Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

Answers

Answer 1

Answer:

Solving the linear equation [tex]3(-4x + 5) = 12[/tex] we get [tex]\mathbf{x=\frac{1}{4}}[/tex]

Step-by-step explanation:

We need to solve to find the value for x in the linear equation: [tex]3(-4x + 5) = 12[/tex]

1. Use the distributive property:

Multiply 3 with terms inside the bracket

[tex]3(-4x + 5) = 12\\3(-4x)+3(5)=12\\-12x+15=12[/tex]

2. Use the subtraction property of equality:

Subtracting 15 on both sides

[tex]-12x+15-15=12-15\\-12x=-3[/tex]

3. Division property of equality:

Divide both sides by -12

[tex]\frac{-12x}{-12}=\frac{-3}{-12}[/tex]

[tex]x=\frac{1}{4}[/tex]

So, solving the linear equation [tex]3(-4x + 5) = 12[/tex] we get [tex]\mathbf{x=\frac{1}{4}}[/tex]

Answer 2

Answer:

x= [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Or the way you will right it in edg is 1/4


Related Questions

What is the value of the discrimant 2X^2-6x-1

Answers

Answer:

44

Step-by-step explanation:

D=b²-4ac=(-6)²+4×2×1)=44

Answer:

1/10x(20x^2-60x-11)

Step-by-step explanation:

I’m having doubts about my answer can someone help me?
Write an algebraic expression for 2 less than one-third of the points the Panthers scored.

I put (1/3•p) - 2

Is that correct?
I’ll give brainliest

Answers

Yes it it correct

1/3p - 2

find the slope of the line graphed below

Answers

Answer:

-3/4

Step-by-step explanation:

You just start at the lowest point on the graph, count how many points it goes up which is 3, then you go left 4. So you have 3/4, but because you went left it is -3/4

How do I do this? It's about systems of equations.

Answers

Answer:

D.

Step-by-step explanation:

The last one has the correct variables and amounts in the right order.

12x + 9y = 120

6x + 14y = 136

1. The population of Gainesville is 4500 in 2000. The population grows by 8% each
year. What was the population of Gainesville in 2015?

2. In 1990, there were 5000 albino tigers in the world. That number is decreasing by 7%
each year. How many albino tigers were there be in 2012?

Helppp please​

Answers

Answer:

You need help with both or can I just help with one ?

Step-by-step explanation:

Answer:

14,275

1013

Step-by-step explanation:

1: To get the population in the year 2001 we would have to multiply 4500 by 1.08. To get the population in 2002 we would have to multiply: 4500(1.08)(1.08) or 4500(1.08)^2  

Therefore you can write the following equation

4500(1.08)ⁿ where n is the number of years

we need is in 2015 and so n=15 so we have

4500(1.08)¹⁵=14274.5 which you should probably round to 14275

The second one is very similar to the first

to get from 1990 to 1991 you would multiply 5000*.93

so our equation would be

5000(.93)ⁿ where n is the number of years

1990-2012 is 22 so we have

5000(.93)²²=1012.96 which rounds to 1013

The perimeter of a triangle is 22cm. If one of the sides is 9cm,find the other sides if the area of the triangle is 20.976cm2 ​

Answers

Answer:

Third side = 8.34 cm

Step-by-step explanation:

Given that,

The perimeter of a triangle, P = 22 cm

One side of a triangle, b = 9 cm

The area of the triangle, A = 20.976 cm²

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 20.976}{9}\\\\h=4.66\ cm[/tex]

Perimeter = Sum of all sides

9 cm + 4.66 cm + x = 22

x = 22 - 13.66

x = 8.34 cm

So, the third side of the triangle is 8.34 cm.

Please help me and if you did thank you.

