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muminat
3 years ago
11

At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's

play, 125 tickets were sold, totaling $1,140. Which system of equations correctly represents this situation where a represents the number of adult tickets sold for Saturday night's play and c represents the number of child tickets sold?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
Ithe answer is 1.499495
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3/4 (4x+8)=-12. Distributive property
Scrat [10]

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

7 0
3 years ago
Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her
Whitepunk [10]

The cost of each option is given by the total amount required to obtain

the volume of water Janine drinks in a year.

Responses:

  • The cheapest option is the <u>faucet-mounted water filter</u>
  • The cheapest option saves her <u>$79.11 </u>over a year

<h3>How are the different options evaluated?</h3>

Number of bottles of water Janine drinks in a day = 3 bottles

Volume of a bottle = 16.9 ounces

Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5

Volume of water Janine drinks in a year = 18,505.5 ounces

Volume of water = 18,505.5 ounces = 547.273 liters

The cost of 24-packs of 16.9 ounces bottles = $3.29

Number of packs she will buy in a year is therefore;

Number \ of \ packs= \dfrac{3 \times 365}{24} = \mathbf{45.625}

Cost per year = 45.625 × $3.29 ≈ $150.11

The cost of a reusable bottle = $10

Cost of each option to filter 547.723 liters of water.

Total cost of a faucet mounted filter = $10 + $28 + $33 = $71.00

Total cost using the water filter = $10 + $22 + 2 × $20 = $72

The cost of using the under sink filter = $10 +  $130 = $140

Therefore;

  • The cheapest option over one year is the <u>faucet-mounted filter</u>
  • The amount saved over one year = $150.11 - $71.0 = <u>$79.11</u>

Learn more about total cost here:

brainly.com/question/25331750

8 0
2 years ago
Which of the following functions has a lower bound but no upper bound?
svp [43]

Answer:

C. 1/x

Step-by-step explanation:

Sana nakatulong

6 0
3 years ago
2(y+7)=46 Solve for y. Simplify equation as much as possible
Marianna [84]

Answer:

y=16

Step-by-step explanation:

2(y+7)=46

2y+14=46

    -14  -14

2y=32

2y/2 = 32/2

y = 16

5 0
3 years ago
Read 2 more answers
2 + x = 19<br> what does x equal
murzikaleks [220]

Answer:

x = 17

Step-by-step explanation:

2 + x = 19

Subtract 2 on both sides to isolate the variable

2 - 2 + x = 19 - 2

x = 17

Check

We can check by distributing the "x" with 17 since thats what we got as the value.

2 + x = 19

2 + 17 = 19

19 = 19

CORRECT

Hope this helped!

Have a supercalifragilistix = 17cexpialidocious day!

3 0
3 years ago
Read 2 more answers
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