There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number

Answers

Answer 1
let's say "n" is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply "n" by 2. Two times any number will make an even number.

consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.

1st even number = 2n
2nd even number = 2n + 2
3rd even number = 2n + 4

twice the first number (2n) is 20 more then the second (2n + 2).

2(2n) = 2n + 2 + 20

4n = 2n + 22

4n - 2n = 22

2n = 22

n = 11

Now use n = 11 to find the 3 consecutive even numbers.

1st even number = 2(11) = 22
2nd even number = 2(11) + 2 = 24
3rd even number = 2(11) + 4 = 26

22, 24, 26

Related Questions

10 + (-2X + 8) + 2y when x = -5 and y = -9

Answers

Answer:

10

Step-by-step explanation:

10 + (-2 • -5 + 8) + 2 • -9

10 + 10 + 8 + -18

20 + 8 + -18

28 - 18

10

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period. Alexa’s Graph A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6). Mia’s Table A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13. Based on the data on the graph and in the table, which statement gives an accurate comparison? Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table. Alexa traveled at a faster rate because the slope of her line is Four-thirds, which is greater than the slope of the line described by the data in Mia’s table. Mia traveled at a faster rate because the slope of the line described by the data in her table is One-half, which is greater than the slope of the line on Alexa’s graph. Mia traveled at a faster rate because the slope of the line described by the data in her table is StartFraction 2 Over 1 EndFraction, which is greater than the slope of the line on Alexa’s graph.

Answers

Answer:

number 1

Step-by-step explanation:

Answer:

1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

We know that,

Slope of  and  is

Mia records the distance traveled over the time by the table.

Taking the points (10,5) and (18,9), the slope is given by,

Mia's slope =

i.e. Mia's slope =

i.e. Mia's slope =

Alexa records the distance traveled over the time by the graph.

Taking the points (4,3) and (8,6), the slope is given by,

Alexa's slope =

i.e. Alexa's slope =

As, Alexa's slope =  >  = Mia's slope.

So, the correct option is,

1. Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia’s table.

Answer:

1. Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

Which two lines must be parallel in the diagram?

Answers

Answer: j || k

Step-by-step explanation:

only j and k are explicitly shown to be 90 degrees, so they must be parallel since they have the same angle when intersected by line l.

Since ∠1 and ∠2 are corresponding angles and both have an equal measure, then j║k.

We need to check which lines from the given diagram are parallel.

What are different conditions to prove the given lines are parallel?

Conditions to prove the given lines are parallel are as follows:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Here, ∠1 and ∠2 are corresponding angles.

Thus, ∠1 =∠2=90°.

Since ∠1 and ∠2 are corresponding angles and both have an equal measure, then j║k.

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A bus uses 2.5 L of diesel for every 8 km. How many liters of diesel would a bus use on a trip of 275
km?

Answers

Use cross multiplication to come up with the answer.

[tex] \frac{2.5}{8} = \frac{x}{275} [/tex]

Answer:

Udbdubsh848488483837376383938838737387484.

Step-by-step explanation:

Udnhduneurueooeiruurur

help me please with this question !!

Answers

Answer:

ribbon ata yan

Step-by-step explanation:

ssa

Jack bought 7 apples for $1.00. The cost y varies directly with the number of apples x. Write a direct variation equation that represents this relationship. How much would Jack pay for 12 apples?

Answers

Answer:

Step-by-step explanation:

7 apples for $1.00  is .142857 an apple

.142857*12=1.71

7:1    12:1.7

Let x represent the number of pages left to be read in a book consisting of 780 pages.
Which of the following is the domain of x?
A. The set of all integers between 0 and 750 inclusive

B. The set of integers

C.the set of whole numbers

D. The set of all real numbers between 0 and 750 inclusive

E the set of real numbers

Answers

Answer:

E.

Step-by-step explanation:

not sure sorry...anyone help this

Use the figure to find the measures of the numbered angles.

∠1 =

∠2 =

Answers

Step-by-step explanation:

The given angle is 107°;

     Since the lines given are parallel and a transversal cuts them, angle 1 and 107° are corresponding angles.

