Use the five-step plan to solve the following problem. joey has nickels and dimes in his pocket. the number of dimes is 3 times the number nickels. if joey has 11 nickels, what is the total value of the money he has in his pocket?

Let d = number of dimes and n = number of nickels.

If the number of dimes is 4 times the number of nickels, then:

d = 4n

Since ""Joey has 10 nickels**,

n = 10

To evaluate the number of dimes, substitute n = 10 into,

d = 4n

d = 4(10)

d = 40 dimes

We set up an equation to reflect the monetary values as follows,

.10d + .05n = "total value"

Substitute d = 40 and Joey's n=10 nickels into the equation.

.10(40) + .05(10) = 4.00 + 0.50 = $4.50 is the total value.

the answer is: the length is 5/6 yards.

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step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc