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Genrish500 [490]
3 years ago
10

The area of a hall is 806 sq. ft. Its length is 5 ft greater than its width. Find the dimensions of the hall. Enter the results

in the answer box. Show work that leads to the final answer and clearly state the final answer.
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

width is = 26ft

length is = 31ft

Step-by-step explanation:

The area of hall is 806 sq. ft.

length is 5 ft greater than its width.

L = 5+b

L*b = 806

(5+b)*b= 806

5b +b² = 806

B²+5B-806= 0

Solving quadratically

B² +31B -26B -806= 0

B(B+31)-26(B+31)= 0

(B-26)(B+31)= 0

B= 26 or -31

So the value of the width must be positive so the width is = 26ft

If width is 26, length is 26+5 = 31ft

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Answer:

3(7-2y)=9

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With the distributive property you must distribute the 3 within (7-2y)

To that you would multiply 7 by 3, and multiply -2y by 3. This would get you:

21-6y=9

To get y you must isolate it, the first step to isolate it is remove the number with no "y" next to it. Which is "21" Also for further problems your way, You should add/subtract/divide/multiple the number that does not have the same or even a variable as the variable you are trying to find to the other side.

In this case it would be subtracting 21 from the left side and subtracting it to the right side which would give us: 6y=-12

(Because there was already a number with no variable: "9" you will subtract 21 from 9 which is why you get -12).

Next you will further isolate the y by removing the -6. "-6y" means -6 multiplied by y. So you will divide -6 from the left side AND the right side.

-6y ÷ -6 = y ; -12 ÷ -6 = 2

y=2

More tips: When you are moving something to the other side always do the opposite to remove it from one side and move it to the other. Example: -12 + y = 5

You want to move the -12 to the right side. So you need to remove "-12" from the left side by ADDING 12 because -12 + 12 = 0.

Now you simply add it to the right.

Another example: 4y = 8

Because 4y is multiplication (4 times y) you must divide it from each side to isolate the y! : y=2

If you divide a number from the left side, you must also divide it from the right side. If you add a number on the left side, you must also add it on the right side. Same goes for subtraction and multiplication. Think like that!

Step-by-step explanation:

So ya

8 0
3 years ago
Read 2 more answers
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