Which equation best models the cost of shipping a package, if x represents the weight of the package and y represents the cost?

Find the sum. express your answer in simplest form 8m^2-6/n+3 + 9m^2-4/n+3

Alex787 [66]

To solve this problem you must apply the proccedure shown below:

1. You have the following expressions shown in the problem above:

(8m^2-6/n+3) + (9m^2-4/n+3)

2. As you can see, they have equal denominators, then you have:

(8m^2-6+ 9m^2-4)/(n+3)

3. Therefore, when you sum, you have the following result:

(17m²-10)/(n+3)

The answer is: (17m²-10)/(n+3)

4 0

2 years ago

He lesson. If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be?

Xelga [282]

Answer:

add x

Step-by-step explanation:

The operation "subtract 5" has eliminated the constant from the right side of the equation, so the next step would be to eliminate the variable from the left side. You do that by adding the opposite of the variable term.

The opposite of the term -x is x, so we "add x" as the next step.

This makes the solution look like ...

-x +6 = 5 -3x

-x +1 = -3x . . . . . . subtract 5

1 = -2x . . . . . . . . . add x

-1/2 = x . . . . . . . . .divide by -2

_____

Comment on this solution

My preference is always to add the opposite of the variable term with the smallest coefficient. Here, that term is -3x, so I would add 3x as a first step. This leaves the only x-term with a positive coefficient, so can reduce errors in the solution.

8 0

3 years ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}$

Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$
 $\frac{19}{6} : \frac{4}{3} = x:2$

Crossing the products:
$x* \frac{4}{3} =2* \frac{19}{6}$
⇒ $x* \frac{4}{3} = \frac{19}{3}$
⇒ $x = \frac{19}{3} : \frac{4}{3}$
$x= \frac{19}{3} * \frac{3}{4}$
⇒ $x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

6 0

3 years ago

Read 2 more answers

House has 129 room, 424 doors, and 159 windows. What is the total number of doors and windows?

PIT_PIT [208]

Answer: 583

Step-by-step explanation: Just add 424 and 159.

8 0

3 years ago

Read 2 more answers

Convert 725,000,000 to powers of ten

ZanzabumX [31]