Given three consecutive even integers whose sum is 54, find the largest of the three integers.

Answers

Answer 1

Answer:

The largest of the three numbers is 20

Step-by-step explanation:

16, 18, 20

(n) + n+2 + n+4

Note:

We only took even numbers

Answer 2

Answer:

20

Step-by-step explanation:

Let the least integer = x. The three consecutive even integers can be denoted as:

x , x + 2 , x + 4

Set the equation:

(x) + (x + 2) + (x + 4) = 54

Simplify. Combine like terms:

(x + x + x) + (2 + 4) = 54

(3x) + (6) = 54

3x + 6 = 54

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 6 from both sides of the equation:

3x + 6 (-6) = 54 (-6)

3x = 54 - 6

3x = 48

Next, divide 3 from both sides of the equation:

(3x)/3 = (48)/3

x = 48/3

x = 16

~

Next, find the largest of the three integers, which was denoted as x + 4:

x + 4

(16) + 4 = 20

20 is the largest integer.

Check:

x + (x + 2) + (x + 4) = 54

16 + (16 + 2) + (16 + 4) = 54

16 + 18 + 20 = 54

16 + 38 = 54

54 = 54 (True).

~


Related Questions

Help me in this one pls I give 15 pts

Answers

Answer:

I think option b i.e 7 is right but not sure

pls helppppppp it’s due in 20 minutes

Answers

Answer:

hope this helps you

havea great dayy

Answer:

39

Step-by-step explanation:

3(6m-17)

3(30-17)

3(13)

39

244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?

Answers

Answer:

Totally number of coaches needed is 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The product of 2 and a number x is 34.

What is the value of x?


x=54

x=38

x=114

x=32

Pls help me with this guyssss plssss ( I will give brainliest too!) :)

Answers

Answer:

x = 17

Step-by-step explanation:

The product of 2 and a number x is 34 =

2x = 34

x = 34/2

x = 17

Answer:

x=17

Step-by-step explanation:

Product means multiply  is means equals

2x = 34

Divide each side by2

2x/2 = 34/2

x = 17

please help me!!!!!!

Answers

Answer:

5 I think

Step-by-step explanation:

Since -2 is less than -1, then we'll choose the first equation, f(x) = + 1

f(-2) = (-2)² + 1

= 5

help me please asap it's important​

Answers

Answer:

6250cubic meters

Step-by-step explanation:

To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base. A=625; H=30 (given)

V= 625(30/3) = 6250

I need help solving these two questions
For question 4 it also isn't D
For question 7 it also isn't B

Answers

Answer: i could be A and the next one is c

Step-by-step explanation:

Answer:

First question 8

Second question 10

Step-by-step explanation:

First question

The general formula for both secants is the entire length * the external segment.

Using an example, it is 3*(13 + 3) = 3*16

The other secant will be 4*(x + 4)

These two are equal

4(x + 4) = 3 * 16

4(x + 4) = 48                Divide by 4

x + 4 = 12                    Subtract 4 from both sides

x = 8

Second Question

8(x + 8) = 6(6 + 18)

8x + 64 = 6(24)

8x + 64 = 144            Subtract 64

8x = 80                     Divide by 8

x = 80 /8

x = 10

3 pizzas cost $22.50,how much does 1 pizza cost?

Answers

Answer:

7.50

Step-by-step explanation:

Take the total cost and divide by the number of pizzas

22.50/ 3 pizzas

7.50 per pizza

[tex] \rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{Cost \: \: of \: \: 3 \: \: pizzas }{Total \: \: pizzas }[/tex]

[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{22.50 }{3 } \\ [/tex]

[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \cancel\frac{22.50 }{3 } \: \: ^{7.5} \\ [/tex]

[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \: 7.5 [/tex]

Hence, the cost of 1 pizza is $7.5

cp =Rs 720 and SP= Rs 810​

Answers

Answer:

Profit=Rs90

Step-by-step explanation:We know that,Profit=Sp-Cp =Rs 810-Rs720 =Rs 90

                                                                     

Answer:

solution:

Cp=rs 720

SP=rs 810

now,

profit=sp-cp

= rs (810-720)

profit is rs 90

Find the first three terms of the sequence given by the following.
a
n = 25-3(n − 1), n= 1, 2, 3, ...

