-2 pennies, 4 nickels, 4 dimes
-2 pennies, 4 nickels, 3 dimes
-2 pennies, 4 nickels, 2 dimes
And so on. Do you kind of get the idea?
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
So 90 is 4/5 of a number.
4/5n=90
4n=450
n=450/4
n=112.5
Answer:
A. 15,840 feet
Step-by-step explanation:
1 mile = 5,280 feet (I think "five tomatoes" is helpful: five tomatoes --> five-two-eight-oh)
multiply both sides of equation by 3: 1 * 3 = 5,280 * 3
simplify: 3 miles = 15,840 feet, which means A is the answer
Answer:
b. (60)
Step-by-step explanation:
n represents the number of payments. If there are 4 per year for 15 years, that's a total of 4×15 = 60 payments.
n = 60