All categories

3 years ago

Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.

Mathematics

1 answer:

dezoksy [38]3 years ago

6 0

Answer:

2+4r. Expressions are equivalent.

Step-by-step explanation:

3r + 10 + r -8

Multiply r and 3

Multiply r and 1

The r just gets copied along.

The answer is r

r

3*r evaluates to 3r

3*r+10 evaluates to 3r+10

3r + r = 4r

The answer is 4r+10

3*r+10+r evaluates to 4r+10

10 - 8 = 2

The answer is 2+4r

3*r+10+r-8 evaluates to 2+4r

The final answer is

2+4r

8 + 2(2r) - 6

Multiply r and 2

Multiply r and 1

The r just gets copied along.

The answer is r

r

2*r evaluates to 2r

Multiply 2 and 2r

Multiply 1 and r

The r just gets copied along.

r

2*(2*r) evaluates to 4r

8+2*(2*r) evaluates to 8+4r

8 - 6 = 2

The answer is 2+4r

8+2*(2*r)-6 evaluates to 2+4r

The final answer is

2+4r

You might be interested in

3. The average distance from the sun to the planet Jupiter is about 483,800.000. The average

MArishka [77]

Answer:

The answer to your question is:

a) sun to jupiter = 4.838 x 10 ⁸ miles

sun to earth = 9.296 x 10 ⁷ miles

b) 5.2 times

Step-by-step explanation:

distance sun to jupiter = 483 800 000 miles

distance sun to earth = 92 960 000 miles

sun to jupiter = 4.838 x 10 ⁸ miles just move the decimal point eight places to the left.

sun to earth = 9.296 x 10 ⁷ miles just move the decimal point seven places to the left.

divide distance sun to jupiter by distance sun to earth =

= 4.838 x 10 ⁸ / 9.296 x 10 ⁷

First divide 4.838 by 9.296 or 4.838 / 9.296 = 0.52

Then we substract the powers: 8 minus 7 or 8 -7 = 1

So we get 0.52 x 10¹ or 0.52 x 10 = 5.2 times

5 0

3 years ago

Karim's dog weighs 1.5 pounds less than

-BARSIC- [3]

Answer: 15 - 2w 1.5, w 6.75

Step-by-step explanation: tHiS aNsWeR sEeMeD tHe MoSt PrAcTiCaL.

i HoPe ThIs HeLpEd!

5 0

4 years ago

5(3a+b)−2(3a+b) in simplest form I NEED HELP!

nordsb [41]

Answer:

$9a + 3b$

Is the answer

Step-by-step explanation:

$5(3a + b) - 2(3a + b) \\ = 15a + 5b - 6a - 2b \\ = 9a + 3b$

$( - ) \times ( + ) = ( - ) \\$

That is why

$( - 2) \times b = - 2$

And

$( - 2) \times 3a = ( - 6)$

7 0

3 years ago

V<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%202%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4} * 2

myrzilka [38]

Answer:

$1\frac{3}{4}$

Step-by-step explanation:

In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.

$\frac{3}{4} \times2\frac{1}{3}$

$2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}$

$\frac{3}{4} \times\frac{7}{3}$

$3\times7=21$

$4\times3=12$

$=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}$

$=1\frac{3}{4}$

Hope this helps.

7 0

3 years ago

What percent of 32 is 5.6

Kobotan [32]

Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

8 0

3 years ago