Answer:
5 months
Step-by-step explanation:
To solve this problem, we need to create and algebraic equation for when Jill's weight will be equal to Paris's. If we take their current weight and then add the additional weight gain per month times the number of months, we can calculate the amount of time it will take for their weight to be equal by solving for m.

Answer:
9.7 * 10 to power of 4
Step-by-step explanation:
Answer:
https://www.google.com/url?sa=i&source=imgres&cd=&ved=2ahUKEwig0N2PrePnAhVLQq0KHQsCAi0QjRx6BAgBEAQ&url=http%3A%2F%2Fmathworld.wolfram.com%2F345Triangle.html&psig=AOvVaw3V2l2h-p2cQ4XBgk2MthwI&ust=1582398823143518
Step-by-step explanation:
click it
Answer:
a. 
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:

Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4
Answer: The required fourth term of the geometric sequence is 
Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

We know that
the n-th term of a geometric sequence with first term a1 and common ratio r given by

Therefore, the fourth term of the given geometric sequence will be
Thus, the required fourth term of the geometric sequence is 