Answer:
60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
Answer:93
Step-by-step explanation:
Answer:
Step-by-step explanation:
Area of a triangle is A = height x base / 2
So plug in what you know.
42 = (14 x b)/2 get rid of the 2 by multiplying both sides by 2 which gives:
84 = 14 x b get rid of the 14 by dividing both sides by 14
b = 84/14
b=6 cm
Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.
We want to find how many ¹/₃ can be made out of ³/₄
The mathematical sum is ³/₄ ÷ ¹/₃
The method for dividing fractions is to flip the second fraction then multiply the two fraction
³/₄ × ³/₁ = ⁹/₄ = 2 ¹/₄ cuts
The greatest number can be cut are 2 pieces with 0.25 meter left over