Find two consecutive even integers such that four times the first equals three times the second

Answers

Answer 1

Answer:

1st: 2x

2nd: 2x+2

--------

Equation:

4(2x) = 3(2x+2)

-------

8x = 6x + 6

2x = 6

x = 3

-----

1st 2x = 6

2nd: 2x+2 = 8

Step-by-step explanation:

Answer 2

The two consecutive even integers such that four times the first equals three times the second is 6 and 8.

What is an integer ?

An integer is a number which has no decimal part.

According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.

Let, the first even integer to be x.

∴ The second integer will be (x+2).          [ As every consecutive even                                                                                    

                                                                            integers comes after 2 digits]

Now, Four times the first equals three times the second which is

4x = 3(x+2)

4x = 3x + 6.

4x - 3x = 6

x = 6.

∴ The even integer is 6 and the second integer is 8.

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Related Questions

Find the number that should be added to the expression to make it a perfect square. k^2-5k

Answers

(K-5/2)^2-25/4 is your answer

Answer:

25/4

Step-by-step explanation:

please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3

Answers

Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91

simplify. enter the answer in the box.

Answers

Answer:

0.005859375

Step-by-step explanation:

A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formulas to determine the perimeter of the ballroom. a. P=2+60+2+30 b. P=60x30 c. P= 30x 30 + 60 x60 d. P= 2 x 60 + 2x 30

Answers

Answer:

The answer is D: 2 x 60 + 2 x 30

Step-by-step explanation:

The perimeter is the lengths of all the sides of a shape combined.  Therefore, 60 is one side and 30 is the other side.  Since the opposite sides are equal, there are two sides that equal 60 and two sides that equal 30.  

So, 60 + 60 + 30 + 30.  

60 + 60 = 60 x 2

30 + 30 = 30 x 2

Therefore, the answer is 60 x 2 + 30 x 2.  

Simplify: (5x2 - 3x - 4)(3x - 7) A. 15x3 - 44x2 + 9x - 28 B. 15x3 - 44x2 + 9x + 28 C. 15x3 + 26x2 - 33x - 28 D. 15x3 - 26x2 - 33x + 28

Answers

Answer:

A. 15x^3 -44x^2 +9x +28

Step-by-step explanation:

(5x^2 -3x -4)(3x - 7)

first, distribute by multiplying the terms in each parenthesis with each other:

(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)

simplify:

15x^3 -35x^2 -9x^2 +21x -12x +28

Now combine like terms:

15x^3 -44x^2 +9x +28

y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well

Answers

Answer:

3x-y=-13

Step-by-step explanation:

y-3x=13

Use the commutative property to reorder the terms

-3x+y=13

Change the signs on both sides of the equation

3x-y=-13

An air conditioning system can circulate 400 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?

Answers

Answer:

14.814 i belive

rashida had 18 correct answers and 12 incorrect anwesrs what was rashida score

Answers

Answer:

rashid score = 18/(18+120=18/30

Step-by-step explanation:

100 POINTS HELP / Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

Answer:

slope is zero

Step-by-step explanation:

it is a horizontal line which means the slope all points that lie on the line have a -coordinate

[tex]\huge\boxed{No\;slope}[/tex]

There is no rise over run therefore, there is no slope.

You have to have rise over run to be able to have a slope.

x +2y = 5
5x -y = 3
I need help with my homework please anyone

Answers

Answer:

Step-by-step explanation:

Solve for j.
-12 + 6j = 7j

Answers

Answer:

[tex]\large\boxed{j = -12}[/tex]

Step-by-step explanation:

-12 + 6j = 7j

Subtract 6j from both sides of the equation

[tex]\large\boxed{j = -12}[/tex]

This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.

Hope this helps :)

need answer asap pleasee

Answers

The answer should be (1,5)
The answer might be (1,5)

The diagram shows the preimage ABCD and five reflected images. Match each reflection of ABCD with its Image after
the transformation. Drag the items on the left to the correct location on the right.

