a collection of nickels, dimes, and quarters consists of 10 coins with a total of $1.45. if the number of dimes is equal to the number of nickels, find the number of each type of coins.

3 nickels, 3 dimes, 4 quarters

Step-by-step explanation:

Let n, d, and q represent the numbers of nickels, dimes, and quarters, respectively.

n + d + q = 10

The total value is $1.45

0.05n + 0.1d + 0.25q = 1.45

The number of dimes is equal to the number of nickels.

n = d

We have a system of 3 equations.

n + d + q = 10

0.05n + 0.1d + 0.25q = 1.45

n = d

Substitute n for d in the first and second equations.

n + n + q = 10

0.05n + 0.1n + 0.25q = 1.45

2n + q = 10

0.15n + 0.25q = 1.45     (Equation 1)

Solve the first equation for q.

q = 10 - 2n

Substitute 10 - 2n for q in Equation 1.

0.15n + 0.25(10 - 2n) = 1.45

0.15n + 2.5 - 0.5n = 1.45

-0.35n = -1.05

n = 3

d = n = 3

n + d + q = 10

3 + 3 + q = 10

q + 6 = 10

q = 4

3 nickels, 3 dimes, 4 quarters

the infinity sign

step-by-step explanation:

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)