Answer:
2. 325 minutes.
Step by step explanation:
We will substitute our given number of minutes in our both equation one by one to find the correct option.
1. Let us substitute m= 775 in both equations.
![CA=22+0.13m](https://tex.z-dn.net/?f=CA%3D22%2B0.13m)
![CA=22+0.13\cdot 775](https://tex.z-dn.net/?f=CA%3D22%2B0.13%5Ccdot%20775)
![CA=22+100.75=122.75](https://tex.z-dn.net/?f=CA%3D22%2B100.75%3D122.75)
![CB=44+0.09(m-100)](https://tex.z-dn.net/?f=CB%3D44%2B0.09%28m-100%29)
![CB=44+60.75=104.75](https://tex.z-dn.net/?f=CB%3D44%2B60.75%3D104.75)
![104.75\neq122.75](https://tex.z-dn.net/?f=104.75%5Cneq122.75)
We can see that both plans have different costs , therefore, 1st option is incorrect.
2. Let us substitute m= 325 in both equations.
![CA=22+0.13m](https://tex.z-dn.net/?f=CA%3D22%2B0.13m)
![CA=22+0.13\cdot 325](https://tex.z-dn.net/?f=CA%3D22%2B0.13%5Ccdot%20325)
![CA=22+42.25=64.25](https://tex.z-dn.net/?f=CA%3D22%2B42.25%3D64.25)
![CB=44+0.09(m-100)](https://tex.z-dn.net/?f=CB%3D44%2B0.09%28m-100%29)
![CB=44+0.09(325-100)](https://tex.z-dn.net/?f=CB%3D44%2B0.09%28325-100%29)
![CB=44+0.09\cdot 225](https://tex.z-dn.net/?f=CB%3D44%2B0.09%5Ccdot%20225)
![CB=44+20.25=64.25](https://tex.z-dn.net/?f=CB%3D44%2B20.25%3D64.25)
![64.25=64.25](https://tex.z-dn.net/?f=64.25%3D64.25)
When Vanessa has used the phone for 325 minutes, the cost for Plan A and the cost for Plan B will both be $64.25.Therefore, 2nd option is correct choice.
3. Let us substitute m= 32.5 in both equations.
![CA=22+0.13m](https://tex.z-dn.net/?f=CA%3D22%2B0.13m)
![CA=22+0.13\cdot 32.5](https://tex.z-dn.net/?f=CA%3D22%2B0.13%5Ccdot%2032.5)
![CA=22+4.225=26.225](https://tex.z-dn.net/?f=CA%3D22%2B4.225%3D26.225)
![CB=44+0.09\cdot -67.5](https://tex.z-dn.net/?f=CB%3D44%2B0.09%5Ccdot%20-67.5)
![37.925\neq26.225](https://tex.z-dn.net/?f=37.925%5Cneq26.225)
4. Let us substitute m= 764 in both equations.
![CA=22+0.13m](https://tex.z-dn.net/?f=CA%3D22%2B0.13m)
![CA=22+0.13\cdot 764](https://tex.z-dn.net/?f=CA%3D22%2B0.13%5Ccdot%20764)
![CA=22+99.32=121.32](https://tex.z-dn.net/?f=CA%3D22%2B99.32%3D121.32)
![121.32\neq103.76](https://tex.z-dn.net/?f=121.32%5Cneq103.76)
Therefore, 4th option is incorrect.
Answer:
(E) 1/5
Step-by-step explanation:
The probability that Harry will be chosen to be the secretary but not the president is ![\frac{9}{10} *\frac{1}{9} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20%2A%5Cfrac%7B1%7D%7B9%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
The probability that Harry will be chosen to be the treasurer but not the president or secretary is ![\frac{9}{10} *\frac{8}{9}*\frac{1}{8}=\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20%2A%5Cfrac%7B8%7D%7B9%7D%2A%5Cfrac%7B1%7D%7B8%7D%3D%5Cfrac%7B1%7D%7B10%7D)
Thus, the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer is ![\frac{1}{10} + \frac{1}{10} = \frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
9514 1404 393
Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice
Answer:
1. 78cm^2
2. 200 ft^2
Step-by-step explanation:
1. i always cut these complex shapes into simpler ones (in this case a rectangle and a triangle)
the rectangles area is 6*8 or 48 and the triangles area is (10*6)/2 or 30 you then add the two areas to get the area for the whole shape 48+30=78
2. once again you're going to break this shape up into the individual rooms and then add them together the garage is a 4*6 room (24) the bedroom is a 8*4 room (32) the living room is a 10*10 room (100) the kitchens a 6*6 room (36) and the bathroom is a 4*2 room (8) you then add all these together
24+32+100+36+8=200