The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

Which equation can be used to find the first integer?




3x + 126 = 2x + 6

3x + 6 = 126

2x + 6 = 126

3x = 2x + 6

Answers

Answer 1

Answer:

3x + 6 = 126

Step-by-step explanation:

If you add all of them

x + x+2 + x+4 = 126

simplify the left-side

3x+6=126

subtract 6 from both sides and you get

3x = 120

divide both sides by 3

x=4


Related Questions

A square has a diagonal that measures 18 inches. To the nearest tenth, what is the length of one side
of the square?

Answers

Answer:

18/sqrt(2)

Step-by-step explanation:

Divide the square into two congruent right triangles:

a and b are the sides of the triangle

since we know that a=b

then the right triangle is isosceles

meaning that the theorem of the 45-45-90 triangle is applicable

so then we can say that 18/sqrt(2) = a = b

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x? A graph shows the number of car payments paid on the horizontal axis and amount owed on the vertical axis. The line goes straight up from the x-axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts in the middle on the vertical axis and increases as it goes along the horizontal axis.

Answers

Answer:

its fliping b

Step-by-step explanation:

too on edge

A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of 1 cm to 500 m. She ran a trail that was 40 cm long on her old map. How long is this trail on her new map?

PLEASE ANSWER

Answers

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

Answer:

The actual distance will be 40 * 100 = 4,000 m

Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm

Make a Math expression for each of these
$50 per day and $0.25 a mile
$40 per day and $0.30 a mile

Answers

50p + 0.25a
50p+ 0.25a

Evaluate f(x) = -3x+3 for x=-2

Answers

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

quadratic equation
4x2 + 6x = 0

Answers

Answer:

x = -4 / 3

Step-by-step explanation:

step 1. simplify 4x2 to 8

8+6x=0

step 2. subtract 8 from both sides.

6x = -8

step 3. divide in both sides by 6.

x = - 8 / 6

step 4. simplify 8/6 to 4/3.

x = -4 / 3

You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?

Answers

Answer:

25/102

Step-by-step explanation:

P(red) = 26/52 = 1/2

P(red after red) = 25/51

1/2 * 25/51 = 25/102

R={(x,y)} y=2x:x€{1,2,3}​

Answers

Answer:

Question is wrong dear

Anyone have this answer? (Do not mind that there is one selected already lol.)

Answers

Answer:

6 Buckets

Step-by-step explanation:

30-12 =18

18 divided by 3 = 6

Answer:

6

Step-by-step explanation:

30-12=18

18/3=6

You are correct! It's 6 buckets :)

what's 9 + 10 ??? please help

Answers

Answer:

19

Step-by-step explanation:

Answer:19

Step-by-step explanation:

PLEASE HELP ASAP BRAINLIEST

Answers

Area is Length x width.

Area = 4x * 5

Area = 20x

Replace A in the inequality:

Now you have 100 <= 20x <= 1,000

Now solve for x by dividing all 3 by 20:

5 <= x <=50

Check to see if they are viable:

4(5) x 5 = 20 x 5 = 100

4(50) x 5 = 200 x 5 = 1,000

Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.

what is 1/4 as a negative exponent ​

Answers

Answer:

1/4 = 1/2² = 2^-2

Step-by-step explanation:

1/4 can be expressed as a negative exponent is 4⁻¹

What is the negative exponent rule?

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³

Given here, 1/4 thus it can be expressed as 4⁻¹

Hence, 1/4 can be expressed as a negative exponent is 4⁻¹

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1/6+3/4 what is the answer

Answers

answer would be 11/12!

Answer:

11/12

Step-by-step explanation:

X2 (6x+ 1) (3x-9) = 0

Answers

Answer:

x = 0, [tex]-\frac{1}{6}[/tex], 3

Step-by-step explanation:

Hey there!

Step 1: Regroup terms.

2x(6x + 1) (3x - 9) = 0

Step 2: Solve for x.

x = 0, [tex]-\frac{1}{6}[/tex], 3

~I hope I helped you! :)~

(LOTS OF POINTS)
SOLVE THIS IMAGINARY NUMBER PROBLEM AND *SHOW WORK* PLEASE!

Answers

Answer:

The answer is 8.

Step-by-step explanation:

the answer is 8 because it is

What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?

Answers

Answer:

y = − 6 x + 7

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

which is bigger 7/9 or 5/6​

Answers

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

What is a fraction?

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

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Will give brainliest whoever answers asap plz it’s.active please
Hurrreyyyy

Answers

1.A
2.B
i think not for sure
1. Factor the first equation.

7x³−11x²−14x+16

7x³−14x²+3x²−6x−8x+16

7x²(x-2)+3x(x-2)-8(x-2)

(x-2)(7x²+3x-8)

2. So this is as far as we have to go because as we can see x-2 is a factor of the equation.

3. Factor the second equation.

7x⁴+22x³+2x²+11

4. As we can see this equation isn’t factorable, so which means that this equation can’t have an exact root so which means x+3 is not a factor for the second equation.

