Answer:
Step-by-step explanation:
<u>80 g rock displaces water:</u>
- 75 ml - 30 ml = 45 ml = 45 cm³
<u>Density = mass / volume:</u>
- d = 80 g / 45 cm³
- d = 1.78 g/cm³ (rounded)
<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>
The first option is correct
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
- $0.45 per basket for the first 100 baskets picked;
- $0.50 per basket for all baskets over 100 picked.
1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid
Altogether Jessica is paid
The answer should be $8 if you are trying to find the unit rate. All you have to do is divide 32 by 4 and you get 8. Hope that helped.