Mathematics College

Solve the equation

1/2 k + 2 = 5 + 5/6 k

a. 2 1/4
b. -9
c. 9
d. -21

Please select the best answer from the choices provided​

Answers

Answer 1

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Answer 2

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Related Questions

Help me out real fast pleaseeeeeeee

Answers

Answer:

25/6 = 4 1/6

Step-by-step explanation:

what you do is 5/6 times 5 i am pretty sure this is right

Answer:

B. 4 1/6

Step-by-step explanation:

1. Identify your key factors:

Terrance: 5

Brother: 5/6

2. Let's make them both fractions:

T: 30/6  B: 5/6

3. Now subtract the difference:

30/6-5/6

25/6

4. Simplify:

4 1/6

Merry Christmas please help

Answers

Answer:

A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence W

A construction company bought 673.718 kilograms of gravel and 140.91 kilograms of sand. How many kilograms of material did the company buy in all?

Answers

Answer:

814.628 kg

Step-by-step explanation:

We are finding the total number of kilograms, so we must add it all together.

673.718 + 140.91 = 814.628 kg in all

How can I find b and c ?

Answers

Step-by-step explanation:

a=binod b=binod c= binod

help please! 16 points

Answers

Answer:

3

Step-by-step explanation:

divide the top number by the bottom to always find the constant of proportionality :D

Answer:

3

Step-by-step explanation:

y is being multiplied by 3  to get the x values. Hope this helped you!! Give brainliest.

Which statement best describes the relationship between the two cylinders shown below? (Use 3.14 for π.)



The volume of the cylinder on the left is greater.
The volume of the cylinder on the right is greater.
The volumes are equal.

Answers

Answer:

The volume of the cylinder on the right is greater. for sure :)

Step-by-step explanation:



Find the Lateral Area
A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?

Answers

Answer:

? please explain

Step-by-step explanation:

Answer:128 I think is the answer

Step-by-step explanation:

Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.

Answers

Answer:The answer is C....

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A factory is able to make 99 televisions in 3 hours. What is the constant of proportionality?​

Answers

Answer: 33 televisions in 1 hour

Step-by-step explanation:

99/3=33

Answer:

33 TVs IN 1 HR

Step-by-step explanation:

TRUST ME

Esteban has $100 in bills. He has 22 bills total and each of them is either a $10 bill or a $2 bill. How many $10 bills does Esteban have?

Answers

This one would be 3,078

Your velocity is 13 feet per second. Are you moving up or down

Answers

Answer:up

Step-by-step explanation:...

Answer:

U are moving up

Step-by-step explanation:

Velocity is the speed of something in a given direction so.... since your velocity is 13 feet per second u are therefore moving up.Might sound confusing but i'm sure that is the answer

The diagram represents the enlargement of a rectangle by using a scale factor of 6.

A rectangle has a length of 30 feet and width of 6 feet.


What are the dimensions of the original rectangle?

Answers

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

Which expression would the model be most helpful in solving?

An area model has 5 shaded parts and 1 unshaded part.

Answers

This question is awfully vague without any images of the equation to back it up, sorry

Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t months is given by the equation C=45t+100. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.

Answer:

y intercept is 100

which represents the one-time joining fee

Step-by-step explanation:

a number that can be written as a fraction of two integers is called ___ number. it has decimal presentation that termite or repeats

Answers

Answer:

it is called an irrational number

Step-by-step explanation:

I think that this is a fact answer, so I don't know how to explain it

Ehehejejrjrjejejrjrjtjtjrjrje

Answers

Answer:

?

Step-by-step explanation:

shvwhehdjdjdnbddvbxnxjjxjdjdnbdnekskdjdjnebeeekekkenenennenemskkddkejennene hope this helps :3

given h (x) =2x+5, find h (-6)

Answers

h(-6) = 2(-6) + 5
h(-6) = -12 + 5
Solution: h(-6) = -7

Draw lines to match each fraction,
decimal, or percent on the right to an
equivalent number on the left.

