Answer:
Step-by-step explanation:
Represent trees with T and wreaths with W
Given
Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation
Collect Like Terms
Divide through by 6
Hence, each wreath costs $16
Solving (b): Cost of T
Substitute 16 for W
Hence, each tree costs $67
Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
9.57 inch
Step-by-step explanation:
(4/3)×pi×8³ = 14×16×h
h = (4/3)×pi×8³ ÷ (14×16)
h = 64pi/21 inch
Or, 9.57 inch (3 sf)
Answer:
The scale factor is 1.5.
Step-by-step explanation:
Divide the length of the image, 12, by the length of the preimage, 8, which will give you 1.5
12 ÷ 8 = 1.5
Therefore, the scale factor of the image is 1.5.
