What is the solution to the equation 4x plus 2(x-3) equals 3x plus x minus 12

Answers

Answer 1

Answer:

[tex]\huge\boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]4x+2(x-3)=3x+x-12\qquad|\text{use the distributive property}\\\\4x+(2)(x)+(2)(-3)=3x+x-12\\\\4x+2x-6=3x+x-12\qquad|\text{combine like terms}\\\\(4x+2x)-6=(3x+x)-12\\\\6x-6=4x-12\qquad|\text{add 6 to both sides}\\\\6x-6+6=4x-12+6\\\\6x=4x-6\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x-6\\\\2x=-6\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{-6}{2}\\\\x=-3[/tex]


Related Questions

Preston uses 2 cups of nuts for every 3 cups of raisins to make trail mix. How many cups of
nuts will he need if he uses 12 cups of raisins?
9 Cups
8 Cups
10 Cups
5 Cups

Answers

Answer:

I'm pretty sure it's B. 8 cups

Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.​

Answers

Answer:

The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.

[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]

How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, then answer the question. *​

Answers

Answer:

14 groups

Step-by-step explanation:

Given

[tex]Groupings = \frac{1}{2}\ day[/tex]

[tex]Duration = 1\ week[/tex]

Required

Determine the number of group in the week

To do this, we simply divide the duration by the number half day group.

This gives:

[tex]Group = \frac{Duration}{Groupings}[/tex]

[tex]Group = \frac{1\ week}{1/2\ days}[/tex]

Convert week to days

[tex]Group = \frac{7\ days}{1/2\ days}[/tex]

[tex]Group = \frac{7}{1/2}[/tex]

[tex]Group = 7 / \frac{1}{2}[/tex]

Convert to multiplication

[tex]Group = 7 * \frac{2}{1}[/tex]

[tex]Group = \frac{14}{1}[/tex]

[tex]Group = 14[/tex]

Hence, there are 14 groups

In a school-wide survey about favorite ice cream chocolate beat vanilla by a ratio of 8 to 3. if 150 more students like chocolate than vanilla, how many students took the survey?​

Answers

Answer: 295

Step-by-step explanation: The ratio is 8 to 3 so every student that likes chocolata there the 3 students that like vanila so 8-3 is 5 and 150-5 is 145 add 150+145 to get 295

write 15% as a fraction step by step

Answers

Answer:

15/100

Step-by-step explanation:

15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%

Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.

Question 4 HELPPPPPPPPPPPPP

Answers

The opposite of 4 is -4 :/

Answer:

-4

Step-by-step explanation:

correct have a nice day

Grace conducted a study to show how many hours her dog sleeps after having one or two hours of exercise. She set up a two-way table in four different ways. Which table will best represent Grace’s data? A 4-column table with 3 rows. Column 1 has entries less-than 6 hours of sleep, 2 hours of exercise, total. Column 2 is labeled greater-than 6 hours of sleep. Column 3 is labeled 1 hour of exercise. Column 4 is labeled total. A 4-column table with 3 rows. Column 1 has entries 1 hour of exercise, greater-than 6 hours of sleep, total. Column 2 is labeled 2 hours of exercise. Column 3 is labeled less-than 6 hours of sleep. Column 4 is labeled total. A 4-column table with 3 rows. Column 1 has entries 2 hour of exercise, greater-than 6 hours of sleep, total. Column 2 is labeled 1 hour of exercise. Column 3 is labeled less-than 6 hours of sleep. Column 4 is labeled total. A 4-column table with 3 rows. Column 1 has entries 1 hour of exercise, 2 hours of exercise, total. Column 2 is labeled greater-than 6 hours of sleep. Column 3 is labeled less-than 6 hours of sleep. Column 4 is labeled total.

Answers

Answer:

The best table to use will b the fourth table.

Because the number of hours of excise is on one side and the number of hours of sleep is on the other. It will be easy to calculate it this way. Hope I was able to help

Step-by-step explanation:

I got it right on edge hope this help

Answer:

The fourth one

Step-by-step explanation:

got it right 2020

Select the correct answer.
A. 0.25
B. 0.33
C. 0.5
D. 0.75

Answers

you can use a calculator

What are some real world examples of how you can use the skills of proof writing?

will give brainlyst have to be right

Answers

You can drive your parents crazy by correcting them when there work email is wrong

You can be paid to check other people’s work

You can always be top of your class

factor completely 24x^2+16x-30

Answers

Answer:

2(2x+3)(6x-5)

Step-by-step explanation:

2(12x²+8x²-15)

2(12x²+18x-10x-15)

2(6x(2x+3)-5(2x+3))

2(2x+3)(6x-5)

8 more than a third of a number

Answers

Answer:

8 + 1/3n

Step-by-step explanation:

3x-4 or = to 7


plz help

Answers

Answer:

3 + 4 = 7  which is true.

Step-by-step explanation:

Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.

To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.

You also have to do the same to both sides, kind of like keeping a balance scale in balance.

In this case, we subtract 4 from both sides first:

3x + 4 -4 = 7 - 4

The + 4 - 4 cancel each other out, so you get:

3x = 3

3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:

3x / 3 = 3 /3  

so 1x = 1.

