9514 1404 393
Answer:
60
Step-by-step explanation:
Let x represent the number of members last summer. Then 90% more is 1.9x. We are told this is 114, so we have ...
1.9x = 114
x = 114/1.9 = 60
There were 60 members last summer.
Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the 
values in terms of 
from the equation into the other equation to solve for
Substituting into .
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴ 
<em>Plugging in into .</em>
We have,
∴ 
The solution of the system can be given as (5,-8).
Answer:
3156
Step-by-step explanation:
- <em>Used formula:</em>
- <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>
--------
- 10²+12²+14²+......+26² =
- (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
- 4*(5²+6²+7²+...+13²) =
- 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
- 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
- 4*(1/6*13*14*27- 30) =
- 4*(819 - 30) =
- 4*789 =
- 3156
Answer: During the second hour it could travel either 4,5,6,7,8,9 hours
Step-by-step explanation:
Answer:
x > -5 in the answer
Step-by-step explanation:
(5 - 3x) / 4 < 5
multiplying both sides by 4:-
5 - 3x < 20
-3x < 15
x > 15/-3
x > -5 (Note the inequality sign is flipped because we are dividing by a negative number)
