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Lana71 [14]
3 years ago
5

A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of

2 yards per second. He sprints the last part of the field at a rate of 4 yards per second. If the whole run takes 40 seconds, what is the fraction of the length of the field that the runner covers during the second sprint?
Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

\frac{2}{5}th part of the field is covered in the second sprint.

Step-by-step explanation:

A football player is running the length of a 100 yard long football field.

Let player sprints x yards with the speed = 2 yards per second.

So time taken to cover x yards player will take time = \frac{x}{2} seconds

Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = \frac{Distance}{Speed}

= \frac{100-x}{4} seconds

Now total time taken by the player can be represented by the equation

\frac{x}{2}+\frac{100-x}{4}=40

Now we can solve this equation for the value of x.

\frac{2x+100-x}{4}=40

x + 100 = 40×4

x + 100 = 160

x = 160 - 100 = 60 yards

And length of the second part will be = 100 - 60 = 40 yards

Now the fraction of the field covered by the player in second sprint will be

= \frac{40}{100}

= \frac{2}{5} or 40%

Therefore, \frac{2}{5}th part of the field was covered in second sprint.

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We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)


1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂) 
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m=(y₂-y₁) / (x₂-x₁)

In this case:
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m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.
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3 0
3 years ago
.
jarptica [38.1K]

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

100\%=100/100=1

20\%=20/100=0.20

60\%=60/100=0.60

we know that

(1)(x)+(0.20)(3)=(0.60)(x+3)

solve for x

x+0.60=0.60x+1.80

x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in  order to get a 60% acid solution

7 0
3 years ago
What is .2 repeating, 1/5, .02 from least to greatest
Vlad1618 [11]

Answer:

.02, 1/5, .2 repeating

Step-by-step explanation:

.02

1/5 = 0.2                (Simply divide 1 by 5)

.2 repeating




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3 years ago
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This question is tricky.

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4 0
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• Yogi is planning a concert for his animal friends. He arranges his chairs and if he makes 8 rows he was
qaws [65]

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

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