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gladu [14]
2 years ago
15

a movie theater sold a total of 148 students tickets and adult tickets. each student ticket cost 6$ and each adult tickets cost

9$. if the movie theater made 1,188$ , how many adult tickets did they sell
Mathematics
1 answer:
LiRa [457]2 years ago
3 0
Let A= adult tickets and S= student tickets
A+S=148
9A+6S=1,188
You can plug into a calculator or by hand is shown below
-6(A+S)=-6(148) Checking the answer
-6A-6S=-888 A=100
+ 100+S=148
9A+6S=1,188 S=48
——————— 9(100)+6(S)=1,188
3A+0S=300 900+6S=1,188
1/3(3A)=1/3(300) 6S=288
A=100 S=48

And to check is on the right side
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Step-by-step explanation:

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3 years ago
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12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely
AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 6 a b^{2}(a+2)(2 a-1)

<u>Solution:</u>

Given, expression is 12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

We have to factorize the given expression completely.

Now, take the expression

12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

Taking b^2 as common term,

b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)

Taking "a" as common term,

b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)

Taking "6" as common term,

b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)

Splitting "3a" as "4a - a" we get,

b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)

\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}

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3 years ago
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stiv31 [10]

Answer:

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Step-by-step explanation:

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3 years ago
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Oduvanchick [21]
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3 0
3 years ago
Determine the temperature of 2.6 moles of gas contained in a 5.00-L vessel at a pressure of 1.2atm.
strojnjashka [21]

Answer:

28.108 K.

Step-by-step explanation:

Given: Pressure (P)= 1.2atm

           Number of moles (n)=  2.6 moles

           Volume (V)= 5.00-L

Now finding the temperature (T).

Formula; T= \frac{P\times V}{n\times R}

R is a constant factor which makes other factors work together.

There is a numerical value for R which we use is 0.0821 \times \frac{L.atm}{mole.K}

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