Answers

Answer:

12

Step-by-step explanation:

To find range, you subtract the largest and smallest number :)

The answer would be 12

A man earns 12,000 per year, 10% of it was spent on transport while 5% of the salary went as tax. He spent 80% of the remainder on food. How much has he left.​

Answers

Answer:

Amount left = 2040

Step-by-step explanation:

Given that:

Per year salary = 12,000

Amount spent on transport = 10%

Transport = [tex]\frac{10}{100}*12000[/tex] = 0.1 * 12000

Transport = 1200

Tax = 5%

Tax = 0.05 * 12000

Tax = 600

Total = 1200 + 600 = 1800

Amount left = 12000 - 1800 = 10200

Food = 80% of remainder

Food = 0.8 * 10200

Food = 8160

Amount left after food = 10200 - 8160 = 2040

Hence,

Amount left = 2040

A survey conducted by Black Flag asked whether or not the action of a certain type of roach disk was effective in killing roaches. 79% of the respondents agreed that the roach disk was effective. The number 79% is a A) parameter. B) population. C) statistic. D) sample. E) sampling distribution.

Answers

Answer: C) statistic.

Step-by-step explanation:

Population = Largest group of all the items that need to be considered in a study.Sample = Subset of population.The measure of a characteristic in a population is parameter.The measure of a characteristic in a sample is statistic.

Here, 79% is a measure of proportion of respondents agreed that the roach disk was effective from the sample in he study.

So, The number 79% is a statistic.

Correct option: C) statistic

Consider the following simplified algebraic expression.

10 x squared y + 6 x squared minus 7 y squared minus 6

Which could be the original expression?

Answers

Answer:

*dies of boredom*

Step-by-step explanation:

EH, MWAH

Describe the rotations that map the figure onto itself

Answers

Hello hi hello kitty hi hello hello kitty kitty buddy bye buddy buddy merry thanksgiving buddy bye buddy buddy merry thanksgiving buddy buddy bye bye merry thanksgiving merry merry thanksgiving to see y’all have fun merry Christmas merry

Brainliest if helpppp

Answers

Answer:

Step-by-step explanation:

<NOC is 31 because it is a vertical angle to <BOK, which is also 31

<DOC is 62 because it is two times the bisected <NOC. 2*31=62

<DON is 31 because it is the bisected angles <DON and <NOC are equal.

<TOC is 118 because <KOT and <NOC are both 31 degrees. Since they lie on a line together, the three angles should add up to 180 degrees. 180-31-31 = 118

I hope this helps! :)

The rectangle on the right is a scaled copy of the rectangle on the left. Identify the

scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

Answer:

Scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given question is incomplete; find the question in the attachment.

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Corresponding dimension of preimage}}[/tex]

Scale factor = [tex]\frac{\text{Dimension of image rectangle B}}{\text{Corresponding dimension of preimage rectangle A}}[/tex]

From the figure attached,

Length of rectangle B = [tex]\frac{20}{3}[/tex]

Length of rectangle A =  20

Scale factor = [tex]\frac{\frac{10}{3}}{10}[/tex]

                    = [tex]\frac{\frac{10}{3}}{10}[/tex]

                    = [tex]\frac{1}{3}[/tex]

Therefore, image rectangle A is dilated with by a scale factor of [tex]\frac{1}{3}[/tex].

What is 4.292 in word form?

Answers

Answer:

four and two hundred ninety-two thousandths.

Sherry can make 5 pies in 4 hours. How many hours does it take sherry to make 16 pies?

Plz hurry

Answers

Answer:12.8 hours

Step-by-step explanation:divide 5 by 4 you get 1.25 witch is one hour 15 min then you times 5 by 3 then add

Sherry make 16 pies in 12.9 hours.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

Sherry can make 5 pies in 4 hours.

Now,

Since, Sherry can make 5 pies in 4 hours.

So, Sherry can make 1 pies in = 4/5 hours.

Thus, Sherry can make 16 pies in = 16 x 4/5 hours.

                                                    = 64/5 hours

                                                    = 12.9 hours

So, Sherry make 16 pies in 12.9 hours.

