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:
2,-1
Step-by-step explanation:
graph, find length between points (sqrt 20) and slope (-2). sqrt20/2=sqrt5.
change in y/change in x = -2, change in y squared + change in x squared= 5. solve system of equations to get x=1, y=-2, or x=-1, y=2. i think i did something wrong but the answer should be correct
Harry made $10,000 that the end of the year.
1/2 over -2/5 + (-1/4)
10/20 over -8/20 + (-5/20)
1 5/20 + (-5/20)
1
The answer is 1