Answers

Answer:

0.45 = 9/20

38% = 19/50

27/50 = 0.54

0.68 = 17/25

80% = 4/5

Step-by-step explanation:

Mr. Rodriguez purchased 46 pencils to give to the students he tutors. He has 6 students that he tutors.
How many pencils will each student get if Mr. Rodriguez gives each one the same number of pencils?

Answers

Answer:

You have to divide 46 by 6. thats all I know sorry

Step-by-step explanation:

Each student gets 7 pencils.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, it is given that :

Mr. Rodriguez purchased 46 pencils to give to the students he tutors

and number of students = 6

Therefore, to find number of pencils each student get we divide 46 with 6 :

pencils will each student get = 46/6

pencils will each student get ≈ 7

as each student get equal number of pencils then 4 pencils are left with Mr. Rodriguez after giving 42 pencils to the students.

Therefore, each student gets 7 pencils.

Read more about mathematics operations at:

https://brainly.com/question/1512595

#SPJ2

what is the answer to 5/6 times 4/3 =

Answers

Answer:

[tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Answer: 10/9 or 1.111111111

Step-by-step explanation:

A full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm


Answers

9514 1404 393

Answer:

  33.5 minutes

Step-by-step explanation:

There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.

Using the first method, we have ...

  335 -5t = 5t

  335 = 10t

  335/10 = 33.5 = t

It takes 33.5 minutes for the cans to have the same amount.

Factor completely.
x3 + x2 – 25x – 25
what’s the answer

Answers

Answer:

(x+1)(x+5)(x-5)

Step-by-step explanation:

what is 1.875 as fraction

Answers

Answer:

[tex]1\frac{7}{8}[/tex] or 15/8, 15/8 is an improper fraction

Step-by-step explanation:

or 15/8, but 15/8 is an improper fraction

Someone pls help me :((

Answers

Answer:

They are both correct.

Step-by-step explanation:

4(-7)(-1) equals 28. 4(7) is also equal to 28, meaning that Josh is correct. 2 negatives equals a positive, so (-28)(-1) will also be 28. This means Evangelina is also correct.

A quantity of food would last a family of 5 for 21days. How long would the same quantity last a family of 7 if they all eat at the same rate?

Answers

15 days
5x21=105 the amount of food they have
105/7=15 days of food for a family of 7

If there are 2.54 centimeters in an inch and 12 inches in a foot . How many centimeters are in 3 feet ?

Answers

Answer - 91.44

Step-by-step explanation:

3 feet = 36 inches

1 inch = 2.54 centimeters

2.54 x 36 = 91.44

Please help pleaseeeeeeeeeeeeeeee

Answers

Answer:

y=2x+5

Step-by-step explanation:

This is a proportional relationship.The other one's are not true.

PLS Mark brainlist

Hope this helps:)

The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?

Answers

Answer:

3 1/24

Step-by-step explanation:

to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).

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[tex]7 \frac{1}{3} + n = 10 \frac{3}{8} \\ [/tex]

[tex] \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ [/tex]

[tex] \frac{22}{3} + n = \frac{83}{8} \\ [/tex]

Subtract sides 22 / 3

[tex] - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ [/tex]

[tex]n = \frac{83}{8} - \frac{22}{3} \\ [/tex]

[tex]n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ [/tex]

[tex]n = \frac{249}{24} - \frac{176}{24} \\ [/tex]

[tex]n = \frac{249 - 176}{24} \\ [/tex]

[tex]n = \frac{73}{24} \\ [/tex]

[tex]n = \frac{72 + 1}{24} \\ [/tex]

[tex]n = 3 \frac{1}{24} \\ [/tex]

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I NEED HELP ASAP PLS

Answers

Answer:

Pretty sure it's D. y=2/1x

Answer:

y= 2/1 x

Step-by-step explanation:

Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1

Please answer this as quick as you can

Answers

Answer:

Step-by-step explanation:

3 and 2 for what i see with the question  i don't know  if the blue is blocking a tick but i think its 2 and 3 tell me if there  a tick on where the blue started so then i might change my answer

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