Learn more about the division visit:

https://brainly.com/question/24798355

#SPJ6

a number x is at most -10

Answers

Answer:

give equation plz

Step-by-step explanation:

What is the area of the real object that the scale drawing models?
Scale factor: 1:6
Area =
15 square cm
Scale drawing
Object
O A. 90 square cm
B. 15 square cm
C. 180 square cm
O D. 540 square cm

Answers

Answer: 10 ft = 10(12) = 120 inches. Area = length x width. Area = 96(120) = 11520 sq. in. An 8 inch square = 8 x 8 = 64 sq. in. 11520 divided by 64 = 180 tiles.

Step-by-step explanation:

Answer:

its 540

Step-by-step explanation:

Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?

Answers

Sport j need poitnssskajxkbec

make
x
the subject of the formula
p
+
x
=
t

Answers

Answer:

x = t - p

Step-by-step explanation:

p + x = t

subtract p from both sides.

x = t - p

Please help me!! Giving brainliest

Answers

answer:

9

basically whatever is in between the lines make it a positive!

heres another example

|-9|

= 9

|1|

= 1

Answer: 9 (nine) is the natural number following 8 and preceding 10.

I hope this is what you need. Sorry if it isnt

Step-by-step explanation:

Have a good night

Please help i give brainliest

Answers

Answer:

minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by t^1=2.1 minutes.

Then they are able to reduce that time by t^2=1/10

If their final time is 3.96 minutes, then

X - t^1  - t^2 = 3.96

=> X = 3.96 + t^1 + t^2

=> X = 3.96 + 2.1 + 1/10

=>  X = 6.16

PLEASE HELP
URGENT!!!!!!!!!!!!!!!

Answers

Answer:

a.) 26< a 28  

b.) 4

Step-by-step explanation:

a.) After looking at the age in years collum you can notice that all of ages have a difference of 2. With this you can infer that the missing number is 28.

b.) To find the mean add up all the numbers in the frequency column.

3+2+7+8+0=20

Divide that by the amount of numbers. There are 5 numbers so 20/5=4.

Hope this helps!

On a certain hot​ summer's day, 386 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $807.50. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Call x is childrens

Call y is adults

x + y = 386 (1)

1,75x + 2,5y = 807,5 (2)

(1) => x = 386 - y => (2) 1,75 ( 386-y )+2,5y = 807,5

0,75y=132 => y = 176 and x = 210

Step-by-step explanation:

What is...

2 + 2?
yes this is for easy points

Answers

Answer: 4?

Step-by-step explanation: hehe

(is brainliest to much to ask for?) THaNK YOU

Answer:

2+2=4

Thanks for points!! :)

Two less than six times a number is the same as thirteen more than a number. Find the number.​

Answers

6x - 2 = x + 13
Subtract x
5x - 2 = 13
Add 2
5x = 15, x = 3
Solution: the number is 3

Swetha and Abhishek have 70 stamps each. Swetha gave ▲ stamps to Abhishek.
How many stamps MORE THAN Swetha does Abhishek have now?
A. ▲
B. ▲ + ▲
C. 70 + ▲
D. ( We cannot say without knowing the number of stamps given)

Answers

C …………………………………………………………………………………………

answer for all 3 boxes please :)​

Answers

Answer:

[tex]m=-\frac{5}{3}[/tex]

Step-by-step explanation:

rearrage the equation from standard to y = mx+b from

y - 4x = 6

Answers

Answer:  y = 4x + 6

Step-by-step explanation:

Isolate y on the left by adding 4x to both sides of the equation.

In slope intercept form , now you have the slope, m = 4

And the y-intercept, b = 6

John's family visited his grandmother over the weekend. the drive to her house was 2 hours at their usual speed. the trip back took 15 min longer because traffic was bad and they had to drive 5 mph slower. how many miles away is Johns's grandmother's house?

Answers

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.

Find out more on speed at: https://brainly.com/question/4931057

Answer:

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.

1/6 of the counters in a bag are blue,
1/2 of the counters are red.

1/3 of the counters are purple.

Which of these show the ratio of blue : red : purple?

1:1:1
1:3 : 2
1:2:3
6:2:3

Answers

Answer:

1:3:2 would be your answer

Step-by-step explanation:

Considering there are 6 marbles in the bag, 1/6 would be 1, 1/2 would be 3, and 1/3 would be 2.

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