Mathematics College

I'm supposed to write out an algebraic equation, and then solve the equation. If you can help me, with work shown, you'll get voted Brainliest.

Find three consecutive even integers such that four times
the first minus the third is six more than twice the second.​

Answers

Answer 1

Answer:

simple just follow me and mark it brainliest

Step-by-step explanation:

LET THE THREE CONSECUTIVE EVEN INTEGERS BE

(x+2) ,(x+4) ,(x+6)

then

according to the question

4(x+2) – (x+6) = 2(x+4) + 6

4x + 8 – x – 6= 2x + 8+6

3x +2 = 2x + 14

3x – 2x= 14 –2

x= 12

the numbers are

14

16

18

Answer 2

Answer:

The three numbers are 14, 16, 18.

Step-by-step explanation:

Consecutive even integers differ by 2.

You can let the smallest of the three numbers equal x. Then the other two numbers are x + 2 and x + 4.

Now use x, x + 2,and x + 4 to represent the 3 numbers and follow the directions to write an equation. The equation will have only one variable, x, so you can solve for x.

"four times the first" ----->   4x

"minus the third"   ------->    -(x + 4)

"is"  ----->     =

"six more than twice the second"   ------>    2(x + 2) + 6

Put all the pieces in boldface together to arrive at your equation.

4x - (x + 4) = 2(x + 2) + 6

Simplify the parentheses on both sides by distributing.

4x - x - 4 = 2x + 4 + 6

Combine like terms on both sides.

3x - 4 = 2x + 10

Subtract 2x from both sides.

x - 4 = 10

Add 4 to both sides.

x = 14

The smallest number is 14.

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

Answer: The three numbers are 14, 16, 18.

Related Questions

Need help for geo..will mark brainlist

Answers

1st pair of triangles :

Postulate/theorem = SAS postulate

Explanation :

Given :

One side in both triangles are congruent. Another side in both triangles is also congruent. The angles between these two sides are also equal.

Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.

2nd pair of triangles :

Postulate/theorem = ASA postulate

Explanation :

Given :

In triangle KDS and triangle KWS :

Angle K = Angle KAngle S = Angle SSide KS = Side KS

Since 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.

3rd pair of triangles :

Postulate/theorem = AAS theorem

Explanation :

Given :

In triangle ACB and triangle BED :

Angle A = Angle BAngle B = Angle DSide CB = Side ED

Since two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.

A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.

Answers

Answer:)

Step-by-step explanation:

Please help will give brainleist

Answers

Answer:

[tex]7\frac{1}{2}[/tex] square feet

Step-by-step explanation:

2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet

how many triangles can be constucted measuring 60°, 60°, and 40°​

Answers

Answer:

None, the sum of those angles does not equal 180 degrees

Answer:

none of the traingle can be constructed

The answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°

60°+60°+40°=160°

The sum of three angles is 160°

so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.

Step-by-step explanation:

Hope it is helpful....

if £1 = 0.864 Lt, work out the amount, to the nearest penny , that 1 Lt is worth

Answers

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

list the factors of 9​

Answers

Answer:

Step-by-step explanation:

the factors of 9 are 1,3,9

Answer:

1, 3, 9

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  Please help this is due today please i really need help it’s due in 5 hours!!!

Given parallelogram FGHI determine the missing information

Don’t answer with one answer, blank or ridiculous answer please this is serious

Answers

Answer:

y = 3 cm and x = 2.5 cm

Step-by-step explanation:

As we can see it is a parallelogram so

y = 3 cm (being opposite sides of parallelogram)

Now while calculating the diagonal we can use the Pythagoras relation. i.e

perpendicular (p) = 4 cm (IH)

Base (b) = 3 cm (FI)

Hypotenuse (h) = FH = ?

We know by using Pythagoras theorem

h = √ p² + b²

= √ 4² + 3²

= √ 25

= 5 cm

Here we got FH = 5 cm

so the value of x will be 2.5 cm as the diagonal bisects.

Hope it will help :)

the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age​

Answers

Answer:

A+S=22

A=S/2+4

Multiply second equation by 2 and rearrange.

2A-S=8

Add equations 1 and 3.

