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gladu [14]
3 years ago
10

Solve for a 1/4a+1/3=1/3a+5/4

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

1/4a+1/3=1/3a+5/4

1/4a-1/3a+1/3=1/3a-1/3a+5/4

1/4a-1/3a+1/3=5/4

1/4a-1/3a+1/3-1/3=5/4-1/3

1/4a-1/3a=5/4-1/3

Figure the common denominator for 1/4a,1/3a, 5/4 and -1/3 which is 12

Multiply by 3 for 1/4a. (1)(3)/4(3a)=3/12a

Multiply by 4 for 1/3a. (1)(4)(3)(4a)=4/12a

Multiply by 3 for 5/4. (5)(3)/4(3)=15/12

Multiply by 4 for -1/3. (-1)(4)(3)(4)=-4/12

3/12a-4/12a=15/12-4/12

-1/12a=11/12

Multiply by -12/1 for -1/12a and 11/12

-1/12(-12/1)a=11/12(-12/1)

Cross out 12 and -12 , divide by 12 and then becomes -11.

Cross out -12 and -12 , divide by 12 and then becomes 1.

Cross out -1 and 1, divide by 1 and then becomes 1.

1*1*a=-11

a=-11

Answer: a=-11

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Add. 4.29 + 97.2 + 0.687 =<br> 102.177<br> 140.787<br> 1,407.87<br> 1,021.77
nordsb [41]
4.29 + 97.2 + 0.687 = 102.177

In adding decimal numbers, make sure that the decimal points are aligned. Since each number has different counts of numbers after the decimal point, use 0 to pad the missing places.
    
      4.290
    97.200
   <u>   0.687
</u>  102.177

The count of numbers after the decimal point is the same count of number of the decimal who has the greatest count of number after the decimal point.

4.29 only has 2 counts of places after the decimal point
97.2 only has 1 count of place after the decimal point
0.687 has 3 counts of places after the decimal point. 

The sum of the decimals must also have 3 counts of places after the decimal point.

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Answer:

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Step-by-step explanation:

3 0
3 years ago
A student studying for a vocabulary test knows the meanings of 14 words from a list of 22 words. If the test contains 10 words f
DIA [1.3K]
The sample space is 22 words and out of it, 14 words are known to have meanings for the student. In the problem, we use 10 C8 + 10 C9 + 10 C10 to associate at least 8 words. The complete formula is (10 C8 * (14/22)^8 * (8/22)^2 + 10 C9  (14/22)^9 * (8/22)^1 + 10 C 10 (14/22)^10 * (8/22)^)0) that is equal to 0.233
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4 years ago
Read 2 more answers
Which order does it go?
gladu [14]
Subtract 4 from each side
Divide both sides by 5
Take square root of both sides
Add 3 to both sides
4 0
3 years ago
3y - 21 = 12x<br> Help please
Irina18 [472]
Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X

Divide each side by 3
Y=7+4X

Simplifying
Y=7+4x
I hope this helps!! :)
3 0
3 years ago
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