Solve the problem.Of a family's $814 weekly income, $81 usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

A.
B.
C.
D.


Answer: D

Mathematics

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Solve the problem.A small manufacturing plant produces two kinds of bicycles-1-speed and 10-speed. The plant can manufacture up to 400 of the 1-speed bicycles and up to 500 of the 10-speed bicycles per month, but it can only manufacture 650 of both kinds in all every month. It takes 40 man-hours to manufacture a 1-speed bicycle and 80 man-hours for the 10-speed; there are 44,000 man hours available per month. The profit of the 1-speed bicycle is $20 and the profit of the 10-speed bicycle is $30.(a) Let x and y represent the number of 1-speed and 10-speed bicycles manufactured per month, respectively. Give all the inequalities that x and y must satisfy.(b) Express the profit as a linear function of x and y.(c) Graph the feasible set for this problem. 

src="https://sciemce.com/media/4/ppg__rrr0625191404__f1q74g1.jpg" alt="" style="vertical-align: 0.0px;" height="200" width="200" /> What will be an ideal response?

Mathematics

A five-number summary for a box plot includes which of the following?

A. min, median, max, average, frequency total B. min, Q1, Q2, Q3, max C. Q1, Q2, Q3, Q4, total D. Q1, Q2, Q3, Q4, average

Mathematics

The terminal side of ? in standard position contains the given point. Find the values of the six trigonometric functions of ?.(12, -5)

A. sin ? = 
cos ? = - 
tan ? = - 
csc ? = 
sec ? = - 
cot ? = - 
B. sin ? = - 
cos ? = 
tan ? = - 
csc ? = - 
sec ? = 
cot ? = - 
C. sin ? = - 
cos ? = 
tan ? = - 
csc ? = - 
sec ? = 
cot ? = - 
D. sin ? = - 
cos ? = 
tan ? = - 
csc ? = - 
sec ? = 
cot ? = - 

Mathematics

Determine if the function is even, odd, or neither.f(t) = cos2t

A. odd B. even C. neither D. both even and odd

Mathematics