A. 28, 25, 22
B. 25, 22, 19
C. 25, 28, 31
D. 28, 31, 34

Answers

the answer is

A. 28, 25, 22

6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.

Answers

Answer:

should be 15.

Step-by-step explanation:

Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form​

Answers

Answer:

1.2 = 12/10 = 6/5

2.25 = 225/100 = 9/4

3.5 = 35/10 = 7/2

4.06 = 406/100 = 203/50

f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3

Answers

Answer:

B

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9[/tex]

And we want to find:

[tex]f(x) + g(x)[/tex]

Substitute:

[tex]= (8 - 4x - x^3) + (x^2 + 7x - 9)[/tex]

Rewrite:

[tex]= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)[/tex]

Combine like terms:

[tex]= -x^3 + x^2 +3x -1[/tex]

In conclusion:

[tex]f(x) + g(x) = -x^3 + x^2 +3x -1[/tex]

Hence, our answer is B.

Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.

Answers

40c+ 110m =500
c + m =9
c is variable for commercial; m is variable for movies

Answer 4. Please worth 100 points Answer ASAP!

Answers

Answer:

18/14 or 1 2/7

Step-by-step explanation:

13/14 - 2/14(1/7) = 11/14

11/14 + 7/14(1/2) = 18/14

[tex]\\ \sf\longmapsto \dfrac{13}{14}-\dfrac{1}{7}+\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{13-2+7}{14}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11+7}{14}[/tex]

[tex]\\ \sf\longmapsto \dfrac{18}{14}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{7}[/tex]

누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]

Answers

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

Select the correct statement which describes the multiplicative relationship between two equivalent ratios.

A The ratios
5
16
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
5
16
.
B The ratios
16
5
and
10
32
are equivalent. Each term in
10
32
is four times the corresponding term in
16
5
.
C The ratios
16
5
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
16
5
.
D The ratios
16
5
and
32
15
are equivalent. Each term in
32
15
is four times the corresponding term in
16
5
.

Answers

Answer:

A

Step-by-step explanation:

Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2

Answers

ans. 46.5m2......................

Ummm i know the answer isn't 4 pls help

Answers

Answer:

11

4m-28 = 16

4m = 44

m=11

Step-by-step explanation:

Bags of limes = 4

Total limes in each bag = m

Total limes = 4m

ATQ

4m - 7(4)= 16

4m = 16+28

4m = 44

m = 44/4

m = 11

Value of m = 11

Must click thanks and mark brainliest

1. Define sets

2. What are the types of sets?

3. What are the operations used on sets?​

Answers

Answer:

Set is a collection of specified object.The types of set are Finite Set. A set which contains a definite number of elements is called a finite set. ...

Infinite Set. A set which contains infinite number of elements is called an infinite set. ...

Subset. ...

Proper Subset. ...

Universal Set. ...

Empty Set or Null Set. ...

Singleton Set or Unit Set. ...

Equal Set.

The operation used on sets are. 1 Intersection 2.Union 3.Difference 4.Compelement

I"M TIMED!!! PLSSSSSSSSSS HELPPPPPPPPPPP
Drag and drop the numbers and symbols into the boxes to form an expression that represents this phrase:

8 more than quotient of 12 and 6
Which Order Do I Put It In?

Answers

12/6+8. Twelve divided by 6 then add 8

the expression is "2 + 8." To find the quotient of 12 and 6, divide 12 by 6. The result is 2.

Step 1: Add 8 to the quotient.

Now, add 8 to the quotient found. The expression is "quotient + 8."

