Solve for x: 1/3(21-3x)=1/2(8-4x)

Answers

Answer 1

Answer:

x = -3

Step-by-step explanation:

[tex] \frac{1}{3} -(21 - 3x) = \frac{1}{2} (8 - 4x)[/tex]

[tex]21 - 3x = 3(4 - 2x)[/tex]

[tex]21 - 3 x = 12 - 6x[/tex]

[tex] - 3x + 6x = 12 - 21[/tex]

[tex]3x = - 9[/tex]

[tex]x = - 3[/tex]


Related Questions

"You are growing like a weed!” D’rek's grandmother said to him when she saw him for the
first time in a year. If D’rek grew 8 inches over the last year, and an average dandelion (a
common weed) grows 0.1 inches in one day, is D’rek growing like a weed? Justify your
answer.

Answers

growth rate:

[tex]=\frac{8}{365}[/tex]Derek is not growing like a weed because the weed grows at 0.1 inch per day, while he grows at a rate of 0.022 inch per day.

The number of days in a year = 365

The question says that D'rek grew at the rate of 8 inches in the last year'

D'reks growth rate:

[tex]=\frac{8}{365}[/tex]

= 0.022 inch per day

From the calculation above, Derek is growing at the rate of 0.022 inch per day. But the question says that the weed grows at the rate of 0.1 inch per day

In conclusion, Derek is not growing like a weed, his growth rate differs from that of the weed.

Here is a similar question and solution https://brainly.com/question/1806491?referrer=searchResults

hey please help i’ll give brain

Answers

Answer:

7

Step-by-step explanation:

Using the commutative property of addition

a+b = b+a

6+7=7+6

He’s right it’s 7



Have a nice day

Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. The college professor tells you he will give you a 33% to 67% split on grades between tests and homework where which ever average is higher will be the 67%. What was your final grade be if your homework average is 52 and your test average is 71?

Answers

Using weighed mean, it is found that the final grade is 64.73.

--------------------------

To find the weighed average, we multiply each grade by it's weight.

--------------------------

Since we want to find the weighed average, we have to identify in the text the grades, and it's respective weighs.

Grade of 71, with a weight of 67%(as it states in the text, the higher grade has a weight of 67%).Grade of 52, with a weight of 33%(as it states in the text, the lower grade has a weight of 33%).

Thus, the final grade is:

[tex]F = 71\times0.67 + 52\times0.33 = 64.73[/tex]

The final grade was of 64.73.

A similar problem is given at https://brainly.com/question/23731238

Find the supplement of 122 degrees 45'

Answers

Answer:

Step-by-step explanation:

Supplement angle is 57degree 15'

Slove 3(t-3)=5(2t-1)​

Answers

Answer:

t = 7/-4 OR -1 3/4

Step-by-step explanation:

3(t - 3) = 5(2t - 1)​

3t - 9 = 10t - 5

(3t - 3t) - 9 = (10t - 3t) - 5

-9 = 7t - 5

-9 + 5 = 7t (- 5 + 5)

-4 = 7t

-4/-4 = 7t/-4

t = 7/-4 OR -1 3/4

Use function notation to write y=-.2x-1 and build a table to find f(-1), f(0), f(10)

Answers

Your answer would be F(0)=f(-1)

pls answer my question ​

Answers

Hello!

In this question, you are finding the square root of 100-84.

The first thing you should do is do whatever is inside the square root sign. So, do 100-84:

100-84= 16

Now, you can take the square root of that number. Taking the square root means which number, when multiplied by itself, equal the number under the square root sign? In this case, the answer is 4!

This is because 4 multiplied by itself ( 4 times 4) is 16!

Answer: 4

I hope this helped! Comment if you have questions!

Answer:

have a great day

god is great

What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3

Answers

C.-3/4................

Please Help!!!

write the expression as the sine or cosine of an angle.

sin 3x cos x - cos 3x sin x

Answers

Answer:  sin(2x)

In other words, you'll type "sin" without quotes in the green box.

Also, you'll type "2" in the gray box, which also won't have quotes.

===========================================================

Explanation:

We'll use the first hint. Note the pattern of sin cos +-  cos sin which matches (somewhat) with the original expression.

Specifically, we'll use this identity

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In this case, A = 3x and B = x

So,

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

sin(A)cos(B) - cos(A)sin(B) = sin(A - B)

sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)

sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)

plzz solve the question ​

Answers

Answer:

a.8x^2+18x+9

8x^2+(9+2)x+9

8x^2+2x+9x+9

2x(4x+1)+9(x+1)

(2X+9)+(4x+1)+(x+1)

24)
12
21
X
84
91
28

Answers

Answer:

13

Step-by-step explanation:

12×7 = 84,

so the scale ratio is 1/7

now 91×1/7

= 91/7

= 13

__________________________________________________________________________________



__________________________________________________________________________________


_________________________________________________________________________________

Answers

Answer:

wow

Step-by-step explanation:

very interesting

2/5 as a decimal show how you got the answer

Answers

Answer:

0.4

Step-by-step explanation:

To convert a fraction into a decimal, simply divide the numerator by the denominator.

