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Rzqust [24]
3 years ago
11

How many solutions does 6(4s+12)=8(3s-14) have?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0

9514 1404 393

Answer:

  0  (no solutions)

Step-by-step explanation:

Eliminating parentheses, the equation becomes ...

  24s +72 = 24s -112

  184 = 0 . . . . . . . . . . . add 112 -24s to both sides

There is no value of the variable s that will make this true. The equation has no solutions.

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Ben's living room is a rectangular measuring 12 yards x 204" by how many feet does the length of the room exceed the with the le
Firlakuza [10]

Answer:

The length of the room exceeds the width by 19 feet

Step-by-step explanation:

From the question, the room measures 12 yards x 204", that 12 yards x 204 inches. To determine by how many feet the length of the room exceeds the width, we will first convert both units of measurement ( yards and inches) to feet.

To convert 12 yards to feet,

1 yard = 3 feet

∴ 12 yards will be 3 × 12 feet = 36 feet

To convert 204" to feet

12" = 1 foot

∴ 204" will be 204/12 feet = 17 feet

Hence, the room measures 36 feet × 17 feet

That is, Length of the room = 36 feet

and width of the room = 17 feet

Now, to determine by how many feet the length of the room exceeds the width, we will deduct the width of the room from the length of the room, that is,

36 feet - 17 feet = 19 feet

Hence, the length of the room exceeds the width by 19 feet.

6 0
3 years ago
Enter the correct value so that each expression is a perfect square trinomial
myrzilka [38]

Answer:

Step-by-step explanation:

1). x² - 10x + a²

  By using the formula of (a - b)² = a² - 2ab + b²

  x² - 2(5)x + a²

  Therefore, for a perfect square of the expression a should be equal to 5.

  Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

  = x² + 2(a)x + 6²

  For a perfect square of the given expression value of a should be 6.

   x² + 2(a)x + 6² = x² + 2(6)x + 6²

                           = (x + 6)²

  Therefore, x² + 12x + 36 will be the answer.

3). x^{2}+\frac{1}{2}x+a^2

    x^{2}+2(\frac{1}{4})x+a^2

   To make this expression a perfect square,

   a² = (\frac{1}{4})^2

   x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2 = (x+\frac{1}{4})^2

  Therefore, the missing number will be \frac{1}{16}.

5 0
3 years ago
Find the unknown side length. Simplify radical answers.​
AveGali [126]
The answer is 22 Bc it is
4 0
3 years ago
Read 2 more answers
Whats the absoulte value of -5
otez555 [7]

The absolute value of -5 would be 5

Hope this helps, and have a nice day

7 0
3 years ago
State the commutative property of addition, and provide an example using two different numbers.
I am Lyosha [343]

Answer:

Step-by-step explanation: or takes watever numbers you need , for example 5 + 3 or 3 +5 then add and ur done!

5 0
3 years ago
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