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sdas [7]
3 years ago
5

The least common denominator that can be used to add and is 24x2. What value of b is needed to rewrite the first fraction with t

he LCD?

Mathematics
2 answers:
Katarina [22]3 years ago
6 0
3 is the answer to the question.
Whitepunk [10]3 years ago
3 0

\frac{x+1}{8x^2} and \frac{2x-3}{12x}

LCD is 24x^2

we need to find out b when multiply with first fraction to get 3x+3/24x^2

\frac{x+1}{8x^2} (\frac{b}{b}) =\frac{3x+3}{24x^2}

We need to find out a number what multiply with 8x^2 to get 24x^2

8x^2 * 3 = 24x^2

\frac{x+1}{8x^2} (\frac{3}{3}) =\frac{3(x+1)}{24x^2}=\frac{3x+3}{24x^2}

So the value of b is 3

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Complete the page for 15 points.
sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

<em>The numbers are -4, -3, and -2.</em>

3 0
3 years ago
What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive
Sveta_85 [38]

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

7y-15=-29

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

7y-15+15=-29+15\\\Rightarrow 7y=-14

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

a\times \frac{1}{a} = 1

So, let us multiply the given equation with \frac{1}7

7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

7 0
3 years ago
Elijah walks home from school several times each week. He walks the 2.8-mile distance at an average rate of
Radda [10]

Answer:

Elijah's" (y cualquier palabra posterior) fue ignorada debido a que hemos restringido las consultas hasta 32 palabras.

4 0
3 years ago
What is the greatest common factor of 20 and 8
Allisa [31]

Answer:

4

Step-by-step explanation:

20: 1, 2, 4, 5, 10, 20

8: 1, 2, 4, 8

Greatest common factor is 4!



3 0
3 years ago
Read 2 more answers
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anygoal [31]
Penny has 5 dolls because 27/3= 9 and 9-4 is 5
7 0
3 years ago
Read 2 more answers
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