Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
Complete the equation of variation where y varies inversely as x and y = 0.125
when x=8
Answer:
Yes, the company can expect a profit in the long term
Step-by-step explanation:
In this question, we are to project if a company is expected to make a profit or loss given the information in the question.
Let’s use the scenario of 50 gadgets produced.
1 is expected to be faulty, while 49 is thus expected to work perfectly.
Now, on this 49 sold, there is an expectancy of $3 profit. Hence, this means that for a batch of 50 gadgets produced, the amount of expected profit will be 49 * 3 = $147
The amount that would be used to repair the faulty unit is $80. If we subtract this from the total expected profit, we have $147-$80 = $67
Hence, per 50 gadgets sold, a total of $67 in profit is to be expected
This means profit is expected in the long tey
60 children tickets and 190 adult tickets were sold.
<u>Step-by-step explanation:</u>
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
60 children tickets and 190 adult tickets were sold.