Step 2: Write the final expression.

The final expression that represents "8 more than quotient of 12 and 6" is "quotient + 8."

So, the expression is "2 + 8."

To know more about expression:

https://brainly.com/question/12884615

#SPJ3

can you help me? im so confused

Answers

Answer:

(AB) is longer than (AC)

Step-by-step explanation:

1. Approach

Use the distance formula to find the length of the segments (AC) and (AB); substitute their endpoints into the distance formula and simplifying to solve for the length. After finding the length of each segment, compare their lengths to find out which of the statements is true. The distance formula is as follows:

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

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the endpoints of the segment.

2. Find the length of (AC)

Coordinates of point (A): [tex](-1,1)[/tex]

Coordinates of point (C): [tex](-4,4)[/tex]

Substitute these points into the distance formula,

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

[tex]D=\sqrt{((-1)-(-4))^2+((1)-(4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(-4))^2+((1)-(4))^2}[/tex]

[tex]D=\sqrt{(-1+4)^2+(1-4)^2}[/tex]

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

[tex]D=\sqrt{9+9}[/tex]

[tex]D=\sqrt{18}[/tex]

3. Find the length of (AB)

Coordinates of point (A): [tex](-1,1)[/tex]

Coordinates of point (B): [tex](0,-4)[/tex]

Substitute these points into the distance formula,

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

[tex]D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}[/tex]

[tex]D=\sqrt{(-1-0)^2+(1+4)^2}[/tex]

[tex]D=\sqrt{(-1)^2+(5)^2}[/tex]

[tex]D=\sqrt{1+25}[/tex]

[tex]D=\sqrt{26}[/tex]

4. Find the correct statement

(AB) is longer than (AC)

This statement is true for the following reason:

[tex]\sqrt{18}>\sqrt{26}[/tex]

Please tell me whats the number?

Answers

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

[tex]\frac{5}{6}[/tex]

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)

What is the circumference of the following circle?
ea
3 cm
a
t
D
cm
Show Calculator

Answers

your question is incomplete dear check it once

ANSWER QUICK !!
Yuri is participating in a tund-raiser at school. She will receive donations from 2 people. A cousin will donate $0.40 for every 1/8 mile that Yuri walks.
A friend will give Yuri a one-time donation of $30
What is the minimum number of miles Yuri needs to walk to raise at least $507 Enter the answer in the box,

Answers

507 - 30 =  477

477 / 0.4 = 1192.5

1192.4 / 8 = 149.0625 miles or 150 miles

i don't know if this is right cause the answer seems so absurd

Is 3.824 a rational number?

Answers

Answer:

NopE, can’t be made into a fraction

Answer:

Yes

Step-by-step explanation:

A number is rational if it can be expressed in the form p/q, where q is not zero.

3.824 can be expressed as 3824/1000.

So, it satisfies the criteria of a rational number.

HELP ASAP ILL GIVE BRAINLIST

The probability of a red candy being selected from a bowl is 0.9, and the probability of a pink frosted animal cookie being taken out of a different bowl is 0.4. What is the probability of getting both a red candy and a pink cookie?

Answers

Answer:

0.36

Step-by-step explanation:

(10x²+19x+6) ÷(5x+2)​

Answers

Answer:

2x + 3

Step-by-step explanation:

(10x² + 19x + 6) ÷ (5x + 2)​ =

= (10x² + 15x + 4x + 6) ÷ (5x + 2)​

= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)​

= [(5x + 2)(2x + 3)] ÷ (5x + 2)​

= 2x + 3

Answer:

2x+3 is your answer

Can someone help me please !

Answers

Answer:

[tex] \sqrt{ - 256} = \sqrt{256} \times \sqrt{ - 1} = 16i[/tex]

I hope I helped you^_^

Please help me out here real quick!! If do you I'll mark you as BRAINLIEST ​

Answers

Answer:

hope this helps

Step-by-step explanation:

hope this helps

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