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VLD [36.1K]
3 years ago
12

Michael is trying to write the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? Mic

heal wrote the following expression: 6 * 5 + y
Error: *
Correct Solution: *
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

Correct solution: 6 ÷ (5 + y)

Step-by-step explanation:

- <em>Lets revise some words of some operations in mathematics</em>

# The sum ⇒ (+) Add

# The difference ⇒ (-) subtract

# The product ⇒ (×) multiply

# The quotient (answer of division) ⇒ (÷) divide

* <em>Lets solve the problem</em>

- Michael is trying to write the algebraic expression for the following

 word phrase:

 the quotient of 6 and the sum of 5 and y

- <u><em>Lets explain that:</em></u> the quotient means the answer of division so he

 wants to divide a quantity by another one

∵ The first quantity is 6

∵ The second quantity is the sum of 5 and y

- He wants to divide 6 by (5 + y)

∴ The expression is 6 ÷ (5 + y)

* Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

* Correct solution: 6 ÷ (5 + y)

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In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

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