2 ÷ 5= 0.4

I hope this helps you.

Answer:

.4

Step-by-step explanation:

2/5

Multiply by 2/2

2/5 *2/2

4/10

.4


Determine what fraction of the square is shaded
Explain your reason

Answers

Answer:

is the picture moving or am I tripping

Step-by-step explanation:

I think 1/4

Sonia finished the 200-meter dash in 26.12 seconds. Gladys finished the 200-meter dash 1.08 seconds
faster than Sonia. How long did it take Gladys to run the 200-meter dash?
O 25.04 seconds
O 26.20 seconds
O 27.04 seconds
O 27.20 seconds

Answers

Answer:

25.04

Step-by-step explanation:

26.12-1.08

=25.04

Answer:

25.04

Step-by-step explanation:

For this problem we have to use subtraction

If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time

So we get 25.04

Hope this helps! :D

15 lbs of meat will be divided into portions of 1/4 lb each. How many portions can be made?
PLZZ ANSWER

Answers

since it is being divided into a quarter of a pound each, that means 4 portions can be made for each pound

so 15x4=60

60 portions can be made

If Greg can do a job in 6 hours, and pepper can do that same job in 5 hours, how long will it take to complete the job if they work together

Answers

5 hours and 30 minutes ya que ambos trabajaran la mitad del trabajo

I need help with this one

Answers

Factors always multiply each other.

The only option that multiplies something is (y^3 + 3)
So the answer is B.

if tanA=1/3, tanB=-1/2, find the value of A+B

Answers

hope it helps you.........

Cavenger of 92 miles in 2 2/3 hours if he drove a constant rate how far did he travel in one hour enter your answer as a whole number proper fraction or mixed number in simplest form

Answers

Answer:

34 1/2 miles

Step-by-step explanation:

92 miles = 2 2/3 hours

x miles = 1 hour

92 ÷ 2 2/3 = 34.5

34.5 x 1 = 34.5

34.5 miles = 1 hour

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A car uses 8 litres of gasoline to travel 160 km. How much gasoline will the car use to travel 400 km?

Answers

Answer:

20 liters of gasoline

Step-by-step explanation:

Create a proportion where x is the amount of gasoline needed to travel 400 km:

[tex]\frac{8}{160}[/tex] = [tex]\frac{x}{400}[/tex]

Cross multiply and solve for x:

160x = 3200

x = 20

So, the car will use 20 liters of gasoline to travel 400 km.

Answer:

The car will use 20 liters of gas

Step-by-step explanation:

160KM/8L = 20KM per liter

400/20 = 20

a right triangle has a non hypotenuse side length of 45" and the hypotenuse measures 53". What is the length of the other non-hypotenuse side?

Answers

Answer:

28"

Step-by-step explanation:

the length of the other non-hypotenuse side =

√(53² - 45²) =√(2809-2025) =√784 = 28"

B=45H=53

Using Pythagorean theorem

[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \rm\longmapsto P^2=53^2-45^2[/tex]

[tex]\\ \rm\longmapsto P^2=2809-2025[/tex]

[tex]\\ \rm\longmapsto P^2=784[/tex]

[tex]\\ \rm\longmapsto P=\sqrt{784}[/tex]

[tex]\\ \rm\longmapsto P=28[/tex]

Eexperts can you in step by step none is helping me plz​

Answers

Answer:

hope this help you

God bless you

an odd interger can be represented by the expression n+ 2 where n is any odd integer find three consecutive odd intergerss that have a sum of - 51

Answers

Answer:

-15,-13,-11

n + (n+2) + (n+4) = -51

3n + 6 = -51

3n = -57

n = -19

-19,-17,-15

Step-by-step explanation:

What is the length of YZ?

Select the best answer from the choices provided.
A.4
B.4.58
C. 5.29
D.10

Answers

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

Please help basic Geomerty question!

Answers

Answer:

Point B :(6, 7)

Step-by-step explanation:

Point B:(x, y)

1= - 4+x/2

2= - 4+x

x=6

7.5= 8+y/2

15= 8+y

y=7

Help!!!!
B=
P=
H=
LA=
SA=
V=

Answers

Answer:

Given a cube with the side of 7 in

Base area:

B = a² = 7² = 49 in²

Perimeter:

P = 4a = 4*7 = 28 in

Height:

H = a = 7 in

Lateral area:

LA = 4a² = 4*49 = 196 in²

Surface area:

SA = 6a² = 6*49 = 294 in²

Volume:

V = a³ = 7³ = 343 in³
Side=a=7inArea of base:-

[tex]\\ \sf\longmapsto a^2=7^2=49in^2[/tex]

