for z the fraction value is 1/26 and for other letters then Z is 25/26
Answer:
465
Step-by-step explanation:
Let the number of girls at the festival be--------- g
Let the number of boys at the festival be---------b
The conditions are;
2/7 g = 3/5 b ---------------(i)
g-b= 165 ---------------------(ii)---------make g the subject of the expression
g= 165 +b---------------------(iii)--------use this equation in (i)
2/7 (165 +b)= 3/5 b -------multiply both sides by 7
7*2/7(165+b) =3/5*7 b
2(165+b)=21/5 b ------multiply both sides by 5
5*2(165+b) = 21/5*5*b
10(165+b) = 21 b -------open brackets
1650 +10 b = 21 b------collect like terms
1650 = 21 b- 10 b
1650 = 11 b -----divide both sides by 11
1650/11 = 11b/11
150 = b = number of boys
Using equation (ii) where g-b =165 ; g-150 =165 , g= 165+150 =315 number of girls
Total number of children at the festival = 150+315 =465
In the parallelogram ABCD, diagonals AC and BD intersect at point E.
According to the definition of parallelogram, opposite sides are equal and parallel to each other. That means, AB = DC
Now as AB and DC are parallel, so according to the property of Alternate Interior Angles, we will get:
∠EAB = ∠ECD and ∠EBA = ∠EDC
Thus , in two triangles ΔABE and ΔDCE, two angles and one side are equal. So, ΔABE and ΔDCE are congruent to each other.
That means, AE = CE and BE = DE
So, AE is congruent to CE and BE is congruent to DE
First, let's convert the nominal interest(r) into effective interest rate(i). The formula is
i = (1 + r/m)^m - 1
where m is the number of quarters in a year (m = 4)
i = (1 + 0.024/4)⁴ -1
i = 0.024217
The model would then be:
Future Worth = $3,000(1 + 0.024217)^t, where t is the number of years
Answer:
option B
6
Step-by-step explanation:
Given in the diagram two triangles ABC and DEF,
length of the side AB = 2
length of the side DE = 12
Scale factor of triangle ABC to triangle DEF, is the scale factor of side AB to DE
AB : DE
2 : 12
1 : 12/2
1 : 6
this means triangle DEF is 6 times larger than triangle ABC
or
triangle ABC is 1/6 of triangle DEF
