Answer:
548, 297
Step-by-step explanation:
We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:
3x + 5.5y = 3277.50
-3x -3y = -2535
________________
0x+2.5y=742.5
Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.
x+297=845
-297 -297
__________
0 548
x=548
Hope this helps!
The following is the rest of the question:
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Mikey's results showed that although both mice gained weight over the
month, mouse 2 gained more weight than mouse 1.Which graph below best
shows these results?
The complete figure is attached
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Solution:
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Graph (1)⇒⇒⇒ mouse 2 has constant weight and mouse 1 gained weight
Graph (3)⇒⇒⇒ mouse 2 has did not gain weight and mouse 1 gained weight
∴ Graph (1) and (3) are incorrect because both mice gained weight .
Graph (4) is incorrect because mouse 2 gained more weight than mouse 1
So, the correct answer is graph (2)
Add 11 on both sides to get
3=z
Working on x and y first, we get:
<span><span><span>x6 / </span><span>x3</span></span>= <span>x3</span></span> and
<span><span><span>y6/ </span><span>y12 </span></span>= 1/ <span>y6</span></span> so, we have:<span><span> 2 <span>x3 / </span></span><span>y6
Entering values in original equation, we get:
</span></span><span>(2 <span>x3/ </span><span>y6</span><span>)^2</span></span>=4 x^6 / y^12