REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even integers that have a sum of 54. The three consecutive even integers, in order from least to greatest, are , , and . Explain your reasoning. Expressions for the next two consecutive even integers after $2n$ are and . Solving the equation $=54$ , and substituting the solution into the expressions for the three integers results in the three integers given above.

Answers

Answer 1

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20


Related Questions

please help me with this asap thank you

Answers

Answer:

37.7

Step-by-step explanation:

C= 2×3.14×6

C= 37.7

Let me know if it's wrong!

A restaurant manager states the number of customers that enter the restaurant is equal to 4

times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also

states that the number of customers that enter their restaurant is equal to 1 times the number of

people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog

from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round

your answer to the nearest whole number.

Answers

Answer:

9

Step-by-step explanation:

No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.

The number of customers that enter their restaurant is equal to 1 times the number of  people that buy a hotdog from the hotdog cart plus 38.

The equation that shows the given condition,

4x + 11 = 1x + 38

x is the no of people

Taking the like terms,

4x-1x=38-11

3x=27

x = 9

So, there are 9 people buying a hotdog  from the hotdog cart.

What is the value of x?
70°
12x + 14

Answers

Answer:

[tex] \frac{14 }{3} [/tex]

Step-by-step explanation:

12x=70-14=56

x=

[tex] \frac{56}{12} = \frac{14}{3} [/tex]

Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?

Answers

Answer:

10.59

Step-by-step explanation:

3.53×3

4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.​

Answers

Answer: D) To make sure the value does not make the denominator 0.​

We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.

2 step equations: solve the equation below:
m/5+9=11

Answers

Answer:

m=10

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    m/5+9-(11)=0

                 m

Simplify   —

                 5

  m          

 (— +  9) -  11  = 0  

   5

Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

           9        9 • 5

   9 =  —  =  —————

            1           5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m + 9 • 5                       m + 45

—————————  =  ——————

    5                                       5  

     (m + 45)    

 ———————— -  11  = 0  

          5

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

             11          11 • 5

   11 =  ——  =  ——————

             1               5  

Adding up the two equivalent fractions

    (m+45) - (11 • 5)                                  m - 10

—————————————————  =  ——————

            5                                                          5  

    m - 10

 ——————  = 0  

        5

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

   m-10

 ———— • 5 = 0 • 5

      5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  m-10  = 0

Solve  :    m-10 = 0  

Add  10  to both sides of the equation :  

                     m = 10

m = 10

Plz help me I’ll give brainliest

Answers

Answer:

5/1

Step-by-step explanation:

Write any two numbers between 1.5 and 1.6​

Answers

1.561 and 1.562

These are the answer

I NEED HELP!! I WILL GIVE BRAINLIEST PLUS 15 POINTS

Answers

What the top Awnser was it was right so yea

Answer:

the first one

Step-by-step explanation:

A Rope 25 feet long is cut into 3 pieces. The first piece is 2x feet long, the second piece is 5x feet long, and the third piece is 4 feet long ??​

Answers

Answer:

'\/(-_-)\/'

Step-by-step explanation:

1x + 2 - 3 = 8


what is x?

Answers

Answer:

x= Multiplication

Step-by-step explanation:

1 x +2 -3 =8

Answer:

x = 9

Step-by-step explanation:

Hope this helps

PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)

Answers

Answer:

1,4,5

Step-by-step explanation:

Ive done it myself

Answer:

1,2,4,5

Step-by-step explanation:

The graph shows the linear parent function . Which statement best describes the function?
A. The function is negative when x<0 and also when x>0
B.the function is never negative
C.the function is negative when x>0
D. The function is negative when x<0

Answers

Using function concepts, it is found that the correct option is given by:

D. The function is negative when x<0

How the sign of a function is determined?If the graph is above the x-axis, it is positive.If the graph is below the x-axis, it is negative.

In this problem, the graph of the function is the red line, and:

For values of x < 0, the function is below the x-axis, hence it is negative.For values of x > 0, the function is above the x-axis, hence it is positive.

Thus, option D is correct.

You can learn more about functions at https://brainly.com/question/25897115

what best describes the relationship between the lines with equations y + 3x = 10 and 2y = -6x + 4?

Answers

The relationship between y + 3x = 10 and 2y = -6x is that they are parallel lines.

At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken
per pound?

Answers

Answer:

$3.75 per pound of chicken

Step-by-step explanation:

Price of 3 pounds of cheese      $ 4.50x3= $13.50  

$24.75-$13.50 = $11.25 (price of 3 pounds of chicken)

Chicken          : $11.25/ 3   =  $3.75 per  pound

$11.25 + $13.50 = $24.75

The quotient of a number and twelve is the sum of eight and the number.


Answer: n/12=8+n

Answers

Answer:

Step-by-step explanation:

12(n/12 = 8 + n)

n = 96 + 12n

-11n = 96

n = -96/11

Answer:

-96/11 or -8 8/11

Step-by-step explanation:

For this, create an equation, x/12=x+8.

Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.

Now, cross multiply to get 1*x=12(x+8).

Simplify that to x=12x+96.

Subtract 12x from both sides, and you have -11x=96.

Divide by -11, and x=-96/11.

Who was Monroe? was he one of our presidents?

Answers

Answer:

James Monroe (/mənˈroʊ/; April 28, 1758 – July 4, 1831) was an American statesman, lawyer, diplomat and Founding Father who served as the fifth president of the United States from 1817 to 1825. ... He is perhaps best known for issuing the Monroe Doctrine, a policy of opposing European colonialism in the Americas.

