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kondaur [170]
3 years ago
14

Which expressions are equivalent to 2(b+3c)?

Mathematics
2 answers:
Rina8888 [55]3 years ago
6 0

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

2(b+3c)

Distribute the number 2

2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3

3(b+2c)=3b+3(2c)=3b+6c

3b+6c \neq 2b+6c

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

2(b)+2(3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice C is equivalent to the given expression

horsena [70]3 years ago
5 0

Answer:

B and C

Step-by-step explanation:

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Divide j by 9 and the multiply the quotient by 2
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Step-by-step explanation:

you will need to do:

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3 0
3 years ago
Please I need help
solong [7]

9514 1404 393

Answer:

  (c)  27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

Step-by-step explanation:

As with many multiple-choice questions, you only need to look at something that will discriminate the correct answer from the wrong one.

The highest-degree product term is the product of the highest-degree terms in the factors:

  (3x^5)(9x^6) = 27x^11

This matches choice C only.

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In case you're interested in actually performing the rest of the multiplication, the distributive property applies.

  (1 +3x^5)(17x^2 +9x^6 -20)

  = 1(17x^2 +9x^6 -20) +3x^5(17x^2 +9x^6 -20)

  = 17x^2 +9x^6 -20 +51x^7 +27x^11 -60x^5

Writing these terms in order of decreasing exponents gives ...

  = 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

7 0
2 years ago
SOMEONE HELP ME please​
olga nikolaevna [1]

Answer:

the first and second one

Step-by-step explanation:

the two last ones go over budget

1) 20×30=600 30×50=1500 total is 2100

2)50×30=1500 10×50= 500 total is 2000

3) 40×30=1200 40×50=2000 total is 3100>over budget.

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3 0
2 years ago
Whats the answer to -3a+8-8(7-2a)​
Serga [27]

Answer:3.1875

Step-by-step explanation: Simplifying

-3 + 8 + -8(7 + -2a) = 0

-3 + 8 + (7 * -8 + -2a * -8) = 0

-3 + 8 + (-56 + 16a) = 0

Combine like terms: -3 + 8 = 5

5 + -56 + 16a = 0

Combine like terms: 5 + -56 = -51

-51 + 16a = 0

Solving

-51 + 16a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '51' to each side of the equation.

-51 + 51 + 16a = 0 + 51

Combine like terms: -51 + 51 = 0

0 + 16a = 0 + 51

16a = 0 + 51

Combine like terms: 0 + 51 = 51

16a = 51

Divide each side by '16'.

a = 3.1875

Simplifying

a = 3.1875

5 0
3 years ago
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