Answer:
-35/9
Step-by-step explanation:
(3^-2)-4
1/9-4
-35/9
Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
Answer:
Choices A, C, E
Step-by-step explanation:
The prices are proportional, so divide any price by the corresponding number of pounds to find the unit cost.
$1.47/(3 lb) = $0.49/lb
The unit cost is $0.49 per lb.
Now we look in the choices to see which choice has a unit price of $0.49/lb.
We divide each price by its number of pounds to fund each unit cost. Every choice with a unit cost of $0.49/lb is an answer.
A $0.98/(2 lb) = $0.49/lb Choice A works
B $4.45/(7 lb) = $0.64/lb Choice B does not work
C $2.94/(6 lb) = $0.49/lb Choice C works
D $0.54/(1 lb) = $0.54/lb Choice D does not work
E $3.92/(8 lb) = $0.49/lb Choice E works
Answer: Choices A, C, E
