What are the factors of x2 – 100?

Answers

Answer 1
Answer:

Answer:

(x – 10)(x + 10)

Step-by-step explanation:

Answer 2
Answer: Solutions for x^2-100=0 are x=10 and x=-10

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What is the value of x, when -9(x-5)=x+22 1/2​

Answers

Answer:

\large\boxed{x=(9)/(4)=2(1)/(4)}

Step-by-step explanation:

-9(x-5)=x+22(1)/(2)\qquad\text{multiply both sides by 2}\n\n(2)(-9)(x-5)=2x+(2)\left(22(1)/(2)\right)\n\n-18(x-5)=2x+45\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\n\n(-18)(x)+(-18)(-5)=2x+45\n\n-18x+90=2x+45\qquad\text{subtract 90 from both sides}\n\n-18x+90-90=2x+45-90\n\n-18x=2x-45\qquad\text{subtract}\ 2x\ \text{from both sides}\n\n-18x-2x=2x-2x-45\n\n-20x=-45\qquad\text{divide both sides by (-20)}\n\n(-20x)/(-20)=(-45)/(-20)\n\nx=(45:5)/(20:5)\n\nx=(9)/(4)\to x=2(1)/(4)

Answer:

x = 2.25

Step-by-step explanation:

 -9(x - 5) = x + 22 1/2

Distribute the nine and then add 9x to both sides

 -9x + 45 = x +22 1/2

+ 9x        + 9x

Then try to get x alone

       45 = 10x + 22 1/2

     -22 1/2       -22 1/2

    22.5 = 10x

   (22.5)/(10) = (10x)/(10)

   2.25 = x

Roy and Sam start solving the equation as follows.Which student's work is correct so far and what property did he use?

A.
Sam's work is correct so far. He used the addition property of equality.
B.
Roy's work is correct so far. He used the addition property of equality.
C.
Sam's work is correct so far. He used the subtraction property of equality.
D.
Roy's work is correct so far. He used the subtraction property of equality.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

-3x+4=5x-6

According to the addition property of equality a=b and a+c=b+c are equivalent equations.

Use addition property of equality, add 3x on both the sides.

-3x+4+3x=5x-6+3x

4=8x-6

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality a=b and a-c=b-c are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

-3x+4-5x=5x-6-5x

-8x+4=-6

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

Is 3/8 percentage same as 0.375 as a decimal ?

Answers

3/8 is the same amount as 0.375.

3/8 is not percentage.
Yes, yes it is. 8 divided by 3 equals 0.375.

Round 21.98 to the nearest hundredth

Answers

21.98 rounded to the nearest hundredth is 22
It's 21.98, the hundredths place is where the 8 sits.

Two fifths of the fish in grays fish tank are guppies. One fourth of the guppies are red. What fraction of the fish in grays tank are red guppies?

Answers

it would be one fourth cause he tells you the fraction of how many guppies are red
I think it goes like this:
1/4 of 2/5= 2/20 or 1/10

It's asking what fraction are red guppies and it's telling us that 2/5 of the tank is made up of guppies and out of that 2/5, 1/4 of them are red. So you would have to figure out what 1/4 of 2/5 is to find out how many red guppies there are.

If a>b and b>c, what is true about the relationship between a and c? Explain your reasoning

Answers

You could say that A is the biggest of the three letters and C is the smallest of the three letters. This is shown because A is bigger than B, but B is bigger than C, which means C is less than A and B, and A is greater than B and C.