They bought 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Cost of one orchestra seat = $42
Cost of one mezzanine seat = $25
No. of people = 14
Amount spent = $486
Let,
x be the number of orchestra seats
y be the number of mezzanine seats
According to given statement;
x+y=14 Eqn 1
42x+25y=486 Eqn 2
Multiplying Eqn 1 by 25;

Subtracting Eqn 3 from Eqn 2 to eliminate y;

Dividing both sides by 17

Putting x=8 in Eqn 1

They bought 8 orchestra seats and 6 mezzanine seats.
Keywords: linear equation, elimination method
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4.2 +c = 8.1
c = 8.1 -4.2 = 3.9 . . . . subtract 4.2 from both sides
a.) 3.9 liters . . . . . is the appropriate choice
The total amount Sam will pay in all will be $2,400,000
<h3>Simple interest </h3>
From the question, we are to determine the interest Sam pays in all
Using the simple interest formula,
I = PRT
From the given information,
P = $2,000,000
R = 5% = 0.05
T = 4
Putting the parameters into the formula,
I = $2000000 × 0.05 × 4
I = $400000
The interest Sam will pay is $400,000
The total amount Sam will pay in all will be $2,000,000 + $400,000
= $2,400,000
Hence, the total amount Sam will pay in all will be $2,400,000
Learn more on Simple interest here: brainly.com/question/16134508
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An = -2n(n + 3)
a(15) = -2(15)(15 + 3) = -30(18) = -540
Answer:
No,
is greater than
.
Step-by-step explanation:
The two fractions to be compared are given as:
and 
Now, in order to compare them, we need to make the denominator same for both the fractions and then compare their numerators.
LCD of 50 and 5 is 100. So, we try to make each denominator 100 and change the numerator accordingly.
We multiply the first fraction by
and we multiply the second fraction by
as given below:

Now, the two new fractions are
and
.
Now, we check the numerators. The numerator that is larger among the two has the greater fraction value.
Here, 80 is greater than 24. So, fraction
is greater than
or
is greater than
.