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

PLEASE HELP
Twice a number n is at least 30

Answers

Answer: n = 15

Step-by-step explanation: 2x15 = 30

Answer:

15

Step-by-step explanation:

15 times 2 is 30. Therefore, 15 can be the correct answer!

Please mark me brainliest if I helped you! Thank you so much!

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solve for p in the literal equation 8p+5r=q

Answers

Subtract by 5r and divide by 8 to isolate p, p=(q-5r)/8

(3 + 5i) + (11 -7i) Write answer in standard form a +bi

Answers

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

the solution to the division problem writtren as a mixed number is 10x426=4260

Answers

Answer:

266 1/4th. I hope this helped, and I would appreciate it if you gave it a good rating. :)

Step-by-step explanation:

1,065 ÷ 4 = 266 and remainder = 1 =>

1,065 = 266 × 4 + 1 =

1,065/4 =

(266 × 4 + 1) / 4 =

266 + 1/4 =

266 1/4

The required division is given as 4260 / 10 = 426.

Given that,
The solution to the division problem writtren as a mixed number is 10x426=4260

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,


Here.
10 * 426 = 4260
4260  / 10 = 426
Dividend / divisor = quotient,

Thus, the required division is given as 4260 / 10 = 426.

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claude spends $315 to rent a car. The car costs $45 per day. He had a coupon for 2 free days. Complete equation to find number of days claude rents the car. D represents the number of days. _ (_-_)=_

Answers

Answer:

9 DAYS

Step-by-step explanation:

he has + 2 days first then you do 315/45 =5 + 2 = 7

Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems were the difference in the arcs divided by two equals the angle

Answers

Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]

[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]

Multiply both sides by 2.

[tex]6x+38=17x-94[/tex]

[tex]38+94=17x-6x[/tex]

[tex]132=11x[/tex]

Divide both sides by 11.

[tex]12=x[/tex]

The value of x is 12.

[tex]arc(AD)=17(12)-3[/tex]

[tex]arc(AD)=204-3[/tex]

[tex]arc(AD)=201^{\circ}[/tex]

Now,

[tex]arc(DCA)=360^\circ-arc(AD)[/tex]

[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]

[tex]m\widehat {DCA}=159^{\circ}[/tex]

Therefore, the correct option is C .

Help ASAP I will give 20 pionts!

Answers

what do you need help with
What’s the question?

If there are 7533 students at Rocky Valley College and 1/3 of the students take speech, how many students take speech at Rocky Valley College?

Answers

Answer:

no of student take speech at college = 1/3*7533=2511

Step-by-step explanation:

40.4 x 18=? Please help

Answers

Answer:727.2

Step-by-step explanation:40.4x18=727.2

PLEASE HELP ME SOLVE THIS ASAP WITH WORK!!

Answers

Answer:

6

Step-by-step explanation:

If you multiply a number from the big polygon by 2/3s, you will get the corresponding number on the small polygon. For example, 6 × 2/3 = 4To find x, find the corresponding number on the big polygon and multiply it by 2/3s. The number on the big polygon is 9. 9 × 2/3 = 6

I hope this helps!

Please explain how this diagrams works

Answers

Answer:

x = 21°

Step-by-step explanation:

opposite angles are equal

therefore, (3x + 1)° = 64°

open the brackets

3x + 1 = 64

3x = 64 - 1

3x = 63

divide both sides by 3

x = 21°

What is 15 x minus 3 y = 0 written in slope-intercept form? y = 5x y = negative 5 x x = one-fifth y x = 5 y

Answers

Answer:

y=5x

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

what’s.the perimeter of a square with an area of 49 cm2

Answers

Answer:

28

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Perimeter =

[tex]4\times s[/tex]

Where s = side

Solve for s using the area

[tex]A =49\\\\49 = s^2\\\\Square\:root \:both\:sides\:of\:the\:equation\\\\\sqrt{49} = \sqrt{s^2} \\\\7 =s\\\\s =7[/tex]

Find the perimeter

[tex]4\times s\\\\= 4 \times 7\\\\= 28[/tex]

The screenshot is the question.

Answers

Answer:

23

Step-by-step explanation:

∠ABE=∠BEF=4x (AC║EF)

∠DBE=5x

∠DBF=180=∠DBE+EBF=5x+65

5x=180-65

x=23

In Noah's classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?



A. 3:1

B. 1:4

C. 4:1

D. 1:3

Answers

Answer:

A-3:1

Step-by-step explanation:

Simplify 6:2 by dividing by 2

3(x+5) = -6x+6 two column proof

Answers

Answer:

- 1

Step-by-step explanation:

Step 1:

3x + 15 = - 6x + 6

Step 2:

9x + 15 = 6

Step 3:

9x = - 9

Answer:

x = - 1

Hope This Helps :)

Can anyone help me with my algebra homework ?

