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8090 [49]
2 years ago
12

PLEASE HELP ASAP

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
6 0
1. The area of the photograph is:
 
 A=LxW
 
 A is the area of the photograph (A=54 in²).
 L is the lenght of the photograph (L=12-4x).
 W is the widht of the photograph (W=12-2x)
 
 2. When you substitute these values into the formula A=LxW, you obtain:
 
 A=LxW
 54=(12-4x)(12-2x)
 
 3. When you apply the distributive property, you have:
 
 54=144-24x-48x+8x²
 8x²-72x+144-54=0
 
 4. Finally, you obtain a quadratic equation for the area of the photo:
 
 8x²-72x+90=0
 
 5. Therefore, the answer is:
 
 8x²-72x+90=0

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University Theater sold 556 tickets for a play. Tickets cost $22 per adultand $12 per senior citizen. If total receipts were $84
lawyer [7]
To find the answer, set up a system of equations.

Let x=adult tickets and y=senior citizen tickets.

x+y=556
22x+12y=8492

Change the first equation to make it easy to combine with the second equation.

y=556-x

Now substitute (556-x) for y in the second equation.

22x+12(556-x)=8492

Simplify and combine like terms.

22x+6672-12x=8492
10x=1820
x=182

182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.

556-182=374

374 senior citizen tickets were sold.
4 0
3 years ago
Subtract-3x - 8 from 4x² - 7x - 2.
allsm [11]

( {4x}^{2}  - 7x - 2) - (3x - 8) \\  \\  {4x}^{2}  - 7x - 2 - 3x + 8 \\  \\  {4x}^{2}  - 10x + 4.

3 0
1 year ago
Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v
Crank

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... <em>si cada uno de ellos hicieron una contribución de </em><em>dieciseis</em><em> pesos...</em>

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x =  y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 =  $14.8, then they would get altogether the exact cost of the trip

7 0
2 years ago
9x-7=-7 how do you solve this problem
borishaifa [10]
<span>9x-7=-7 
You would add 7 to both sides because you want to get to the point were your variable is alone. 9x = 0 Then you would dicide each side by 9 because after doing this your variable would be alone. x = 0 would be your final answer. 

YA BOIIIIIIIIIII, DEADPOOL IN THE HOUSE!

-Gives you a thumbs up- </span>
3 0
3 years ago
Read 2 more answers
Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.
Burka [1]

Answer:

60.32

Step-by-step explanation:

126%=1.26

60.32*1.26=76.0032

76.0032≈76

7 0
2 years ago
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