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koban [17]
3 years ago
15

Kiran shops for books during a 20% off sale. Write an equation that relates the sale price, s, to the original price p.

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

s=p*.2

Step-by-step explanation:

.2 is 20 percent in decimal form

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Which statement about the following system is correct?
grigory [225]

D they do not intercect

8 0
3 years ago
Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run 1 hour simplify comepletly
Vikentia [17]

Remark

the question depends on d= r * t

d = the distance in miles.

r = the rate of travel in miles per hour

t = the time in hours.


Step One

Rearrange the formula so you are solving for the rate.


d = r * t Divide by t

4 5/6 = (4*6 + 5)/6 = 29/6


r = d / t


Step Two

Substitute into the equation.

r = \dfrac{\dfrac{29}{6}}{\dfrac{2}{3} }


Step Three

Turn the bottom fraction upside down. Multiply these two together.


r = \dfrac{29}{6} * \dfrac{3}{2}


r = 29/4 miles hour.


Step Four

Solve for d when t = 1 hour.


d = ??

r = 29/4 miles / hour

t = 1 hour.


d = 29/4 * 1

d = 29/4 miles


That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles


7 0
3 years ago
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Nikolay [14]

Answer: The required three consecutive odd integers are 7, 9 , 11.

Step-by-step explanation:

Let x , x+2 , x+4 be the three consecutive odd integers.

As per given ,  

10(x) = 59+x+4

⇒10x= 59+x+4

⇒ 9x= 63

⇒ x= 7   [ divide both sides by 7]

Hence, the required three consecutive odd integers are 7, 9 , 11.

7 0
2 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
during the 2015 nascar races, the car completed 371.5 laps around the track. During the 2016 race,the racers completed 378.925 l
grin007 [14]

Answer:

7.425 laps.

Step-by-step explanation:

That would be 378.925 - 371.5

= 7.425 laps,

7 0
3 years ago
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