Answer:
10x - 4y = 16
Step-by-step explanation:
2(5x - 2y = 8)
10x - 4y = 16
Answer:
<u>-21844</u>
Step-by-step explanation:
<u>Finding n</u>
- -16384 = -4(4)ⁿ⁻¹
- 4ⁿ⁻¹ = 4096
- 4ⁿ⁻¹ = 64²
- 4ⁿ⁻¹ = (8²)²
- 4ⁿ⁻¹ = (4³)²
- n - 1 = 6
- n = 7
<u>Finding The Sum</u>
- S₇ = -4(4⁷ - 1) / 4 - 1
- S₇ = -4 (16383) / 3
- S₇ = -65536/3
- S₇ = <u>-21844</u>
A:
Width of the deck = 
units
Length of the deck = 
units
So area of rectangular deck = Length * width
= 
Area = 
Area= 
units square
As mentioned in part B, the area of the pool is 
so the combined area of the deck and pool is
Area = area of rectangular deck + area of pool
= 
unit square
B:
The area of only the deck is unit square
Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.
Step-by-step explanation:
Let x represent the number of pounds of white chocolate in the candy shack mixture.
Let y represent the number of pounds of dark chocolate in the candy shack mixture.
The candy shack has 20 lb of mixed white and dark chocolate. This means that
x + y = 20
The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is
20 × 7.50 = $150
White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that
8x + 6y = 150 - - - - - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
8(20 - y) + 6y = 150
160 - 8y + 6y = 150
- 8y + 6y = 150 - 160
- 2y = - 10
y = - 10/ - 2
y = 5
x = 20 - y = 20 - 5
x = 15
y=mx+b
Where m is the slope
and b is the y-intercept
