Answer:
(7,-3)
Step-by-step explanation:
y = -3
substitute in the first equation
3x - y^2 = 12
3x - (-3)^2 = 12
3x - 9 = 12
3x = 12 + 9
3x = 21
x = 7
coordinates of intersection (7,-3)
Answer:
x = 60
y = 200
Step-by-step explanations:
Selling price:
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Total Revenue = $400
Total Profit = $265
Let
Number of CD's = x
Number of program's = y
(0.5y + 5x) = 400
0.5y = 400 - 5x
y = (400 - 5x) / 0.5
y = 800 - 10x (1(
Cost of production:
1.75x + 0.15y
Profit = Total Revenue - Total cost of production
5x + 0.5y - 1.75x + 0.15y = 265
3.25x + 0.35y = 265 (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
Divide both sides by -0.25
x = -15/ -0.25
x = 60
y = 800 - 10x
= 800 - 10(60)
= 800 - 600
= 200
y = 200
Answer:
There were 62 deaths
Step-by-step explanation:
In this question, we are asked to calculate the number of robberies in 2012.
From the question we can identify that the number of robberies were up 50% to 93. What this means is that the number is simply 150% of the old number.
Now, let’s represent the number of deaths in 2012 by x
Mathematically;
150% of x = 93
150/100 * x = 93
150x = 93 * 100
150x = 9300
x = 9300/150
x= 62
This means there were 62 deaths in the year 2012
Answer 15
Step-by-step explanation:
21 minus 5 is 16 munus 1 is 15 duh
Answer:
x=23 degrees
Step-by-step explanation:
We know that the sum of interior angles in a triangle is equal to 180 degrees, and we see that one of the angles is 67 and the other one is 90 degrees. So we can do this two ways, ones more complicated then the other that you may not of learned yet
The first way:
You simply do 180-67-90 to get 23
Second way:
We can use the exterior angle theorem to know that 67+x=90 degrees so you simplify on both sides and you get 23 again.
