3(-X+4)=7x-8. Yeahhhh...

3(-X+4)=7x-8. Yeahhhh...

Answers

Answer 1

Hey there!☺

[tex]Answer:\boxed{x=2}[/tex]

[tex]Explanation:[/tex]

[tex]3(-x+4)=7x-8[/tex]

Let's start by simplifying both sides. First, we distribute.

[tex](3)(-x)+(3)(4)=7x+-8[/tex]

[tex]-3x+12=7x+-8[/tex]

[tex]-3x+12=7x-8[/tex]

Now let's subtract 7x from both sides.

[tex]-3x+12-7x=7x-8-7x\\-10x+12=-8[/tex]

Now we will subtract 12 from both sides.

[tex]-10x+12-12=-8-12\\-10x=-20[/tex]

In our last/final step, we will divide both sides by -10.

[tex]\frac{-10x}{-10}=\frac{-20}{-10}[/tex]

Now simplify -20/-10.

[tex]-20/-10=2[/tex]

[tex]x=2[/tex]

Hope this helps!


Related Questions

Divide8/9 and 8. Express your answer in simplest form

Answers

Answer: The answer is 0.11 in decimal form.

Step-by-step explanation:

Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze. How much honey does Ben have left?

Answers

Answer:

1 1/3

Step-by-step explanation:

Firstly, 1 2/3 is converted into an improper fraction being 5/3. Next, 1/5 of 5/3 is one portion of 5 equal portions. You can split 5/3 into five equal portions of 1/3. Therefore, 1/3 cup of honey was used to make the honey glaze. Lastly, that is subtracted from the 1 2/3 to end up with 1 1/3.

The required amount of honey left is given as 1 1/3.

Given that,
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Amount of honey = 1 2/3 = 5 / 3
Amount of honey used is 1/5 times = 1/5 [5 / 3] = 1 / 3
Amount of honey left = 5/3 - 1/3 = 4/3 or 1 1/3

Thus, the required amount of honey left is given as 1 1/3.

Learn more about arithmetic here:

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Dave is driving to Dallas, TX for the weekend from Austin, TX for the weekend. He is traveling along the tollway 130. The speed limit is 80 mph. There are approximately 1.6 kilometers in 1 mile. What is this limit in kilometers per hour?

Answers

We need to multiply the 80mph by the 1.6 to make it KPH

When done correctly we get the answer of 128KPH

The limit is 128kph

HOPE THIS HELPED. DONT FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR SO OTHER PEOPLE CAN BE HELPED BY THIS ANSWER!! HAVE A NICE DAY!

what is the mathematical expression for the problem withdrawing $10 every week from an outstanding $400?

Answers

Answer:

40

Step-by-step explanation:

because if you do 400 divided by 10, it gives you 40

I need help to make it positive

Answers

Answer:

  -8c^4/m^3

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  [tex](-2)^3\cdot(c^{-2})^{-2}\cdot m^{-6}=-8\cdot c^{(-2)(-2)}\cdot m^{-3}\\\\=\boxed{\dfrac{-8c^4}{m^3}}[/tex]

I didn't understand how C wasn't a correct answer to this problem alongside A, as the only correct answer is A/

Answers

Answer: It is A

Step-by-step explanation:

In the given figure D) DC/BC has the same ratio as AB/BC.

What is the interior angle bisector theorem?

The interior angle bisector theorem states that in a triangle the angle bisector of an angle divides the opposite side to the angle in the ratio of the remaining two sides.

In ΔABC m∠A = 28° and the ratio is taken for the sides which is opposite to the given angle BC and the side which not base AB.

Given the ratio AB/BC.

∴ In ΔBCD in which m∠B is also 28° we have to take the same sides opposite side is DC and the side which is not the base BC.

