4x + 6 = 2(3x - 7)
Solve

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

Method 1: Algebraically

1. 4x+6 = 2(3x-7) - Multiply out the 2

2. 4x+6 = 6x-14 - make x the subject of the formula first by subtracting 4 from both sides

3. 6 = 2x-14 - add 14 to both sides

4. 20 = 2x - divide by 2 to solve for x

5. 10 = x - Answer

Method 2: Graphing

Use a graphing calculator to solve for the answer

1. set one side to y1 and the other to y2

2. set the correct window

3. press 2nd then trace

4. Select option 5 to find the intersection

4x + 6 = 2(3x - 7)Solve

Related Questions

Find the area and thank

Answers

Answer:

40 meters

Step-by-step explanation:

Same premise as the other question. 12 ÷ 2 = 6 (for the double dashes) and 8 ÷ 2 = 4 (for the single dashes). Add all the numbers up:

[tex]12+8+6+6+4+4=40[/tex]

Answer:

40

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

Step-by-step explanation:

8 + 6 +4 + 6 + 4 + 12 = 40


Find the size of x and y

Answers

Answer:

x = 50°

y = 50°

Step-by-step explanation:

x = y because it is an isosceles triangle

2x + 80 = 180°

2x = 100°

x = 50°

y = 50°

Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent A C is 12, opposite B C is 5.
Find tan A.

Answers

Answer:

sine A = four-fifths

Step-by-step explanation:

You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.

tanA =5\12

As

tanA = opposite\adjacent

= BC\AC

= 5\12

What is trigonometry?

Trigonometry is a branch of maths that studies relations between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into a collection of triangles.

Learn more about trigonometry here

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In the coordinate plane shown below, which point
could have coordinates (3,-2) ?

A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

At least Im Sure lol

solve for x to the nearest ten

Answers

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

I need help with this question ( see image). Please show workings.​

Answers

Answer:

(a) AC = 12.565 m

(b) bearing of C from A is 90°

(c) BT = 9.373 m

Step-by-step explanation:

(a) extend North line down & perpendicular to AC.

Call that perpendicular intersection "P".

∠BAC = 90° - 53° = 37°

cos 37° = AP/15

0.7986 = AP/15

AP = 11.979 m

∠PNC = 180° - 161° = 19°

∠BCP = 90° - 19° = 71°

18 cm = 0.18 m   (red flag note: 18 cm looks very out of scale for the picture)

cos 71° = CP/0.18

0.3256 = CP/0.18

CP = 0.586 m

AC = 11.979 + 0.586 = 12.565 m

(b) The bearing to C from A is 90°

(c) tan 58° = 15/x

1.6003 = 15/x

x = 9.373 m

A bag contains 2 red, 8 blue, and 8 green marbles. Grant picks one at random and keeps it. Then Bailey picks a marble. What is the probability that they both select a red marble? ​

Answers

Answer:

the number of red marbles ÷

the number of marbles

[tex] \frac{2}{18} = \frac{1}{9} [/tex]

Therefore the probability that they both select a red marble is 1/9

Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0

Answers

Answer:

Center: ( -6,5) Radius: 7

Step-by-step explanation:

I hope this helps!

Answer:

radius =  9

C:(9,3)

Step-by-step explanation:

Mountain lions are capable of jumping high into the ait If mountain lion jumps 9 feet off the ground and then comes back down, its height above the ground varies according to the equation h = - 16t ^ 2 + 24t where t = 1 time in seconds and h = heig in feet The right side of this equation can be factored to get the equivalent equation h = - 8t * (2t - 3) What do the factors 2t - 3 mean in this situation?

Answers

The factors 2t - 3 represent the time it takes for the mountain lion to reach its highest point and return back to the ground.

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that,

The equation h = -16t² + 24t represents the height (h) of the mountain lion above the ground at any given time (t) in seconds.

Now, By factoring the equation as,

h = -16t² + 24t

h = -8t × (2t - 3)

Here, Factor 2t - 3 indicates the time it takes for the height (h) to reach zero, which corresponds to the mountain lion being on the ground.

So, when 2t - 3 equals zero, the height is zero, indicating that the mountain lion has returned to the ground.

Therefore, factors 2t - 3 help us determine the point in time when the mountain lion reaches its peak height and when it returns back to the ground.

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I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's age will only be $7$ times that of the younger turtle. If both turtles survive until then, how many years from today will the older turtle's age be triple that of the younger turtle?

Answers

Answer:

Let $y$ be the younger turtle's age today. Then the older turtle's age today is $11y.$ So $24$ years from now, the younger turtle's age will be $y+24$ and the older turtle's age will be $11y+24.$ However, we know the older turtle's age will be $7$ times that of the younger turtle then, which tells us that

\[11y+24=7(y+24).\]Distributing, we get $11y+24=7y+168.$ Subtracting $7y+24$ from both sides of this equation, we get $4y=144,$ so $y=36.$

This is the younger turtle's age today, but that's not what we're looking for in this problem - we're looking for the number of years from today that the older turtle's age will be triple that of the younger turtle. Let $k$ be this number of years. Since the younger turtle's age today is $y=36$ and the older turtle's age today is $11 \cdot 36=396,$ it follows that $k$ years from now my turtles' ages will be $36+k$ and $396+k$ respectively. Since we want to know when the older turtle's age will be triple that of the younger turtle, we want to know for what $k$ this equation will be true:

\[3(36+k)=396+k.\]Distributing, we get $108+3k=396+k.$ Subtracting $k+108$ from both sides of this equation, we get $2k=288.$ Therefore, $k=\boxed{144}.$

Step-by-step explanation:

A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500

How to solve Algebra Word Problems?

Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;

(x/6) - (x/5) = 50

Multiply by 30 to get;

5x - 6x = 1500

-x = 1500

x = -1500

Let the older turtle be represented x and the younger one be y.

Todays age,

Older turtle = 11y years

Younger turtle = y years

Also the equation form as;

11y + 24 = 7(y + 24)

11y + 24 = 7y + 168

11y - 7y = 168 - 24

4y = 144

y = 144/4

y = 36

Thus;

Age of older turtle today = 396 years

Age of younger turtle today = 36 years

Therefore,

3(36 + t) = 396 + t

108 + 3t = 396 + t

2t = 292

t = 292/2

t = 146 years

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Help please I’m being timed!!

Answers

Answer:d

Step-by-step explanation:

Find the sum to 9 terms of the geometric SERIES 3 + 18 + 108 ​

Answers

Answer:

129

Step-by-step explanation:

Answer:

I think the answer is 129. I'm not sure and if I'm wrong I apologize.

Step-by-step explanation:

3+18=21

21+108=129

Can someone help me please
A. 5
B.25
C.81
D. 128

Answers

Answer:

b 25

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

I think it’s the last one 2x + 7 sorry if I’m wrong!

Mario works at Bluebonnet Ice Cream parior.He earns $87.50 every 7 hours of work.Rachel works at Guadalupe Music Store and earns $39.75 for every 3 hours of work.How does the amount Mario earns per hour compare with the amount Rachel earns per hour?

Answers

Answer:

63

Step-by-step explanation:

look at the picture in need help

Answers

Answer:

$500

Explanation:

If Joe saved 60% of the cost, given that the amount he saved was $300, to find the total cost of the computer, we need to know 100% of the cost.

60% = $300

[Set the percentage to a fraction and let x be the total cost]

(60/100) x = $300

60x / 100 = $300

_____________

60 → 30 × 2 → 15 × 2 × 2 → 5 × 3 × 2 × 2

______________________________

100 → 50 × 2 → 10 × 5 × 2 → 5 × 2 × 5 × 2

_______________________________

5 × 3 × 2 × 2 / 5 × 2 × 5 × 2 =

3 / 5.

_____________________________

3x / 5 = 300

3x / 5 × 5 = 300 × 5

3x = 1500

÷3 ÷3

x = $500

What is the equation of the line shown in the graph?

Answers

Answer:

y = -1/5x + 3

Step-by-step explanation:

y=mx+b

Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 81%. If they have four children, what is the probability that exactly four of their four children will have that trait? Round your answer to the nearest thousandth.

Answers

Answer:

0.430 (nearest thousandth)

Step-by-step explanation:

Using binomial probability relation :

p = 0.81

n = 4

x = 4

1 - p = 1 - 0.81 = 0.19

Recall ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 4) = 4C4 * 0.81^4 * 0.19^(4-4)

P(x = 4) = 1 * 0.43046721 * 1

P(x = 4) = 0.43046721

P(x = 4) = 0.430 (nearest thousandth)

((PLEASE SOLVE )) In ABC the measure of the largest angle is 17 less than 4 times the smallest angle. The measure of the middle angle is 10 more than half the measure of the largest angle. What is the measure of the middle angle?

Answers

Unknown, This is physically impossible to answer.

You need to give more information than that, or an image.

also what type of triangle is it obtuse acute right e.t.c.

Please put more information so i can answer this the correct way.

pleaseeeeeeee help meee​

Answers

Answer:

11

Step-by-step explanation:

sorry if I got it wrong but from what I understand it is 11

Find x. Please help with This problem!!!

Answers

Step-by-step explanation:

7+2x-2 = 4x -3

5= 2x -3

2x = 8

x = 4

Can you please answer this honestly no need for explanation

Answers

Answer:

alternate exterior: 2 and 7

corresponding: 1 and 5

alternate interior: 3 and 6

Step-by-step explanation:

Answer:

a= 8 and 1

b= 7 and 3

c= 6 and 3

Step-by-step explanation:

Solve the quadratic equation by using either numeric or a graphic approach x^2 - 14x - 49 = 0

Answers

Answer:

[tex]x = + - 7\sqrt{2 + 7} [/tex]

or in decimal form:

x = 16.89 , -2.89

You get this by completing the square.

Answer:

C

Step-by-step explanation:

edge 2021

Maricow county charges a 4% local fee on all cell phone bills. If a customers bill comes out to 125 what will their bill be including the local fee their bill

Answers

Answer:

$130

Step-by-step explanation:

Given data

Customer bill= $125

Charge= 4%

let us find 4% of $125

=4/100*125

=0.04*125

=$5

Hence the  bill including the local fee is

=125+5

=$130

factorise it
[tex]v[/tex]

Answers

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

Solve the 4 letter code please I need it before midnight, it's not a word.

Answers

Answer:

1. E

2. A

3. B

4. I

Step-by-step explanation:

EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong

5. What is the volume of the pyramid? *
5 points
8 in.
6 in.
7 in.
112 in 3
168 in 3
224 in 3
336 in 3

Answers

Step-by-step explanation:

jawabannya

336 in 3

cuma di kali kali

8×7×6=336

PLEASE HELP ASAP PLEASE ​

Answers

Answer:

9

Step-by-step explanation:

Range = Max value - min value

Max value = 6

Min value = -3

Range:

6 - (-3)

6 + 3

9

Answer:

9

Step-by-step explanation:

there are 9 numbers between -3 and 6 ;)

Help me with this ASAP!!!

Answers

Answer:

136

Step-by-step explanation:

GEMDAS

G - groupings

E - exponents

M - multiply

A - add

S - subtract

cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.

Answers

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm

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