Perimeter :-

[tex]\\ \sf\longmapsto 4a=4(7)=28in[/tex]

Height:-

As its a cube height=side=7in

Lateral surface area :-

[tex]\\ \sf\longmapsto 4a^2=4(7^2)=4(49)=196in^2[/tex]

Total Surface Area:-

[tex]\\ \sf\longmapsto 6a^2=6(7^2)=6(49)=294in^2[/tex]

Volume:-

[tex]\\ \sf\longmapsto a^3=7^3=343in^3[/tex]

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

[tex]y=-6x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Given the graph, we determine which points we could use. For example, we could use the two points [tex](0,2)[/tex] and [tex](1,-4)[/tex]:

[tex]m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6[/tex]

Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-6x+b[/tex]

2) Determine the y-intercept (b)

Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into [tex]y=-6x+b[/tex]:

[tex]y=-6x+2[/tex]

I hope this helps!

Pablo works as a tutor and gets paid 6 an hour complete the table and graph to showthis relationship

Answers

Answer:  Total Pay = 6X

Step-by-step explanation:  This assunes the question wants to know how to calculate Pablo's earning for a given tutoring time.

Pablo's rate is $6/hr.  Set X to the number of hours of tutoring.  Pablo's total pay would be:

Total Pay = 6X

A car at a red light accelerates for 5 seconds and is now travelling 25 m/s. What was the car’s acceleration?

Answers

Answer:

5 m/s²

Step-by-step explanation:

t (time) = 5 s

u (initial velocity) = 0m/s

v (final velocity) = 25m/s

a = (v-u)/t

a = (25-0)/5

a = 25/5

a = 5 m/s²

Other Questions
Into how many types is qbasic statement classified? Ok i need help this is For a lot of my grade so PLEASE ILL GIVE BRAINLY how many litters is in a gallon why is setting a narrative *It is our duty to follow the social rules. explain? In a party of 60 people, 35 had vanilla ice-cream, 35 had chocolate ice-cream. All the people has at least one ice cream then how many of them had i) both vanilla and chocolate ice-cream ii) only Vanilla ice-cream iii) Only chocolate ice-cream Who was the British politician who argued against the Stamp Act in parliament? How to convert 2.37 l tp dl? How many of the 320 million Americans would you predict wear glasses?Using table 2 SURELY SOMEONE HELP its urgent plllss Ill brainlist u/5 star!!! answer the ones u know. :) You join an aerobics class at the local gym. Thecost is $3 per class plus $10 for the initial mem-bership fee.17. Write an equation that shows the relationshipbetween the number of classes n you attendand the amount you pay p.18. Evaluate the equation for n = 1, 2, 5, 8, and10. Organize your results in an input-outputtable.19. Draw a line graph to represent the data in theinput-output table. about Gehendra shumsher life how is making your own lip balm effective ? Determine whether the following statement is true or false and why. Variation caused by the environment is not heritable, so it is not subject to natural selection.A. TrueB. False, it should read Variation caused by the environment is heritable, so it is subject to natural selection.C. False, it should read Variation caused by the environment is not heritable, so it is subject to natural selection.D. False, it should read Variation caused by the environment is heritable, so it is not subject to natural selection. 3 Remplacez les mots souligns par les pronoms personnels (D )( a) Marianne a achet des disques.( b ) Il a racont les histoires ses parents.(c ) Je vais au thtre.(d) Cest Marie qui veut accompagner son pre.(e ) Je passerai le week-end avec ma mre.4 Compltez avec ladjectif ou pronom possessif (E)( la mienne, , les vtres, la tienne, du notre, aux tiens )(a) Jai tlphon mon amie . As-tu appel .........(b) Nous invitons nos amis et vous invitez........(c) Nicole naime pas sa jupe mais jaime bien.......(d) Il est satisfait de son progrs et nous sommes satisfaits......(e ) Jacques va souvent ses oncles. Vas-tu souvent ...... ? The highest and lowest temperatures of Town X were 4C and -18C respectively. Find the difference between these two temperatures. (b) The lowest temperature recorded in Town Y was 12C higher than -18C. Find the lowest temperature recorded in Town Y. What are some ways to evaluate if a source is reliable, valid, and credible? List at least three criteria in three sentences. Which of the following is a simple sentence?A. Kirk wanted to go to the store, but his car would not start.B. Going higher and higher.C. Hidden under a rock.D. It is important to study. 4 + 6 x 2 = 4 + 12True or False Alicia has 8 more dollars than Fred. Altogether, Alicia and Fred have 26. dollars. Let "f" represent the amount of money, in dollars, that Fred has. Use "f" to write an expression that represents the amount of money that Fred has.Use f to write an expression that represents the amount of money that Alicia has.Write de equation to represent the problem situation Solve your equitation showing each step of the solution Based on your solution to your equation, state how much money Fred has Based on your solution to your equation, state how much money Alicia has