If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,
6.24/0.78= 8 lbs
The trapeze area is:
A = (1/2) * (B + b) * (h)
Where,
B: major base
b: minor base
h: height
Substituting values:
A = (1/2) * (8.5 + 4) * (2)
A = 12.5 feet ^ 2
For two gallons of paint the number of trapezoids is:
N = (2 * 350) / (12.5)
N = 56
Answer:
Lillian can paint with 2 gallons of paint 56 front frames of a podium
Answer:
(x+1, y-3)
Step-by-step explanation:
Because moving x by positive one means that you shift the shape to the right, and subtracting the y by 3 means moving it down by three. I solved it by choosing one point and figuring out how the same point ended up where it is after the translation (I looked at point a and saw how much it moved right and down). Hope this helps! :)
Answer:
A
Step-by-step explanation:
For this case we have the following variables:
x: Quantity of orange picks
y: Quantity of green picks
According to the statement, we have the following proportion:
, that is:
![5x = 2y](https://tex.z-dn.net/?f=5x%20%3D%202y)
If there are 21 picks, then:
![x + y = 21](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2021)
So, we have two equations with two unknowns:
----> (1)
----> (2)
From (2):
![x = 21-y](https://tex.z-dn.net/?f=x%20%3D%2021-y)
Substituting x in (1):
![5 (21-y) = 2y\\105-5y = 2y\\105 = 7y\\](https://tex.z-dn.net/?f=5%20%2821-y%29%20%3D%202y%5C%5C105-5y%20%3D%202y%5C%5C105%20%3D%207y%5C%5C)
![y = \frac{105}{7}\\y = 15](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B105%7D%7B7%7D%5C%5Cy%20%3D%2015)
Substituting
in (2) and clearing x, we have:
![x + 15 = 21](https://tex.z-dn.net/?f=x%20%2B%2015%20%3D%2021)
![x = 21-15](https://tex.z-dn.net/?f=x%20%3D%2021-15)
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
So, there are 6 orange picks
Answer:
6 orange picks