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3 years ago

2. Match each set of equations with the move that turned the first

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

Step-by-step explanation:

1) In the first equation, - 4x was added to both sides of the equation. This is expressed as

6x - 4x + 9 = 4x - 4x - 3

2x + 9 = - 3

2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as

- 4 × - 1/4(5x - 7) = - 18 × - 1/4

5x - 7 = 4.5

3) In the third equation, - 4 was added to both sides of the equation. This is expressed as

8 - 10x = 7 + 5x

8 + (- 4) - 10x = 7 + (-4) + 5x

8 - 4 - 10x = 7 - 4 + 5x

4 - 10x = 5 + 5x

4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as

- 5x/4 × - 4 = 4 × - 4

5x = - 16

5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as

12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4

3x + 1 = 5x + 6

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If 15% of x is 42, what is x?

Blizzard [7]

Answer:

x=280

Step-by-step explanation:

We have, 15% × x = 42

or,

100

× x = 42

Multiplying both sides by 100 and dividing both sides by 15,

we have x = 42 ×

100

x = 280

If you are using a calculator, simply enter 42×100÷15, which will give you the answer.

6 0

3 years ago

Read 2 more answers

Al, Tom and Joe share €3000.

agasfer [191]

Answer:

Tom's share = €800

Step-by-step explanation:

Given that:

Amount shared by Al, Tom and Joe = €3000

Ratio of Al's share to Tom's share = 5 : 4

Joe's share = 1.5(Tom's share) = 1.5(4) = 6

Therefore,

Ratio of Al, Tom and Joe = 5 : 4 : 6

Let,

x be the number of times of amount each get.

5x + 4x + 6x = 3000

15x = 3000

Dividing both sides by 15

$\frac{15x}{15}=\frac{3000}{15}\\x=200$

Tom's share = 4x = 4(200) = €800

Hence,

Tom's share = €800

5 0

3 years ago

Which statements are true? (look at picture)

Makovka662 [10]

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

$n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)$

this is not an odd number

$n(n-1)=(2a+1)2a$

this is not an odd number

$(n-1)^2=(2a+1-1)^2=4a^2$

this is not an odd number

$n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1$

so this is an odd number

$n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1$

so this is an odd number

$(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1$

this is an odd number

hope this helps

7 0

3 years ago

What is the common difference in this sequence: 4, 13, 22, 31, 40?

IgorC [24]

Answer:

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

13-4 =9

Lets check:

Take the third term and subtract the second term

22-13 =9

The common difference is 9

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3 years ago

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Who can answer this ?? Win BRAINLEST ! HELP Thank You In Advance !

kirill [66]

ANSWER

$( {x - 11)}^{2} + ( {y - 5)}^{2} = 16$

EXPLANATION

The given circle has center:

(11,5)

and

radius: 4

The equation of a circle with center (h,k) and radius , r is given in standard form as;

$( {x - h)}^{2} + ( {y - k)}^{2} = {r}^{2}$

We substitute the values into the formula to obtain,

$( {x - 11)}^{2} + ( {y - 5)}^{2} = {4}^{2}$

$( {x - 11)}^{2} + ( {y - 5)}^{2} = 16$

5 0

3 years ago