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Scorpion4ik [409]
3 years ago
12

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam

e-day ticket is $35. For one performance, 40 advance tickets and 25 same-day tickets were sold. The total amount paid for the tickets was $1100. What was the price of each kind of ticket?
Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

Advance tickets-$15

Same-day tickets-$20

Step-by-step explanation:

let x be the cost of advance tickets and y cost of same-day tickets:

x+y=35\ \ \ \ \  \ \ ...i

Given that there were 40 advance and 25 same-day tickets for a total of $1100:

40x+25y=1100\\\\8x+5y=220\ \ \ \  \ \ \ \ \ \ \ ...ii

#Make x the subject in i and substitute in ii:

x=35-y\\\\\therefore 8x+5y=220, x=35-y\\\\8(35-y)+5y=220\\\\280-8y+5y=220\\\\60=3y\\\\y=20\\\\x=35-y=35-20=15

Hence, advance tickets cost $15 each while same-day tickets cost $20 each.

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Find the slope of the line that passes through (4, 5) and (6,4)
Dahasolnce [82]

Answer:

-1/2

Step-by-step explanation:

y2-y1       4-5           -1

--------- = --------  = --------

x2-x1        6-4         2

7 0
2 years ago
The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 c
scoray [572]

The Solution.

Representing the problem in a diagram, we have

By formula,

P=2(L+W)

In this case,

P=15\operatorname{cm},L=?,W=\frac{22}{8}cm

Substituting these values in the formula above, we get

15=2(L+\frac{22}{8})

Clearing the bracket, we get

15=2L+(2\times\frac{22}{8})\begin{gathered} 15=2L+\frac{11}{2} \\  \\ 15=2L+5.5 \end{gathered}\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}

Dividing both sides by 2, we get

L=\frac{9.5}{2}=4.75\approx4.8\operatorname{cm}

Therefore, the correct answer is option C.

6 0
10 months ago
A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student's w
iragen [17]

Answer:

The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third

Step-by-step explanation:

The student was wrong in his evaluation because the correct result should be 1 1/3 (one and one-third) and not 16 and one-third

The expression '1/3 more than the product of four and a number' means

(4g + 1/3)

Evaluating the expression when g = 1/4

You will have

4×1/4 + 1/3

= 1/1 + 1/3

Find the LCM of 1 and 3 and add

= (3+1)/3

=4/3

= 1 1/3

The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third

6 0
3 years ago
Read 2 more answers
What's the opposite of-2 2/3
Citrus2011 [14]
The oppiste of -2 2/3 is 2 2/3
6 0
3 years ago
Write "zero and eighty-two hundredths" as a decimal.
azamat

Answer:

0.82

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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