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2 years ago

Simplify the following expression. A. B. C. D.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

5 0

Answer:

Step-by-step explanation:

Let's start by crossing everything out!

12/3 can be crossed out to 4.

a^3/a^2 can be crossed out to a.

b^6/b^4 can be crossed out into b^2.

c^5/c^5 is just 1.

So which the results we got, we can multiply them, so that it is 4ab^2.

4ab^2 is our final answer!

You might be interested in

Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho

OLEGan [10]

Answer:

pair of jeans = 21

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

Equation 1: 5x + 2y = 166

3 pair of jeans and 4 shirts for $164. This means:

2x + 4y = 164

Dividing both sides by 2, we get:

Equation 2: x + 2y = 82

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0

3 years ago

Who could help me please and thank you

kondor19780726 [428]

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

$-\frac{x^3}{6} - 10 + x$

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

$-\frac{x^3}{6} -10 + x = (\frac{-1}{6})*x^3 - 10 + x$

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

5 0

3 years ago

Hi answeeeer and no links

ololo11 [35]

Paper he needs = total surface area

So to break it down into 2D shapes, that prism has 2 2D triangles, and 3 2D rectangles of different sizes.

The triangles are the same size, since you have 2, just multiply 2 by the formula for the area of a triangle: 1/2(base)(height) which is 2x1/2(5)(12) = 60

Next you'll need the area of all the rectangles: length x width. which would be (5 x 5) + (13 x 5) + (12 x 5) = 150

So the total amount of wrapping paper he'd need is 150mi^2

7 0

3 years ago

George bought 7 quarts of cleaning fluid: x quarts at $3.00 per quart & y quarts at $2.00 per quart. Find x & y if the t

PolarNik [594]

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

7 0

3 years ago

What is 5 over 10 times 5

Marina86 [1]

Answer: 2.5

Step-by-step explanation:

5/10 * 5

5 becomes 5/1

Multiply 5*5 and get 25

Multiply 10*1 and get 10

Divide 25/10 and get 2.5

Remember: When multiplying decimals move to the RIGHT. When dividing decimals move to the LEFT

Example Multiplying: 2.465*100

Before: 2.465

After: 246.5

Example Dividing: 156.798 divided by 100

Before: 156.798

After: 1.56798

Hope this helps!!!!

8 0

3 years ago