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Nikitich [7]
3 years ago
7

Combine the like terms to create an equivalent expression: 2s+(−4s)=?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

Answer:

2s+\left(-4s\right)=-2s is the equivalent expression as 2s+\left(-4s\right) is equal to -2s.

Step-by-step explanation:

Considering the expression

2s+\left(-4s\right)

As we know that

  • Like terms are said to be the terms which hold the same variables raised to the same power.
  • For example, 3x and 2x are like terms as they contain the same variable x raised to the same power.

Lets solve the expression

2s+\left(-4s\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

2s-4s

\mathrm{Add\:similar\:terms:}\:2s-4s=-2s

-2s

Therefore,

2s+\left(-4s\right)=-2s is the equivalent expression as 2s+\left(-4s\right) is equal to -2s.

Keywords: equivalent expression, like terms

Learn more about equivalent expression from brainly.com/question/8902137

#learnwithBrainly

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Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th
ruslelena [56]
To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).

We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.

So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:

4 1/2 (times 6 to both top and bottom) =
4 6/12

2 1/4 (times 3) = 2 3/12

6 1/3 (times 4) = 6 4/12

Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.

Thus, Peter makes a total of 13 1/2 cups.

Hope this made sense! tell me if anything is confusing/incorrect :))
8 0
3 years ago
Solve for n in the literal equation a(n-2)+5=bn
Helga [31]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<em><u>a(n-2)+5=bn</u></em>

<em><u>Add -bn to both sides</u></em>

<em><u>an-2a+5+(-bn)=bn+(-bn)</u></em>

<em><u>an-bn-2a+5=0</u></em>

<em><u>add two a to both sides</u></em>

<em><u>an−bn−2a+5+(2a)=0+(2a)</u></em>

<em><u>an−bn+5=2a</u></em>

<em><u>Add -5 to both sides</u></em>

<em><u>an−bn+5+(-5)=2a+(-5)</u></em>

<em><u>an−bn=2a−5</u></em>

<em><u>Factor out our variable</u></em>

<em><u>n(a−b)=2a−5</u></em>

<em><u>Divide both sides by a-b</u></em>

<em><u>n(a-b)/a-b=2a-5/a-b</u></em>

<em><u>n=2a-5/a-b</u></em>

<em><u>Hope this helps</u></em>

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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