1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
3 years ago
6

How many different ways can you make 50 cents if you have 1 quarter, 5 dimes, and 10 nickels?

Mathematics
1 answer:
german3 years ago
5 0

Answer: There are 10 different ways!  

Explanation:

You need to find non-negative numbers N, D, and Q so that:

5N + 10D + 25Q = 50  

N + 2D + 5Q = 10

 

Q = 0 , 1 , 2  

 If Q = 1, then you have:

N + 2D = 5  

Q = 1 , D = 2 , N = 1

Q = 1 , D = 1 , N = 3

Q = 1 , D = 0 , N = 5

 N + 2D = 10  

This gives the last solutions:

Q = 0 , D = 5 , N = 0

Q = 0 , D = 4 , N = 2

Q = 0 , D = 3 , N = 4

Q = 0 , D = 2 , N = 6

Q = 0 , D = 1 , N = 8

Q = 0 , D = 0 , N = 10

You might be interested in
True or False: No matter which factors you start with, you will always end up with the same numbers in the end using prime facto
seropon [69]

Answer:

True

Step-by-step explanation:

In Prime factorization, we are expected to obtain factors that are prime numbers that can multiply themselves to give the original number. So long as the first factor can divide the number without a remainder, other remaining factors can be multiplied together to give the original number.

Prime factorization of the number, 15 goes thus;

15/3=5

5/5=1

3*5=15

So, all the factors multiply to give the original number.

8 0
3 years ago
5. Trista has of a yard of ribbon to use for making decorative frames. If one frame used
Lunna [17]
0 yards remaining if she used one yard
5 0
3 years ago
How to combine like terms
aev [14]

Example: 1x+2y+3z+4a+5x+6y+7z+8+9

We can see that there is more than one number with the variable x, therefore, we say they're ''like terms'' and because of that they can be summed. We do this with all of the other numbers with similar variables. If no numbers with similar variables are left, like 4a, you don't do anything but write them as they are. You can also see that 8 and 9 can also be summed because neither of them has a variable, therefore they're similar.

In this step, you just do the operation with the numbers and keep the same variable.

(1x+5x)+(2y+6y)+(3z+7z)+4a+(8+9)

(6x)+(8y)+(10z)+4a+(17)

since there are not more numbers similar in variables, this operation is done.

6x+8y+10z+4a+17

8 0
3 years ago
What is the estimate of 824 ÷ 42
Fiesta28 [93]

Answer:34.333 repeating

Step-by-step explanation:

8 0
3 years ago
Which number is missing from the following prime factorization expression? 792 = __ x 2 x 2 x 2 x 3 x 11 A. 2 B. 3 C. 5 D. 7
lions [1.4K]

Answer:

3

Step-by-step explanation:

Evaluate 2 x 2 x 2 x 3 x 11 (better written as 2·2·2·3·11, because "x" is a variable name, not a math operator).

2·2·2·3·11 = 8·33 = 264

Then divide 792 by this 264 to find the final factor:

final factor = 792/264 = 3

Then the prime factorization of 792 is 2·2·2·3·3·11

which we obtained by multiplying 2 x 2 x 2 x 3 x 11 by 3.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Two-Thirds of the 96 members approved the plan
    12·1 answer
  • The random variable x represents the number of dogs per household in a town with 1,000 households. Find the probability of rando
    9·1 answer
  • Velvet fabric costs $1.1.49 a yard. Yvette buys 9.3 yards. Yvette's estimated cost of the velvet is
    6·1 answer
  • What is 4/11 divided by 4/9? Perform the indicated operation.
    12·2 answers
  • 9. Which of the following do you need to know to determine the surface area and volume of a sphere?
    13·1 answer
  • Which side of the right triangle is always the longest? And what is it called?
    7·2 answers
  • Determine the total cost or selling price to the nearest cent $65 video game ; 25% discount?
    7·1 answer
  • Please help me solve this question will give you braisnlt !
    7·1 answer
  • Pls answer..<br>5 men earns Rs. 7500 in 3 days, gind the amount that earn by 3 men by 4 days, ​
    11·1 answer
  • Round 78300 nearest hundred
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!