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Margaret [11]
3 years ago
5

a car traveling at a constant speed travels 175 miles in 4 hours? How many minutes will it take for the car to travel 1000 feet?

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

0.26 minutes

Step-by-step explanation:

So if you want to solve this, you need to make all the units the same first. What you first need to work on is the rate, since what it is asking is minutes given distance in feet.

We know that there are:

5280 ft in a mile

60 minutes in an hour

We then convert the rate knowing this:

\dfrac{174\:miles}{4\:hours}\times\dfrac{5280ft}{1\:mile}\times\dfrac{1hour}{60\:minutes} = \dfrac{918,720ft}{240\:minutes} = \dfrac{3828\:feet}{1 minute}

In short, the car is traveling 3,828 ft every minute.

To determine how many minutes it will take for the car to travel just remember that:

speed=\dfrac{distance\:travelled}{time}\;\rightarrow\;time=\dfrac{distance\;travelled}{speed}

Now we plug in what we know and solve what we don't know:

time=\dfrac{1000feet}{\dfrac{3828ft}{1minute}}\;\rightarrow\;1000ft\times\dfrac{1\:minute}{3828ft}=0.26\:minutes

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Dimas [21]

Answer:

x=5, -2/3

Step-by-step explanation:

3x^2-13x=10

3x^2-13x-10=0

factor out,

(3x+2)(x-5)=0,

zero property,

3x+2=0, x-5=0,

3x=0-2=-2

3x=-2, x=-2/3

x=0+5=5, x=5

7 0
3 years ago
Xsquare + 10x + 16 equals 0
inn [45]
X^2+10x+16=0

First, you find factors of 16.
1 x 16
2 x 8
4 x 4

Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.

Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.

x+2=0
-2 -2
x=-2

x+8=0
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So, your answers are x=-2 and x=-8. You can check by plugging in those two numbers as x.

7 0
3 years ago
A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
Gnoma [55]

Answer:

The lower quartile is Q_1=33 thousand dollars.

The median quartile is Q_2=39 thousand dollars.

The upper quartile is Q_3=45 thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by \frac{n+1}{2} where n is all scores in the data set.  

Because n = 10, the median position is \frac{10+1}{2}=5.5

The median is the average of the fifth and sixth positioned scores

Q_2=\frac{39+39}{2} =39

Step 3:  Compute \frac{n+1}{2} where n is all scores below Q_2.

For scores below Q_2, use only 23, 25, 33, 34, 39.

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_1=33

Step 4: Compute \frac{n+1}{2} where n is all scores above Q_2.

For scores above Q_2, use only  39, 44, 45, 48, 55

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_3=45

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Answer:

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Step-by-step explanation:

Add the numbers together, then divide that by the amount of numbers

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