Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used
A + B = 156
B = 156 - A
A = 156 - B
5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee
There's many more steps you can take to check and etc but am too lazy to put down sorry.
Answer:
1/a²⁷
Step-by-step explanation:
Given: 
We know that when the bases are same the powers can be added. i.,e.,
(xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾
⇒ 
Also, 
This is nothing but,
.
Note that
cannot be zero here. The condition is provided in the question as well.
Answer:
(2, 14), (5, 12), (8, 10), (11, 8), (14, 6)
Step-by-step explanation:
Lets do the math for Pattern A:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
Lets do the math for Pattern B:
14 - 2 = 12
12 - 2 = 10
10 - 2 = 8
8 - 2 = 6
6 - 2 = 4
Answer:
9/35
all the boxes in one row are 7 and the number of rows are 5 .. so 7x5=35 and the number of boxes shaded are 9
The perimeter of a rectangle is twice the sum of length and width, so the sum of length and width is half the perimeter, 10 3/4 ft.
The width will be the difference between this and the length, hence 5 1/2 ft.
The area is the product of length and width.
A = length×width
A = (5.25 ft)×(5.5 ft) = 28.875 ft²
The area of the sandbox is 28 7/8 ft².