Answer:
for 3644 produced books the costs will be the same.
Step-by-step explanation:
x = number of books
f(x) = production method 1 costs
g(x) = production method 2 costs
f(x) = 11.75x + 57077
g(x) = 21.25x + 22459
for what number of books (x) will that be the same ?
11.75x + 57077 = 21.25x + 22459
34618 = 9.5x
x = 34618 / 9.5 = 3644
Let shirts be x and ties be y
3x+5y=$60 Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39 Equation 2 (Equation 2 will be denoted by !)
*x2 6x + 10y = $120
!x3 6x + 9y = $117
*-! y = 120-117 =3
Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15
Shirts are $15
The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>
Substitute the given values in the formula.
Multiply by sin 89° on both sides.
The length of AC is 16 km.
Answer:
y = -12
Step-by-step explanation:
any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line
0.70833333333 is the answer
