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Tpy6a [65]
3 years ago
9

Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult t

ickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?
Mathematics
2 answers:
schepotkina [342]3 years ago
6 0
3x + y = $163
2x + 3y =$174
lora16 [44]3 years ago
4 0

3x+y=163 2x+3y=174

it should be like this {: and each point is one.

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prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

\frac{ 2^{2} x^{3} }{ y^{5} }
which simplifies to 
\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
which simplifies to 
\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}

Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
Which method would be the easiest way to solve the system
Makovka662 [10]
Elimination would be the best
6 0
3 years ago
Read 2 more answers
A local boutique sells water bottles for a set price, plus an additional fee for each letter that customers would like engraved
lesantik [10]

Answer:

y = 0.35x + 18.99

5 0
3 years ago
Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11
Alexus [3.1K]

Answer:\frac{-7\sqrt{2} }{4}

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get \sqrt{16}-x\sqrt{8} =11. We know that the square root of 16 is ±4, so now our equation is ±4 - x\sqrt{8}=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - x\sqrt{8}=11. We can use inverse operations to make the a little easier to solve: -7= x\sqrt{8}. We divide both sides by \sqrt{8} to get \frac{-7}{\sqrt{8} } =x, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by \frac{\sqrt{8} }{\sqrt{8} } (which is equal to one so we can use it) which is equal to \frac{-7\sqrt{8} }{8}. Let's finish this by simplifying it. \sqrt{8} =2\sqrt{2} (2x2^{2}). We can simplify it further by simplifying the 2, making it \frac{-7\sqrt{2} }{4}.

Hope this wasn't too confusing! I'll answer any questions.

8 0
3 years ago
Read 2 more answers
For the function f(x)=x^2-5x+6, where is the y-intercept?
Jlenok [28]
I believe the answer is 6
5 0
3 years ago
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