Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?


Answer 1


Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be x, y, z the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75(Eq. 1)

In addition, we get the following identities:

i)He has three more nickels than dimes

z + 3 = y(Eq. 2)

ii)And five times as many pennies as dimes

x = 5\cdot z(Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75

0.20\cdot z = 0.60

z = 3

The remaining variables are y = 6 and x = 15.

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer 2


Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

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Step-by-step explanation:

The double bar around any number means absolute value. Absolute value makes any number positive.


9.3 = 9.3

|-2.1| = 2.1

-13.7 = -13.7


Negatives are always the smallest:

-13.7, -4.2, |-2.1| or 2.1, 9.3

Therefore, A is the correct answer.



Plot the solution on the number line.


Answer: Its 10, so plot it on 10 in the number line

Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.

These triangles are similar. What is the value for it?



The vault of h is 10

Step-by-step explanation:

Since the whole triangle is 27 and the one side is 9 we know the other side must be 18. You multiply by 2 to get get from 9. That means they are similar and you just multiply 5 by 2 to get h=10.

An inscribed angle is an angle formed by two radii that share an endpoint A) True


check the picture below.

notice, as from the left, we grab those two angles and slap them together on the right, they form a wide angle A, and a smaller inscribed angle B.

now, the blue and red segments that came together, are both making up the inscribed angle B, and also sharing the side or endpoint, in the middle of angle A.

Given this table of values, what is the value of f(14)?



f(14) = 14.6

Step-by-step explanation:

Form the table attached,

Values of 'x' represent the points on the x-axis of the graph of the given function 'f'.

Similarly, values of 'y' represent the points on the y-axis of the graph.

For every input value of x we get an output value 'y'.

f(10) = -12

f(-16) = 15.6

f(14) = 14.6

f(-18) = 14

Therefore, from the given table output value of f(14) will be 14.6

The ratio of the measure of the angels of a triangle is 6:10:2 find the measure of the smallest angle




Step-by-step explanation:

6x+10x+2x=180 (Triangles have three angles that add up to 180)

18x=180 (Combine like terms)

x=10 (Dividing by 18 to find x)

2(10)=20 (Looking for smallest angle which is 2)