SOLUTION: write an equation in standard form for the given information
(9,4),m=-1/3
(-3,-1) (2,-2)
A piggy bank contains only quarters and dimes. The total value in the bank is $5.50.
Algebra.Com
Question 117593: write an equation in standard form for the given information
(9,4),m=-1/3
(-3,-1) (2,-2)
A piggy bank contains only quarters and dimes. The total value in the bank is $5.50.
write an equation in stnadard form that models the possible combinations of nickels and quarters in the piggy bank.
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
q = number of quarters
d = number of dimes
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
write an equation in standard form for the given information
(9,4),m=-1/3
In the slope/intercept form y = mx + b:
y = x + b
Substitute for x & y and find b
4 = (9) + b
4 = -3 + b
4 + 3 = b
b = 7
Therefore we have the slope intercept equation:
y = x + 7
Get rid of the fraction multiply by 3
3y = -x + 21
Arrange in the standard form, add x to both sides
x + 3y = +21; check equation by substituting the given values for x and y
:
:
:
(-3,-1) (2,-2)
Find the slope using the slope equation: m =
x1 = -3; y1 = -1; x2 = 2; y2 = -2; substitute in the slope equation:
m = = =
:
Use the slope/intercept equation again
y = x + b
:
Substitute x1 and y1 and find b
-1 = (-3) + b
-1 = + b
- - = b
- = b
Therefore we have the point/slope equation (y = mx + b) of:
y = x -
Multiply by 5 to get rid of the denominator
5y = -x - 8
Convert to standard form
x + 5y = -8; You can check it by substituting the given values for x and y
:
:
:
A piggy bank contains only quarters and dimes. The total value in the bank is $5.50.
write an equation in standard form that models the possible combinations of nickels and quarters in the piggy bank.
:
Let x = no of dimes; Let y = no. of quarters.
.05x + .25y = 5.50
:
They don't like fractions or decimals in the standard form, mult eq by 100
5x + 25y = 550
;
:
Did this help?
RELATED QUESTIONS
Write an equation in standard form for the line through the given points
L (0,4) and M (answered by Alan3354)
Melissa has a piggy bank filled with pennies and quarters, the piggy bank has a total of... (answered by stanbon)
Write the equation of the line that has the indicated slope and contains the indicated... (answered by josgarithmetic)
Okay. My question is...
write an equation of the line satisfying
the given conditions... (answered by nerdybill)
Write an equation in standard form of the line that passes through the given point and... (answered by stanbon)
Byron has 72 coins in his piggy bank. The piggy bank contains only dimes quarters.If he... (answered by fractalier)
write an equation in standard form using only integers for each of line described
the... (answered by Edwin McCravy)
1.Determine the slope that passes through each pair of points.
(-2,-8)(1,4)
2.... (answered by EMStelley,Alan3354,jojo14344)
write in standard form an equation of the line that passes through the given point and... (answered by rfer)