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Natali5045456 [20]
3 years ago
13

Write the phrase "the product of 19 and a number" as a mathematical expression.

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0

Answer:

Phrase : "the product of 19 and a number"

Mathematical expression : 19A

Step-by-step explanation:

Phrase : "the product of 19 and a number"  

The product of two numbers a and b can be written as a x b =ab

<u>To find Mathematical expression </u>

Let A be a number,  

The product of number with 19 can be written as

19 x A  = 19A

Therefore the given phrase "the product of 19 and a number" as a mathematical expression =19A

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Peter have twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 stickers together. How many sticker
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Answer:

  170

Step-by-step explanation:

The given relations can be used to write and solve an equation for the number of stickers Peter has.

<h3>Setup</h3>

Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).

The total number of stickers is 300:

  p +p/2 +(p/2 -40) = 300

<h3>Solution</h3>

  2p = 340 . . . . . . . . . . . . . . add 40, collect terms

  p = 170 . . . . . . . . . . . divide by 2

Peter has 170 stickers.

__

<em>Additional comment</em>

Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.

We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.

  p +j +e = 300

  p -2j +0e = 0

  0p +j -e = 40

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