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Degger [83]
2 years ago
9

Evaluate ∣∣256+y∣∣ for y=74. A. 225 B. 315 C. 345 D. 4712

Mathematics
1 answer:
aleksklad [387]2 years ago
5 0

Answer:

678

Step-by-step explanation:

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Mkey [24]

Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

  • x: number of pens
  • y: number of pencils

<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
  • <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y

  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

  • x + 0.5(80 + x) = 220

ii) Solve

  • x + 40 + 0.5x = 220
  • 1.5x = 180
  • x = 180/1.5
  • x = 120 pens

iii) Substitute x = 120 into the equation (2)

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

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2 years ago
A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that
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A) The top and bottom are parallel.B)The top and right side form a right angle.D)The left side and right side are parallel.E)The left side and bottom form a right angle.
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82x25=2050

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2140/26=82.3

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Isabella filled her pool with water at a constant rate.
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(184-94)/5=18

This means that she fills up 18 liters every minute. Thus she will be done in->

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