Answer:
Cost of Hats = $15
Cost of Scarves = $8
Step-by-step explanation:
Let
Cost of Hats = x
Cost of Scarves = y
5x + 3y = 99 (1)
3x + 5y = 85 (2)
Multiply (1) by 5 and (2) by 3
25x + 15y = 495
9x + 15y = 255
Subtract
25x - 9x = 495 - 255
16x = 240
Divide both sides by 16
x = 240 / 16
= 15
x = $15
Substitute x = 15 into
5x + 3y = 99
5(15) + 3y = 99
75 + 3y = 99
3y = 99 - 75
3y = 24
y = 24/3
= 8
y = 8
Cost of Hats = $15
Cost of Scarves = $8
Answer:
y ≤ 1/3 x - 1.3.
Step-by-step explanation:
First find the equation of the line:
The slope = (-0.3 - (-1.3) / (3 - 0).
= 1/3 so the equation is y = 1/3x + b where b is a constant.
b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).
Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.
lets do this step by step.
First: we need to break this into to prisms.
Next lets say the dimensions:
4 x 2 x 1 and 2 x 2 x 1
now we multiply them and then add them
8 + 4 = 12
volume = 12 cubic units.