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fomenos
2 years ago
12

A concert hall sells half price tickets to members of the armed forces. For a concert last week, the hall sold 300 tickets altog

ether and 50 of the were to members of the armed forces. Altogether, they made $6050. What is the normal ticket price? (Without the military discount)
Mathematics
1 answer:
djverab [1.8K]2 years ago
8 0

Answer:

The normal ticket price is \$22

Step-by-step explanation:

Let

x------> the normal ticket price

we know that

The linear equation that represent this situation is

(300-50)x+(50)\frac{x}{2}=6,050

Solve for x

(250)x+(25)x=6,050

(275)x=6,050

x=6,050/275=\$22

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Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio. She sold a th
Licemer1 [7]

Given :

Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.

She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.

To Find :

What is Prema’s profit in 2009 and 2010.

Solution :

Price of one third ounces of gold, in 2005 is :

P = $414/3 = $138 .

Profit from selling them in 2009 is :

P1 = $(953 - 138) = $815 .

Profit from selling them in 2010 is :

P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .

Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.

Hence, this is the required solution.

5 0
2 years ago
Guys pls help me!!!!!
KiRa [710]
I think c, 36 cubic feet. I’m not sure though
8 0
3 years ago
Find the unit rate.<br> 5/8 ounce per 1/4 pint
Katena32 [7]

Answer: 2.5 ounces/ pint

You can firstly turn your fractions into decimals 5/8 is equal to .625 and 1/4 is .25

Then you can divide .625 by .25 which is 2.5, So the unit rate is 2.5 ounces per pint.

4 0
3 years ago
Suppose that 10 people, including you and a friend, line up for a group picture. How many ways can the photographer rearrange th
slamgirl [31]

Answer:

483 840 ways

Step-by-step explanation:

Let you and your friend be A and B.

With three people always between you two,, we have

Case 1: AxxxBxxxxx

Case 2: xAxxxBxxxx

Case 3: xxAxxxBxxx

Case 4: xxxAxxxBxx

Case 5: xxxxAxxxBx

Case 6: xxxxxAxxxB

So there is 6 ways of arranging you two through the line and for each of the six cases,

If you two remained in your positions, the rest can be arranged in 8! ways

Also for each case, you two can interchange your positions in 2! ways

Therefore,

The photographer can rearranged the line keep three people between you an your friend in

8! * 2! * 6 = 483 840 ways

7 0
2 years ago
The perimeter of a rectangle garden is 54yd. One side has a length of 15 yd. Find the area of the garden.
Lelechka [254]

Answer:

=》Area = 180 sq.yd

Step-by-step explanation:

perimeter = 2l + 2b

where, we have l = 15

  • so (2×15) + 2b = 54
  • 30 + 2b = 54
  • 2b = 24
  • b = 12

now, Area = l × b = 12 × 15 = 180 sq.yd

5 0
2 years ago
Read 2 more answers
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