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labwork [276]
3 years ago
9

6(x + 3) - 2 < 8(x + 5)

Mathematics
2 answers:
Maru [420]3 years ago
6 0

Answer:

x > -12

Step-by-step explanation:

6(x + 3) - 2 < 8(x + 5)

Distribute;

6x + 18 - 2 < 8x + 40

6x + 16 < 8x + 40

Subtract 8x from both sides;

-2x + 16 < 40

Subtract 16 from both sides;

-2x < 24

Divide both sides by -2

x > -12

The sign changes when it is divided by a negative number

stira [4]3 years ago
4 0

The answer is x>-12

First you must use distributive property to simplify.

6x+18-2

Then, you must subtract 18 on both sides

6x-2

Next, add 2 on both sides

6x

Then, subtract 8x on both sides

-2x

Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.

x>-12

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Does x=3 make the equation 5x-3=12 true or false?
Kamila [148]
It would be false :)!
3 0
3 years ago
Read 2 more answers
the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?​
dmitriy555 [2]

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

4 0
3 years ago
The circumference of the flotation device above is 62.8 inches . If three flotation devices are lined up end-to-end , then what
Karo-lina-s [1.5K]

Answer: 60 in

Step-by-step explanation:

Hi, to answer this question, first we have to calculate the diameter of one flotation device:

Circumference of a circle C = (3.14) (diameter)

Replacing with the values given:

62.8 =3.14 d

Solving for d (diameter)

62.8 /3.14 =d

20in = d

Now, since the three flotation devices are identical, we simply have to multiply the diameter of one device by 3 , to obtain length of the flotation devices lined up.

20x3 =60 in

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
Without dividing or listing multiples how can you tell if 61 is a multiple of 6.
Ostrovityanka [42]
For a number to be a multiple of 6, it must be divisible by 6
and a number divisble by 6 means that it is divisble by 2 and 3

since the ones digit is odd it is not divisble by 2 which means 61 is not a multiple of 6
7 0
3 years ago
What is the derivative of x(sinx^2)
vichka [17]
D over dx (x sin^2(x)) = sin(x) (sin(x) + 2 x cos(x))
5 0
3 years ago
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