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masya89 [10]
1 year ago
6

A marathon is 26.2 miles. If Sally ran a marathon in 3 hours and 3 minutes, what was her approximate pace?

Mathematics
1 answer:
ryzh [129]1 year ago
4 0
<span>A marathon is 26.2 miles which mean the distance = 26.2 miles
</span>
Sally ran a marathon in 3 hours and 3 minutes which mean the time taken to finish the marathon = 3 hours and 3 minutes
∴ distance = 26.2 miles 
time = 3 hours and 3 minutes = 3 + 3/60 = 3.05 hours
∴ <span>the approximate pace = speed = \frac{distance}{time}
</span>
∴ <span>the approximate pace = 26.2/3.05 ≈ 8.59 miles per hour
</span>

∴ The answer is <span>her approximate pace = 8.59 mile/h
</span>
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7 0
2 years ago
Tom went on a bike to the store 3 miles away. If it took Tom 1/2 of an hour to get there and 2/3 of an hour to get back , what w
anastassius [24]

Answer:

5.14 mi/h

Step-by-step explanation:

To find the average speed, we simply find the total distance traveled by Tom and divide that by the total time the entire journey took him.

Average speed = (total distance traveled) / (total time taken)

TOTAL DISTANCE TRAVELED

He traveled 3 miles to and 3 miles fro. Hence:

3 + 3 = 6 miles

TOTAL TIME TAKEN

He spent ½ hr to go and ⅔ hr to return back. Hence:

½ + ⅔ = 7/6 hr

Therefore, the average speed is:

v = 6 / (7/6)

v = 36 / 7 = 5.14 mi/h

Tom's average speed was 5.14 mi/h.

8 0
1 year ago
What is the product of 8x-3 and x2- 4x +8
Dmitriy789 [7]
A product is the answer that you get when you multiply numbers together. So for this problem, you have 2 groups to multiply together. Since I cannot show a square or cubed x, I will put an x2 for x squared and an x3 for x cubed. You have to multiply each number in the first parentheses by each number in the second parentheses. Then combine any like sets.

(8x-3)(x2-4x+8)
8x3-32x2+64x-6x+12x-24
8x3-32x2+70x-24

So the answer is 8x cubed minus 32x squared plus 70x minus 24. Whew! That's a long one. Hope I didn't miss anything.
5 0
1 year ago
6 Using data from 1988 for houses sold in Andover, Massachusetts, from Kiel and McClain (1995),
Nimfa-mama [501]

The study of explanatory or independent differences based on the dependent variable is a simple statistical method. The correlation between two variables is researched in which only the explanatory variable of them would be present, and the further discussion can be defined as follows:

For point (i):

  • The log(distances) seem to be optimistic, and their valuation is 0.312, which also means that the cost of a house will rise even as the distance increases.
  • In this, the certainly is what everybody expects the better the house from the sewage treatment is from a hygienic viewpoint.

For point (ii):

  • In this regard, we cannot use straightforward regression, even as non-biased price estimation might not even be provided.
  • The price-distance relationship here is not so much linear.

For point (iii):

  • Several factors influence the house's price, the biggest contributor is house length, market nearness or public areas, number of rooms, etc.
  • Thus the only influence is not the mere distance from the incinerator. It's one of the factors affecting housing pricing.
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Learn more:

brainly.com/question/19729277

5 0
1 year ago
What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)
Tom [10]

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

f(x)= 4-5x

Put x =0

f(0)= 4-5\times 0

f(0)= 4-0=4

Therefore the y-intercept of the function is 4.

7 0
1 year ago
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