Answer:
x = 4
Step-by-step explanation:
Given that the triangle is equilateral then the measure of each angle is 60°
Equate 9x + 24 to 60 and solve for x
9x + 24 = 60 ( subtract 24 from each side )
9x = 36 ( divide both sides by 9 )
x = 4
Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
Answer:
36/5
Step-by-step explanation:
x/3 + 6 -2x = -6
multiply the whole equation by 3 to get rid of the denominator of the first x term.
x+18-6x = -18
move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case
x+18-6x-18=-18-18
x-6x = -36
simplify
-5x = -36
divide both sides by -5 to isolate x
x = -36/-5
=36/5
Solving as fractions, the amount of feet from each side of the wall would be: 4⅛ feet.
<h3>Solving Fractions</h3>
Given the following:
- length of the wall = 10¾ feet
- length of the picture = 2½ feet
Therefore:
Amount of feet from each side of the wall = [10¾ - 2½]/2
= [43/4 - 5/2]/2
= [(43 - 10)/4]/2
= 33/4 × 1/2
= 33/8
= 4⅛ feet
Therefore, solving as fractions, the amount of feet from each side of the wall would be: 4⅛ feet.
Learn more about fractions on:
brainly.com/question/17220365
Answer:
( u ÷ 3) times 7
Step-by-step explanation:
Must know what u equals to find actual answer to equation.
