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jeka57 [31]
3 years ago
7

Identify the mistake and correct it in the work shown for solving the following inequality. 9x + 9 > 12x + 6 -3x > -3 x &g

t; 1
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Given:

The inequality is

9x+9>12x+6

To find:

The mistake in the given solution and correct it.

Solution:

We have,

9x+9>12x+6

Isolating variable on one side, we get

9x-12x>6-9

-3x>-3

On dividing both sides by -3,  we get

\dfrac{-3x}{-3}

Because if an inequality is multiplied or divided by a negative number, then the sign of inequality must be changed.

x

Therefore, there is a mistake in last step because the sign of inequality remains same after diving it by -3 and the correct solution is x.

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Im really confused i hope this doesnt take to much time please help it would me so much to me.
katrin [286]
Yes it is A I got it right
6 0
3 years ago
To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s
inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0
3 years ago
I need help on 10. 11. 12. 14.
Delicious77 [7]
The answer to number 11 is 136.5
5 0
3 years ago
Can you help me get the answer I’m just not sure if I’m right
zhenek [66]

Answer:

430in^{2}

Step-by-step explanation:

To find the area, use the area for a parallelogram formula:

A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.

Next, substitute the values of the base and height:

A = 20in. * 21.5 in.

Finally, simplify the multiplication:

A = 430in^{2}

7 0
3 years ago
the slide at the playground has a height of 6 feet.The base of the slide measured on the ground is 8 feet.what is the length of
NemiM [27]
The formula for finding the length is
{a}^{2}  +  {b}^{2} = {c}^{2}
All we have to do is plug in the numbers.

{6}^{2}  +  {8}^{2}  =  {c}^{2}
36 + 64 = 100

Since 100 =
{c}^{2}
we have to find the square root.

\sqrt{100}  = 10

The length of the slide is 10 feet.

6 0
3 years ago
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