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mihalych1998 [28]
3 years ago
11

Can anyone explain the method for algebraic fraction? We have to do it for maths, and i'm really struggling with it. Here is an

example question for what i'm doing.
\frac{x+1}{2} + \frac{x+2}{5} = 3 I need to find x
If you could do a detailed explanation on how to reach the answer that would be perfect.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

x=3

Step-by-step explanation:

The approach is not very different from regular fractions.

You have to get to a common denominator to be able to add them.

10 is a good denominator (multiply the denominators).

multiply the first term by 5, and the second one by 2:

\frac{5 \cdot (x+1)}{5 \cdot 2} + \frac{2 \cdot (x+2)}{2 \cdot 5}  = 3

\frac{5x+5 + 2x+4}{10} = 3

\frac{7x+9}{10} = 3

7x + 9 = 30

7x = 30 - 9

x = 3

let me know if you need more details on one of the steps

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maxonik [38]

Answer:

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

Step-by-step explanation:

We are given the following in the question:

"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."

Independent and Dependent Variable:

  • Dependent variable is the variable whose value depends on the independent variable.
  • Independent variable is the free variable.

For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.

Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.

Thus, the correct answer is

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

8 0
3 years ago
Name the property used to make the conclusion. If x+ 3 = 17, then x = 14 -
zimovet [89]

Answer:

Subtraction property of inequality

Step-by-step explanation:

Step 1: Definition of Subtraction property

Subtraction property of equality refers to balancing an equation by using the same mathematical operation (minus) on both sides.

Step 2: Relate the definition above with the given question.

It can be seen from the statements in the question that 3 was subtracted from both sides of the initial equation to get:

x + 3 = 17 \\ x + 3 - 3 = 17 - 3 \\  x = 14

6 0
2 years ago
Evaluate the expression if a= -5 and b=-2.<br> a + 3b<br> A:4<br> B:1<br> C:11<br> D: -11
yuradex [85]

Answer:

D.-11

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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Drupady [299]

Step-by-step explanation:

I am not allowed to answer more than 3 questions.  So I will do the first 3.

15a. i)  (2/3) = 4/9

      ii)  (2/3) = 8/27

      iii)  (2/3) = 16/81

  b.  The product is small because you are finding the fraction of a fraction.

16.  Compared to the factors, the product is less than each fraction.  This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction.  When you multiply a whole number by a fraction, the whole number decreases.  The same applies to a fraction.

17a.  0.4 × 0.3 = 0.12

  b.  0.4 = 4/10 = 2/5

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8 0
3 years ago
Zeke read z books over the summer. Michelle read twice as many books over the summer as Zeke. Tay read 3 more books over the sum
Vikki [24]

Answer: 4z + 3

Step-by-step explanation:

Number of books read by Zeke = z

Michelle read twice as many book as Zeke. This will be: = 2 × z = 2z

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The expression that represents the total number of books read over the summer by Zeke, Michelle and Tay would be the addition of the books read by each person. This will be:

= z + 2z + z + 3

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6 0
3 years ago
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