So hmm the first term is -2
and if we divide one term by the term before it, we'd get the "common ratio" "r"
so hmm say -32/8 that gives us -4, so r = -4
thus
Answer:
x = 40
Step-by-step explanation:
Sum of interior angle of an n-polygon = (n - 2)*180
The polygon given is pentagon with 5 sides.
Sum of the polygon = (5 - 2)*180 = 540°
Therefore, sum of all its interior angles would be:
5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°
Solve for x
5x + 150 + 3x - 30 + 70 + 2x - 50 = 540
Collect like terms
5x + 3x + 2x + 150 - 30 + 70 - 59 = 540
10x + 140 = 540
10x = 540 - 140 (Subtraction property of equality)
10x = 400
x = 400/10 (division property of equality)
x = 40
18x = 162
x = 9
There are 9 cartons filled with 18 eggs each, which is 162 eggs in total.
Answer:
4:3
Step-by-step explanation:
He has 4 Soccer Medals, 3 Swimming Medals
So it would be 4:3
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be 
and 
the amounts of nickels and dimes that Carrie and Joan have, as 
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate by equalizing (Eq. 1) and (Eq. 2):
Then, we reduce the resulting formula by (Eq. 3):
And rest of variable are now determined:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
