Answer:
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
Step-by-step explanation:
Let us represent:
Cost of bolts = x
Cost of washers = y
Luke buys 4 bolts and 6 washers for $2.20
Hence:
4x + 6y = 2.20....Equation 1
Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.
3x + 5y = 1.80....Equation 2
Combining both Equations
4x + 6y = 2.20....Equation 1
3x + 5y = 1.80....Equation 2
Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x
12x + 18x = 6.6.....Equation 4
12x + 20x = 7.2.......Equation 5
Substract Equation 4 from 5
= 2x = 0.6
x = 0.6/2
x = $0.3
Solving for y
4x + 6y = 2.20....Equation 1
4 × 0.3 + 6y = 2.2
1.2 + 6y = 2.2
6y = 2.2 - 1.2
6y = 1.0
y = 1.0/6
y = $0.167
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
for 2a, use the theorems of geometry and such to look at the area of the square as 16 squares total, then use the lengths and Sim/cos rule for the triangular area, then subtract and you have you shaded area.
The answer is (7,2) and 45 units squared.
See attached picture.
Answer:
The option d
Step-by-step explanation:
find the intersection with x and y
https://tex.z-dn.net/?f=x%3D0%0A
https://tex.z-dn.net/?f=0%2By%3D-9%20%5Clongrightarrow%20y%3D-9%0A
and https://tex.z-dn.net/?f=y%3D0%0A
https://tex.z-dn.net/?f=x%2B0%3D-9
we get the coordinates
https://tex.z-dn.net/?f=(0%2C-9)%2C%20(-9%2C0)
and the same process for another equation
https://tex.z-dn.net/?f=4*(0)%2By%3D-19%20%5Clongrightarrow%20y%3D-19%5C%5C%0A4*x%2B0%3D-19%20%5Clongrightarrow%20x%3D%5Cfrac%7B-19%7D%7B4%7D%20%5C%5C%5C%5C%0A(0%2C-19)%2C%20(%5Cfrac%7B-19%7D%7B4%7D%2C0)%20
and these coordinates are those expressed in the d graph
He worked 3 8-hour days.
Let x be the number of 8 hour days. Then 10-x is the number of 6 hour days.
8x + 6(10-x) = 66
Using the distributive property,
8x + 6*10 - 6*x = 66
8x + 60 - 6x = 66
Combining like terms:
2x + 60 = 66
Subtract 60 from both sides:
2x + 60 - 60 = 66 - 60
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
