Okay so this is easy conversion.
40 quarters=10$
60 dimes =24 quarters
30 dimes= 12 quarters=3$
200 dimes=80 quarters
Answer:
3
Step-by-step explanation:
3/3x + 1/x+4 = 10/7x
3/3x + 1/x+4 = 10/7x , x=0,x=-4
1/x + 1/x+4 = 10/7x
1/x + 1/x+4 - 10/7x = 0
7(x+4)+7x-10(x+4) / 7x*(x+4) = 0
7x+28+7x-10x-40 / 7x*(x+4) = 0
4x-12 / 7x*(x+4) = 0
4x-12=0
4x-=12
x=3,x=0,x=-4
x=3
![\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7Bn%7D%3C%20%5Csqrt%7B2n%2B5%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsquaring%20both%20sides%7D%7D%7Bn%3C%202n%2B5%7D%5Cimplies%200%5Cleqslant%202n%20-%20n%20%2B%205%20%5C%5C%5C%5C%5C%5C%200%20%3C%20n%2B5%5Cimplies%20%5Cboxed%7B-5%20%3C%20n%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B-5%5Cleqslant%20n%20%3C%202%7D%7B%5Cboxed%7B-5%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B3em%7D%7B0.25pt%7D2%7D)
namely, -5, -4, -3, -2, -1, 0, 1. Excluding "2" because n < 2.
Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:
7.5 x 1.5 = 11.25 square feet (Bottom)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)
2.5 x 1.5 = 3.75 square feet (Top)
7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)
The area of all these surfaces is 61.5 square feet.
Answer:
Speed of a= 21 miles/hr
r = Speed of b= 7 miles/hr
Speed of a = 3r
Step-by-step explanation:
The cyclist are 112 miles apart
Time traveled by two = 4 hours
Speed of a = 3 * speed of b
If a cylcles 3 times More than b, then a will cover 3*distance of b
But speed = distance/time
Time = 4hours
Total distance=112
a = 3b
3b + b = 112
4b = 112
b = 112/4
b = 28 miles
a = 3b
a = 3*28
a = 84 Miles
They bought traveled 4 hours
Speed of a = 84miles/4 hours
Speed of a= 21 miles/hr
Speed of b = 28miles/4 hours
Speed of b = 7 miles/hr