Final answer:
1. B
2.A

At the San Diego zoo you can either pay $22.75 for the entrance fee or $71 for the yearly pass which entitles you to unlimited admission. At most how many times can you enter the zoo for the $22.75 entrance fee before spending more than the cost of a yearly membership? Write and solve an inequality

Answers

Answer:

3

Step-by-step explanation:

3x22.75=68.25 or less than the yearly pass

Which table has a constant of proportionality between y and x of 1/5?

Answers

Answer:

5

Step-by-step explanation:

I think The answer is 5 :)

3y + 6 - y
Please help me

Answers

Answer:

2y+6

Step-by-step explanation:

3y+6-y

2y+6

Answer:

2y+6

Step-by-step explanation:

If you are simplifying, combine like terms

3y-y=2y

Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.

Answers

Answer:

The equation –3y = 15 – 4x rewritten in slope-intercept form is  

✔ y = (4/3)x – 5

.

The y-intercept is  

✔ –5

and the slope of the line is  

✔ 4/3

.

Line  

✔ B

is the graph of the line –3y = 15 – 4x.

Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]

Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]

y-intercept is -5.

Slope of the line is [tex]\frac{4}{3}[/tex].

What is linear equation?

" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."

Formula used

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Slope intercept form y=mx +c

c = y-intercept

m = slope

According to the question,

Given linear equation,

[tex]-3y = 15-4x[/tex]

Convert the given linear equation in slope intercept form we get,

[tex]y = \frac{4}{3}x-5[/tex]

Compare it with the formula we get,

Slope 'm' = [tex]\frac{4}{3}[/tex]

y-intercept = -5

From the diagram we can have coordinates of line B

[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]

Substitute the value to get slope of line B,

Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]

                            [tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]

From the diagram y-intercept for line B is -5.

Equation of line B

[tex]y = \frac{4}{3}x-5[/tex]

Hence,  slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].

Learn more about linear equation here

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Booster club sell tickets to Saturday's basketball tournament admission with student ID was two dollars per person regular admission is five dollars the booster club sold 120 student tickets and 50 regular tickets how much money did the booster club click show all the work necessary to justify your answer

Answers

Answer:

170 Tickets were sold and 490$ was made

Step-by-step explanation:

to find how many tickets were sold add 120 + 50 to get 170

For how much they made Multiply 120 X 2 to get 240

Then, Multiply 5 x 50 to get 250

Add 240 + 250 and your answer will be 490$

Which expression is equivalent to the expression shown?
4² x 4⁴

Answers

Answer:

Answer: 4⁵ x 10⁴

Step-by-step explanation:

 

= 10⁴ * 4¹⁰⁻⁵

= 10⁴ * 4⁵

= 4⁵ x 10⁴

Answer:

4^6

Step-by-step explanation:

U add the exponents and keep the base the same

A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A

Answers

Answer:

[tex]\angle A=17\textdegree[/tex]

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

[tex]\angle A+\angle B=90[/tex]

Since we know their equations, substitute:

[tex](x+8)+(8x+1)=90[/tex]

Solve for x. Combine like terms on the left:

[tex]9x+9=90[/tex]

Subtract 9 from both sides:

[tex]9x=81[/tex]

Divide both sides by 9:

[tex]x=9[/tex]

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

[tex]\angle A=x+8[/tex]

Substitute 9 for x:

[tex]\angle A=9+8[/tex]

Add:

[tex]\angle A=17\textdegree[/tex]

So, the measure of A is 17°.

The planet Earth is approximately 149.6 million kilometers from the sun. The planet Jupiter is about 5.2 times farther away from the sun than Earth is. What is the approximate distance between Jupiter and the sun?

15.472 million kilometers
77.792 million kilometers
154.72 million kilometers
777.92 million kilometers

Answers

Answer:

the answer is 777.92 million kilometers

Step-by-step explanation:

The distance between Jupiter and Sun is 777.92 million km

What is distance?

Distance is defined to be the magnitude or size of displacement between two positions.

Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,

Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km

Hence, the distance between Jupiter and Sun is 777.92 million km

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Which expression is equivalent to 7(3x+5) *
A: 10x+12
B: 3x+35
C: 21x+5
D: 21x+35

Answers

D: 21x+35


Please make me the Brainliest!!

Why does the government charge high taxes on gasoline?

Answers

Answer:

Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.

Step-by-step explanation:

Mark me brainliest

Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.

i need help with
If x = 5, find the value of LaTeX: 16-x16 − x

Answers

Answer:

-69

Step-by-step explanation:

16-(5)(16)-(5)

16x5=80

16-80-5

16-80=-64

-64-5=-69

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

6(2(5)-4)

6(10-4)

6(6)

=36

You plug in the variable value, then solve :)

Answer:

The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:

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