So, in the triangles ABC and ABD The ratio which has the same value as AB/BC is BC/DC.

learn more about the exterior angle theorem of a triangle here :

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if it is 9:37 what time would it be a hour and a half later

Answers

Answer:

it would be 11:07

Step-by-step explanation:

what grade are u in???

it would be 11:07 am/pm depends the question.

A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, the boy has rolled to a distance of 30 meters. What is his average speed?

Answers

Answer:

His average speed is 4.75 m/s

Step-by-step explanation:

Here, we are interested in calculating the average speed of the boy.

At time t = 4 seconds, total distance traveled = 6 meters

The average speed here is distance/time = 6/4 = 1.5 m/s

Now at time 30 7 seconds , he has rolled 30 meters

What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second

write an equation of the line that passes through each pair of points (0,1),(5,3)

Answers

i need help with that too

Graph [tex]g(x)=\frac{1}{2}|x+2|-3[/tex] as a transformation of [tex]f(x)=|x|[/tex]. Then identify the transformation.

Answers

Answer:

see below

Step-by-step explanation:

 g(x) = 1/2 | x+2| -3

y = Cf(x)   0 < C < 1 compresses it in the y-direction

y = f(x + C)      C > 0 moves it left

y = f(x) + C C < 0 moves it down

1/2 compression in the y direction moved to the left 2 units and down 3 units

Given: g(x) = 1/2|x + 2| - 3

0 < c < 1 means at the y-axis and makes it smaller

y = cf(x)

1/2 compression

c > 0 means that you move it to the left

y = f(x + c)

2 units to the left

c < 0 means that you move it down

y = f(x) + c

3 units down

Best of Luck!

7 less than three times Heather's
age is 14. Write an equation and
solve to find Heather's age.

Answers

3x-7=14

3x=14+7

3x=21

divide 3x by 3

Divide 21 by 3

x=7
3*Heather’s age-7=14

3*Heather’s age = 14+7

3H=21

H=7

Heather is 7 years old

which of the following are based on the diagram below? (select all answers that are true)

please help me out here!

Answers

It’s the first one.

HELP PLS I NEED THIS >3

Answers

Answer:

56

Step-by-step explanation:

Here, n = 8, r = 3

[tex] \huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}[/tex]

8. What is the solution to 0,3(12x16)=0.4(12-3x)?​

Answers

Answer: False

Step-by-step explanation: First, you are going to multiply the numbers in the first set of parenthesis, getting 72. Now, have 72 take the place of 12x6 in the equation. Your new equation looks like this: 0.3 x 72 = 0.4(12-3).

Going off of step one, you will be doing the same thing with the second set, but you will be subtracting instead. You will get 9, and plug it place of the parenthesis. Your equation now looks like o.3 x 72 = 0.4 x 9.

Next, you will multiply the set of numbers on the left side of the equal sign, getting 21.6. You now have an equation of 21.6 = 0.4 x 9.

Going off of step 3, you are going to do the exact same thing we did in step 3. Multiply 0.4 and 9, and you will get 3.6. The equation now looks like 21.6 = 3.6.

Now, the inequality is false because the left-hand side and right-hand side are two completely different numbers. A bigger number cannot be equal to a smaller number.

Hope this helps!

What is the answer??

Answers

Answer:

x = -2±i

Step-by-step explanation:

Question: 8n - 3 - 5n > 9

Answers

Answer: Inequality Form:

n > 4

Interval Notation:

4, (infinite)



The temperature at 3:00 pm is 27 degrees. The temperature drops 4 degrees every hour for 8 hours. What is the temperature at 11:00 pm?

Answers

–5 degrees i know because my brother just answered this and got it right

Write 9.1 as a mixed number and as an improper fraction.
Do not try to simplify your answers.

