Answer:
16
Step-by-step explanation:
Number of attires Clara has initially = x
lends half her collection of formal attires to her sister
Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister
= x - 1/2x
= 1/2x
Clara then buys four more attires
= 1/2x + 4
If she has 12 attires now
12 = 1/2x + 4
12 - 4 = 1/2x
8 = 1/2x
x = 8 ÷ 1/2
= 8 × 2/1
= 16
x = 16
Number of attires Clara has initially = x = 16

add 2q to both sides.

subtract 5 to both sides.

divide 5 to both sides.

the answer is:
Answer:
By themselves $18.20, $13.60, and together $31.80
Step-by-step explanation:
$2.60 multiplied by 7 equals $18.20
$3.40 multiplied by 4 equals $13.60
Together this equals $31.80
<h3>Given</h3>
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
<h3>Find</h3>
The area of each figure, rounded to the nearest integer
<h3>Solution</h3>
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².