Answer:
If there are 2 quarters for every 3 nickels,
then there are 
quarters.
If there are 2 dimes for every quarter,
then there are 
dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are 
pennies.
Answer:
f(-2) = 4
f(0) = 6
f(5) = 11
Step-by-step explanation:
You just need to plug in the different values of x into the equation
f(x)=x+6
When x = -2, then f(-2) = -2 + 6 = 4
When x = 0, then f(0) = 0 + 6 = 6
When x = 5, then f(5) = 5 + 6 = 11
Answer:
150 degrees
Step-by-step explanation:
Use the equation below to find the sum of all the interior angles in this polygon:
(number of sides - 2)*180
number of sides = 6
(6-2)*(180) = 4*(180) = 720
Now that you know the total sum, subtract all other angles to find x:
720 - 90 - 162 - 101 - 96 - 121 = 150
Answer:
$5x + $4y ≤ $120
let x = 10
y = 5
$70 ≤ 120
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater or equal to
≤ means less than or equal to
the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤
$5x + $4y ≤ $120
let x = 10
y = 5
(50) + 20 ≤ 120
$70 ≤ 120
Answer:
7.8655
Step-by-step explanation:
Given the functionl
Where,
We have, replacing,
We need to derivate and verify for stable equilibrum that,
Then,
Roots in,
We obtain U"(x), then we have
For 
Unestable
For 
Stable
