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Vitek1552 [10]
3 years ago
11

If Ricky has 3 times as many nickels as dimes and they have a combined value of 150 cents, how many of

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

6 dimes and 18 nickels

Step-by-step explanation:

Pick two variables to represent the number of nickels and dimes Ricky has.

Let's say n = number of nickels and d = number of dimes.

Ricky has 150 cents total. Since one nickel is worth 5 cents, and one dime is worth 10 cents, their value in cents would be 5n and 10d. So, 150 = 5n + 10d.

Since Ricky has three times as many nickels as dimes, n = 3d. So, 150 = 5(3d) + 10d.

From there, you have to solve for d first.

150 = 5(3d) + 10d = 15d + 10d = 25d

150/25 = 25d/25

6 = d

Then, plug it back in for the value of n.

150 = 5n + 10(6) = 5n + 60

150 - 60 = 5n + 60 - 60

90/5 = 5n/5

18 = n

Ricky has 6 dimes and 18 nickels.

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Rory's battery was full at 6:00 a.M, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three o
Taya2010 [7]

Complete question:

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.

12:00 p.m.

3:00 p.m.

5:00 p.m.

8:00 p.m.

11:00 p.m.

The graph is attached

Answer:

3:00 p.m

5:00 p.m

11:00 p.m

Step-by-step explanation:

From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).

The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.

We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6

From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.

Converting from 24 hr to 12 hr time, we have:

6 + 8hrs = 14:00 = 2:00 p.m

6 + 9hrs = 15:00 = 3:00 p.m

6 + 10 hrs = 16:00 = 4:00 p.m

6 + 11 hrs = 17:00 = 5:00 p.m

6 + 12 hrs = 18:00 = 6:00 p.m

6 + 16 hrs = 22:00 = 10:00 p.m

6 + 17 hrs = 23:00 = 11:00 p.m

6 + 18 hrs = 00:00 = 12:00 am

6 + 19 = 1 : 00 = 1:00 a.m

6 + 20 = 2:00 = 2:00 a.m

From the options given in the question, we have:

3:00 p.m; 5:00 p.m; 11:00 p.m

Therefore, times could Rory's phone have been plugged into the charger are:

3:00 p.m

5:00 p.m

11:00 p.m

5 0
3 years ago
Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 7 miles
polet [3.4K]
<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)

(a+1)^2 = a^2 + 7^2

FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49

Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a = 

<span>a = 24 mi, Juan's distance from home

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span></span>
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