Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.
3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:
3x + 2y = 2.85 (1)
4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:
4x + 5y = 5.41 (2)
Solving equation 1 and 2 simultaneously gives:
x = 0.49, y = 0.69
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
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Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>
Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are
Assuming the plane is cutting the prism horizontally, the cross section would have dimensions
Because only the height would be cut.
So, the perimeter of the rectangle cross-section is
Therefore, the perimeter of the cross section is 30 centimeters.
The only things you can factor out of here is a 3 so you are left with:
3(y-6)
Hope that helps.
Answer:
an =6n
Step-by-step explanation:
6, 12, 18, 24
Take the 2nd number minus the first number, 3rd minus the second, etc
12-6 =6
18-12 = 6
24-18 =6
The common difference is 6
The formula for an arithmetic sequence is
an =a1+d(n-1)
where a1 is the first term
d is the common difference
n is the term number
an = 6+6(n-1)
Distributing
= 6+6n-6
= 6n
Answer:
1st ∡ = 15.5°
2nd ∡ = 77.25°
3rd ∡ = 87.25°
Step-by-step explanation:
1st ∡: x
2nd ∡: y
3rd ∡: z
Equations we can create from data given in problem:
y + z = 5x
z = 5x + 10
We have enough expressions to create an equation:
x + 5x + 5x + 10 = 180
11x = 170
x = 15.5
y = 5(15.5) = 77.25
z = y + 10 = 87.25
