Answer:
Option c. 81/2
Step-by-step explanation:
Fifth term: a5=?
First term: a1=8
Common ratio: r=3/2
an=a1*r^(n-1)
with n=5
a5=a1*r^(5-1)
a5=a1*r^4
Replacing the known values:
a5=8*(3/2)^4
a5=8*(3)^4/(2)^4
a5=8*81/16
Simplifying: Dividing the numerator and denominator by 8:
a5=(8*81/8)/(16/8)
a5=81/2
Answer: Option c. 81/2
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items
Answer:
If PQRS is a parallelogram with two adjacent congruent sides, then it must be a rhombus. A rhombus is a parallelogram characterized by having all sides congruent. Therefore, the adjacent sides must be congruent as well.
Answer:
98
Step-by-step explanation:
Express the numbers in terms of the product of their prime factors
14 = 2 × 7
49 = 7 × 7 = 7²
Choose the factors which occur most often between the 2 numbers
LCM = 2 × 7² = 2 × 49 = 98
