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Bumek [7]
3 years ago
11

Sara watched the pump at the gas station dispense gas at a rate of ½ gallon every 3 ¼ seconds. How long will it take, in seconds

, to put 50 gallons of gas in the RV? Justify your reasoning by using the UNIT RATE
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0
Let us start with the time it takes for 1 gallon of gas to be dispensed. If ½ gallon takes 3 ¼ seconds, it will take double of that time for one gallon of gas. Double of 3 <span>¼</span> seconds is 6 1/8 seconds. Unit rate is 1 gallon of gas at every 6 1/8 seconds If one gallon of gas takes 6 1/8 seconds, 50 gallons will take 50 x 6 1/8 seconds. That is, 325 seconds or 5 minutes ans and 25 seconds.
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A small box of oranges costs $9 and weighs 12 pounds. A large box of oranges costs $18 and weighs 30 pounds. Right now one of th
jeka94

Answer:

See Below

Step-by-step explanation:

Small Box:

9 dollars for 12 pounds

Per pound cost is:

9/12 = $0.75 per pound

Large Box:

18 dollars for 30 pounds

Per pound cost is:

18/30 = $0.60 per pound

Better deal is large box.

To make the deals same, we can change the number of pounds in the large box. We can lessen it so it becomes the same ratio as dollars to pound.

Small box was

9 to 12

Large box is 18 dollars to WHAT?

18 is double of 9 so, "WHAT" should be double of 12, which is:

12 * 2 = 24

So, we can change large box "30" pounds to "24" pounds.

So, the ratio becomes (cost per pound):

18/24 = $0.75 per pound (same)

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3 years ago
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Answer:

put the answers in order and then the middle number is the mean

Step-by-step explanation:

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Answer:

y = 12     x = 12√2     z  = 12√3

Step-by-step explanation:

The 45° triangle will also have a height of y so....

    y² + y² = x²          2y²  = x²     y² = x²/2       y = √(x²/2)

The 30°  triangle

    y² + z² = 24²                          y² = 24² - z²          y = √(24² - z²)

                               

sin 30 = y/24          1/2 = y/24      y = 12    

          y² = x²/2

         12² = x²/2²

    2(144)  = x²         x = √(288)       x = 12√2  

      y² + z² = 24²

           z² = 24² - y²

           z² = 24² - 12²

           z² = 576 - 144

            z² = 432      

                =  √(16·9·3)

            z  =  4·3√3

            z  = 12√3

     y² + z² = 24²

    12² + (12√3)² = 24²

    144 + 144·3    =   576

     2y²  = x²

     2(12)²  = x²

      288  =  (12√2)  = 144·2  = 288

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