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larisa [96]
3 years ago
6

1/4(x+6)+1/8(x–3)=1/3(x+4)​

Mathematics
1 answer:
stira [4]3 years ago
5 0
Distribute 1/4 through the parenthesis:

1/4x + 3/2 + 1/8(x-3)= 1/3(x+4)

Distribute 1/8 through the parenthesis:

1/4x + 3/2 + 1/8x - 3/8= 1/3(x+4)

Distribute 1/3 through the parenthesis:

1/4x + 3/2 + 1/8x - 3/8= 1/3x + 4/3

Subtract the fractions.

1/4x + 9/8 + 1/8x= 1/3x + 4/3

Multiply both sides of the equation by 24.

6x + 27 + 3x= 8x + 32

Collect the like terms:

9x + 27= 8x + 32

Move 8 to the left side, then change the sign.

9x - 8x + 27= 32

Move 27 to the right side, the. change the sign.

9x - 8x= 32 - 27

Collect the like terms.

x= 32 - 27

Subtract the numbers.

32 - 27 = 5

Solution: x = 5
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8 0
3 years ago
The Caesar Cipher of the sentence "THIS MESSAGE IS TOP SECRET."
vagabundo [1.1K]

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

"THIS MESSAGE IS TOP SECRET."

We need to use the Caesar cipher.

As in general we always take a shift of 3 keys in Caesar cipher.

so, According to shift of 3 keys it becomes,

T→W

H→K

I→L

S→V

M→P

E→H

A→D

G→J

O→R

C→F

R→U

P→S

So, it can be written as

"THIS MESSAGE IS TOP SECRET."

WKLVP HVVDJ HLVWR SVHFU  HW.

we make a set of 5 letters in a word after Caesar cypher.

Hence, Option 'a' is correct.

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3 years ago
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4 years ago
In an 18-meter race between a tortoise and a hare, the tortoise leaves 23 minutes before the hare. The hare, by running at an av
seropon [69]
We know that:
time=distance/speed
if the tortoise speed is x m/min, then since 0.5 m/hr=1/120 m/min
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x=0.08 m/min
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3 years ago
Which of the set of ordered pairs contains the line<br> 1/3 x+y= 15.
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Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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