><u>(47.50 x 2 = 95)</u></em>
<u>STEP 2: </u>So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
<em><u>(47.50 ÷ 2 = 23.75)</u></em>
<u>STEP 3:</u> So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
<em><u>(95 + 23.75 = $118.75)</u></em>
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
<u>I HOPE THIS HELPED YOU!</u>
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Problem 7: Correct
Problem 8: Correct
Problem 9: Correct
The steps are below if you are curious
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Problem 7
S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15
I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.
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Problem 8
First find y
y+116 = 180
y+116-116 = 180-116
y = 64
which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x
x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99
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Problem 9
With any polygon, the sum of the exterior angles is always 360 degrees
The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96
9x squared - 6x - 6x + 4
9x squared - 12x + 4
Answer:
c would be the correct answer
Step-by-step explanation:
Answer:
<em><u>x=-6, y=-2</u></em>, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.
Step-by-step explanation:
By substitution:
x-y=-4 By adding y on both sides,
x=y-4
Now you can substitute x for the expression (y-4)
Plug the (y-4) as x in the other equation.
So -2x+3y=6 becomes
-2(y-4)+3y=6
Now solve:
-2(y-4)+3y=6 distributes out to be
-2y+8+3y=6 Now combining like terms
y+8=6 Subtract 8 on both sides to isolate the variable
<u><em>y=-2</em></u>
Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.
So x-y=-4 becomes
x-(-2)=-4
=x+2=-4
=<u><em>x=-6</em></u>
