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pishuonlain [190]
2 years ago
14

david drove 70 miles in the first 1.75 hours of his trip. how much longer should it take him to drive an additional 120 miles if

he drives at the same average speed?
Mathematics
1 answer:
sergejj [24]2 years ago
4 0

Answer:

  3 hours

Step-by-step explanation:

Since the speed is remaining the same, time is proportional to distance, so you have ...

  1.75 hours/(70 miles) = (additional hours)/(120 miles)

Multiply by 120 to find the additional hours:

  additional hours = (120/70)·(1.75 hours) = 3 hours

_____

Units of miles cancel from numerator and denominator of (120 miles)/(70 miles).

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The price of a recipe-book was reduced from $24.50 to$17.95. If p represents the percent decrease in price of the book, which pr
LuckyWell [14K]

Answer:

The required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

Step-by-step explanation:

Consider the provided information.

The price of a recipe-book was reduced from $24.50 to$17.95.

The original price is 24.50

Reduced price is 17.95.

Let p represents the percent decrease in price of the book.

\text{Percent decrease}=\frac{\text{Original price-Reduced price}}{\text{Original price}}\times 100

Now substitute the respective values in the above formula.

p=\frac{24.50-17.95}{24.50}\times 100

\frac{p}{100}=\frac{24.50-17.95}{24.50}

Hence, the required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

4 0
2 years ago
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either
Gala2k [10]

To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order.

If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median.<span>

While the Rome data is nice and symmetrical, it does not seem to have an outlier,  so we can use the mean for this data set.</span>

 

Therefore the answer is:

<span>The Rome data center is best described by the mean. The New York data center is best described by the median</span>

3 0
2 years ago
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The law of cosines is a^2+b^2-2abcosC=c^2. Find the value of 2abcosC.
polet [3.4K]
2ab x cos (C) = 7 because

a^2 + b^2 - 2ab x cos(C) = c^2
2ab x cos(C) = a^2 + b^2 - c^2
2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos (C) = 7
4 0
2 years ago
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A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours
Sliva [168]
\frac{5.4}{9} = \frac{25.8}{x}    Cross multiply.

5.4x=9*25.8

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x=43
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What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?
MrRa [10]

Answer:

Quotient: 2x^2+x-3

Please see the attachment.

Step-by-step explanation:

Given: (2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of 2x^4 by x^2

x^2-2x+1 ) 2x^4-3x^3-3x^2+7x-3 ( 2x^2+x-3

                 -2x^4+4x^3-2x^2

                              x^3-5x^2+7x

                               -x^3+2x^2-x

                                      -3x^2+6x-3

                                      3x^2-6x+3

                                              0

Hence, The quotient of division is 2x^2+x-3

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2 years ago
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