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BabaBlast [244]
3 years ago
5

a bike race is 6 miles long by noon tammy had ridden 3/4 of the distance. at this rate how long will it take her to finish the r

ace.
Mathematics
1 answer:
Tasya [4]3 years ago
4 0
The racer take 4 hours (between 8:00 to 12:00) to race 3/4 of 6 miles

3/4 of 6 miles = 18/4 = 4.5 miles

4 hours ⇒ 4.5 miles
1 hour ⇒ 4.5 ÷ 4 = 1.125 miles

The time taken to complete 6 miles = 6 ÷ 1.125 = 16/3 hours = 5.3 hours


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What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
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s2008m [1.1K]

Answer:the repair shop is 5km from her house.

Step-by-step explanation:

Let x represent the distance of the repair shop from her house.

Let y represent Emily's speed when riding.

Distance = speed × time

It took Emily 25 min to ride her bike to the repair shop. Converting 25 min to hours, it becomes 25/60 = 5/12 hours.

Distance covered,

x = y × 5/12 = 5y/12

It took her 1h 15 min to walk back home. Converting to hours, it becomes 1 + 15/60 = 1 1/4 = 5/4

If she can ride her bike 8km/h faster than she can walk, it means that her speed while walking would be y 8 8

Therefore,

Distance covered,

x= 5/4(y - 8) = (5y - 40)/4

Since the distance remains the same, then

5y/12 =(5y - 40)/4

Crossmultiplying, it becomes

5y × 4 = 12(5y - 40)

20y = 60y - 480

60y - 20y = 480

40y = 480

y = 480/40 = 12

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Amanda lives in Fairbanks Alaska she records the low temperature for five days, which days low temperature was 9c colder than th
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Answer: all of them they are negitive numbers

Step-by-step explanation:

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Misha Larkins [42]

\\ \sf\longmapsto L-M

  • Put values

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Just substract corresponding terms

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3 years ago
Use The Scale Factor 1:12 To Find The Missing Dimension
adell [148]

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

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That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

1\ ft=12\ in

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1 inch in the model represent 1 ft in the actual

The scale factor is

\frac{1}{1}\ \frac{in}{ft}

therefore

21 ft in the actual represent 21 inches in the model

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