![\bf \begin{cases} t=tacos\\ m=milk \end{cases}~\hspace{7em} \begin{cases} \stackrel{1~taco}{t}+\stackrel{1~glass}{m}=\stackrel{\$}{2.10}\\[0.8em] \stackrel{2~tacos}{2t}+\stackrel{3~glasses}{3m}=\stackrel{\$}{5.15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{llll} t+m=2.10&\stackrel{multiplied~by}{\times -3}\implies &\stackrel{notice}{-3t\stackrel{\downarrow }{-3m}=-6.3}\\[0.8em] 2t+3m=5.15&\implies &~~2t+3m=5.15\\ \cline{3-3} &&-t+0m=-1.15 \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0At%3Dtacos%5C%5C%0Am%3Dmilk%0A%5Cend%7Bcases%7D~%5Chspace%7B7em%7D%0A%5Cbegin%7Bcases%7D%0A%5Cstackrel%7B1~taco%7D%7Bt%7D%2B%5Cstackrel%7B1~glass%7D%7Bm%7D%3D%5Cstackrel%7B%5C%24%7D%7B2.10%7D%5C%5C%5B0.8em%5D%0A%5Cstackrel%7B2~tacos%7D%7B2t%7D%2B%5Cstackrel%7B3~glasses%7D%7B3m%7D%3D%5Cstackrel%7B%5C%24%7D%7B5.15%7D%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bllll%7D%0At%2Bm%3D2.10%26%5Cstackrel%7Bmultiplied~by%7D%7B%5Ctimes%20-3%7D%5Cimplies%20%26%5Cstackrel%7Bnotice%7D%7B-3t%5Cstackrel%7B%5Cdownarrow%20%7D%7B-3m%7D%3D-6.3%7D%5C%5C%5B0.8em%5D%0A2t%2B3m%3D5.15%26%5Cimplies%20%26~~2t%2B3m%3D5.15%5C%5C%0A%5Ccline%7B3-3%7D%0A%26%26-t%2B0m%3D-1.15%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill)
notice, we used -3 in the multiplication to <u>eliminate</u> the m's.
The next three terms of the sequence are:
, -64, -128, -256
Answer:
The probability of the student incorrectly solves the next problem is 44%.
Step-by-step explanation:
Let E be the event of solving a problem correctly.
Then E' is the event that the problem is solved incorrectly.
Now, recall the definition of probability.
probability of an event = 
So,
p(E) = 
Also,
p(E) + p(E') = 1 and
p(E') = 1 - p(E)
= 1 -
= 
= 
= 
= 
= 44% rounded.
Hence, the probability of the student incorrectly solves the next problem is 44%.
Let x= $4.75 shares
600-x- $5.00 shares
4.75x + 5 (600-x)= 2912.50
distribute and remove ( )
4.75x +3000-5x= 2912.50
combine like terms
-,25x + 3000= 2912.50
subtract 3000 from both sides
-.25x= -87.5
divide by -.25
x=350 shares @ $4.75
600-350= 250 shares @ $5,00
hope this helps
A bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.
It is required to find How many feet will it cover in 35 seconds.
<h3>What is conversion?</h3>
conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.
Given that:
1 hour = 60min×60sec = 3600 sec
1 miles = 5280 feet
16 miles = 16×5280ft = 84480 ft
3600sec ................. 84480 ft
35sec ................................ x ft
x = 35×84480/3600
=2956800 /3600
= 821.33 feet.
Hence, a bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.
Learn more about conversion here:
brainly.com/question/3477680
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