Answers

Answer:  9 1/10      91/10

Step-by-step explanation:

Answer:

9 1/10 and 91/10

Step-by-step explanation:

hope it helps :)

brainliest pls? have a good day/night

4 times as much as 3 is

Answers

Answer:

12

Step-by-step explanation:

4x3=12

12 four times three is 12

Five boxes of crackers cost $9 at this rate how much do 20 boxes cost

Answers

5 1.80, the crackers cost $1.80 per box: 20 3 1.80 5 36. So, 20 boxes cost $36.00.

Answer:

$36

Step-by-step explanation:

To find how much one box costs you divide 9÷5 = 1.8

Then you take 1.8 × 20 = 36

If you want me to go over it in depth, let me know! Have a great day!

To amend a country's constitution, 5/6 of the 44 states in that country must approve the amendment.If 35 states approve an amendment, will the constitution be amended?

Answers

no because 35/44 is like 79.3% and 5/6 is like 83%

4 2/5 divided by 8.5

Answers

Answer:

0.51764705

Step-by-step explanation:

Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.

Answers

Answer:

Step-by-step explanation:

Length of fence = Perimeter of triangle

                          = 10 + 20 + 15

Length of the fence = 45 m

Cost of fencing per meter = Rs. 25

Cost of fencing 45 m = 25 * 45

                                  = Rs. 1125

[tex]\huge{\fbox{\fbox{Given:}}}[/tex]

Lengths of the three sides of triangle are 10m,20m and 15m.

Length of the fence =

Perimeter of the ∆

[tex](10 + 20 + 15)m \\ = 45m[/tex]

[tex]\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}[/tex]

[tex]45 \times 25 = Rs1125[/tex]

▬▬▬▬▬▬▬▬▬▬▬

Please help me. I have been struggling with prob and stats.

Answers

Answer:

Step-by-step explanation:10

Lcm of 4 , 8 , 12???

Answers

Answer:

It is 4

Step-by-step explanation:

4

4 8

4 8 12

as you can tell 4 is your answer.

Which ratios are equivalent to 8 : 12? Select all that apply. A 4 : 6 B 12 : 8 C 16 : 20 D 24 : 36 E 56 : 84

Answers

Answer:

A, D, E

Step-by-step explanation:

like with division if you multiply the same thing on both sides it is still equal

The  ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 8, and b= 12,

[tex]a:b = 8 : 12\\\\ = \dfrac{8}{12} = \dfrac{2 \times 4}{2 \times 6} \\= \dfrac{2}{3} \\\\a : b = 2 : 3[/tex]

So, the  ratios are equivalent to 8 : 12

A 4 : 6

D 24 : 36

E 56 : 84

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Learn more about ratio here:

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what equation has x=5 as a soulution

Answers

Answer:

7x-15=20

Step-by-step explanation:

7x-15=20

7x=35

x=5

How many times greater is the value of of 2 in 2341 than the value 2 in 1234?​

Answers

The 2 in 2341 represents 20,000
meanwhile the 2 in 1234 represents 200 so the 2 in 2341 is 10 times great.
I hope this helps

find the value of n and w if w is between x and y.

wx = 6n -10, xy = 17, and wy = 3n

Answers

answer:

n=3

Step-by-step explanation:

6n-10+3n=17

6n+3n=27

9n=27

n=3

Plz help I’ve been doing this for 6 days

Answers

Hi there! :)

t ≥ -2

2t + 8 ≥ -4(t + 1)

Distribute the coefficient outside of the parenthesis:

2t + 8 ≥ -4(t) -4(1)

2t + 8 ≥ -4t - 4

Add 4t to both sides:

6t + 8 ≥ -4

Subtract 8 from both sides:

6t ≥ -12

Divide both sides by 6:

t ≥ -2.

Answer: t ≥  -2/3

Step-by-step explanation:

Distribute the -4 into (t + 1). 2t + 8 ≥  - 4t - 4Add 4t on both sides. 6t + 8 ≥  -4Subtract 8 on both sides. 6t ≥  -4Divide by 6 on both side. Then , simplify -4/6 by 2 on both the numerator and denominator. t ≥ -2/3  
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