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Oliga [24]
3 years ago
9

Mrs Dang drove her daughter to school at the average speed of 45 miles per hour. She returned home by the same route at the aver

age speed of 30 miles per hour. If the trip took one half hour, how long did it take to get to school? How far is the school from their home?
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer: Time it took her to get to the school is 0.6 hours

The distance of the school from their home is 27 miles

Step-by-step explanation:

Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.

Let x miles = distance from the school to their home.

Distance = speed × time

Time = distance / speed

Time used in going to school will be

x/45

She returned home by the same route. This means that distance back home is also x miles.

She returned at an average speed of 30 miles per hour.

Time used in returning home from school will be x/30

x/45

If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore

x/30 + x/45 = 1.5

(15x + 10x) /450 = 1.5

15x + 10x = 450 × 1.5 = 675

25x = 675

x = 675/25 = 27

Time it took her to get to the school will be x/45

= 27/45 = 0.6 hours

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Give a set of five integers, two positive and three negative, for which the mean, median, and mode are all -3
koban [17]
That's 5 integers...

Logic tells me that a number divided by 5 should be equal to -3. -15/5 is in fact equal to -3.

Let's find 5 integers (two positive and three negative) when added up together equal -15.

-14, -3, -3, 2, 3.

[(-14)+(-3)+(-3)+2+3]/5 = (-15)/5 = -3

Mean = -3

----------

Now let's put these numbers in order, from lowest to highest - then pick out the middle value...

-14, -3, [-3], 2, 3

The median turns out to be -3.

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Let's look at the numbers once again...

-14, -3, -3, 2, 3

It turns out that -3 appears the most, therefore -3 is the mode too.
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3 years ago
What is 98765432-1? Really appreciate you helping me get rid of my points!
larisa [96]

Answer:

98765431 is the answer

Step-by-step explanation:

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3 years ago
A baby giraffe measures 6 feet tall when it is
Anni [7]

Answer:

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3 years ago
How would I go about solving this?
garik1379 [7]
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8 0
3 years ago
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find
VARVARA [1.3K]

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

  • mROP = 125°
  • ∠ROP is a central angle

Then:

  • measure of arc RP, mRP = mROP = 125°

Given that

  • ∠QOS and ∠ROP are vertical angles

Then:

  • mQOS = mROP = 125°
  • measure of arc QS, mQS = mROP = 125°

Given that

  • ∠QOR and ∠SOP are vertical angles

Then:

  • mQOR = mSOP

Given that

  • The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

  • measure of arc QR, mQR = mQOR = 55°
  • measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

6 0
3 years ago
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