Answer:
number 1 is C number 2 is A and number 3 is D
Step-by-step explanation:
Answer:
<h2>y = 7/8x -1/2 </h2><h2>y = mx+b</h2><h2>m = slope</h2><h2>Slope = 7/8</h2>
Step-by-step explanation:
![(4,3)=(x_1,y_1)\\(-4,-4)=(x_2,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-3}{x-4}= \frac{-4-3}{-4-4}\\\\\frac{y-3}{x-4}=\frac{-7}{-8} \\-8(y-3) =-7(x-4)\\-8y +24=-7x +28\\-8y =-7x +28-24\\-8y = -7x +4\\Divde\:both\:sides\:of\:the\:equation\:by\: -8\\\\\frac{-8y}{-8} = \frac{-7x}{-8} +\frac{4}{-8}\\\\y = \frac{7}{8}x -\frac{1}{2}](https://tex.z-dn.net/?f=%284%2C3%29%3D%28x_1%2Cy_1%29%5C%5C%28-4%2C-4%29%3D%28x_2%2Cy_2%29%5C%5C%5C%5C%5Cfrac%7By-y_1%7D%7Bx-x_1%7D%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%20%5C%5C%5Cfrac%7By-3%7D%7Bx-4%7D%3D%20%5Cfrac%7B-4-3%7D%7B-4-4%7D%5C%5C%5C%5C%5Cfrac%7By-3%7D%7Bx-4%7D%3D%5Cfrac%7B-7%7D%7B-8%7D%20%20%5C%5C-8%28y-3%29%20%3D-7%28x-4%29%5C%5C-8y%20%2B24%3D-7x%20%2B28%5C%5C-8y%20%3D-7x%20%2B28-24%5C%5C-8y%20%3D%20-7x%20%2B4%5C%5CDivde%5C%3Aboth%5C%3Asides%5C%3Aof%5C%3Athe%5C%3Aequation%5C%3Aby%5C%3A%20-8%5C%5C%5C%5C%5Cfrac%7B-8y%7D%7B-8%7D%20%3D%20%5Cfrac%7B-7x%7D%7B-8%7D%20%2B%5Cfrac%7B4%7D%7B-8%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B7%7D%7B8%7Dx%20%20-%5Cfrac%7B1%7D%7B2%7D)
Speed is the ratio of distance and time.
So, average speed= Total distance/ total time.
Let's assume t is the time taken for going from New Orleans to Boston and it's taking 1 hour less to return back. So, time taken for return back is t-1.
Given the speed from New Orleans to Boston is 40 mph. So,
Distance = Speed * time
So, d =40 t
Hence t= d/40
Similarly Distance for returning back:
d =80 (t-1)
d/80 = t-1 (Dividing 80 to each sides)
Now the total distance= d+ d = 2d
And total time : t + t -1= d/40 + d/80
So, the average speed = ![\frac{2d}{\frac{d}{40}+\frac{d}{80}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2d%7D%7B%5Cfrac%7Bd%7D%7B40%7D%2B%5Cfrac%7Bd%7D%7B80%7D%7D%20%20%20%20)
=
(cancel out d )
Common denominator of 40 and 80 is 80. So, multiply each terms by 80.
=
=![\frac{160}{2+1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B160%7D%7B2%2B1%7D%20%20)
=![\frac{160}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B160%7D%7B3%7D%20%20)
=53.33 mph
So, the average speed is 53.33 mph.
Answer: she has 15 dimes and 45 pennies.
Step-by-step explanation:
01p+1d=1.95
p=3d
01(3d)+.1d=1.95
p=3.15
03d+.1d=1.95
p=45
.13d=1.95
d=15
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