Jessie has some nickels, dimes, and quarters in her bank. the number of coins is 31. the expression 0.05n + 0.10d +0.24q represents the value of the coins, which is $3.25. jessie has four more dimes than she does quarters. how many of each coin does jessie have?

Given expression for all coins is 0.05n + 0.10d +0.25q .

Total value of all coins = $3.25.

Therefore,

0.05n + 0.10d +0.25q = 3.25 (1)

Total number of coins = 31.

We can setup second equation as

n+d+q = 31.  (2).

Jessie has four more dimes than she does quarters.

Number of quarters = q.

Number of dimes is four more than number of quarter.

Therefore,

d = q + 4. (3)

Substituting d=q+4 in first and second equation we get

0.05n + 0.10(q+4) +0.25q = 3.25 => 0.05n +0.10q + 0.40 +0.25q = 3.25

0.05n +0.35q = 3.25 - 0.40

0.05n +0.35q = 2.85. (4)

n+d+q = 31  => n+ q+4 +q = 31.

n+2q  =31 -4

n+2q = 27.    (5

Solving equation (5) for n

n = 27-2q.

Substituting n = 27-2q in (4) equation, we get

0.05(27-2q)  +0.35q = 2.85

1.35 - 0.10q +0.35q = 2.85

1.35 +0.25q = 2.85

0.25q = 2.85 - 1.35

0.25q = 1.5.

Dividing both sides by 0.25, we get

q = 6.

Plugging q=6 in n = 27-2q, we get

n = 27 -2(6) = 27-12 = 15.

Plugging n=15 and q=6 in second equation n+d+q = 31.

15+d+6 = 31.

21 +d = 31.

Subtracting 21 from both sides, we get

21 +d -21= 31-21

d = 10.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|