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Ierofanga [76]
2 years ago
12

runs 5 laps in 30 minutes, denise runs 4 laps in 20 minutes, paola runs 6 laps in 40 minutes. if they run at a constant rate, wh

o is the fastest runner?
Mathematics
1 answer:
asambeis [7]2 years ago
3 0
Denise is the fastest runner. 40 divided by 6 is 6.666 repeating 30 divided by 5 is 6 and 20 divided by 4 is 5 therefore denise is fastest
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Children's tickets to a local play cost $\$1.50$ less than adult tickets. At one performance 325 children tickets and 175 adult
svetoff [14.1K]

Answer:

  $8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

__

<h3>setup</h3>

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

  a - c = 1.50 . . . . . . . adult tickets are $1.50 more

  175a +325c = 3512.5 . . . . . total revenue from ticket sales.

__

<h3>solution</h3>

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

  c = a -1.50

Substituting that into the second equation, we have ...

  175a +325(a -1.50) = 3512.50

  500a -487.50 = 3512.50 . . . . . . simplify

  500a = 4000 . . . . . . add 487.50

  a = 8 . . . . . . . . . divide by 500

An adult ticket costs $8.

5 0
1 year ago
What's 1.6 rounded to the nearest tenth
dem82 [27]
Are there anymore numbers after the six? If there is not then it si already rounded to the nearest tenth.
7 0
3 years ago
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What is the number for PI?​
DerKrebs [107]
3.14

This is typically what you would use but there are several other numbers after 3.14
3 0
3 years ago
3x-8=3(x-4)+1 plz plz help me fast is it infinite or no or one solution
Gemiola [76]

Answer:

no solution

Step-by-step explanation:

solve the equation

3x - 8 = 3(x-4) + 1    

3x - 8 = 3x - 11

3x + 3 = 3x

x + 3 = x

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5 0
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bulgar [2K]

Answer:

x = 2.03 cm

Step-by-step explanation:

opposite/hypotenuse = siny

opposite, x = sin(72) * 8

opposite, x = 2.03 cm

5 0
2 years ago
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