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r-ruslan [8.4K]
3 years ago
10

One number is eight less than a second number. Twice the first is 12 more than 4 times the second. Find the numbers.

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

Step-by-step explanation:

"One number is eight less than a second number."

x = y-8

"Twice the first is 12 more than 4 times the second."

2x = 4y+12

substitution

2(y-8) = 4y + 12

2y - 16 = 4y + 12

2y = -28

y = -14

x = y-8 = -22

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Distinct angles are when the angles of a polygon are all different.
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What is the value of t?
frutty [35]

Answer:

-39 2/3

Step-by-step explanation:

t - 122= 2t - 3

subtract 't' from each side to get:

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5 0
2 years ago
4 times a number less than 6 is 8 more than twice that number. find the number.
Serhud [2]
First, let's break the worded equation up into two parts:

- "<span>4 times a number less than 6'

This is 4 * (6-x)

- "</span><span>8 more than twice that number"

This is 2x+8


Now combine these two expressions:

</span>4 * (6-x) =  2x+8

4 * (6-x) = 2 * (x+4) 

2 * (6-x) = x+4

12-2x = x+4

-3x = -8

x = 8/3


If you have any questions, please leave it in the comment section below.

Hope this helps!
7 0
3 years ago
2
Gemiola [76]

9514 1404 393

Answer:

  • 14 nickels
  • 6 dimes

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.

7 0
3 years ago
Explanation &amp; answer please
Cloud [144]
You can find the measure of


All angles in a triangle must add up to 180° all angles in a triangle must add up to 180°, so 180 - (76 + 32) = 72°.


This means
6 0
3 years ago
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