Answer:
9 cm, C
11 cm, B
14 cm A
Step-by-step explanation:
Most of the information's that are required for solving this question is already given in the question. It is important to check them minutely before trying to solve the problem in hand.
Amount of prize money won by the darts team = 1750 pounds
The amount of money that needs to be saved = 70 pounds
Then
Amount of money remaining after savings = (1750 - 70) pounds
= 1680 pounds
The number of team members in the darts team = 14
So
The amount of money
that each members of the darts team gets = 1680/14
= 70 pounds
From the above deduction we can easily conclude that each member of the darts teams will get an amount of 70 pounds.
1600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.
Answer:
See below
Step-by-step explanation:
![9.( {m}^{3} {n}^{5} )^{ \frac{1}{4} } \\ = m^{\frac{3}{4}}n^{\frac{5}{4}}\\ \\ 10. \sqrt[5]{ \sqrt[4]{x} } \\ = \sqrt[5]{ {x}^{ \frac{1}{4} } } \\ = {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} } \\ = {x}^{ \frac{1}{4} \times \frac{1}{5} } \\ = {x}^{ \frac{1}{20} } \\ \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } } \\ = \sqrt[5]{ {a}^{ \frac{2}{3} } } \\ = {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} } \\ = {a}^{ \frac{2}{3} \times \frac{1}{5} } \\ = {a}^{ \frac{2}{15} }](https://tex.z-dn.net/?f=9.%28%20%7Bm%7D%5E%7B3%7D%20%20%7Bn%7D%5E%7B5%7D%20%29%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%20%5C%5C%20%20%20%3D%20%20m%5E%7B%5Cfrac%7B3%7D%7B4%7D%7Dn%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D%5C%5C%20%20%5C%5C%2010.%20%5Csqrt%5B5%5D%7B%20%5Csqrt%5B4%5D%7Bx%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%5B5%5D%7B%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7B%28%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%20%3D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B20%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%5Csqrt%5B5%5D%7B%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%5B5%5D%7B%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7B%28%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%20%3D%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B15%7D%20%7D%20%20)
Answer:
110 beats per minute.
Step-by-step explanation:
Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.
