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Agata [3.3K]
3 years ago
9

PLEASE HELP ME!

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

54


Step-by-step explanation:

Let number of adult tickets sold be a

Let number of children tickets sold be  c


<u>139 tickets were sold:</u>

we can write:

a+c=139


<u>a total sales of $972.00:</u>

we can write:

5.4c+9.5a=972


Now solving for c in the first equation and substituting that into 2nd equation, we can solve for a, what we need. So:

c=139-a\\-------\\5.4c+9.5a=972\\5.4(139-a)+9.5a=972\\750.6-5.4a+9.5a=972\\-5.4a+9.5a=972-750.6\\4.1a=221.4\\a=54


Hence 54 adult tickets were sold.



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What is the difference between 20 and -60
zalisa [80]

Answer:

80

Step-by-step explanation:

The "difference" means the answer using subtraction. Subtract -60 from 20 to find the different between the two numbers.

20 - (-60)       When you have two minus signs, it become a plus sign.

= 20 + 60        Add

= 80        Difference between the numbers

Could you do it backwards? Subtract 20 from -60? Yes, but since the difference between two numbers will always be a <u>positive number</u>, you need to use absolute value symbols.

| -60 - 20 |        Do -60 -20 first

= | -80 |        Apply the absolute value of -80 (make the number positive)

= 80        Difference between the numbers

You do not have to put absolute value if you do 20 - (-60), but you can. For -60 -20, you must use them.

Therefore, the difference between 20 and -60 is 80.

6 0
3 years ago
A car is traveling at a speed of miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the ca
mihalych1998 [28]

Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

<em>A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.</em>

<em>Answer:</em>

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

<em>Fetching data from Question:</em>

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

<em>a) How many miles a car will travel in one hour?</em>

<em>b) How many miles will the car travel in 4 hours?</em>

<em>Calculation:</em>

<em>a) How many miles a car will travel in one hour?</em>

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

                      i.e. 60/1.6 = 37.5 miles per hour  

So, the car will travel 37.5 miles in one hour.

<em>b) How many miles will the car travel in 4 hours?</em>

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

                                 The distance =  speed × time

                                                        =  37.5  × 4

                                                        =  150 miles

So, the car travel 150 miles in 4 hours.

<em />

<em>Keywords: distance, speed, kilometers, miles</em>

<em> learn more about distance travel and speed from brainly.com/question/12580265 </em>

<em> #learnwithBrainly</em>

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Triangle abc is similar to triangle FGH solve for p plebs.
12345 [234]

The value of <em>p </em>is 21

Step-by-step explanation:

ΔABC ~ ΔFGH

\frac{ab}{fg}  =  \frac{bc}{gh}  \\  \frac{35}{p}  =  \frac{10}{6}  \\ p =  \frac{35 \times 6}{10}  \\ p =  \frac{210}{10}  \\ p = 21 \\  \\ or \\  \\  \frac{ab}{fg}  =  \frac{ac}{fh}  \\  \frac{35}{p}  =  \frac{30}{18}  \\ p =  \frac{35 \times 18}{30}  \\ p =  \frac{630}{30}  \\ p = 21

So, the value of <em>p</em> is 21

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be
drek231 [11]

Answer:

Step-by-step explanation:

<h3>Solving linear equation with one variable:</h3>

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        Add 4 to both sides

      -4 + 3x + 4 = 4x - 8 +  4

               3x     = 4x - 4

Subtract 4x from both sides,

        3x - 4x = -4x + 4x - 4

              -x   = -4

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Add 8 to both sides

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Divide both sides by (-5)

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                 \sf \boxed{\bf x = -2}

3) 12r - 14 = 5(2-r)

    12r - 14 = 5*2 - 5*r

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Add 14 to both sides

 12r - 14 + 14 = 10 - 5r + 14

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Add 5r to both sides

        12r + 5r = 24

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Divide both sides by 17

                 r = 24/17

4) 3x - 8 = -(17 + 2x)

  3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

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Add 2x to both sides

      3x + 2x = -9

            5x  = -9

Divide both sides by 5

              \sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}

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2 years ago
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