Answer:
He has 11 quarters
Step-by-step explanation:
* Lets study the information in the problem to solve it
- The value of dimes and quarters is $6.35
- There are dimes and quarters
- The dime = 10 cents
- The quarter = 25 cents
* We must change the money from dollars to cents
∵ $1 = 100 cents
∴ $6.35 = 6.35 × 100 = 635 cents
- The number of dimes = 3 + 3 × number of quarters
* Let number of dimes is D and number of quarter is Q
∴ D = 3 + 3Q
∴ 10D + 25Q = 635
* Substitute the value of D from first equation in the second equation
∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket
∴ 10(3) + 10(3Q) + 25Q = 635
∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms
∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides
∴ 55Q = 605 ⇒ divide both sides by 55
∴ Q = 11
* He has 11 quarters
Answer: understand , strategize and implement
Hoped it helped , if it didn’t I apologize
Good luck
Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
If your current salary is the 100%, and you get a 2.5% increase, that means the new salary would be 102.5% of 25,000. This percentage could also be written as 1.025, which you would multiply to 25,000 to get your new salary.
1.025 · 25,000 = 25,625
Therefore, your new salary would be $25,625
Answer:
7
Step-by-step explanation:
I am assuming that the division problem looks like this:
-2| 1 2 -3 1
Going off that assumption, we will work this problem. The first thing you always do in the execution of synthetic division is to bring down the first number. Then multiply that number by the one "outside", which is -2, then put that number up under the next number in the line:
-2| 1 2 -3 1
-2
1
Now add the 2 and -2 and bring that down as a 0 and multiply the -2 times the 0:
-2| 1 2 -3 1
-2 0
1 0
Now add -3 and 0 to get -3 and multiply that -3 times the -2 and put the product up under the next numbe in line;
-2| 1 2 -3 1
-2 0 6
1 0 -3
Now add the 1 and the 6 to get the remainder:
7
Read more on Brainly.com - brainly.com/question/12992907#readmore
