Answer:
- 71 in House of Representatives
- 17 in Senate
Step-by-step explanation:
Let h and s represent the numbers in the House and Senate, respectively. Then we have ...
h + s = 88
h - s = 54
Subtracting the second equation from the first gives ...
(h +s) -(h -s) = (88) -(54)
2s = 34 . . . . . simplify
s = 17 . . . . . . . divide by 2
h = 88 -17 = 71 . . . . find the other value using the sum equation
There were 71 females in the House of Representatives, and 17 females in the Senate.
Step-by-step explanation:
1.) The average nightly ticket sales can be calculated as
Average sales = Average no. of customers per night x Charge per ticket
For the second night, we have
$1750 = (N)($7)
This gives us N = 250.
So, the average number of customers decreased as a result of the price increase.
To calculate the percentage change, we use the following formula:
% change = 
We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.
2.) % change in prices = 
Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.
3.) Elasticity of Demand = 
Hence, we have
= -0.425
This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.
4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.
Answer:
23
Step-by-step explanation:
These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.
Your common denominator is 9x + 9, so
1/(9x+9) = 36/(9x + 9) - (5x + 5)/9
1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3
Hope this helped!
Answer:
They won 17 games and drew 4 games
Step-by-step explanation:
The given parameters are;
The number of points the major league soccer team finished with = 55 points
The number of games the soccer team played = 28 games
The number of losses the soccer team had = 7 losses
The number of points awarded for each win = 3 points
The number of points awarded for each tie = 1 points
The number of points awarded for each loss = 0 points
Let x represent the number of wins, y represent the number of draws, and let z represent the number losses
Therefore;
z = 7
x + y + z = 28
3·x + y + 7×0 = 55
Therefore, we have the following system of equations;
x + y = 21...(1)
3·x + y = 55...(2)
Which gives;
The inverse of the matrix is given as follows;

Therefore;

x = 17, y = 4