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Nat2105 [25]
4 years ago
11

If you were given the following scores for math classes, calculate the student's GPA using a standard 4.0 scale. Round to the hu

ndredths place.
Mathematics
1 answer:
Whitepunk [10]4 years ago
8 0

Answer:

Where are the scores.

Step-by-step explanation:

4i5itnj4jrjrr

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PLZZ HELP: A runner, training for a competition, ran on a track every day for 10 weeks. The first week he ran 8 kilometers each
Alekssandra [29.7K]

Answer:


Step-by-step explanation:

The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.

If we look in column E, we can see that it would take her 45 minutes to run 6 miles.

If we look in column B, we can see that she could run 2 miles in 15 minutes.

If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.

If we look in column C, we can see that her pace is 7.5 minutes per mile.

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5minutesmile×6 miles=45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

hope it helps


4 0
3 years ago
A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend
Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b²  + (5 + x)²...............(1)

using similarity of triangle

\dfrac{x}{6}=\dfrac{5+x}{b}

b=\dfrac{5+x}{x}6

from equation (1)

L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2

     = (5+x)^2(1+\dfrac{36}{x^2})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})

for maxima or minima

\frac{\mathrm{d} L^2}{\mathrm{d} x}=0

x = -5 and x =  ∛190  = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0
3 years ago
Convert to a mixed number (-2.2)(4.1)(4)
dimulka [17.4K]

-35 and 42/100........................................

5 0
4 years ago
Buses on your route run every 11 minutes from 7 AM to 11 AM arrive at the bus stop at 8:18 AM how long will you wait for a bus
Vlada [557]
Your sentence is not complete.  Please proofread your questions before sharing them.  

I think you meant:
 
"<span>Buses on your route run every 11 minutes from 7 AM to 11 AM.  YOU arrive at the bus stop at 8:18 AM how long will you HAVE TO wait for a bus?"

Let's try this:

First bus arrives at 7 a.m.  The next one arrives at 7:11, the next at 7:22, the next at 7:33, the next at 7:44, the next at 7:55, the next at 8:06, the next at 8:17, and the next at 8:28.  You'll have to wait 10 minutes for the 8:28 bus.</span>
6 0
4 years ago
Which number is prime? 21 22 23 24
Artemon [7]

Answer:

23 is the prime number

How?

▶

<u>21 is divisible by 3</u>

<u>21 is divisible by 322 is divisible by 2</u>

<u>21 is divisible by 322 is divisible by 223 is not divisible by any no. </u>

<u>21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2 </u>

5 0
4 years ago
Read 2 more answers
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