Answer:
403.75
Step-by-step explanation:
we can write the following equation
.75m+145=price
we just need to plug in 345 for m
.75*345+145=price
put this into a calculator and get 403.75
Answer: 220
<u>Step-by-step explanation:</u>
Children (x): $2
Teens (y): $3, 
Adults: (z): $5
Quantity: x + y + z = 570 ⇒ x +
+ z = 570 ⇒ 1.75x + z = 570
Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3
+ 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950
Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>
4.50x = 900
x = 200
Teens (y):
y =
=
= 150
Quantity: x + y + z = 570
200 + 150 + z = 570
350 + z = 570
z = 220
Given:
ABCD is a quadrilateral
AC = 12, DE = 4 and FB = 5
To find:
The area of the polygon.
Solution:
AC bisects the quadrilateral into two triangles.
Area of triangle:

<u>Area of triangle DAC:</u>



Area of triangle DAC = 24 square units.
<u>Area of triangle BAC:</u>



Area of triangle BAC = 30 square units.
Area of polygon = Area of triangle DAC + Area of triangle BAC
= 24 square units + 30 square units
= 54 square units
The area of the polygon is 54 square units.