Corresponding angles are equal;

 So, ∠1  = 107°;

Now, ∠1 and ∠2 are angles on a straight line;

       ∠1 + ∠2  = 180°

         107° + ∠2  = 180°

                    ∠2  = 180°  - 107°  = 73°

Answer: <1= 107      <2=73

Step-by-step explanation: Zigzag method for <1

<1+<2=180

180-<1=<2

180-107=73

5) A certain type of virus triples every 4 hours. If you started with 16 viruses, how many
would you have after 20 hours?

Answers

256 you have to do 4*3 then times 20 and add 16

Triangle A B C is reduced to triangle A prime B prime C prime. Triangle A prime B prime C prime is closer to point O. Which statements are accurate about the dilation? Check all that apply. The dilation is a reduction. The scale factor is between 0 and 1. A is the image of A' Point O is the center of dilation. OB = BB'

Answers

Answer:

A B D

Step-by-step explanation:

options A, B, and D are correct. Those are:

The scale factor is between 0 and 1. The dilation is a reduction.Point O is the center of dilation.

What is Scale?

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of size significant in two different ways.

Given, Triangle A B C is reduced to triangle A prime B prime C prime. Triangle A prime B prime C prime is closer to point O. For that we have to imagine a Dilation point.

So, Let "O" origin point is the dilation center for the given Triangles.

Since triangle A'B'C' is closer to the origin point thus the Scale factor will be less than 1 and Dilation will be reduced

Thus, option A is correct.

Since triangle A'B'C' is closer to the origin point thus the Scale factor will be less than 1

Thus, option B is correct.

Since it is a dilation thus A is not the image of A'

since the scale factor is not mentioned thus we can say that if OB = BB'

Therefore, options A, B, and D are correct.

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Ive been on this test for 3 hours so if you know anything about trigonometry please help

Answers

Answer:

Romeo is 128.61 feet from the tower.

Step-by-step explanation:

===================================================================

tan(19) = [tex]\frac{25}{x}[/tex]

x = [tex]\frac{25}{tan(11)}[/tex]

x = 128.61

Romeo is 128.61 feet from the tower.

===================================================================

Solving for x please help me

Answers

The answer is 4 since corresponding angles are equal to each other.

Answer:

A.) X = 4  (please mark brainliest)

Step-by-step explanation:

Alternate interior angles

21x + 6 must equal 90

21x + 6 = 90

21x = 84

x = 4

Sammy makes $2362/month as a baseball coach. He is making a budget, and has made the following chart in order to
divide his monthly paycheck into his accounts:
Expense type Frequency
Account Monthly \/tems
amount
Essential (fixed) Monthly Checking $1292 Rent, car, insurance
Essential Monthly Checking $420 Basic groceries, telephone, electricity,
(variable)
cable TV, batting practice.
Non-essential Monthly Cash
$260 Snack items, restaurants, gifts, movies.
Other
Annual Emergency $130 Health exams, clothing, food, baseball
(predictable)
savings
coach magazine
Other
Annual Emergency $210 Non-insured healthcare, repairs, and
(unpredictable)
savings
income replacement.
Other (long-term) 5 years Vacation $50 Vacation
savings
Total
$2362
Sammy has included a total row to help make sure that his paycheck can be divided to make deposits into these 4

Answers

Answer:

B

Step-by-step explanation:

Based on the amount that Sam saves and his living expenses, the amount he needs to save and the length of time it will take him to do so is B. 5,136; Approximately 24 months.

What are Sam's living expenses?

= Fixed essential expenses + Variable essential expenses

= 1,292 + 420

= $1,712

How much does Sam need to save?

Sam needs to save three times his expenses:

= 1,712 x 3

= $5,136

How long will it take Sam to save this amount?

= Amount to be saved / Amount saved monthly

= 5,136 / 210

= 24 months approximately.

