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const2013 [10]
3 years ago
9

Simplify.

Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Vinil7 [7]3 years ago
6 0
The correct answer is A
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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

6 0
3 years ago
Why is x=6 a solution to the proportion 192/36=32/x​
Norma-Jean [14]

Answer:

They're both equal each other!

Step-by-step explanation:

Because 32/6 is 5.33... on the calculator and when you divide 192/36 is 5.33 and so on. X = 6 is the solution because both of these divisors equal each other!!! Hope this helps!

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3 years ago
a car cost $25000 plus $675 for tax, title, and license fees. Ari finances the car by putting down $2,500 in cash and taking out
Sergeu [11.5K]
Answer : .333 percentt per month
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3 years ago
If ⅔ of a number is 20 what is ½ of the number?​
zmey [24]

Answer:

15

Step-by-step explanation:

2/3 of 30 is 20, so 1/2 of 30 is 15

6 0
2 years ago
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Find the area of the shaded region.
miv72 [106K]

Answer:

The answer would be 27π

Step-by-step explanation:

the area is 36pi and the shaded region is 3/4 of the circle, as a 90 degree angle is 1/4 of a 360 degree circle. 3/4 of 36pi is 27pi

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2 years ago
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