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3 years ago

Jan ran three times as far as Millie. Jan also ran 12 more miles than Millie. How far did Jan run?

Mathematics

2 answers:

Pie3 years ago

8 0

12 miles Jan ran so this is the answer hope you like ot

BigorU [14]3 years ago

4 0

Answer:

He ran 3 miles

Step-by-step explanation:

12 / 4 = 3 mi

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I need the work and answer. Please and thank you

AlladinOne [14]

Answer:

11.1

Step-by-step explanation:

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7 0

3 years ago

Find dy/dx and d2y/dx2. x = cos(2t), y = cos(t), 0 < t < π

pogonyaev

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

$y=\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$x=\cos2t\implies\dfrac{\mathrm dx}{\mathrm dt}=-2\sin2t=-4\sin t\cos t$
$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-\sin t}{-4\sin t\cos t}=\dfrac14\sec t$

Let $z=\dfrac{\mathrm dy}{\mathrm dx}$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}=\dfrac{\frac{\mathrm dz}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$
$\implies\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac{\mathrm d}{\mathrm dt}\left[\frac14\sec t\right]}{-4\sin t\cos t}=\dfrac{\frac14\sec t\tan t}{-4\sin t\cos t}=-\dfrac1{16}\sec^3t$

4 0

4 years ago

Lucia deposits $44.60 into her bank account on Tuesday Morning. Tuesday afternoon, she withdraws to $26.30 and $21.30. Does Luis

dexar [7]

Answer:

Less than

Step-by-step explanation:

Using the data from the question, we can create the following equation to solve this...

44.60 - (26.30 + 21.30) = x

44.60 - (47.60) = x

-3 = x

As you can see Lucia withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit. This can all be seen using the above equation which is designed.

8 0

3 years ago

The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

Simora [160]

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

As the price rises 45, the days increase by 3
Slope = rise/run
Slope = 45/3
Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

y = mx + b
45 = 15(1) + b
45 = 15 + b
30 = b

The base price (b) is 30.

The equation is $\text{\boxed{c = 15d + 30}}$

6 0

2 years ago

What is 15% of $79.99?

Katen [24]

Answer:

11.9985

Step-by-step explanation:

79.99 x .15 = 11.9985

7 0

3 years ago

Read 2 more answers