Solve for k in the equation 12 = 4(k - 6)

Answers

Answer 1

Answer:

12 = 4 (k - 6) (use the distributive property to get rid of the parentheses)

12 = 4k -24 (add 24 to both sides to isolate the k-term)

36 = 4k (divide both sides by 4 to get k all alone)

k = 9 (your answer)

Step-by-step explanation:

I hope this helped :))


Related Questions

Pleaseee helpppp meeeeeee

Answers

Answer:

measure of Arc FJ is 80 degrees.

Step-by-step explanation:

Key skills: High School Geometry, One Variable Equations, Angles

1)Let's look at the diagram thoroughly

2) The 2 thing we can get are:

Angle HKG and Angle IKJ are vertical angles (which means they are congruent). Angle HKG + Angle GKF + Angle FKJ = 180 (Since they all form a straight angle - A straight angle is 180 degrees in measure.)

3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)

We can then solve for x by making the equation: 3x-22=x+10

4) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22

3x-x= 2x           10+22=32

2x=32

Divide by 2 on both sides and x=16.

5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ =  180

What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ

6) We can make an equation: x+10+74+Angle FKJ=180

Solve this --> x=16, so substitute it in16 + 10 + 74 + Angle FKJ=180100 + Angle FKJ = 180Angle FKJ = 80 degrees

If Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.

Hope you understood! Have a Nice Day! :D

Luke had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?

Answers

Answer:

4.85 left

Step-by-step explanation:

Answer:

$4.85

Step-by-step explanation:

Amount John has = $8.50 (Given)

Find amount left after spending on sweet

Sweet = $1.25

Amount left = $8.50 - $1.25 = $7.25

Find amount left after giving to 2 friends:

First friend = $1.20

Second friends = $1.20 x 2 = $2.40

$7.25 - $2.40 = $4.85

Answer: $4.85

PLEASE HELP ME ASAP PLEASE

Carol and Diane are axe throwers. Carol hits the board on 44% of her throws, while Diane hits the board on 42% of her throws. Suppose that Carol throws 25 axes at the board and Diane throws 28. Let C = the proportion of axes that hit the board when Carol throws and D = the proportion of axes that hit the board when Diane throws. What is the probability that Diane’s proportion of axes hitting the board is higher than Carol’s?

0.442
0.456
0.491
0.558​

Answers

It’s the last one I think sorry if it’s nice

Answer:

0.442

Step-by-step explanation:

took the quiz

Line q passes through the points (4, 6) and (0, 6). What is the equation for the line which is perpendicular to q and passes through the point (–2, 3)?

Answers

Answer:

        x = -2

Step-by-step explanation:

The slope of q:  

                       [tex]m_q=\dfrac{6-6}{4-6}=0[/tex]

It means the line q is parallel to X-axis. Therefore any line perpendicular to q is parallel to Y-axis.

Any line parallel to Y-axis is:  x = x₀, where x₀ is the x-coordinate of any point the line passing through.

(-2, 3)    ⇒   x₀ = -2

help will give Brainliest.
Does this expression use the distributive property?
(6x + 3) + (5x - 4)​

Answers

no because you are not distributing numbers that multiply with each other and form new expressions

Answer:

hm I'm not sure but you solve it like this

Step-by-step explanation:

(6x + 3) + (5x - 4)

remove unnecessary parenthesis

6x+3+(5x-4)

collect like terms

11x+3-4

answer :

11x-1

15. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have produced that same final result in terms of the position of the person and the direction the person faces?
A. reflection over the north-south axis

B. rotation

C. translation

D. reflection over the west-east axis\

Answers

Answer:

10 paces East

Step-by-step explanation:

East 20 and West 25 and East 15 = 10 East

10 north and 10 south cancel each other out

Can someone help ????

