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3 years ago

Wht is the sum of 3b/b+2and12

1 answer:

5 0

$\frac{3b}{b + 2} + 12 = \frac{3b}{b + 2} + \frac{12(b + 2)}{1(b + 2)} = \frac{3b}{b + 2} + \frac{12b + 24}{b + 2} = \frac{15b + 24}{b + 2} = \frac{3(5b + 8)}{b + 2}$

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A theatre group sold a total of 440 tickets for a show, making a total of $3940. Each regular ticket cost $5, each premium ticke

valentina_108 [34]

Answer: 330 regular tickets, 46 premium tickets and 64 elite tickets were sold.

Step-by-step explanation:

Let x represent the number of regular tickets that were sold.

Let y represent the number of premium tickets that were sold.

Let z represent the number of elite tickets that were sold.

The theatre group sold a total of 440 tickets for the show. It means that

x + y + z = 440- - - - - - - - - -1

Each regular ticket cost $5, each premium ticket cost $15, and each elite ticket cost $25. The total amount made from the show was $3940. It means that

5x + 15y + 25z = 3940- - - - - - - - - 2

The number of regular tickets was three times the number of premium and elite tickets combined. It means that

x = 3(y + z)

x = 3y + 3z

Substituting x = 3y + 3z into equation 1 and equation 2, it becomes

3y + 3z + y + z = 440

4y + 4z = 440- - - - - - - - - - - - -3

5(3y + 3z) + 15y + 25z = 3940

15y + 15z + 15y + 25z = 3940

30y + 40z = 3940 - - - - - - - - - - 4

Multiplying equation 3 by 10 and equation 4 by 1, it becomes

40y + 40z = 4400

30y + 40z = 3940

Subtracting, it becomes

10y = 460

y = 460/10

y = 46

Substituting y = 46 into equation 3, it becomes

4 × 46 + 4z = 440

184 + 4z = 440

4z = 440 - 184

4z = 256

z = 256/4

z = 64

x = 3(y + z) = 3(46 + 64)

x = 330

4 0

3 years ago

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. URGENT

Bad White [126]

Answer:

-39+5(-41)=244

Step-by-step explanation:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

= -39+5(-41)=244

Hope this helps, have a nice day/night! :D

5 0

2 years ago

A carpenter has a piece of wood that is 78 inches long. He wants to cut it so that one piece is five times as long as the other

Lyrx [107]

Answer:

13 and 65

Step-by-step explanation:

x + 5x = 78

(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)

6x = 78

x = 78 / 6

x= 13

(to counter check: 13 * 5 = 65.

65 + 13 = 78 )

7 0

3 years ago

Read 2 more answers

yan [13]

Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

5 0

2 years ago

I Need Help Please with this problem

goldenfox [79]

ΔACD is similar to ΔBCD by AA similarity theorem

AD/AC = BD/BC

x/5 = 4.2/6

6x = 21

x = 3.5

Hope this helps! ;)

3 0

3 years ago