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scoundrel [369]
3 years ago
6

A number was written on the board. One student increased the number by 23, but another student decreased the number by 1. The fi

rst student’s result was 7 times greater than the result of the second student. What is the number written on the board?
Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

5

Step-by-step explanation:

let the number written on the board be x.

1st student's number= x +23

2nd student's number= x -1

<em>1</em><em>st</em><em> </em><em>student</em><em>'</em><em>s</em><em> </em><em>number</em><em>=</em><em> </em><em>7</em><em>(</em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>the</em><em> </em><em>2nd</em><em> </em><em>student</em><em>)</em><em>,</em>

x +23= 7(x -1)

x +23= 7x -7 <em>(</em><em>expand</em><em>)</em>

7x -x= 23 +7 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>

6x= 30 <em>(</em><em>simplify</em><em>)</em>

x= 30 ÷6 (÷6 on both sides)

x= 5

Thus, the number written on the board is 5.

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The perimeter of a rectangular field is 328 yards. If the length of the field is 89 yards, what is its width?
miv72 [106K]

<u>Set up an equation based on the information given</u>

89 + 89 + x + x = 328

<u>Combine like terms</u>

89 + 89 = 178

x + x = 2x

2x + 178 = 328

<u>Solve</u>

2x + 178 = 328

328 - 178 = 150

2x = 150

x = 75

Answer

The width of the rectangular field is 75 yards.

7 0
3 years ago
1. Jamie purchases gifts for three friends. She chooses a book for $12.80 and then finds two identical necklaces. Her budget is
Evgen [1.6K]

Step-by-step explanation:

1.

  • (48 - 12.80)/2 = $17.6

2.

  • 250/6 ≈ 42 and more

3.

  • 485 - 319 = 166 more people

4.

  • 14.5x + 80 > 500
  • 14.5x > 420
  • x > 420/14.5
  • x > 29

5.

  • 1.25x + 3 ≤ 28
  • 1.25x ≤ 25
  • x ≤ 25/1.25
  • x ≤ 20 miles

6.  <em>This seems a typo... 460 is likely $60</em>

  • 60x + 145 ≤ 625
  • 60x ≤ 625 - 145
  • 60x ≤ 480
  • x ≤ 480/60
  • x ≤ 8 days

7 0
3 years ago
Rewrite the expression 15(8 - 2) using the distributive property.
Charra [1.4K]

Answer:

9

Step-by-step explanation:

15(8-2)

15-(6)

9

4 0
2 years ago
Read 2 more answers
The population of a town gradually decreases by about 30
topjm [15]
It would be 3,600 - 30 = 3570
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2 years ago
Which expression shows the prime factorization of 120?
Ganezh [65]

Answer:

a

Step-by-step explanation:

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3 years ago
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