Answers

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

KLMN ~ STUV

[tex]\frac{ST}{KL} = \frac{TU}{LM} =\frac{UV}{MN} =\frac{VS}{NK} =\frac{12}{6} = 2[/tex]

The scale factor of the dilation is 2

Can you guys help me out please

Answers

the answer is 94 degrees

and the work is:

540 = 6x-6+4x-10+5x-11+5x+13+4x+2

combine like terms:

540 = 24x-12
23=x

then plug 23 in for x to get angle p:

4*23+2
92+2
94

Can someone please help me with this?

Answers

Answer:

A

Step-by-step explanation:

Write the quadratic equation in standard form please.
-x^2+7-6x=2

Answers

Answer:

Step-by-step explanation:

-x^2 - 6x + 5=0

25 POINTS. Radar used microwaved yo check the speed of cars. If a speed of the microwaves is 2 000 000 m/ s and the wavelength is 0.0345m calculate the frequency.

Answers

Answer: [tex]5.79\times 10^{7}\ \text{Hz}[/tex]

Step-by-step explanation:

Given

Speed of radar wave [tex]v=2\times10^{6}\ m/s[/tex]

the wavelength of radar wave [tex]\lambda =0.0345\ m[/tex]

We know, [tex]velocity=frequency\times wavelength[/tex]

[tex]frequency=\dfrac{\text{velocity}}{\text{wavelength}}[/tex]

[tex]frequency=\dfrac{2\times10^6}{3.45\times10^{-2}}[/tex]

[tex]frequency=5.797\times 10^{7}\ Hz[/tex]

the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​

Answers

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Jaclyn is training for a long bike ride. Right now, her longest ride is miles. She plans to add miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after weeks. Do not include units in your answer.

Answers

Values in the question are missing ; we could get some input for the missing values and solve the question asked :

Jaclyn is training for a long bike ride. Right now, her longest ride is 36 miles. She plans to add 2 miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after 6 weeks. Do not include units in your answer.

Answer:

48 miles

Step-by-step explanation:

Given that:

Longest ride (initial) = 36 miles

Additional miles per week = 2 miles

y(x) = mx + c

c = initial ride ; m = rate (increase in miles per week) ; x = number of miles per week

Longest ride after 6 weeks will be :

[Longest ride (initial) + additional miles per week * number of weeks]

Longest ride after 6 weeks :

36 miles + (2 * 6)

36 + 12

48 miles after 6 weeks

Austin mixed 1/3 bag of cement for 3 fence posts. How much cement did
he use for each fence ,have another question

Answers

I think it is 1/9 for each whole

Express the ratio as a fraction in simplest form.

Answers

Answer:

c 2/3

Step-by-step explanation:

divide both numerator and denominator by 7

How many 2/5 ounce servings are in 3 4/7 ounces?

Answers

It’s 2 your welcome e no ah

I really need help! I WILL MARK BRAINLIEST

Answers

Answer:

I can help a little y = the part your trying to find or the x which is the same thing so y = [x - 3] + 2 sorry I wasn't mush help.

Answer:

B

Step by Step Answer:

If you translate the above equation across the y-axis you will get:

[tex]y = - |x - 3|[/tex]

Distribute the negative sign into the absolute value bars and get:

[tex]y = |x + 3| [/tex]

Sharon watched 1/2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/3 of the movie left to watch. How much of the movie did Sharon watch at night?

Answers

Answer:

Movie she watch at night = 1/6 Part

Step-by-step explanation:

Given:

Watched movie in morning = 1/2

Movie Left to watch = 1/3

Find:

Movie she watch at night

Computation:

Movie she watch at night = 1 - Watched movie in morning - Movie Left to watch

Movie she watch at night = 1 - 1/2 - 1/3

By taking L.C.M

Movie she watch at night = (6-3-2) / 6

Movie she watch at night = 1/6 Part

Evaluate the following function f(x) =-12x-23 at x=9*

Answers

Answer:

f(9) = -131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -12x - 23

x = 9

Step 2: Evaluate

Substitute:                    f(9) = -12(9) - 23Multiply:                        f(9) = -108 - 23Subtract:                       f(9) = -131

Please help!! I’ll mark brainliest!

