Answer:
s = 1.35 (See explanation!)
Step-by-step explanation:
To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:
Equation:
4s = 5.4
Note: the 4s is the total perimeter (4 * side)
Now, solve:
4s = 5.4
Divide by four to isolate the s:
4s/4 = 5.4/4
Finally:
s = 1.35
Answer: 7 x + 6 = 6 x minus 3
Step-by-step explanation:
- 2 (x + 3) + 5 x = 3 (2 x minus 1)
- Now you distribute.
- 2(x) + 2(3) = 2x+6
- And 3(2x) minus 3(1) = 6x minus 3
- 2x+6+5x = 6x minus 3
- Then combine like terms
- 2x +5x=7x and there are no other like terms on either side of the equation.
- 7x+6= 6x minus 3
Every hexagon clearly has 6 sides. Nevertheless, every time you "glue" two hexagons together, you "lose" 2 sides to your count, because the sides where the two hexagons meet are not exterior sides anymore, and so they are not taken into account in our counting.
Also observe that with n hexagons you have n-1 points of contact between hexagons.
Since every hexagon has 6 sides and every gluing point takes away 2 sides, the number of exterior sides with n hexagons is
Let's plug some values for n:
You can check that these values are correct by counting the sides on the figure you have.
Finally, we can count the sides of a train with 10 hexagons by plugging n=10 in our formula:
Note: the numbers we've given are the number of sides that form the perimeter. So, the actual perimeters are the number of sides multiplied by the length of the side itself: if we let 
be the length of the side, the perimeters will be 
for the first 4 trains, and 
for the 10-hexagon train.
Answer:
94%
Step-by-step explanation:
First you multiply 188 to 100, which is 18800. Then you divide that with 200. The number you get is your answer.
?/100 = 188/200 The ? is the percentage.
Answer: $308
Step-by-step explanation:
Based on the information given in the question, the account balance of Ms. Smith at the end of June will be:
= $8118 + $710 - $1211 + $809
= $8426
Therefore, the difference in her account balance than it was on April 1st will be:
= $8426 - $8118
= $308