________________________________________________________

The question is:

Using his essential expenses as a guideline, how much will Sammy need to save if he wants to have 3 times the amount of his living expenses in the bank as part of his emergency savings. How long will it take him to achieve his goal?

a. $1,712; approximately 8 months

b. $5,136; approximately 24 months

c. $6,486; approximately 30 months

d. $2,162; approximately 6 months

________________________________________________________

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Decide if each value is a solution of the inequality 2y < 8.

Answers

Answer/Step-by-step explanation:

< means that it is less than or equal to.

Input value 2) 2 x 2 = 4 solution

input value 3) 2 x 3 = 6 solution

input value 4) 2 x 4 = 8 solution

input value 5) 2 x 5 = 10 insoluble

input value 6) 2 x 6 = 12 insoluble

The value of y which can be the solution of the inequality, are 2, 3,  and 4

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality, 2y ≤ 8,

For y = 2,

2 × 2 = 4

Therefore, the value of inequality is 4, and is a solution.

For y = 3,

2 × 3 = 6,

Therefore, the value of inequality is 6, and is a solution.

For y = 4,

2 × 4 = 8

Therefore, the value of inequality is 8, and is a solution.

For y = 5,

2 × 5 = 10,

Since, the value of inequality should be less than or equal to 8, and 10 is greater than 8, therefore, it is not a solution of the inequality.

Similarly, y = 6, is also not a solution of the inequality.

Hence, the value of y which can be the solution of the inequality, are 2, 3,  and 4

Learn more about inequality, click;

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a. find the tangent ratio of angle FKG
b. find the tangent ratio of angle BKG
c. find the tangent ratio of angle KDF
d. find the tangent ratio of angle BCK
e. find the XY coordinates of point g with the center k

use the image to find the answers for each part mathematics high school done​

Answers

Answer:

a. tan∠FKG = √3

b. tan∠BKG = 1

c.  [tex]tan\angle KDF = \dfrac{1}{\sqrt{3} }[/tex]

d. tan∠BCK = 1

e. The coordinates of the point g is (4, 4·√3)

Step-by-step explanation:

a. The trigonometric ratio for tan is given as follows;

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}[/tex]

Therefore, we have;

[tex]tan\angle FKG = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = tan(60^{\circ}) = \dfrac{sin(60^{\circ})}{cos(60^{\circ}) } = \dfrac{\dfrac{\sqrt{3} }{2} }{\dfrac{1}{2} } = \sqrt{3}[/tex]

b.

[tex]tan\angle BKG = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = tan(45^{\circ}) = \dfrac{sin(45^{\circ})}{cos(45^{\circ}) } = \dfrac{\dfrac{1 }{\sqrt{2} } }{\dfrac{1}{\sqrt{2} } } = 1[/tex]

c.

[tex]tan\angle KDF = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = tan(30^{\circ}) = \dfrac{sin(30^{\circ})}{cos(30^{\circ}) } = \dfrac{\dfrac{1 }{2 } }{\dfrac{\sqrt{3} }{2 } } = \dfrac{1}{\sqrt{3} }[/tex]

d. In right triangle, ΔBKC, ∠BCK = ∠BKC = 45°

∴ tan(∠BCK) = tan(45°) = 1

e. The x-coordinate of the point g is 4

The y-coordinate of the point g is 4 × tan(60°) = 4·√3

The coordinates of the point g is (4, 4·√3).

Identify the angle relationship:
Corresponding
Alternate Exterior
Alternate Interior
Consecutive Interior

Answers

Answer:

I believe the answer is alternate interior :^))

I think it might be Corresponding

Nov 09, 17:58:28 AM
Noah went shopping for a new video game because of a sale. The price on the tag was
$32, but Noah paid $22.40 before tax. Find the percent discount.

Answers

The percent discount is 30%.
If you multiply $32 by .30, you will get $9.60. That is the amount of the discount. If you subtract $9.60 from $32, you will get $22.40 which is what he paid before tax. Therefore the percent discount is 30%.

