Given:
The table that shows the relationship of the total number of pieces of fruit to the number of bananas.
To find:
Why is
not equivalent to
.
Solution:
If a, b, c are real numbers, then
![\dfrac{a}{b}=\dfrac{a\times c}{b\times c}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7Ba%5Ctimes%20c%7D%7Bb%5Ctimes%20c%7D)
The given fraction is
. It can be written as:
![\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5Ctimes%202%7D%7B2%5Ctimes%202%7D%3D%5Cdfrac%7B6%7D%7B4%7D)
The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be
, not
.
Therefore, the correct option is A.
The wall area is the product of the room perimeter and the room height:
A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²
The window and door area together is
A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²
The area of one roll of wallpaper is
A₃ = (2.5 ft)*(30 ft) = 75 ft²
Then the number of rolls of wallpaper required will be
1.1*(A₁ - A₂)/A₃ ≈ 4.74
5 rolls of wallpaper should be purchased.
_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
Answer:
472 in²
Step-by-step explanation:
This net is made up of 3 identical rectangles and 2 identical triangles.
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
<u>Rectangle</u>
- width = 8 in
- length = 19 in
<u>Triangle</u>
<u>Surface Area</u>
SA = 3(8 x 19) + 2(0.5 x 8 x 2)
⇒ SA = 456 + 16
⇒ SA = 472 in²
Ok so here it is
natural numbers: counting numbers like 1,2,3,4,5...
whole numbers: counting numbesr and 0, so 0,1,2,3,4
integers: negative counting numbers and 0, so -3,-2,-1,0,1,2,3...
ratioal numbers, things that can be represented in a/b
percent means parts out of 100 so
x%=x/100
that is a ratioal number
negatives are integers