[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
find x please

Answers

Answer 1

Answer:

x=21/2

Step-by-step explanation:

5(x+3)=6(12+x/2)

Distribute the 5.

5x+15=6(12+x/2)

Reduce the numbers with the greatest common factor 2.

5x+15=3(12+x)

Distribute the 3.

5x+15=36+3x

Move the variable to the left-hand side and change the sign.

5x+15-3x=36

Collect like terms.

2x=36-15

2x=21

Divide 2 on both sides

x=21/2

Hope this helps :)

Answer 2

Answer:

x = 10.5

Step-by-step explanation:

5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides

5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )

2x + 15 = 36 ( subtract 15 from both sides )

2x = 21 ( divide both sides by 2 )

x = 10.5


Related Questions

write the value of (2+root3)(2-root3)

Answers

Answer: 1

Step-by-step explanation: use foil and get 4-3.

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3



(2, [?]); ( ), ( )

Answers

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?

Answers

Answer:

72%

Step-by-step explanation:

36/50 = 0.72

0.72 x 100 = 72%

112781+89809030248234812394124-8

Answers

Answer:

See picture

Step-by-step explanation:

My calculator only allows numbers up to 15 digitss-

djsjdjcvfb

Here

Work

Picture

I just want the points so please tell me I didn't just waste my time :'D

What is its inverse? F= {5,-1),(4,8),(6,8),(4,9)

Answers

Answer:

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

Verify (f ∘ f−1) (x) = x

(f ∘ f−1) (x) = f [f −1 (x)]

= f (x/3 + 2/3)

⟹ 3(x/3 + 2/3) – 2

⟹ x + 2 – 2

= x

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

m(gradient) =y2-y1/x2-x1

=8-(-1) /4-5

=8+1/-1

=9/-1

=-9

y-y1=m(x-x1)

y-(-1)=-9(x-5)

y+1=-9x+45

y=9x+45-1

y=9x+44(rule)

Inverse>y+44=9x

y+44/9=9x/9

x=y+44/9

Therefore inverse is y=x+44/9

Jamie and Raul both work at the Pizza House. Together, they work a total of 15 hours per week. Raul works 3 more than twice the hours as Jamie. How many hours does Jamie work per week?



Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

List the facts phrase by phrase.

Total = 15 hours

Let Raul's hours = x

Let Jamie's hours = y

Total = x + y = 15

x = 3 + 2y

From total, find x

x+ y = 15                    Subtract y from both sides.

x = 15 - y                   Put the value for x in x = 3+ 2y

3 + 2y = 15 - y           Subtract 3 from both sides

2y = 15 - 3-y            Combine

2y = 12 - y                Add y to both sides.

2y + y = 12                  Combine

3y = 12

y =  12 / 3

y = 4

Jamie worked 4 hours

Raul worked 11

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4

Answers

Hope helps!,,,,,,,!,,,,

Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them

Answers

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

2x+3y=15
x+y=6
work out the values of x and y.

Answers

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]

Somebody, please help me with this MATH question.

Answers

Answer: F(x)= 4,800(1.5)^X


Evaluate each question below

Answers

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??

Answers

Answer:

See answer below.

Step-by-step explanation:

LA = π rl

1st find l    

The radius is 5" and the height is 12"  l = ?

  h and the r is the two legs in the right triangle when drawn in a cone.

Use a²  + b² = c²     ⇔ h² + r² = l²

                                    12² + 5²  = l²

                                   144 + 25 = l²

                                     169 = l²

                                    [tex]\sqrt{169} = l[/tex]

                                        13 = l

Formula for LA = π r l

                  LA = 3.14 × 5 ×13  or with a calculator   LA = π × 5 × 13

                   LA = 204.1  sq.in                                   LA  = 204.2035225 sq. in

I use 3.14 = for π  but you know what the teacher uses in class.

The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.

Answers

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

100 POINTS

Given Point P(3,4), what is the resulting point after the following transformations?

Translate 3 up and 2 left
Rotation 180° around origin
Reflection over y-axis

Answers

Answer:

(1, -7)

Step-by-step explanation:

P(3,4)

3 up ---> y = 4 + 3 = 7

2 left ----> x = 3 - 2 = 1

new point (1, 7)

after 180 rotation around origin

point is (-1, -7)

now reflection over y-axis

(1, -7)

Answer:

[tex](1,-7)[/tex]

Step-by-step explanation:

Refer to the image below

the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?


A) organize the problem and find the question

B) solve the problem and change your strategy if necessary

C) write the facts, organize your thoughts and define your strategy

D) organize the step and underline the question​

Answers

that's the answer Just look at the picture's

A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?

Answers

Answer:

Yes

Step-by-step explanation: All of these winnings become part of his gross income.

this graph shows how much lisa earns babysitting compared with thge number of hours she works

Answers

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

Find the 60th term of the arithmetic sequence -10, 8, 26,

Answers

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052

Suppose that the function h is defined, for all real numbers, as follows

Answers

h(-3) = 1/4(-3) - 2 = -2.75
h(-1) = -((-1) - 1)^2 + 3 = -1
h(0) = -((0) - 1)^2 + 3 = 2

Jeriel decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?

Answers

A catfish with a length of 33 inches would weigh 30 pounds.

Linear equation

A linear equation is in the form of:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the catfish weight with x inches length

From the line of best, it passes through (20, 4) and (23, 10), hence:

y - 4 = [(10 - 4)/(23 - 20)](x - 20)

y = 2x - 36

For a length of 33 inches:

y = 2(33) - 36 = 30 pounds

A catfish with a length of 33 inches would weigh 30 pounds.

Find out more on Linear equation at: https://brainly.com/question/14323743

Which is the correct quotient with a letter as the remainder?

Answers

Answer:

A

Step-by-step explanation:

876 divided by 43 = 20

and the remainder is 16

in the case of other options, the quotients are correct but the remainders are wrong.

Therefore, A is the option with both correct quotient and remainder.

How do you write 7460 in standard form?

Answers

Answer:

7460

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7460

Answer:

a = 7.46

7.46 x 103

103 = 1,000 x 7.46 = 7,460

here your answer

hope it helps you

0(-7) helppppppppppppppppppppp

Answers

Answer:

0

Step-by-step explanation:

anything multuplied by 0 is 0

Question is atttached below

Answers

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

Does the following relationship represent a function?

Answers

No the relationship is not a function

solve for g.

5.1g = 35.7

Answers

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

in figure below, lines r and s are parallel. If the m<1=47° , find:

Answers

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

what is the proportional relationship represented by this table?

Answers

what?? what table ???

PLEASE ANSWER NOWWWWW
340816.326531

Answers

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

what is the equation of a line when m=-7 and b=-8

Answers

Without seeing the equation i can assume it would be -7 (sign) -8 or -8 (sign) -7, -7/-8, -8/-7, and so on and so forth.
Other Questions
-4(x+9)+44=16-5xsolve the equation how did John Winthrop change the government for massachusetts? a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a. Given: AB is perpendicular to BD. Find m For each orders pairs, determine weather it is a solution to x=0A) (x,y)= (0,4)B) (x,y)= (-2,-7)C) (x,y)= (-3,0) D) (x,y)= (0,-5) I need sombody to check my answer because I dont have PAPER hcan some one help me Countries in which people live on less than $1,000 a year are generally concentrated in what region of the world PLZ HELP THIS IS DUE IN A FEW!! IF YOU'RE RLLY GOOD AT WRITING, PLZ ANSWER THESE QUESTIONS. I'M STRESSED LIKE CRAZY! ANSWER IN COMPLETE RESPONSES!1. Given whats happened so far, do you think Saeng will pass the test? Give reasons for your predictions and explain.2. After this experience what lesson about life does Saeng learn? Explain.Use text evidence and the response should be about a paragraph in length.3. How do you think Saengs family will react to her not passing her driving test and not being the driver for the family? Use text evidence and the response should be about a paragraph in length.4. What do you think will happen next in the story? Will Saeng eventually get her drivers license? Explain why you think the way you do. Use text evidence and the response should be about a paragraph in length.every answer must be 1 PARAGRAPH OR MORE. no random links or files. The Kurds are different from every other Middle East EthnicGroup because?They live in IranThey do not have their own sovereign nationThey do not have their own languageThey live in Turkey The map above shows the water and land routes taken by the __________ on the Trail of Tears.A.SeminoleB.CreekC.CherokeeD.Arapaho Your Headteacher is considering using the internet to make a link with a school in another country Here are some comments from your friends about thissuggestion: Write an article for your school magazine giving your views. Yourarticle should be between 150 and 200 words long. The comments above maygive you some ideas, but you are free to use any ideas of your own. You willreceive up to 8 marks for the content of your article, and up to 8 marks for thestyle and accuracy of your language.We could make new friends and learn about life in another country.I already have enough friends. I dont need any more.We could find out if other teenagers have the same interests and ambitions as wehave.We already have too much school work to do. We havent got time to write to otherpeople. what is the most popular medication for high blood pressure? this is for a sketch what is your least favorite food? english 7 learning task 6 How do the isotopes hydrogen-2 and hydrogen-3 differ?A. Hydrogen-2 has three protons.B. Hydrogen-2 has no protons.C. Hydrogen-3 has one more electron than hydrogen -2.D. Hydrogen-3 has two neutrons. PLS SOMEONE HELP someone please help mehow is identity transmitted through education? Mingli has some pens. Has Mingli any pens? Above making question is it correct? Which of the following is not the benefit of recycling?. Lan likes eating junk food............... her sitter likes vegetables and fishA.or B.so C.but D.and