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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

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A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p
blsea [12.9K]

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

6 0
4 years ago
What is the anser to the equation 2^{2x+2} = 2^{3x}
Marianna [84]

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

8 0
3 years ago
Reuben​ says, "two days ago i was 20 years old. later next​ year, i will be 23 years​ old." how is this​ possible?
Aneli [31]
Let us always base on the present age. We denote this by x. Now, the age he had 2 years ago would then be denoted as (x-2). Let's equate this to 20 years old.

x - 2 = 20
x = 20 + 2
x = 22 years old
He should be 22 years old now.

Let's check the other condition. After 1 year, his age should be (x+1). Let's equate this to 23 years old.

x + 1 = 23
x = 23 - 1
x = 22


Thus, this is possible if Reuben is 22 years old as of the present.
7 0
4 years ago
Thx u if u get the answer
trapecia [35]
So the man's age is divisible by 3, 5, and 7 but not by 2, 4, 6, or 8.

3 * 5 * 7 = 105
105 is not divisible by 2, 4, 6, or 8.
Not sure if any lower ages are there, but since the man is 105 years old, you would receive $105.
5 0
4 years ago
Read 2 more answers
If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?
aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where  -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0
3 years ago
Read 2 more answers
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