Answer:
The scale factor used is 0.4
Step-by-step explanation:
Given


Required
Determine the scale factor of RST
The question can be solved using scale factor formula
Scale factor is calculated as thus;

In this case; R' is the new length and R is the old length

Substitute the values of R and R'

Factorize the denominator



<em>Hence, the scale factor used is 0.4</em>
The difference in the volume of the 2 wardrobes is that she wants a new wardrobe that is a foot wider than her last wardrobe.
Since V is a point on the line UW, therefore:
the length of UV + the length of VW = the length of UW
19 + 4x - 20 = 6x - 35
19 - 20 + 35 = 6x - 4x
34 = 2x
x = 34/2 = 17
Based on this:
UW = 6x - 35 = 6(17) - 35 = 67 cm
UV = 19 cm
VW = 4x - 20 = 4(17) - 20 = 48 cm
Answer: A. 21/2x^2 + 4x
Explanation:
(3/x+2)(7/2x)
= 21/(x+2)(2x)
= 21/2x^2 + 4x
Answer:
The maximum number of pounds of potato salad that Charlie can buy is 0.375
Step-by-step explanation:
see the attached figure to better understand the problem
Let
a ----> the cost of one tuna sandwich
b ----> the cost of a bottle of apple juice
c ----> the cost per pound of potato salad
x ----> pounds of potato salad
we have



we know that
He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8
The inequality that represent this situation is

substitute the given values

Solve for x
Combine like terms

Subtract 6.50 both sides


Divide by 4 both sides


therefore
The maximum number of pounds of potato salad that Charlie can buy is 0.375