<span>Let n = the number of nickles
Let q = the number of quarters
Then for your problem we have
(1) n + q = 43 and
(2) 5*n + 25*q = 100*6.95 (always work in cents to avoid decimal numbers) or
(3) 5*n + 25*q = 695
Now substitute n of (1) into (3) and get
(4) 5*(43 - q) + 25*q = 695 or
(5) 215 - 5*q + 25*q = 695 or
(6) 20*q = 695 - 215 or
(7) 20*q = 480 or
(8) q = 24
Then using (1) we get
(9) n + 24 = 43 or
(10) n = 19
Let's check these values.
Is (.05*19 + .25*24 = 6.95)?
Is (.95 + 6.00 = 6.95)?
Is (6.95 = 6.95)? Yes
Answer: Kevin and Randy have 19 nickles and 24 quarters in the jar.</span>
Answer:
26/20
Step-by-step explanation:
y2-y1 divided by x2-x1
4-24= -20
3-29= -26
-20/-26= m
perpendicular means to switch the numbers and change the sign
a perpendicular slope to -20/-26 is 26/20.
Answer:
a =3
b = -5
c = 4
Step-by-step explanation:
3x^2+4=5x
Subtract 5x from each side
3x^2-5x+4=5x-5x
3x^2-5x+4=0
The equation is in the form
ax^2 +bx+c =0
a =3
b = -5
c = 4
Answer: Use the same recipe but just throw away 4 cupcakes
Associative property works in addition and multiplication.
Associative property in Addition: (a + b)+ c = a + (b + c)
Associative property in Multiplication: (a x b) x c = a x (b x c)
Associative property in Subtraction: (a - b) - c is not equal to a - (b - c)
Associative property in Division: (a divided by b) divided by c is not equal to a divided by (b divided by c).
Thus, associative property is not true for all integers.
