FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS
1 answer:
You might be interested in
<u>QUESTION 1</u>
The given sequence is .
The first term of the sequence is
The second term is
The common ratio can be found using any two consecutive terms of the sequence.
Thus, the common ratio is given by .
This implies that,
This simplifies to,
The correct answer is C
<u>QUESTION 2</u>
The sum of the first n terms of a geometric sequence is given by;
.
Since we are looking for the first five terms, we substitute ,
and
into the formula to obtain,
This will evaluate to give us;
The correct answer is A
Answer:
Mrs. grub bought total number of shirts = 1
Mrs. grub bought total number of hats = 8
Step-by-step explanation:
Let Mrs. grub bought total number of shirts = x
Let Mrs. grub bought total number of hats = y
As given,
Price of 1 shirt = $4
Price of 1 hat = $12
⇒ Price of x shirts = $ 4x
Price of y hats = $ 12y
Given that,
Mrs. Grubb bought total piece of clothes = 9
⇒ x + y = 9 .......(1)
Also given,
She bought all clothing for $100
⇒ 4x + 12 y = 100 ........(2)
Divide equation (2) by 4 we get
x + 3y = 25 .......(3)
Now,
Subtract equation (1) from equation (3) , we get
x + 3y - ( x + y ) = 25 - 9
⇒ x + 3y - x - y = 16
⇒2y = 16
⇒y = = 8
⇒ y = 8
Put value of y in equation (3), we get
x + 3(8) = 25
⇒x + 24 = 25
⇒x = 25 - 24 = 1
⇒x = 1
∴ we get
Mrs. grub bought total number of shirts = x = 1
Mrs. grub bought total number of hats = y = 8