Solve the problem.Michael's bank contains only nickels, dimes, and quarters. There are 46 coins in all, valued at $4.20. The number of nickels is 10 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?

A. 11 dimes
B. 8 dimes
C. 6 dimes
D. 32 dimes


Answer: C

Mathematics

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Sam  starts  walking  from  point  A  at 1 miles per hour. One-half  hour  later, Paul  starts  walking  from  point A at 1.5 miles per hour  and  follows  the  same  route. How long will it take Paul to catch up with Sam?

A. 60 minutes B. 65 minutes C. 55 minutes D. 70 minutes

Mathematics

Use implicit differentiation to find the specified derivative at the given point.Find  at the point (1, 3, 3) for  +  +  = 0.

A.
B. - 
C.
D. - 

Mathematics

Answer the question. Give your answer in simplest form.A 6-minute egg is cooked for what fraction of an hour? (1 hour = 60 min)

A.  hr
B.  hr
C.  hr
D.  hr

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -  = 1

A. center at (-2, 4)
transverse axis is parallel to x-axis
 vertices at (-6, 4) and (2, 4)
foci at (-2 - 2, 4) and (-2 + 2, 4)
asymptotes of y - 4 = - (x + 2) and y - 4 = (x + 2)
B. center at (4, -2)
transverse axis is parallel to x-axis
vertices at (0, -2) and (8, -2)
foci at (4 - 2, -2) and (4 + 2, -2)
asymptotes of y + 2 = - (x - 4) and y + 2 = (x - 4)
C. center at (-2, 4)
transverse axis is parallel to x-axis
vertices at (-4, 4) and (0, 4)
foci at (-2 - 2, 4) and (-2 + 2, 4)
asymptotes of y - 4 = - 2(x + 2) and y - 4 = 2(x + 2)
D. center at (-2, 4)
transverse axis is parallel to y-axis
vertices at (-2, 0) and (-2, 8)
foci at (-2, 4 - 2) and (-2, 4 + 2)
asymptotes of y + 4 = - 2(x - 2) and y + 4 = 2(x - 2)

Mathematics