Answers:
24 quarters
22 nickels
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Work Shown:
q = number of quarters
n = number of nickels
q+n = 46 coins total which solves to n = 46-q
25q = value of all the quarters in cents
5n = value of all the nickels in cents
25q+5n = value (cents) of all the coins of both types
25q+5n = 710 cents total = $7.10
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Apply substitution.
25q+5n = 710
25q+5(46-q) = 710
25q+230-5q = 710
20q+230 = 710
20q = 710-230
20q = 480
q = 480/20
q = 24
They have 24 quarters
This yields 25*q = 25*24 = 600 cents = $6.00 so far.
Use that value of q to find n
n = 46-q
n = 46-24
n = 22
They also have 22 nickels.
They have an additional 5n = 5*22 = 110 cents = $1.10
In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.
Answer:
b. x=sin^-1(a/c)
c. x=tan^-1(c/a)
e. y=cos^-1(c/b)
Step-by-step explanation:
on edge!
5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 1. Is the amount of tax collected proportional to the cost of an item before the tax is collected? Explain.
Answer:
y = 4x² -19x -5
Step-by-step explanation:
When you graph it (or use an appropriate tool), it can help us to figure out that the equation is:
y = 4x² -19x -5
(Quadratic regression = the process of determining the equation of a parabola that best fits a set of data)
<em>Hope this helps, have a nice day :D</em>
Check the picture below.
since the arcEF is 75°, then the central angle it is in is also 75°, and the radius is of course 2.4,
