Answer:
Option F
Step-by-step explanation:
Let the number be n.
Sum of a number and 5 is n + 5.
Sum of a number and five divided by fifteen is
( n + 5 ) / 15
Answer:
C) (-3, -1)
Step-by-step explanation:
y = 5/3x + 4
When x = 0, y = 4
When y = 0, x = -2.4
graph the points: (0, 4) and (-2.4, 0)
y = -2/3x - 3
When x = 0, y = -3
When y = 0, x = -4.5
graph the points: (0, -3) and (-4.5, 0)
The lines will cross at point: (-3, -1)
<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>
