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

what is an equation for the line that passes through the points (-2,3), and (2,1)

Answers

Answer:

yes

Step-by-step explanation:

no

Micah downloads music from an online music store. He pays $1.00 for each song, but if he buys three songs he gets a fourth song for free. Does this relationship have a constant rate of change or a varying rate of change?

Answers

Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free

Step-by-step explanation:

Answer:

A varying rate of change.

Step-by-step explanation:

He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).

(That's with the amount of songs as the x value and money spent as the y-value)

Are 5 and 0.5 Equal to Each other?

Answers

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

No it is not equal one is in the tenths place

HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]

Answers

Answer:

cotx - cot2ⁿx

Step-by-step explanation:

Note: finding the sum not x

First rewrite the first term as:

1/sin2x = sinx / (sinxsin2x)  = sin(2x-x) / (sinxsin2x)  =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2x

Now the sum is:

S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿx

Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16+, where t is time in seconds. The height of a certain tower is 1092 feet. How long would it
take an object to fall to the ground from the top of the building?
seconds
(Round to two decimal places as needed.)

Answers

Answer:

I don't really know it but good luck!

What is 1.33 x 10^6 in scientific notation?

Answers

1,330,000
I tried-
Lmk.

helpp meee pleaseeee​

Answers

Answer:

I think its b:/ srry if I'm wrong

identification method

PLS HELP! ILL MARK BRAINIEST! what is the x and y intercept for this equation?

Answers

x int: (-2, 0) y int: (0,4)

A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]

Answers

Answer:

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Step-by-step explanation:

Proportions

The hybrid car can travel 40 miles per gallon.

Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.

Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

If a relation has more numbers in its range than in its domain, what has to be true?

Answers

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

please help me this is turned in a couoke of minutes!!!!!!!!!!​

Answers

Answer:

mince is the answer

Easy question? Please help I’ll give brainliest! :( Please provide small explanation like instructions it’s okay if not though

Answers

Answer: Ok so what i'v got for this one is that i averaged up all three numbers and i got an average of about 85%. Now you have to put in a fourth number which will actually be another 80% i believe

Step-by-step explanation: add up all 3 divide them all by the numbers then once your done with that plug in the 80% and see what your answer will be.

Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and three fifths blocks east of​ school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase​'s ​house? What is Chase​'s likely​ error?

Answers

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

What is the least common Denominator for 29/40

Answers

Answer:

You need to know the least common denominator (LCD) of 40 and 29 if you want to add or subtract two fractions with 40 and 29 as denominators. The least common denominator, also called lowest common denominator (LCD), of 40 and 29 is 1160 .

Step-by-step explanation: hope this helps

Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =​

Answers

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3​

Answers

Answer:

[tex]m = -\frac{3}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

[tex](x_1,y_1) =(2,1)[/tex]

[tex](x_2,y_2) =(8,-8)\\[/tex]

The slope (m) is then calculated using:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Substitute in, the x and y values

[tex]m = \frac{1 - (-8)}{2- 8}[/tex]

[tex]m = \frac{1 +8}{-6}[/tex]

[tex]m = \frac{9}{-6}[/tex]

[tex]m = -\frac{9}{6}[/tex]

Divide numerator and denominator by 3

[tex]m = -\frac{9/3}{6/3}[/tex]

[tex]m = -\frac{3}{2}[/tex]

Hence, the slope is -3/2

Answer:

Is -3/2.

Step-by-step explanation:

I just took the test!

halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))

John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?

thx for haplin me!! :)

Answers

Question:

Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.

How much more money did she save than spend this week?

Answer:

none. i better be right or else im  jumping off my roof

What can you do if your struggling in Volume in Math?

Answers

Answer:

Study Harder

Step-by-step explanation:

Simplify
2x( x^3-3x^2+5x-8)

Answers

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

Help me and I’ll give brainliest to u

Answers

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n

Answers

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Diameter: d = 2rArea of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]:                    30 m = 2rIsolate r:                             15 m = rRewrite:                              r = 15 mSubstitute [AC]:                 A = π(15 m)²Rearrange:                        A = 15²π

Help please:):):):):):)

Answers

do eat popcorn in a tub

:)

poopy face

[Verse 1]
I am the Glob-glo-gab-galab
The shwabble-dabble-wabble-gabble flibba blabba blab
I'm full of shwibbly liber-kind
I am the yeast of thoughts and minds

[Chorus]
Shwabble dabble glibble glabble schribble shwap glab
Dibble dabble shribble shrabble glibbi-glap shwap
Shwabble dabble glibble glabble shwibble shwap-dap
Dibble dabble shribble shrabble glibbi-shwap glab

[Bridge]
Ooh, ha ha ha, mmm, splendid
Simply delicious
Ohm, ha ha ha ha

[Verse 2]
I am the Glob-glo-gab-galab
The shwabble-dabble-wabble-gabble flibba blabba blab
I'm full of shwibbly liber-kind
I am the yeast of thoughts and minds

[Chorus]
Shwabble dabble glibble glabble schribble shwap glab
Dibble dabble shribble shrabble glibbi-glap shwap
Shwabble dabble glibble glabble shwibble shwap-dap
Dibble dabble shribble shrabble glibbi-shwap glab

How much change from a $50 bill would you receive if you bought
items costing $13.95, $6.08, and $24.35?

Answers

Answer:

$5.62

Step-by-step explanation:

Add all of the cost of the items and then deduct that answer from 50.

Answer:

$5.62

Step-by-step explanation:

50−(13.95+6.08+24.35)

=50−(20.03+24.35)

=50−44.38

=5.62

A demon possessed woody and turned him into a monster!

He now hunts children aged 7-16 because he likes his meals chewy.

His head turns 360 degrees to spot prey.

If you look at the picture he will rise out of your sheets and put snakes in your shoes.

And he's right behind you.

Answers

Answer:

Ë

Step-by-step explanation:

Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you

Answer:

i looked behind me and yes i did see a monster, my brother

Step-by-step explanation:

Which line has a slope of 1/2 and passed through (2,-4)

Answers

The Answer is: “D” step by step explanation:

If the 3 cans cost 0.78 how much will 2 cans cost

Answers

Answer:

.52

Step-by-step explanation:

math ting

Solve the system of equations using elimination.
3x-2y=5
x+2y=3

Answers

Answer:

x = 2

y = 1/2

Step-by-step explanation:

3x - 2y = 5

x + 2y = 3

We don't have to mutiply anything because we have values that we can eliminate.-2y and 2y can be crossed off becuase they have the same value and plus and minus cancel out. We can add instead of changing the signs.

4x = 8

x = 2

Now we know that x = 2. To find y we have to plug in x into one of the equations. I am going to use x + 2y = 3.

2 + 2y = 3

2y = 1

y = 1/2

Now we figured out y. I hope I helped!

Please help I’ll give you brainliest uwu

The ratio of gas cars to
hybrid cars in the
school parking lot is 15:4. There are 12
hybrid cars in the parking lot. How many
gas cars are in the parking lot?

Answers

Answer:

I think the answer is 45

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.

Answers

Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

7 × (-5) is equivalent to?
2
-35
35
-12

Answers

Answer:-35

Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35

Answer:

-35

Step-by-step explanation:

whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.

in this case 7 is positive and 5 is negative so  your anwers is -35

hope i helped!

:)

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