Answer:
2005 points
Step-by-step explanation:
1. 35x50=750
2. 2 min. 45 sec.=(-165 sec.)
3. 500x5=2500
4. 2500-495=2005
Hope this helped!!:)
Answer:
14.7%
Step-by-step explanation:
82/12 = 100/x
x= 14.7
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
Answer:
The answer to your question is 10 dm
Step-by-step explanation:
Data
length of a rectangle = x + 4
height of a rectangle = x - 6
Area of the rectangle = 56 dm²
length of the square = x
Process
1.- Find x with the information given for the rectangle
Area = length x height
Substitution
56 = (x + 4)(x - 6)
Expand
56 = x² - 2x - 24
Equal to zero
x² - 2x - 24 - 56 = 0
Simplify
x² - 2x - 80 = 0
Factor
(x - 10)(x + 8) = 0
Equal to zero
x₁ -10 = 0 x₂ + 8 = 0
x₁ = 10 x₂ = -8
2.- Conclusion
The length of the square is 10 dm because there are no negative lengths.
we have
we know that
The absolute value has two solutions
Subtract
both sides
Step 1
Find the first solution (Case positive)
![-[+(x-12)]=-0.75](https://tex.z-dn.net/?f=-%5B%2B%28x-12%29%5D%3D-0.75)

Subtract
both sides


Multiply by
both sides

Step 2
Find the second solution (Case negative)
![-[-(x-12)]=-0.75](https://tex.z-dn.net/?f=-%5B-%28x-12%29%5D%3D-0.75)

Adds
both sides


<u>Statements</u>
<u>case A)</u> The equation will have no solutions
The statement is False
Because the equation has two solutions------> See the procedure
<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation
The statement is True -----> See the procedure
<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case
The statement is False -----> See the procedure
case D) The positive case of this equation is 0.5 – |x – 12| = 0.25
The statement is False
Because the positive case is
-----> see the procedure
case E) The negative case of this equation is x – 12 = –0.75
The statement is True -----> see the procedure
<u>case F)</u> The equation will have only 1 solution
The statement is False
Because The equation has two solutions------> See the procedure