Since 1x is "1 times x" it is the same as x by itself, so:

x=1

AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):

3 * 1 + 4 = 7

3 * 1 is 3, so:

3 + 4 = 7     which is true.

1 is the only number that works.

Hope this helped.

HURRRY FIRST GETS BRAINLIESTTTT

Answers

Answer:

B) one function has a higher rate of change

Step-by-step explanation:

I used process of elimination

A) one function is linear are the other is non linear:

False, because they are both lines.

C) one function has a higher starting value

False, because they both start at 0

D) they are both the same function

False, because one has a steeper slope than the other one

Not sure what this is but last choice is 60 miles FIRST ANSWER GETS BRAINLIEST HEHEHE

Answers

Answer: b

Step-by-step explanation:

I think is B.
Hope this helps!!

What is the equation of the line that passes through the point (-4,-6)(−4,−6) and has an undefined slope?

Answers

Answer:

x = -4

Step-by-step explanation:

there is no y-intercept when slope is undefined

Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

GUYSSSSSSS!!!!!!! PLEASE PLEASE!!! PLEASE HELP!! ILL MARK BRAINLIEST!!

Answers

Answer:(1, 1)

Step-by-step explanation:

u just move it 4 left and 3 up cuz x is left and right and its negative so left, then y is up and down and it's positive so up

Please help me I’m begging you, ignore my answer unless I’m right. I don’t know how to do this please help

Answers

Answer:

What is the question?

Step-by-step explanation:

At a local fitness​ center, members pay $8 membership fee and ​$4 for each aerobics class. Nonmembers pay ​$5 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

Answers

I have the same question why can’t I accept this comment HELPP

Anyone can find “v” and “u”??

Answers

Answer:

[tex]v = \frac{16}{3} \: \: and \: \: u = \frac{20}{3} [/tex]

Step-by-step explanation:

In triangle WYZ ,

[tex] {u}^{2} = {4}^{2} + {v}^{2} = 16 + {v}^{2} [/tex]

In traingle WXZ ,

[tex] {(3 + v)}^{2} = {5}^{2} + {u}^{2} [/tex]

Putting the value of U^2 in above eqn.

[tex] = > {(3 + v)}^{2} = 25 + (16 + {v}^{2} )[/tex]

[tex] = > {v}^{2} + 6v + 9 = 41 + {v}^{2} [/tex]

[tex] = > {v}^{2} - {v}^{2} + 6v = 41 - 9[/tex]

[tex] = > 6v = 32[/tex]

[tex] = > v = \frac{32}{6} = \frac{16}{3} [/tex]

Putting the value of V in eqn. below :-

[tex] {u}^{2} = 16 + { (\frac{16}{3} )}^{2} [/tex]

[tex] = > {u}^{2} = \frac{256}{9} + 16[/tex]

[tex] = > {u}^{2} = \frac{256 + 144}{9} = \frac{400}{9} [/tex]

[tex] = > u = \sqrt{ \frac{400}{9} } = \frac{20}{3} [/tex]

Write an equivalent expression to (-0.25x - 3) - (2.5x + 1.7) using the fewest possible terms.

Answers

Answer: -2.75*x - 4.7

Step-by-step explanation:

In the equation we have only one variable, this means that the minimum possible number of terms will be two, one term with x, and one term without x.

We can start with the equation:

(-0.25x - 3) - (2.5x + 1.7)

Now, let's rewrite this as:

-0.25x - 3 - 2.5x - 1.7

(-0.25*x - 2.5*x) + (-3 - 1.7)

Solving the parentheses we get:

-2.75*x - 4.7

That is the equivalent expression that has the fewest possible terms

The price of parking for 2 hours or less at the airport is increasing from $2.50 to $5.00. What is the percent that the price will increase?

Answers

Answer:

100%

Step-by-step explanation:

5 - 2.5 = 2.5, 2.5 / 2.5 = 1, 1 x 100 = 100% :D

what is the cube root of 64​

Answers

Answer:

the cube root of 64 is 3√64=4.

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

how do I find the value of x in a isosceles and equilateral triangle​

Answers

Depends on where the x is. If in the equilateral triangle, x is the only angle missing then you do whatever two numbers they gave + x = 180 then solve.

If it’s in an isosceles and it’s the same situation, you do x = the side with the same amount of degrees (you will know because there will be a line on the “x” and given side

5/8x24 how can I show my work solving dat

Answers

Answer:

Check the image below

Step-by-step explanation:

44 = 2 × (3 - 1)
help me answer this

Answers

Answer:

its a 48 lol (kkkkkkkkkkk)

can someone please help me out with this.​

Answers

this is not a function

Right answer gets brainlist

Answers

B is the answer I think

Will give crown help

Answers

Answer:

4

Step-by-step explanation:

to find the slope, you have to do rise/run.

you rise up from the first dot 4 times,

then you run once.

4/1

so the answer is 4


Graph the system of equations y = x+2 and 2y = 2x - 4 and describe it as consistent and independent,
consistent and dependent, or inconsistent.

Answers

the graph is attached, where the blue line is y=x+2 and the green line is 2y=2x-4.

since the two systems are parallel to each other and has no solution, this system is inconsistent.
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