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Mathematics

1 answer:

Luda [366]3 years ago

4 0

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The science club purchased tickets for a magic show. They paid $108 for 6 tickets in section A and 10 tickets in section B.

san4es73 [151]

Let x is the price for one ticket in section A and y for section B.
In first week they paid $108 for 6 tickets in section A and 10 tickets in section B.
So,
6x + 10y = 108
And in the following week, they paid $104 for 4 tickets in section A and 12 tickets in section B.
So,
4x + 12y = 104
12y = 104 -4x
y= (104 -4x) /12
now, put this value for y in first equation
6x +10(104 - 4x / 12) = 108
multiplying all terms with 12
72x +10(104 -4x) = 1296
72x + 1040 -40x = 1296
32x = 256
x = 8
So, price for one ticket in section A is $8.

6 0

3 years ago

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2000 seats. The students

puteri [66]

Answer:

1340 students

Step-by-step explanation:

since the students left 33% of the seats open, that means they took up 67% of the seats.

67% is 0.67

0.67 * 2,000 = 1340

7 0

3 years ago

Transformation:rotation,reflection or translation?

sveta [45]

Answer:

Step-by-step explanation:

Counter clockwise 180 degree rotation

7 0

3 years ago

Keisha is solving the equation 7^x=9.

olganol [36]

$\bf \textit{Logarithm of exponentials}\\\\
log_a\left( x^ b \right)\implies b\cdot log_a(x)\\\\
-------------------------------\\\\
7^x=9\implies \boxed{log(7^x)=log(9)}\implies x\cdot log(7)=log(9)
\\\\\\
x=\cfrac{log(9)}{log(7)}$