Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.
Answer:
When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.
Step-by-step explanation:
Answer:
x = 1/4
Step-by-step explanation:
16 = 2 can be written as
= 2
(
)^x = 2^1
if bases are the same we can create this equation: 4x = 1
x = 1/4
Answer:
(1;3)
Step-by-step explanation:
midpoint=(x1+x2;y1+y2)÷2
=(-2+4;-3+9)÷2
=(2;6)÷2
=(1;3)
first off, let's notice that Purple's time is in minutes, whilst the rate is in miles per hour, the units of both must correspond, so, we can either change the time from minutes to hours or the rate from hours to minutes, hmmm let's change the time to hours.
so 40 minutes, we know there are 60 minutes in 1 hour, so 40 minutes will be 40/60 of an hr, or namely 2/3.
![\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%20%5Ctextit%7Binverse%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20inversely%20with%20%5Cunderline%7Bx%7D%7D%20~%5Chspace%7B6em%7D%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7By%3D%5Ccfrac%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7D%7D%7Bx%7D~%5Chfill%20%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7Bx%7D%20varies%20inversely%20with%20%7D%5Cunderline%7Bz%5E5%7D%20~%5Chspace%7B5.5em%7D%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7Bx%3D%5Ccfrac%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7D%7D%7Bz%5E5%7D~%5Chfill%20%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
