Step-by-step explanation:
Let's say S is the number of small boxes and L is the number of large boxes.
S + L = 26
7S + 13L = 254
Solve the system of equations using substitution.
7S + 13(26 − S) = 254
7S + 338 − 13S = 254
84 − 6S = 0
S = 14
L = 26 − S
L = 12
The company shipped 14 small boxes and 12 large boxes.
The common difference is 12. However, let’s take a look at how we got there!
First take the 2nd term (23) and find the difference from the 1st term (11). The difference is 12.
Repeat this for the remaining terms…
35 - 23 = 12
47 - 35 = 12
59 - 47 = 12
The common difference is 12.
Answer:
Perimeter of the final star = 40 cm²
Step-by-step Explanation:
The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.
1 triangular tiles gas a perimeter of 10cm.
Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.
Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles
= ⅔ of (10*6)
= ⅔*60
= 2*20
Perimeter of the final star = 40 cm²
