The answer would be 4 x 4 = 16+14= 30
$3.50 being the amount the item <em>t</em> costs and <em>t</em> being the number of this item.
S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
9514 1404 393
Answer:
8x -24 = 9y
Step-by-step explanation:
We assume your equation is ...
2/3x -2 = 3/4y
__
Fractions can be eliminated by multiplying the equation by the least common denominator of the fractions.
LCM(3, 4) = 12
Multiplying the equation by 12 gives you ...
12(2/3x -2) = 12(3/4y)
8x -24 = 9y