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saul85 [17]
3 years ago
15

At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven stude

nts cost ​$93. Determine the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is ​$, and the price of a student ticket is ​$
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

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Look at the following sequence. 128, 320, 800, 2000, . . . If it is a geometric sequence, choose the common ratio. If it is not
OlgaM077 [116]

Answer:

It is a geometric sequence en the common ratio is: r=\frac{5}{2}.

Step-by-step explanation:

1. By definition, a geometric sequence is a sequence in which you obtain a term by multiplying the previous one by a common ratio.

2. The common ratio is obtained by dividing a term by its preceding term.

3. Keeping this on mind, you have:

\frac{320}{128}=\frac{5}{2}\\

\frac{800}{320}=\frac{5}{2}

\frac{2000}{800}=\frac{5}{2}

4. As you can see, the common ratio is \frac{5}{2}


3 0
3 years ago
Read 2 more answers
You invest $1,300 in an account that has an annual interest rate of 5%, compounded annually. How much money will be in the accou
KIM [24]

Answer:

A=Pe^rt

P= princible (1300)

e= (2.71828)- function on a graphing calculator

r = interest rate (.05 or 5%)

t = time (10 years)  

A = 1300e^.05(10)

A = 1300e^.5

A = 2143.337652

A = 2143

7 0
3 years ago
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Bolts are packed into bags at a factory. Each bag should have 25 bolts in it but a bad with 22 or 28 is acceptable. Formulate an
Viefleur [7K]

Answer:

Absolute value equation is; |x - 25| ≤ 3

Minimum number of bolts is 22 while Maximum number of bolts is 28

Step-by-step explanation:

We are told that;

Each bag should have 25 bolts in it but 22 or 28 is acceptable.

Since 22 or 28 is acceptable, it means the allowable error is ±3.

Thus, if x is the number of bolts in the bag, the absolute value equation would be;

|x - 25| ≤ 3

Minimum number of bolts is 22 while maximum is 28

6 0
3 years ago
PLEASE HELP ME ASAP!!!
rjkz [21]

Answer:

d) 7^{14}

Step-by-step explanation:

we simplify (7^{7})^{2} by doing 7 x 2 = 14

so it is now

7^{14}

to check, we can use a calculator.

7 to the power of 14 = 678223072849

and

7 to the power of 7, squared also = 678223072849

Hope this helps!

7 0
2 years ago
Help me with this problem like the whole thing
Ulleksa [173]
Has to multiply I think try that !
3 0
3 years ago
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