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Y_Kistochka [10]
3 years ago
7

Solve the equation. Justify each step

Mathematics
2 answers:
MrMuchimi3 years ago
4 0

Answer:

h=-6.5

Step-by-step explanation:

1. Write down the equation

>> 9(h-4) = 5(3h-2)

2.expand brackets on both sides

>> 9h-36 =15h-10

(9xh=9h, 9x-4=-36 >> 9h+-36 =9h-36. Same method for the other side)

3. Cancel wherever you can

>> -36 = 4h-10 ( Delete 9h on both sides)

>> -26= 4h ( Add -10 on both sides)

4. Calculate h

>> 4 fits 4.5 times inside 26 (4x4.5=26)

>> since there is a negative, don't forget to add that

>> so h = -4.5

Good luck and I hope you found this helpful. I am happy to help you if you have any other questions!!

Wewaii [24]3 years ago
3 0

Given

9(h-4) = 5(3h-2)

Distribute 9 on the left hand side and 5 on the right hand side (distributive property of addition)

9h-36=15h-10

Add 36 to both sides (addition property of equality)

9h=15h+26

Subtract 15h to both sides (subtraction property of equality)

-6h=26

Divide both sides by -6 (division property of equality)

h=-\dfrac{26}{6}=-\dfrac{13}{3}

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How can you use number patterns to find the least common factor
Aleks04 [339]

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

5 0
3 years ago
Nicole is half as old as Donald. The sum of their ages is 72. <br><br> How old is Nicole, in years?
bixtya [17]
Your gonna divide 72 by 2 so therefore you get 36
So that equals to Nicole’s age
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3 years ago
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Katyanochek1 [597]

Answer:

Step-by-step explanation:

Ans:A.

6×5÷2×11=165

7 0
3 years ago
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san4es73 [151]
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answer
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Answer:450

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                Your answer is: 450 students

               

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