Let
x--------> the number of blue beads
y--------> the number of red beads
we know that

-------> equation 
------> equation 
equate equation
and equation 

find the value of x

therefore
the answer is
Ivan has

Answer:
35ab = 48
Step-by-step explanation:
given
5a = 6 ( divide both sides by 5 )
a = 
and
7b = 8 ( divide both sides by 7 )
b = 
substitute these values for a and b into the expression and simplify
35ab
= 35 ×
×
( divide 35 and 5 by 5 )
= 7 × 6 × 
= 42 ×
( divide 42 and 7 by 7 )
= 6 × 8
= 48
Answer:
2√2 = x
Step-by-step explanation:
x
---- = sin 45 degrees, or
4
x 1
----- = -----
4 √2
this results in x = 4 / √2 = 4√2/2 = 2√2 = x
Answer:
Length of the arc LM = 15.7 cm
Step-by-step explanation:
To determine the length of the arc LM we have to find the circumference of the the big circle then divide by the ratio of the angle or go straight to use the radians as the angle and look for the length.
Radius= 30cm
π= 3.142
Value of the angle is in radians
360° = 2π
π = 180
π/6 = 180/6
π/6= 30
Value of the angle is 30°
Length of the arc = 2πr * 30/360
Length of the arc = 2πr/12
Length of the arc = πr/6
Length of the arc = 30π/6
Length of the arc =5π
Length of the arc = 5*3.142
Length of the arc = 15.71
Approximately Length of the arc
= 15.7cm