I think x=70 because it is an isosceles triangle
Given : Each Dentalia shell is about 1.5 inches long
⇒ Length of Necklace made with 24 Dentalia shells is (1.5 × 24) = 36 inches
⇒ Length of Necklace made with 18 Dentalia shells is (1.5 × 18) = 27 inches
We can notice that 24 Dentalia shells Necklace is Longer than 18 Dentalia shells Necklace
The Difference of Length of 24 Dentalia shells Necklace and 18 Dentalia shells Necklace gives how much longer the 24 Dentalia shells Necklace is than 18 Dentalia shells Necklace.
⇒ Difference = 36 - 27 = 9 inches
⇒ 24 Dentalia shells Necklace is 9 inches longer than 18 Dentalia shells Necklace
Answer:
x = 0
Step-by-step explanation:
if 2y + x = 4
we can assume that y = 2
if y - 3x = 2
it means 2 - 0 = 2
therefore x = 0
Answer: Hello there!
If D is the price of one drink and P the price of one bag of popcorn, we know that:
9*D + 2*P = $86.50
3*D + 9*P = $89.25
Now we can isolate one of the therms in the first equation and replace it in the second one:
Lets isolate D in the first equation
9*D + 2*P = $86.50
9*D = $86.50 - 2*P
D = ( $86.50 - 2*P)/9
now we can replace in in the second equation and obtain the value of P
3*D + 9*P = $89.25
3*( $86.50 - 2*P)/9 + 9*P = $89.25
( $86.50 - 2*P)/3 + 9*P = $89.25
$28.83 - (2/3)P + 9P = $89.25
(9 - 2/3)P = $89.25 - $28.83 = $60.42
(25/3)P = $60.42
P = $60.42*(3/25)= $7.25
So each bag of popcorn cost $7.25.
Now we can replace it in the first equation and find the price for the drinks:
9*D + 2*P = $86.50
9*D + 2*$7.25 = $86.50
9*D + $14.50 = $86.50
9*D = $86.50 - $14.50 = $72
D = $72/9 = $8
So each drink cost $8.
And now we know the price for one bag of popcorn and for one drink,