Step-by-step explanation:

Answer:

James Monroe was the 5th president of the United States. He was born April 28, 1758 in Westmoreland County, Virginia. He was chosen as a Virginia representative to the Congress of the Confederation in 1782. In 1808, he ran for president against Madison, but lost. He ran for president in 1816 as a Democratic-Republican and won. He was sworn into office on March 4, 1817. In 1825, Monroe left office and retired in Virginia. He died on July 4, 1831

What is the purpose of the AutoSum feature in Microsoft® Excel? A. To automatically add all numbers in all cells in a workbook B. To add a list of numbers in a spreadsheet C. To put a list of numbers in order before finding the sum D. To estimate the total of a list of numbers

Answers

Answer:

B. To add a list of numbers in a spreadsheet

Step-by-step explanation:

AutoSum feature in Microsoft Excel is used to automatically sum up a range of numbers within a horizontal row or vertical column without having to input a formula.

When a range of numbers are selected within a row or column, clicking on AutoSum will sum up the numbers in the adjacent empty cell. For example, if you wanted to add the values of cells between B1 and B10, highlight cells B1 through B10 and click the AutoSum button . The sum of B1 to B10 will be given in B11.

In Excel 2010 and later, the AutoSum feature is on the Home tab, in the Editing section.

Round 685,135 to the nearest ten thousand.

Answers

685,135>684,999 so it’s rounded up to 690,000

Answer:

690,000

Step-by-step explanation:

The 8 is the ten thousands place- 685,135

If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.

15x+10 80
I need help plzzzzzzz

Answers

Answer:

6

Step-by-step explanation:

180-80=100

100-10=90

90 divided by 15=6

explanation:

they’re supplementary angles (they add up to 180°), so we need to set up an equation by adding them to equal 180°:

15x + 10 + 80 = 180

combine like terms

15x +90 = 180

subtract 90 from move sides

15x = 90

divide both sides by 15

x= 6

Max and his brother exercise together. Max does half as many sit-ups as his brother does during a workout. If Max's brother does between 100 and 150 sit-ups, which expression describes s, the number of sit-ups that Max does?
A. 0 ≤ s ≤ 50
B. 50 ≤ s≤ 75
C. 100 ≤ s ≤ 150
D. 200 ≤ s ≤ 300

Answers

Answer:C is the correct answer,

Step-by-step explanation:

50 ≤ s≤ 75 describes the number of sit-ups that Max does so option (B) will be correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Max does "s" number of sit-ups then max brother will do "2s".

Now,

Given that,

Max's brother does between 100 and 150 sit-ups

So,

100 ≤ 2s ≤ 150

Divide by 2 into both sides

50 ≤ s ≤ 75

Hence " 50 ≤ s≤ 75 describes the number of sit-ups that Max does".

For more about inequality,

brainly.com/question/20383699

#SPJ2

What is the difference between the highest and lowest number?

3.2, 3.03, .976, 2.9, 1.5

A. 1.53


B. 0.3


C. 2.224


D. 2.054

Answers

It's supposed to be 1.7

the math club bought 16 graphing calculators for $765 The TI-70 model cost $40 and the TI-83 model costs $65 write a system of equations that could be used to determine the number of TI-70 calculator,x and the number of Ti-83 Calculators,Y,That were purchased

Answers

Answer:

Divide and add, and u will get ur answer

Step-by-step explanation:

The perimeter of a worksheet is 48 inches. The worksheet is 14 inches long. How tall is it?
inches

Answers

Answer: 10 inches

Step-by-step explanation:

1. multiply 14 by 2 to get 28.

2. Subtract 28 from 48 to get 20

3. Divide 20 by 2 to get 10

your answer is 10

Answer: 10 inches

Step-by-step explanation:

a worksheet is usually a rectangle

the formula for the perimeter of a rectangle is 2x + 2y

Lets say that x = the length and y = the height

it already gives you x = 14, so plug everything in to find y

P = 2x + 2y

48 = 2(14) + 2y

48 = 28 + 2y            plug in x = 14 and multiply

20 = 2y                    subtract 28 from both sides to get this

y = 10                       then divide both sides by 2 to get the answer

Which equation can you create with the given information? m=6, b=-2 A.) y=6x-2 B.) y=6x+2 C.) y=2x+6 D.) y=-2x-6

Answers

Step-by-step explanation:

Hey there!

Your answer is Option A.

Check all:

A. y = 6x-2

Comparing the equation with y = mx+b, we get;

m= 6

and b= -2

B. y= 6x+2

Comparing the equation with y= mx+b, we get;

m = 6

b= 2

C. y = 2x+6

Comparing the equation with y= mx+b, we get;

m= 2

b = 6

D. y= -2x-6

Comparing the equation with y= mx+b, we get;

m= -2

b= -6

Therefore, Option A is correct answer.

Hope it helps...

if a number line starts at 0, and there are 10 ticks before the 400, how much is one tick worth?!?! help!!!

Answers

Answer:

40

Step-by-step explanation:

400÷10=40

It says my answer needs to be 20 characters long so I'm writing this.

GIVING BRAINLIST PLSSSSSSSSSSSSSSSS

Which expression is equivalent to the given expression?

​4(a−3)​

​ −8a ​
​4a−12​
4a−3
−4(a+3)

Answers

Answer: 4a-12

Step-by-step explanation: Distribute 4 to a and -3

Which graph represents a function

Answers

Answer:

D

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainlies!

Answer:

D is for sure a function and just so you know A is never a function.

Step-by-step explanation:

The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.

Answers

Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?

Answers

Answer:

44

Step-by-step explanation:

75-31=44

Answer:

44 books

Step-by-step explanation:

75-31=44

simple math

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