Answer:
Lisa spends $138.40 on school lunches in 16 weeks.
Step-by-step explanation:
You have to multiply 8.65 by 16, since 8.65 is how much money Lisa spends each week for lunch, then you multiply by 16 since the problem calls for 16 weeks, then you get your final answer of $138.40.
I’m hoping this helps but the slop will be 25. If I’m wrong then I’m sorry but I got taught a different way on how to do it
recall your d = rt, distance = rate * time.
j = jet's rate
w = wind's rate
so with the wind the actual speed of the Jet is really j + w, because the wind is adding speed to it, and against it is j - w, since the wind is eroding speed from it.
![\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&8730&j-w&9\\ \textit{with the wind}&7260&j+w&6 \end{array}~\hfill \begin{cases} 8730=(j-w)(9)\\ 7260=(j+w)(6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{8730}{9}=j-w\implies }970=j-w\implies 970+w=j \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blcccl%7D%20%26%5Cstackrel%7Bmiles%7D%7Bdistance%7D%26%5Cstackrel%7Bmph%7D%7Brate%7D%26%5Cstackrel%7Bhours%7D%7Btime%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20%5Ctextit%7Bagainst%20the%20wind%7D%268730%26j-w%269%5C%5C%20%5Ctextit%7Bwith%20the%20wind%7D%267260%26j%2Bw%266%20%5Cend%7Barray%7D~%5Chfill%20%5Cbegin%7Bcases%7D%208730%3D%28j-w%29%289%29%5C%5C%207260%3D%28j%2Bw%29%286%29%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Busing%20the%201st%20equation%7D%7D%7B%5Ccfrac%7B8730%7D%7B9%7D%3Dj-w%5Cimplies%20%7D970%3Dj-w%5Cimplies%20970%2Bw%3Dj%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \stackrel{\textit{using the 2nd equation}}{\cfrac{7260}{6}=j+w}\implies 1210=j+w\implies \stackrel{\textit{doing some substitution on \underline{j}}}{1210=(970+w)+w} \\\\\\ 1210=970+2w\implies 240=2w\implies \cfrac{240}{2}=w\implies \boxed{120=w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{970+w=j}\implies 970+120=j\implies \boxed{1090=j}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Busing%20the%202nd%20equation%7D%7D%7B%5Ccfrac%7B7260%7D%7B6%7D%3Dj%2Bw%7D%5Cimplies%201210%3Dj%2Bw%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bdoing%20some%20substitution%20on%20%5Cunderline%7Bj%7D%7D%7D%7B1210%3D%28970%2Bw%29%2Bw%7D%20%5C%5C%5C%5C%5C%5C%201210%3D970%2B2w%5Cimplies%20240%3D2w%5Cimplies%20%5Ccfrac%7B240%7D%7B2%7D%3Dw%5Cimplies%20%5Cboxed%7B120%3Dw%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20know%20that%7D%7D%7B970%2Bw%3Dj%7D%5Cimplies%20970%2B120%3Dj%5Cimplies%20%5Cboxed%7B1090%3Dj%7D)
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation h*(x)-(x^2+3*x-18)=0
Step-by-step explanation:
Equation at the end of step 1 :
hx - x2 - 3x + 18 = 0
Step 2 :
Solving a Single Variable Equation :
2.1 Solve hx-x2-3x+18 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
