Answer:
G
Step-by-step explanation:
The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.
Area of a rectangle=length x width.
Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)
Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x
Answer: the area of the shaded region would be: 38x²-12x
Answer:
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Step-by-step explanation:
Let Veronika's weight = x
Let Kate's weight = y
The sum of Veronika's and Kate's weight is 118 pounds.
x + y = 118
Veronika weighs 26 pounds more than Kate.
x = y + 26
How much do they weigh individually?
We substitute y + 26 for x in Equation 1
x + y = 118
y + 26 + y = 118
26 + 2y = 118
2y = 118 - 26
2y = 92
y = 92/2
y = 46 pounds
x = y + 26
x = 46 + 26
x = 92 pounds
Hence,
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Answer: shameeka sold 20 hamsters to the store.
Step-by-step explanation:
Let x represent the number of hamsters that shameeka sold to the store.
Let y represent the number of hamsters that the pet store had initially.
Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. It means that
x + y = 2y
x = 2y - y
x = y
Then the store got six more hamsters. If the pet store has 46 hamsters now, it means that
2y + 6 = 46
2y = 46 - 6
2y = 40
y = 40/2
y = 20
Since x = y, then
x = 20
