Let x be the rate of the slower bicyclist and
x + 4 be the rate of the faster bicyclist
Since the bicyclists are headed towards opposite directions, the sum of the distances they covered traveling for one hour and 15 minutes should be equal to 40 km based on the given conditions above. This may be expressed as,
(x)(1.25) + (x + 4)(1.25) = 40
Calculating gives x = 14
Thus, the rate of the bicyclists are 14 km/h and 18 km/h.
Answer:
Infinite pairs of numbers
1 and -1
8 and -8
Step-by-step explanation:
Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:
![\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%2B%20%5Csqrt%5B3%5D%7By%5E3%7D%3D0%5C%5C%20%5Csqrt%5B3%5D%7Bx%5E3%7D%3D-%20%5Csqrt%5B3%5D%7By%5E3%7D%5C%5Cx%3D-y)
Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.
Examples: 1 and -1; 8 and -8; 27 and -27.
D. cause you gotta isolate your variables (the cereal boxes) then get rid of the coefficent (2)
Answer:
5A) radius = 9 ft
5B) diameter = 18 ft
5C) fencing length = 56.52 ft
5D) 6.35 days
Step-by-step explanation:
Radius is given when it is 9 ft of rope (outside to center of circle)
Diameter is two times radius = 18.
Circumference(fence length) = 2 * 3.14 * 9 = 56.52.
Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35
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-Chetan K
The main formula is A=P(1+r/n)^nt, where A=amount of $ in the account at the specified time, P=principal (amount originally invested), r=interest rate, expressed as a decimal number, t=time, in years, of the investment, and n=number of times the account is compounded annually.
In our equation:
P=$11,600
r=7.25%=.0725
t=17 years
n=1 (compounded annually)
A= 11600(1+.[0725/1])^(1*17)
=11600(1+.0725)^17
=11600(1.0725)^17
=11600(3.286654969)
A=$38125.20