32m = 8m · 4
56mp = 8m · 7p
32m + 56mp = 8m(4 + 7p)
Given:
P = Set of all triangles,
Q = Set of scalene triangles,
R = Set of isosceles triangles and
S = Set of equilateral triangles.
To find:
Which of the following statements are true or false?
Solution:
We know that,
Scalene triangles : All sides are different.
Isosceles triangles : Two sides are equal.
equilateral triangles : All sides are equal.
Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.

So, (a) is true.
All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.

So, (b) is false.
Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .

So, (c) is true.
7/21 can be simplified to 1/3 because 7 divided by 7 equals 7 and 21 divided by 7 equals 3.
Answer: 3 11/20
explanation: change 3 3/4 to a mixed number which is 15/4 then get a common denominator which is 75/20 - 4/20 then subtract and get 71/20 and then change to a mixed number and simplify to get 3 11/20
Answer:
Cost of the box of pencils = x = $4
Cost of the notebook = x+2 = 4+2 = $6
Cost of package of pens = 3x = 3(4) = $12
Step-by-step explanation:
Let the cost of the box of pencils = x
Cost of the notebook = 2 more than the pencils cost = x+2
Cost of package of pens = 3 times the pencils cost = 3x
The total was $22, so we can say:
(x)+(x+2)+(3x) = 22
5x=22-2
x=20/5
x=$4
Cost of the box of pencils = x = $4
Cost of the notebook = x+2 = 4+2 = $6
Cost of package of pens = 3x = 3(4) = $12