What is the value of x in the equation 3(x + 10) = 4(x − 2)?

Answers

Answer 1

Answer:

3x+30=4x-8

-x=-38

x=38

Answer 2

Final Answer: [tex]x = 38[/tex]

Steps/Reasons/Explanation:

Question: What is the value of x in the equation [tex]3(x + 10) = 4(x - 2)[/tex]?

Step 1: Expand.

[tex]3x + 30 = 4x - 8[/tex]

Step 2: Subtract [tex]3x[/tex] from both sides.

[tex]30 = 4x - 8 - 3x[/tex]

Step 3: Simplify [tex]4x - 8 - 3x[/tex] to [tex]x - 8[/tex].

[tex]30 = x - 8[/tex]

Step 4: Add [tex]8[/tex] to both sides.

[tex]30 + 8 = x[/tex]

Step 5: Simplify [tex]30 + 8[/tex] to [tex]38[/tex].

[tex]38 = x[/tex]

Step 6: Switch sides.

[tex]x = 38[/tex]

~I hope I helped you :)~


Related Questions

Which function is graphed?

Answers

Answer:

A

Step-by-step explanation:

The included point is (1,3) and the vertical intercept is (0,2)The root is (2,0) and the excluded point is (1,1)Hope this helps.

Answer: C

Step-by-step explanation:

just took the quiz !

PLEASE PLEASE HELP ME
The distance on a map from Lynchburg to Houston is 5 in. The scale on the map is 1/2 in = 100 mi. What is the actual distance?

A) 100 mi

B) 10,000 mi

C) 1000 mi

Answers

Answer:

1,000 miles

Step-by-step explanation:

set up the equation as

100x = d

where x equals the number of half inches between two points on the map

and d equals the distance between those points in real life

5 inches = 10 half inches so, plugged in the equation looks like

100(10) = d

simplify it to

1000 = d

and bam, the real distance is 1,000 miles

C 1/2 an inch equals 100 miles.each inch equals 200 miles. So now you take 200×5 and you get 1000 miles

what’s the slope of the line?

Answers

Answer:

-10/3 or -3 and 1/3

Step-by-step explanation:

you can do y1-y2 over x1-x2 of two points

or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3

but its negative slope cause your going back 3 to the left

Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16​

Answers

anser:15

Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15

Mean of given dataset is 15.

What is mean?

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.

Given dataset

12, 16, 10, 26, 14, 12

Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]

= [tex]\frac{90}{6}[/tex]

= 15

Mean of given dataset is 15.

Find out more information about mean here

https://brainly.com/question/11163338

#SPJ3

bus a leaves every 30 mins
bus b leaves every 20 mins
at 10 am both buses leave the station together
work out the next time they will leave at the same time

Answers

Answer:

Step-by-step explanation:

Find the LCM of 30 & 20

30 =  2 * 5 * 3

20 = 2 * 2 * 5

LCM = 2 * 3 * 2 * 5 = 60

60 minutes = 1 hour

So, again at 10am both will leave at the same time

Answer:

11 am.

Step-by-step explanation:

That would be the LCM of 20 and 30 which is 60 minutes.

So the nexrt time will be 10.00 + 60 mins

= 11.00 am.

Could u help me !! Plz I will gave Brainliest

Answers

Answer:

1.) 120.722222206 or  120.72

2.) 650.250000382 or 650.25

Step-by-step explanation:

Mr. Trujillo wants to paint a wall which contains a french door in his breakfast area as shown in the diagram below.







How many square feet of wall does Mr. Trujillo need to paint?

Answers

Answer:

the answer to this question that you are asking is 18 because it just is

A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 4700?​

Answers

Answer:

14.2 years

Step-by-step explanation:

The town grows 4% (0.04) every year.

3000 x 0.04 = 120, so the town gains 120 people every year.

The town needs 1700 more people to get to 4700.

So, 4700/120= 14.1666666667

That rounds up to 14.2 years.

Hope this helped :)

I’ll love you forever if u can help me wit dis ASAP ILL GIVE BRAINLIEST

Answers

Answer:

love me then

Step-by-step explanation:

What is the correct answer?!
HELP FAST!

Answers

Answer:6.66

Step-by-step explanation:

I’m pretty sure its infinite if not just putt that answer

Answer: 84 r4

Step-by-step explanation:

I think that is correct.

Conrad hires a band to pl ay for his graduation party. The band charges a flat fee of $200, plus $125 per hour after the first hour. Which equation best describes the cost, c, of the band in relation to the time, t, that they play?

Answers

It’s $325 , branliest please

Whats the answer to 4x-5=2-x asap

Answers

Answer:

x=1.4

Step-by-step explanation:

1.4

Put the x’s on one side and the rest on the other then solve for x

So...

4x + x = 2 + 5

5x = 7

5x/5 = 7/5

X= 1.4

Note: when switching sides the sign’s
(+ and -) get switched. A positive sign becomes negative and vice versa

1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?

