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Masteriza [31]
4 years ago
7

What is the algebraic representation of 3 times the difference of a number and 5

Mathematics
1 answer:
ki77a [65]4 years ago
6 0
" the difference"  means subtract

3(n - 5) <== ur expression
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The sum of two numbers is 100. The different between them is 56. What is the larger number?
m_a_m_a [10]
<h2><u>An</u><u>swer</u><u>:</u><u>-</u></h2>

\pink{\bigstar} The larger number is \large\leadsto\boxed{\tt\purple{78}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Given</u><u>:</u><u>-</u></h3>

  • Sum of two numbers is 100.

  • Difference between the numbers is 56.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>To</u><u> </u><u>Find</u><u>:</u><u>-</u></h3>

  • The larger number = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Solut</u><u>ion</u><u>:</u><u>-</u></h3>

Let the two numbers be 'x' and 'y' respectively.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<u>According to the question:-</u>

✯ Sum of two numbers is 100.

➪ \sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Also,

✯ Difference between the numbers is 56.

➪ \sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• <u>Adding</u><u> </u><u>eq</u><u>uation</u><u> </u><u>[</u><u>1</u><u>]</u><u> </u><u>a</u><u>nd</u><u> </u><u>equat</u><u>ion</u><u> [</u><u>2</u><u>]</u><u>:</u><u>-</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf (x + y) + (x - y) = 100 + 56

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf x + y + x - y = 156

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 2x = 156

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf x = \dfrac{156}{2}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ \large{\bold\red{x = 78}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• <u>Subst</u><u>ituting</u><u> </u><u>the</u><u> </u><u>va</u><u>lue</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>equa</u><u>tion</u><u> </u><u>[</u><u>1</u><u>]</u><u>:</u><u>-</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf x + y = 100

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 78 + y = 100

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf y = 100 - 78

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ \large{\bold\red{y = 22}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the numbers are 78 and 22.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The larger number is 78.

3 0
3 years ago
water has a freezing point of 32°F mercury has a freezing point that is 70°F lower. what us the freezing ponit of mercury​
Sonja [21]
-38 degrees fahrenheit
8 0
3 years ago
Find y for x=0,1,2, and 3.<br><br> y=4-x
LenKa [72]
4 - (0) = y
4 - 0 = 4      y = 4

4 - (1) = y
4 - 1 = 3     y = 3

4 - (2) = y
4 - 2 = 2     y = 2

4 - (3) = y
4 - 3 = 1     y = 1
7 0
3 years ago
The probability that he lives with his parents given that he is still a teenager (18 or 19) is:
mote1985 [20]
Not Likely(BTW It’s a guess)
5 0
3 years ago
PLEASE HELP IM SO STUCK
Gennadij [26K]

Answer:

-4

Step-by-step explanation:

Slope = y/x

1. y=12 x=-3

  12/-3=-4

2. y=8, x=-2

   8/-2 = -4

3. y=4, x=-1

   4/-1 = -4

4. 0/0 = 0

5. y=-4, x=1

   -4/1 = -4

Hope it helps I had this question last year on Acellus.

4 0
2 years ago
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