Pick 1: 3 apples out of 11 pieces of fruit → 3/11
Pick 2: 4 oranges out of 10 pieces of fruit → 4/10 = 2/5
Pick 1 AND Pick 2
3/11 x 2/5 = 6/55
Answer:
B) y = -3x+2
Step-by-step explanation:
plug (2,-4) and -3 into y = mx + b to find 'b'
-4 = -3(2) + b
b = -4+6 = 2
Answer:
1423/33
Step-by-step explanation:
Let x = 43.121212.........
Two digits are repeating after decimal point. So multiply both sides by 100
100x = 4312.1212 --------------(I)
<u> x = 43.1212 </u> -----------(II) { subtract equation (II) form (I)}
99x = 4269
x= 4269/99 {reduce to simplest form by giving by 3rd table}
x = 1423/33
V = 1/3Bh
B = 1/2(b1 + b2)t
V = 1/3[1/2(b1 + b2)t] * h
h = 24
b1 = 13
b2 = 29
t = ?
V = 2856
Substitute:
2856 = 1/3[1/2(13 + 29)t](24)
2856 = 1/6(42)(24)t
2856 = 7(24)t
2856 = 168t
t = 2856/168 = 17 in height of the trapeziod
Given:
The expression is
To find:
The factored form of given expression after factor out the coefficient of the variable term.
Solution:
We have,
Here, the coefficient of variable n is .
It can be written as
Taking out as common factor, we get
Therefore, the factored from of given expression is .