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3 years ago

Add. Simplify your answer, 3/10 + 5/10

Mathematics

2 answers:

Oksanka [162]3 years ago

8 0

So it would equal to 8/10 and divide by 2 which you would get 4/5

Lady_Fox [76]3 years ago

5 0

3+5= 8
10+10= 20
8/20 simplifies to 4/5

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Which expression is equivalent to (5g^4+5g^3-17g^2+6g)-(3g^4+6g^3-7g^2-12)/g+2

ankoles [38]

Option C:

$2 g^{3}-5 g^{2}+6$

Solution:

Given expression:

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

To find which expression is equal to the given expression.

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

Expand the term $-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12$

$$=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}$

Arrange the like terms together.

$$=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}$

$$=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}$

Factor the numerator $2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)$

$$=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}$

Cancel the common factor g + 2, we get

$=2 g^{3}-5 g^{2}+6$

Hence option C is the correct answer.

8 0

2 years ago

Read 2 more answers

8 times the difference between a number and 6 is equal to 4 times the number...

astraxan [27]

Answer:

(A) 12

Step-by-step explanation:

First, lets define the number as x.

"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"

8(x - 6) = 4x

8x - 48 = 4x

4x = 48

x = 12

6 0

2 years ago

Read 2 more answers

What is the sum of the first 10 positive integers? A) 55 B) 50 C) 100 D) 95

olga2289 [7]

The correct answer here is A) 55. This is because a positive integer is defined as any number greater than 0 and has no decimals/ fractions in it. Therefore, you would add 1+2+3+4+5+6+7+8+9+10, yielding 55 as your answer.

4 0

2 years ago

Write the raito as a fraction simplest from 12 boys and 15 girls

kiruha [24]

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Here, since we want our ratio in simplest form,

I would use a fraction bar.

Now, the problem asks us to compare

the number of boys to the number of girls.

We know that there are 12 boys

and we know that there are 15 girls.

So our ratio is 12/15.

However, this can be reduced to 4/5.

3 0

2 years ago

Find the length of side AB in the right triangle shown.

Bogdan [553]

Side AB is 72 cm long.

Explanation:

To find the length of side AB you have to use this formula:

${a}^{2} + {b}^{2} = {c}^{2}$

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.

Plug in the numbers into the equation.

${65}^{2} + {b}^{2} = {97}^{2}$
For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:

$4225 + {b}^{2} = 9409$

$9409 - 4225 = 5184$

Soo...

${b}^{2} = 5184$

Then to get the side length, square root 5184.

$\sqrt{5184} = 72$

So the length of the last side is 72 cm.

5 0

2 years ago