You can solve this by substitution:
x + y = -6
y = -6-x
Substitute for y in xy = -7:-
x(-6 - x) = -7
-x^2 - 6x = -7
x^2 + 6x - 7 = 0
(x + 7)(x - 1) = 0
so x = -7, 1
To find the values of y plug these va;ues of x into the equation x + y = -6:-
when x = -7, y = -6 + 7 = 1
when x = 1, y = -6 - 1 = -7
so answer is x = -7 and y = 1
and x = 1 and y = -7
Answer:
- The equation 2n = p should be 2p = n.
- The actual cost of the onions is $3.00 per pound.
- Potatoes cost $1.50 per pound.
Step-by-step explanation:
The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...
2p = n
Then the solution is ...
6p +3(2p) = 18
12p = 18
p = 18/12 = 1.50
n = 2p = 2(1.50) = 3.00
__
The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.
The data value 2.5 will lie below the second quartile
Answer:
Perimeter and area of drawing
Perimeter= 10 In
Area = 6.25 In²
Perimeter and area of object
Perimeter = 51.836 mm
Area = 167.936 mm²
Step-by-step explanation:
We are dealing with a square object, so let's talk about the drawing first.
The length of one side = 2.5 In
Perimeter of square= 4L
Perimeter = 4*2.5
Perimeter= 10 In
Area = L*L
Area = 2.5*2.5
Area = 6.25 In²
Letd note that 1 inch =
25.4 millimetres
So 2.5 Inch = 2.5 * 25.4
2.5 In = 63.5 mm.
25.4 mm is to 5mm
63.5 mm is to (63.5*5)/24.5
63.5mm is to 12.959 mm
So the length of actual object is 12.959mm
The perimeter = 4*12.959
Perimeter = 51.836 mm
Area = 12.959²
Area = 167.936 mm²
Exact form: 65/8
Decimal form: 8.125
Mixed Number form: 8 1/8