Let's make a system of equations to solve for this:
n + q = 84
0.05n + 0.25q = 12.80
where n = nickels and q = quarters.
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Solve for n in the first equation by subtracting q from both sides.
n = 84 - q
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Plug n into the second equation.
0.05(84 - q) + 0.25q = 12.80
Distribute 0.05 inside the parentheses.
4.2 - 0.05q + 0.25q = 12.80
Combine like terms.
4.2 + 0.2q = 12.80
Subtract 4.2 from both sides.
0.2q = 8.6
Divide both sides by 0.2.
q = 43
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Plug 43 for q in the first equation.
n + (43) = 84
Subtract 43 from both sides.
n = 41
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There are 41 nickels and 43 quarters in the piggy bank. ✅
A quadrilateral always has interior angles that add up to 360 degrees.
Answer:
Resulting plot in the image attached
Step-by-step explanation:
Start by making a table of (x,y) pairs that satisfy this equation. Notice that two pairs would be enough, but it is always safer to obtain at least three to see them actually "aligned".
We are trying to find values for y when x= 0, 2, and 4 to make our calculations simple:
When x = 0 then: So we plot the value (0,-3) on the x-y plane.
When x = 2 then: So we plot the value (2,-2) on the x-y plane.
When x = 0 then: So we plot the value (4,-1) on the x-y plane.
Please see the points and the resulting line in the image attached
Answer:
The input in this equation is c(v), and the output is 125v. For example, if you input 2 into c(v) and get c(2), you will get 125(2) = 250 for two visits.
Answer:
The solution to the system of equations be:
Step-by-step explanation:
Given the system of equations
4x-2y = 16
y = -5x+13
Solving the system of equations using the substitution method
Substitute y = -5x+13 in 4x-2y = 16
Now isolate x for
Add 26 to both sides
Simplify
Divide both sides by 14
Simplify
For y = -5x+13
Substitute x = 3
Simplify
Therefore, the solution to the system of equations be: