Answer & Step-by-step explanation:
(2/5 + 3/4) * [ 3 - (1/4 : 1/5)]
When you see this sign, : , it usually means to divide the numbers because they represent some form of a ratio. So, we will divide 1/4 by 1/5.
First, do all of the operations in the parentheses ().
(2/5 + 3/4)*[ 3 - (1/4 : 1/5)]
(23/20) * [ 3 - (5/4)]
(23/20) * (7/4)
Now, we multiply 23/20 by 7/4.
(23/20) * (7/4)
161/80
This number can not be simplified so we will keep it as it is.
So, the answer to this expression is 161/80
Answer:
![41\text{ [units squared]}](https://tex.z-dn.net/?f=41%5Ctext%7B%20%5Bunits%20squared%5D%7D)
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length
and width 
: 
- Area of triangle with base
and height 
: 
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is 
The area of all four is then 
units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 
units squared, and the both of them have a total area of 
units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of 
units squared.
Therefore, the area of the entire octagon is ![8+12+21=\boxed{41\text{ [units squared]}}](https://tex.z-dn.net/?f=8%2B12%2B21%3D%5Cboxed%7B41%5Ctext%7B%20%5Bunits%20squared%5D%7D%7D)
Answer:
see explanation
Step-by-step explanation:
Expressing as equations
9x + 10y = 297 → (1) ← that is B
8x + 5y = 194 → (2) ← that is D
To solve the system of equations, multiply (2) by - 2
- 16x - 10y = - 388 → (3)
Add (1) and (3) term by term to eliminate the term in y
(9x - 16x) + (10y - 10y) = (297 - 388), that is
- 7x = - 91 ( divide both sides by - 7 )
x = 13
Substitute x = 13 into either of the 2 equations and solve for y
Using (1), then
(9 × 13) + 10y = 297
117 + 10y = 297 ( subtract 117 from both sides )
10y = 280 ( divide both sides by 10 )
y = 28
Cost of a small box of candy = $13
Cost of a large box of candy = $28
I have checked this alot of times and I can never seen the pic....
The answer I got was 59.2
How I got it was that I counted how many years it was I got 16 years multiplied it by 3.7 and got 59.2
