Solve the Problem Using Matrices $91 \mathrm {~cm}$ the Sum of the Two Longer Pieces Is

question 373

Multiple Choice

Solve the problem using matrices.
-Jerry has three pieces of string. The total length is $91 \mathrm {~cm}$ . The sum of the two longer pieces is $76 \mathrm {~cm}$ . The middle piece is twice as long as the shortest piece. What are the lengths of the three pieces?

• A) No solution
• B) \(15 \mathrm {~cm} ; 30 \mathrm {~cm} ; 46 \mathrm {~cm}\)
• C) \(7.5 \mathrm {~cm} ; 15 \mathrm {~cm} ; 68.5 \mathrm {~cm}\)
• D) \(15 \mathrm {~cm} ; 46 \mathrm {~cm} ; 56 \mathrm {~cm}\)

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Definitions:

Capital Lease Obligation

A financial commitment that a lessee must recognize on their balance sheet for a lease considered a purchase of an asset rather than a rental, due to its terms meeting certain criteria.

Initial Direct Costs

Expenses that are directly associated with acquiring or originating a loan or insurance contract, or other financial instruments, that are recognized at the inception of the contract.

Operating Lease

An Operating Lease is a lease agreement that allows for the use of an asset but does not convey rights of ownership of the asset.

Sales-Type Lease

A Sales-Type Lease is a lease agreement where the lessor recognizes immediate profit on the leased asset as if it were sold, typically used in lease financing.