Answers

Answer:

Step-by-step explanation:

65% of them are male, obviously, but to figure out what 65% of 320 is, you have to do 320*.65. That gets you 208. The answer is 208

Answer:

65/100×320=208males

Step-by-step explanation:

Warren was drawing a shape on the grid below. He started at (2,0) and drew a line to (2,5), then to (4,3), then to (6,5) and finally a line to (6,0). What was made after all the points were connected?

Answers

Answer:

concave pentagon

Step-by-step explanation:

Answer:

c edge 2021

Step-by-step explanation:

Does anybody know what (20x30)+10 to the second power is?

Answers

Answer:

372,100.............

Answer:

[tex]372100[/tex]

Step-by-step explanation:

A number to the [tex]x[/tex] power represents [tex]x[/tex] amount of times the number is multiplied by itself. To the second power means that the number is multiplied by itself twice.

[tex][(20\times30)+10]^2 = 610^2[/tex] (first work on terms inside parentheses)

[tex]= 372100[/tex]  ([tex]610^2 = 610\times 610[/tex])

Hope this helps :)

what is y= 1/3 x - 5

Answers

Answer: y= (-5/3)

Hope this help

Whats the answer to -6(12p - 8n) in distributive Property?

Answers

Answer:

−72p+48n

Step-by-step explanation:

Round this number to the nearest thousand
13,278

Answers

Answer:

13,000................

Answer:

13,000

Step-by-step explanation:

Its 13,000 because that 2 changes into a 3 but three isn't over 5.

The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.

Answers

Answer:

I don't know

I don't know

let the apple equal to x and let the banana equal to y

Equation one is x+y= 1

Equation two is 3x+2y= 2.40

Because we are doing the elimination method, multiply all of equation one by 3


3x+3y=3
3x+2y=2.40
(subtract the equations from one another)


So now you have y=60 cents

So, one banana costs 60 cents

One acute angle of a right triangle measures 35°. What is the measure of the other acute angle? ·

Answers

Answer:

55

Step-by-step explanation:

A right triangle always has one angle which is equal to 90 degrees. You have been given the second angle which is 35 degrees hence to get the second acute angle you do:

180 - (90+35)

= 55

Answer:

we have,,

the traingle having one actue angle is 35degree

i.e angle ACB be 35degree, AND

another one angle ABCis 90degree

Also, let angle Bac be x

now,,

x+35+90=180(being the sum of traingle)

or,x=180-125

or,x=55

therefore, the value i.e angle BAC be 55 degree.

Winter Temperatures
One winter day, the temperature in Houston is 8° Celsius. Find the
temperatures in these other cities. Explain or show your reasoning.
1. In Orlando, it is 10° warmer than it is in Houston.
2. In Salt Lake City, it is 8° colder than it is in Houston.
3. In Minneapolis, it is 20° colder than it is in Houston

Answers

Answer:18 , for the first one

Step-by-step explanation: because 10+8= 18

factorise the expression 4(x+1)^2-49 . plz solve this i will mark you the brainliest

Answers

Answer:The answer is : Expand the square

4(x+1)the second square - 49

4(x+1)x+1)-49

The solution is : 4x second square + 8x - 45

Step-by-step explanation:

Charlie wants to earn at least $33 trimming trees he charges six dollars per hour and pays nine dollars in equipment fees.
What are the possible numbers of hours Charlie could trim trees
Use t for the number of hours
write your answer as an inequality solved for t

Answers

Answer:

51

Step-by-step explanation:

FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.

Answers

Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.

Step-by-step explanation:

The measure of angle 1 should be 80 degrees.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.

The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.

Therefore 30° + m ∠1 +  70° = 180°.

100 + m ∠1= 180°.

So, m ∠1= 80°.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ2


In the figure above, AC = BC. If m

Answers

Answer:

80 degrees

Step-by-step explanation:

since ac and bc equal each other, it is an isosceles triangle. due to that, the measure of angle a and b are 50. so the measure of angle c is 80. due to some theorem, angle ecd is equal to angle acb. so ecd = 80

What is the value of the expression?

Answers

Answer:

Option D

Step-by-step explanation:

I evaluated the numbers in the parentheses and multiply both of them. Then I found the answer that is equivalent to mine. I got 7/10, which is also equal to 7.0 x 10^-1.

Hope this helps! :)

Two mathematicians were both born in the last 500 years. Each lives (or will live) to be 100 years old, then dies. Each mathematician is equally likely to be born at any point during those 500 years. What is the probability that they were contemporaries for any length of time

Answers

Answer:

The answer is "0.36".

Step-by-step explanation:

we assume, that they are not blood-relatives, then we need both the dates (birth and death)

Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.

Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])

Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]

S Year of birth'

After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.

Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):

[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]

For just a mathematician, are using the same rationale 2.

By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):

[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]

what is the answer to 3(-4x-5)

Answers

Answer:

-12x -15

Step-by-step explanation:

3(-4x-5)

3*-4x -3*5

-12x -15

Answer:

-12x-15

Step-by-step explanation:

expand and simplify

-12x-15

[Shapes]
How many degrees is ZA’BC in this cube?
please help me i don't understand​

Answers

yeah same idekkk but obviously each side is 90 degrees bc it’s a 90 degree angle

What is the slope of the line that passes through the points (4, 5) and (12, 7)?

Answers

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

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