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2 years ago

Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.

Mathematics

1 answer:

Montano1993 [528]2 years ago

5 0

The system of equations is

n + d = 27

n + 5d = 55

Step-by-step explanation:

The given is:

Kiran has 27 nickels and quarters in his pocket
They worth a total of $2.75
We need to write a system of equations to represent the relationships between the number of nickels n, the number of quarters d, and the dollar amount in this situation

∵ The number of nickles is n

∵ The number of quarters is d

∵ There are 27 nickles and quarters

∴ n + d = 27 ⇒ (1)

∵ 1 nickel = 5 cents

∵ 1 quarter = 25 cents

- Multiply n by 5 and d by 25 to find their value

∴ They worth = 5n + 25d

∵ They worth a total of $2.75

- Chang the dollar to cent

∵ 1 dollar = 100 cents

∴ $2.75 = 2.75 × 100 = 275 cents

- Equate their value by 275

∴ 5n + 25d = 275

- Simplify it by divide each term by 5

∴ n + 5d = 55 ⇒ (2)

The system of equations is

n + d = 27

n + 5d = 55

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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The area of the shaded region is $329.87\ cm^2$

Step-by-step explanation:

<u><em>The correct question is</em></u>

A circle with radius of 4cm sits inside a circle with a radius of 11cm. What is the area of the shaded region?

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Step-by-step explanation:

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Answer:

A. The area of the rectangle is 88 square inches.

C. The equation x² – 3x – 88 = 0 can be used to solve for the length of the rectangle.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.

A.The area of the rectangle is 88 square inches.

B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.

C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.

D.The triangle has a base of 11 inches and a height of 8 inches.

The rectangle has a width of 4 inches.

If a rectangular piece of paper has a width that is 3 inches less than it's length and it is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches, the width of the rectangle will be equal to the base of the each of the triangle, and the length equal to the height of the triangle.

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