First, we can simplify the left side. (6+8x)/2 is equal to 3 + 4x. We can put the equation together at this point.
3 + 4x = 5x
we can subtract 4x from both sides to get our final answer,
3 = x, or x = 3. :)
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below
The total cost to make 50 puppets=$1025
Answer:
6.7 cm
Step-by-step explanation:
To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...
B = 180° -82° -55° = 43°
Now, you put the numbers you know into the formula given and solve for b.
sin(A)/a = sin(B)/b
sin(55°)/(8 cm) = sin(43°)/b
Cross multiplying gives ...
b·sin(55°) = (8 cm)·sin(43°)
and dividing by the coefficient of b gives you ...
b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm
Answer:
x=0.69897009
Step-by-step explanation:
expand by logarithms
10^x=5
=log(10^x)=log(5)
=x log(10)=log (5)
log base 10 of 10 is 1
x.l =log(5)
multiple bothside by 1
x=log(5)
x=0.6989709