Answers

Answer:

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Evaluate 3|−5| − 2|−2|

Answers

Answer:118

Step-by-step explanation:

3!-5!-2!-2! =? IF ! MEANS FACTORIAL, 3! MEANS 3X2X1=6,

-5! MEANS -5X4X3X2X1=-120

-2!= -2X1=-2

-2!=-2X1=-2

PROBLEM BECOMES 6--120-2-2=118

A 500-gallon water tank drains at a rate of 50 gallons per minute. The amount of water left in the tank depends on the number of minutes it has been draining. What is the range of this relation?​

Answers

Answer:0<Y<500

The amount of water Left in the thing depends on the number of minutes it’s been draining so the dependent variable is the amount of water left in the tank.

-(7-2x)+7=-7 help please

Answers

Answer:

X = -7/2

Step-by-step explanation:

Answer:

x = -7/2

Step-by-step explanation:

-(7-2x)+7=-7

          -7   -7

Start by subtracting -7 from both sides.

-(7-2x) = -14

Divide both sides by -1 to eliminate the negatives.

-(7-2x) = -14

---------     -------

-1               -1  

Simplify.

7-2x = 14

Subtract -7 from both sides.

-2x = -7

Divide both sides by -2

-2x = -7

-----    ----

-2        -2

x= -7/2

Check if -7/2 by plugging it back into the equation: (-7/2 = -3.5)

-(7-2(-3.5))+7 = -7

(5.23x + 3.76) − (3.67x − 6.39)

Answers

Answer:

(5.23x + 3.76) - (3.67x - 6.39)

K C C

(5.23x + 3.76) + (-3.67x + 6.39)

1.56x + 10.15

Step-by-step explanation:

Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years

Answers

Answer:

you will get back 167$

Step-by-step explanation:

What is -5(-3r-3)=75

Answers

Answer:

r = 4

Step-by-step explanation:

-5(-3r - 3) = 75

Divide both sides by -5.

-3r - 3 = -15

Add 3 to both sides.

-3r = -12

Divide both sides by -3.

r = 4

-5(-3r-3)=75 is equal to 4

Please help!!! I would like an explanation along with your answer. Thanks

Answers

Answer:

x = 12/13

BC = 140/13

Step-by-step explanation:

If A is the mipoint of BC, then AB is half of BC.

AB = BC / 2

8x − 2 = (3x + 8) / 2

16x − 4 = 3x + 8

13x = 12

x = 12/13

BC = 3x + 8

BC = 3 (12/13) + 8

BC = 36/13 + 104/13

BC = 140/13

two more than4 times a number is -18

Answers

-5, work backwards. you know 2 + 4 * ? = -18.
start by subtracting 2 from both sides giving you 4 * ? = -20.
now you divide 4 from both sides giving you ? = -5

i used ? to represent the missing number btw!!

Which of the following is not a rate?

Answers

Answer:

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Step-by-step explanation:

there's no image attached

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Step-by-step explanation:

Let p: It is the year 2020.
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O True
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Answers

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Wha t is the surface area of the square pyramid represented by the net below

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112
48
64
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Answers

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Answers

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Complete the table for the equation 2x-5y=10

Answers

X. Y.

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Answer:

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followme and mark me brainliest

A portrait without its frame has a height 1.5 times its width w, in inches. The width of the frame is 4 inches on all sides. What is the area of the frame

Answers

Answer:

Step-by-step explanation: Multiply 4 x 4 or add each side together.

4 x 4 = 16 x 1.5 = 24

The area is 24

4) Find the total cost of a $0.95 pen with a 60% markup.

Answers

$1.52 is the total cost. Good luck and have an amazing day!


Write an expression that is equivalent to 5(x + 2) - 7(x + 2)?

Answers

Answer:

-2x-4

Step-by-step explanation:

Just simplify

5x +10-7x-14
-2+10-14
-2x-4
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