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saw5 [17]
3 years ago
6

Read the word problem. George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How m

any points does George have? What operations are needed to solve this word problem, and in what order should they be used?
addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order
Mathematics
1 answer:
lesantik [10]3 years ago
7 0
For this case, the first thing we are going to do is define the following variables:
 x: Sister points.
 y: George's points.
 We write the following mathematical equation:
 y = 2 * (x-4)
 His sister has 16 points:
 y = 2 * (16-4)
 y = 2 * (12)
 y = 24

 Answer:

 How many points does George have?
 
 George has 24 points.

 What operations are needed to solve this word, and in what order should they be used?

 subtraction and multiplication, in that order
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Is -8-2(3+2n)+7n equivalent to -30-13n. Explain why or why not.
seropon [69]

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

  • (-) + (-) = (-)
  • (-) × (-) = (+)
  • (-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
  • (-) × (+) = (-)
  • (-) - (+) = (-)
  • (+) - (-) = (+)

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Learn more:

You can learn more about the directed numbers in brainly.com/question/10364988

#LearnwithBrainly

8 0
3 years ago
14 bugs are crawling on the steps. Some of the bugs are black, and 4 are
docker41 [41]

Answer:

b  = 14-4

Step-by-step explanation:

Let the number of black bugs be b

Let the number of green bugs be g

If 14 bugs are crawling on the step, then;

b + g = 14 ....1

If there are 4 green bugs, then g = 4

Substitute g = 4 into the equation

b + g = 14

b + 4 = 14

b = 14 - 4

Hence the sentence that can be required to find the number of black bugs is b  = 14-4

8 0
3 years ago
Color the star BLUE if the statement is true and RED if false
Anna [14]

Answer:

RED

BLUE

BLUE

RED

BLUE

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4 0
2 years ago
Can you please factorize 2x²+6x
Arisa [49]

<u>To factorize something</u>:

 ⇒ need to simplify the equation to its most basic form

<u>Let's solve</u>:

  2x^2+6x=2(x^2+3x)=2x(x+3)

Thus the factorized form is ⇒ 2x(x+3)

<u>Answer: 2x(x+3)</u>

<u></u>

Hope that helps!

3 0
2 years ago
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Answer:

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Step-by-step explanation:

Hope it helps :)

8 0
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