3A=30

A=10

Substitute for A in either of the first 2 equations to get

S=12

Step-by-step explanation:

Find the answer of m< VZY

Answers

Answer:

41

Step-by-step explanation:

charlotte has 3 yards of fabric she needs to cut the fabric into 7 equal peices. how many yards long should each peice of fabric be?

Answers

Answer:21

Step-by-step explanation:

What is the measure of XYZ?

Answers

Answer:

a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.

Answer:

34 degrees

Step-by-step explanation:

Barry entered a singing competition. Three of 15 judges voted for him to go on to the semifinals.

What percent of the judges voted for him?

Answers

20% of the judges voted for him

3 divided by 15 = 0.20 multiply that times 100 to convert to percentage

20% because only 3 out of 15 voted for him if you take a candy bar and cut it out into 15 pieces and take away 3 you’re taking away 20% of the candy bar. And you’re left with 80% so that means 80% didn’t vote for him to go to the semifinals only 20% did.

a biologist analyzes 15 bacteria samples each day a. complete the table

Answers

Answer:

Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15

Step-by-step explanation:

The complete table:

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bacteria samples analyze each day = 15

The equation for the number of bacteria analyzes after x days.

B = 15x

Now,

x = 1, B = 15

x = 2, B = 30

x = 3, B = 45

x = 4, B = 60

x = 5, B = 75

Thus,

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

How can we get system B for system A?

And

Are the systems equivalent?​

Answers

Answer: Subtract the equations in system A.

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

Explanation:

The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.

There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.

For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y

So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.

Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.

Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.

a line passes through the point (-8,5) and has a slope of 5/4 write an equation in slope intercept form

Answers

5=5/4(8)+b

5=5/4(8)+b

5=10+b

b=-5

Now we have the slope AND y-intercept!

y=(5/4)x-5

-x²-2x+7=-17 help lol

Answers

you can just use photomath

IF KOBE HAD 8 DUNKS AND LEBRON HAD 10, HOW MANY MORE DUNKS DID LEBRON HAVE THEN KOBE?

Answers

Answer:

2

Step-by-step explanation:

10-8

Answer:

Step-by-step explanation:

2

write a function of least degree to model this graph with the final answer in factored form.

Answers

Answer 1 maybe

Step-by-step explanati

can someone help me ?

Answers

Answer:

What question are you referring to? a question references question 5 and 6 which aren't displayed.

Find the slope of the line.
Slope = type your answer...

Answers

Answer:

slope= (-1)

...................

whoever answers it gets 5 staars

Answers

The line crosses the y axis below the origin

Answer:

the line crosses the y-axis below the origin

Step-by-step explanation:

Pls help this is my last points

Answers

Answer:

520 - 10x = 380

Step-by-step explanation:

x= 14

Answer:

520-10x=380

x = 14

Step-by-step explanation:

A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?

Answers

Answer:

the rug should be 10 feet by 16 feet

this makes the area 160 foot squared

Step-by-step explanation:

there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.

160

top correct lolssssss

Can you help me with the income statement?

Answers

True geography thagahahahaa

i to the power of 121 is equal to what

Answers

Answer:

1

Step-by-step explanation:

Hope this helps and have a great day!!!!!

What is the value of the expression 4 × (2a − 1) if a = 3?
A16


B20


C23


D25

Answers

B I’m going to guess

Hi can anyone help me? :)

Answers

Answer:

[tex]d(n) = - ( {7}^{n - 1} )[/tex]

how do you solve 3x-7 over 3​

Answers

Answer: x - 7/3

Step-by-step explanation:

I think thats the farthest you can go with this problem

Answer:

Let's simplify step-by-step.

3x−7^3

=3x−343

Step-by-step explanation:

Preston drove 115 miles and used up 6
gallons of gas. How many milea can he
drive with 14 gallons of gas?



Hurrry please

Answers

Answer:

269gallons

Step-by-step explanation:

115/6=19.16

19.16*14=268.33 or round up to 269

Andrew had a balance of $263.72 in his checking account. He had deposits to his account of $24.85, $131.63, and $58.29. He had withdrawals to his account of $74.25 and $25.00. What is the new balance in Andrew’s account? WHOEVER ANSWERS FIRST GETS BRAINLIESt

Answers

Answer:

$379.24

Step-by-step explanation:

263.72+24.85+131.63+58.29=478.49

478.49-74.25-25=379.24

Hope this helped :)

Plz mark as Brainliest :)

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