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stellarik [79]
3 years ago
14

Determine whether each pair of expressions is equivalent.

Mathematics
1 answer:
Igoryamba3 years ago
4 0

<u>Step-By-Step Solution for Part 1:</u>

  • 3(4p + 2) = 12p + 6
  • => (3 x 4p) + (3 x 2) = 12p + 6
  • => 12p + 6 = 12p + 6

Answer: Equivalent

<h3>________________________________________________</h3>

<u>Step-By-Step Solution for Part 2:</u>

  • r + r = 2r
  • => 2r = 2r

Answer: Equivalent

<h3>________________________________________________</h3>

<u>Step-By-Step Solution for Part 3:</u>

  • 2y + z² = y x y + z + z
  • => 2y + z² = y² + 2z

<u>[Replacing y as 2 and z as 3]</u>

  • => 2(2) + (3)² = (2)² + 2(3)
  • => 4 + 9 = 4 + 6
  • => 13 ≠ 10

Answer: Not Equivalent

<h3>________________________________________________</h3>

<u>Step-By-Step Solution for Part 4:</u>

15n + 5 = 5(3n + 1)

=> 15n + 5 = (5 x 3n) + (5 x 1)

=> 15n + 5 = 15n + 5

Answer: Equivalent

<h3>________________________________________________</h3>
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5 0
3 years ago
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IAS question - ❓❓❓❓❓❓A man starts frm his house with some money to visit four temples.1. As soon as he enters temple 1 his money
Natali5045456 [20]

Answer:

Rs 93.75

Step-by-step explanation:

Solution:

A man starts from his house with some money to visit four temples.

<u>1. As soon as he enters temple 1 his money gets doubled. </u>

Let he had money at first = x

After enter the 1st temple his money = 2x

He donated = Rs 100

Money left after donation at 1st temple = 2x-100

<u>2. At temple 2 again his money is doubled and he donates Rs 100</u>

He had at 2nd temple = 2(2x-100) =4x-200

Donated = Rs 100

Money left after donation at 2nd temple = 4x-200-100=4x-300

<u>3. His money is doubled again at temple 3 and he donates Rs 100.</u>

He had at 3rd temple = 2(4x-300)=8x-600

Donated = Rs 100

Money left after donation at 3rd temple = 8x-600-100=8x-700

<u>4. At temple 4 again his money gets doubled. He donates 100 rs. again and returns home empty handed.</u>

He had at 4th temple = 2(8x-700)= 16x-1400

Donated = Rs 100

Money left after donation at 4th temple = 16x-1400-100 = 16x-1500

<u>As he returned empty hand or with zero money, equation will be:-</u>

16x-1500=0\\ \\ Adding\ both\ sides\ by\ 1500\\ \\ 16x=1500\\ \\ Dividing\ both\ sides\ by\ 16\\ \\ x=Rs \ 93.75

Thus, he had Rs 93.75 when he started from his house.

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