(07.01)
What is the value of y in the equation y-7 = 21? (4 points)

Answers

Answer:

y=28

Step-by-step explanation:

Hope this helps

Answer:

y=28

Step-by-step explanation:

y-7+21

+7  +7

0     28

so y=28

A grocery store sells different types of Trail Mix, as shown in the table below.

Answers

Answer: A: trail mix A is the best buy

Step-by-step explanation:i did the quiz

Solve for z.
z+5=19
z=​

Answers

Answer:

14.

Step-by-step explanation:

you would do 19-5=14.

Answer:

remember to bring all the numbers to one side

So, we get:

z=19-5 (we need the opposite operation)

Step-by-step explanation:

[tex]z=14[/tex]


The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter
of the TV is 150 inches, find the area of the TV.

Answers

Answer:

150*5=?

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
For the right triangle shown, the lengths of two sides are glven. Find the third side. Leave your answer in simplifled,
radical form.
B
с
a
b
a=4, b= 4, C=
2

Answers

Answer:

Hope this helps, happy learning!!!

Greg practiced playing his clarinet for 12 minutes. He has practiced 40% of the amount of time he needs to practice today. How many more minutes does Greg need to practice
today?
Show your work
Answer:
minutes

Answers

Answer:

18 minutes. 20 percent is 6 mins so 60 percent left 6 times 3 is 18

Given m ∠ABC = 114, what is m ∠BAD?


Choose the correct answer below.
A. 72
B. 54
C. 60
D. 63

Answers

Answer:

D: 63

Step-by-step explanation:

The value of ∠BAD would be as follows:

D). 63

Find the angle

Given that,

The measure of ∠ABC [tex]= 114[/tex]

We know that,

BD bisects the ║gm ABCD

So,

∠ABD [tex]= 57[/tex]

Since opposite angles of a ║gm give equal

∠ABC = ∠ADC

So,

∠ ADB [tex]= 57[/tex]

Since the sum of all the angles of a ║gm is 360.

∠BAD can be found using this.

∠BAD [tex]= 63[/tex]

Thus, option D is the correct answer.

Learn more about "Angle" here:

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Neil buys an item from the school canteen for $$$3.80. If he pays for it with a five dollar note, how much change will he get back?

Answers

1 dollar and 20 cents

Answer:

$1.20 or 1 dollar and 20 cents

Step-by-step explanation:

So you basically subtract decimals

5.00-3.80=1.20$1.20

I'm really bad at explaining soooo

A Canadian goose migrated at a steady rate of 3 miles every 4 minutes.
a. Fill in the table to describe the relationship.
Time (min)
4
8



20
Distance (mi)


9
12

Answers

Answer:

4 8 12 16 20

3 6 9 12 15

the data given increases every 4 minutes so minutes will increase by 4 in every column and they increase by three so in distance they will increase by three in every column

Find the slope of the line y
7

Answers

Answer:

Its just a slope and its probably 7

Step-by-step explanation:

Whats 0.5 times 0.5????????

Answers

Answer:

0.25

Step-by-step explanation:

bc i have big brain

8+3=8(y+1) worked out

Answers

8+3=11

11=8(y+1)

11-8=3

3=y+1

3-1=2

2=y

Step-by-step explanation:

Angelica needs 1.25 pounds of beef to make 4 person tacos. How many pounds of beef will she need to feed 10 people?

Answers

Answer:

3.125 pounds of beef

Step-by-step explanation:

Set up a proportion where x is the number of pounds of beef needed to feed 10 people:

[tex]\frac{1.25}{4}[/tex] = [tex]\frac{x}{10}[/tex]

Cross multiply and solve for x:

12.5 = 4x

3.125 = x

So, to feed 10 people, she will need 3.125 pounds of beef

Answer: 3.125 pounds

Step-by-step explanation:

Skills used:

Creating equations with one variableSolving equations with one variableSolving one-step equationsRatios

Steps:

Create an equation--> x will be how many pounds of beef to feed one person: 4x=1.25Solve this equation--> divide by 4: x=0.3125Make a ratio--> 1 person : 0.3125 pounds of beefMultiply it by 10--> 10 people: 3.125 pounds of beef
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