Answers

Answer: No, it is not possible

Why not? Because of the phrasing "share an arm AB". If two angles share a common line, segment or ray, then they are considered adjacent angles by definition. You can think of two rooms sharing the same wall. Those rooms are adjacent. So we cannot have nonadjacent angles sharing the same arm AB.

PLEASE HELP!! Need help with my homework!

Answers

Answer:

Line segment: AD (without arrow)

Ray: BA (with one sided arrow)

Rays with common endpoint: AC and AD (with one sided arrow)

Intersection: AE (double sided arrow)

Collinear points: B, A, C

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88 students for 4 classes
what is the unit rate?

Answers

Answer:

22

Step-by-step explanation:

Answer:

22/1

Step-by-step explanation:

Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if necessary.

Answers

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.

Find the slope, if it exists, of the line containing
(-8,-5) and (-19,- 13)

Answers

Answer: 8/11

Step-by-step explanation:

To find slope you can use this formula:

y2-y1/x2-x1

substitute the values with the ones from the 2 points

-13-(-5)= -8

-19-(-8)=-11

you then divide -8/-11

and you get 8/11

8/11 is the slope of those 2 points.

One side of triangle is 3x -5.. the other side is 19-x and the base is 2x. What is the perimeter of the triangle

Answers

Answer:

4x+14

Step-by-step explanation:

In order to find the perimeter of an triangle you need to add up all the sides of the triangle.

3x-5+19-x+2x --->  3x+14-x+2x --> 4x+14

If 4 pounds of sugur cost $2, the cost of 1 pound of sugar cost

Answers

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

What is the domain of the given function?

{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

Answers

domain: set of x-coordinates

3, 6,-1, 5, -4

What is 200 ÷ 6.24 How do you work this out

Answers

Answer = 200/6.24
= 32.051
Approximately = 32.1

Amtrail trains provide efficient, nonstop transportation between Los Angeles and San Diego. Train A leaves Los Angeles headed toward San Diego at the same time that Train B leaves San Diego headed for Los Angeles, traveling on parallel tracks. Train A travels at a constant speed of 84 miles per hour. Train B travels at a constant speed of 92 miles per hour. The two stations are 132 miles apart. How long after they leave their respective stations do the trains meet

Answers

Answer:

0.75 hour or 45 mins

Step-by-step explanation:

From the question, we are told that:

Speed of Train A = 84 miles per hour. Speed of Train B = 92 miles per hour.

Total speed travelled by both trains =

84mph + 92mph

= 176 mph

The distance between the two stations = 132 miles.

We are asked in the question to: find out how long after they leave their respective stations do the trains meet.

This means we should calculate the time

Time = Distance/ Speed

= 132 miles/176 miles per hour

= 0.75 hour

We can convert to minutes if we like

1 hour = 60 minutes

0.75 hour =

0.75 hour × 60 minutes/ 1 hour

= 45 minutes

Therefore, the trains meet after 0.75 hour or 45 minutes after they have left their respective stations.

What is the value of the expression 2.58 x - 53?​

Answers

Answer:

-136.74

Step-by-step explanation:

-136.74 is the answer because 2.58x53= 136.74 and then because one of the numbers is negative and in multiplication and devision if there is an odd number of negatives it’s negative and if there is an even amount it’s positive

find the value of x​
WILL MARK AS BRAINLIEST!

Answers

Answer:

37

Step-by-step explanation:

180-(81+62)=37

Answer:

x = 37°

Step-by-step explanation:

The sum of all internal angles in a triangle will always equal 180.

Thus, we know that 81 + 62 + x must equal 180.

81 + 62 + x = 180

143 + x = 180

Subtract 143 from both sides:

x = 180 - 143

x = 37

Answer: x = 37°

On the map, the school and the sports park are 12 centimeters apart.

What is the actual distance between the school and the park?

Answers

Answer:

15 km

Step-by-step explanation:

On the map, the school and the sports park are 12 centimeters apart.

scale 4cm : 5km

find;

What is the actual distance between the school and the park?

solution:

        12 cm     =   4 cm                  

          X km            5 km

cross multiply:

4 cm X km = 12 cm (5 km)

X =  12 cm (5 km)

             4 cm

X = 15 km

therefore, the distance between the school and the sports park is 15 km

Help me ASAP plssssssssssssssss

Answers

Answer: it’s B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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