Answers

Answer:

Just from looking at the picture, I'm assuming that we're trying to find the terms that are like to the terms in the blue section.

1. 8c since both are in terms of c

2. 7t since both are in terms of t

3. 8r since both are in terms of r

4. -4n since both are in terms of n

5. xy since both are in terms of xy

6. 16 since both don't have any variables

7. 4sp since both are in terms of sp

Step-by-step explanation:

Answer:

8r and -2r

xy and 6xy

8c and 19c

16 and 97

4sp and sp

7t and 13t

-4n and 10n  

Step-by-step explanation:

what is the point-slope form of a line that has a slope of 5 and passes through the point (3,-4)

Answers

Y=mx+b so it should be y=3x-4
y+4=5(x-3) is the correct answer. Please give brainliest

write the sentence as an inequality. A number x is greater than 3.

Answers

Answer:

Step-by-step explanation:

As x is bigger than the number the 3.

x > 3 (The answer) ✔️

This symbol ‘>’ means ‘greater than’

So x is greater than 3

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

x=5

Step-by-step explanation:

15-3x=0

15-3*5=0

15-15=0

x is 5 because 15 - 3(5) is 0

Which of the following will give the same answer as 2456 x 992?

a. 2456 x ( 900 - 8 )
b. 2456 x ( 900 + 90 + 2 )
c. 2456 x ( 99 + 2 )
d. 2456 x ( 900 + 8 )
pls answer asap

Answers

Answer:

b. 2456 * ( 900 + 90 + 2) will give the same answer as 2456 * 992

Hope it will help :)

Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeters long in the drawing. What scale did Trevor use? 9 centimeters : meters

Answers

Answer: [tex]9\ cm\equiv 5\ m[/tex]

Step-by-step explanation:

Given

The actual length of the parking lot is 75 m

length in the drawing is 135 cm

Here, 75 m is equivalent to 135 cm

Using unitary method

[tex]75\ m\equiv 135\ cm[/tex]

[tex]15\ m\equiv 27\ cm[/tex]

[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]

a graphic artist has a picture that is 5 in by 10 in the picture needs to be in large so the larger side is 30 in the ratio of the sides lengths will remain the same how long will the shorter side be after the enlargement ​

Answers

Answer:15

Step-by-step explanation:

the ratio is 1:2 so 5 is half of 10 and if 10 becomes 30 it’s tripled so you would then have to triple 5 getting 15 , i hope this is right if not i’m sorry

Might give you Brainliest is you step by step explain how much you get the answer

Answers

Answer:

60

Step-by-step explanation:

There were 160 votes in total, and we need to figure out how much is 3/8 of it. Therefore, we need to find (3/8)*(160) (of is another word for multiply). The easiest method is to find 1/8 of 160 which is 20, and then multiply it by three to get 60, which is your answer!

I hope this helped, please give brainliest if this is correct! Thank you!

jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today?

Answers

‘Let dogs be x and cats by y

X=2y+6
X+y=96

Put 2y+6 in for x (the second equation)
2y+6+y=96

Combine like terms and simplify
3y=90
Y=30

Use the second equation to find x changing y into a number
X+30=96
X=66

The number of dogs is 66

If I’m right, can you mark me brainliest please?

I HOPE THAT YOU CAN HELP I WILL MARK BRAINLIEST

Answers

Answer:

it's answer is D

-6 , -1 ,4 , 9

Hope it will help :)❤

Determine whether GB is parallel to KA. Justify why or why not.

Answers

Answer:

Yes, GB is parallel to KA, and so are these lines parallel to each other.    I   I

Step-by-step explanation:

There are the same distance away from each other at any given point on the segments/lines.

Answer:

GB is parallel to KA

Step-by-step explanation:

If a line intersects two lines of a triangle, and creates a similar triangle, then the intersection line is parallel to the third side.

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