What is the value of k in the following equation?
2(4k + 5) + 3(3 – 3k) = 25

Answers

Answer 1

Answer:

K = - 6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(4k+5)+3(3−3k)=25

Step 1: Simplify both sides of the equation.

2(4k+5)+3(3−3k)=25

(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)

8k+10+9+−9k=25

(8k+−9k)+(10+9)=25(Combine Like Terms)

−k+19=25

−k+19=25

Step 2: Subtract 19 from both sides.

−k+19−19=25−19

−k=6

Step 3: Divide both sides by -1.


Related Questions

4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impressions of invincibility that these costumes could create. Below there is data about the severity of injury (on a scale from 0, no injury, to 100, death) for children reporting to the emergency center at hospitals and information on which superhero costumes they were wearing (Spiderman, Superman, Batman).


Spiderman Superman Batman
55 68 26
31 32 47
58 85 30
20 69 35
47 58 53
37 52 43

Compute the following descriptive statistics for each group. (30 points total)
a. Mean
b. Sample size (n) for each group
c. Standard Deviation
d. Square root of n
e. Standard error of the mean (SEM)

Answers

Answer:

[tex]Mean = 47[/tex]

[tex]n = 6[/tex]

[tex]s= 16.56[/tex]

[tex]\sqrt n = 2.45[/tex]

[tex]SEM = 11.55[/tex]

Step-by-step explanation:

Given: The above data

Solving (a): Mean of each group

Mean is calculated as:

[tex]Mean = \frac{\sum x}{N}[/tex]

[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]

[tex]Mean = \frac{846}{18}[/tex]

[tex]Mean = 47[/tex]

Solving (b): The sample size of each group

This is the number of rows in each group.

Hence:

[tex]n = 6[/tex]

Solving (c): Standard deviation (s)

This is calculated as:

[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]

So, we have:

[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]

[tex]s= \sqrt{\frac{4936}{18}}[/tex]

[tex]s= \sqrt{274.22}[/tex]

[tex]s= 16.56[/tex]

Solving (d): Square root of n

[tex]\sqrt n = \sqrt 6[/tex]

[tex]\sqrt n = 2.45[/tex]

Solving (e): SEM

This is calculated as:

[tex]SEM = \frac{s}{\sqrt N}[/tex]

[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]

[tex]SEM = \frac{47}{4.07}[/tex]

[tex]SEM = 11.55[/tex]

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?

Answers

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

2/7 of 49
fractions ​

Answers

Answer:

14

Step-by-step explanation

Help I’m doing 8th grade work

Answers

Answer:

I think B by I'm not sure

Step-by-step explanation:

I'm not good with this subject

A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?

Answers

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

Elis, Raine and Avery buy a boat for $33 000.
Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?

Answers

Amount Avery paid: 32,000-12,000-6,000 = 15,000

Divide portion she paid by total cost:

15,000/33,000

Simplify to 15/33

Multiply the amount the boat was sold for by her portion:

25,300 x 15/33 = 11,500

Subtract the amount she got from the amount she paid:

15,000 - 11,500 = 3,500

She lost $3,500

Answer:

yes

Step-by-step explanation:

yes!

6 ft = ____ yd

6 ft = 6 x 1 ft

= 6 x ____ yd

= ____ yd

Answers

Answer:

6 ft = 2 yd

6 ft = 6 x 1 ft

= 6 x 2 yd

= 12 yd

What is the value of p when the expression 2(4 + x) is equivalent to 2(x + p)?

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]

P=4 I believe so most likely yes

Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make

Answers

Robert can make 21 burgers

In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3). ​

Answers

Answer:

the remaining points either be (-3,-3) or (1,2)

Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?

Answers

Answer:

Probability: 140/210= 14/21

plz help I need help on math plz help the first one get bainys its actually for my lis sis


here is my picture

Answers

Answer:

Step-by-step explanation:

1. $5

2. 50 cents

3. 25 cents

4. 3 dollars

5. 70 cents

just subtract them

How to get 10 with the numbers 7, 11, 4 and 2 in that order?

Answers

Answer:

Huh!! What is this question supposed to mean?

Help on question 5 please :))

Answers

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

b. Substitute 8x+4 for y in the first equation.

Find the volume of the triangular prism.
PLEASE HELP!

Answers

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

I thinks it’s 4.8 sorry if it’s wrong.

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

A(n) = 1 + (n – 1)(–5.7)

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

1) -4.7
4) -1.7
10) 5.7
I’m sorry if I’m wrong

Please find the circumference, will give brainliest!

Answers

Answer:

43.96

Step-by-step explanation:

Urgent!Math help!!! What’s the real answers?

Answers

Answer: you got the two right, the third is incorrect and the fourth is correct

Step-by-step explanation: I took the quiz hope I pulled some weights off your shoulders

Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm​

Answers

Answer:

12.04

Step-by-step explanation:

Formula:

a² + b² = c²

8² + 9² = c²

64 + 81 = c²

145 = c²

c = 12.04

(fractions) 3/4 + 1/5

Answers

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

x=14.28

Step-by-step explanation:

24^2+x^2=28^2, Pythagorean theorem

x^2=28^2-24^2

x^2=(28+24)(28-24)

x^2=52*4

x^2=204

x is around 14.28

Extra Points and brainliest! Question below

Answers

Answer:

14 one fourths

Step-by-step explanation:

First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!

Answer:

14 fourths

Step-by-step explanation:

Hey There!

So to solve this problem we need to divide 7/2 by 1/4

[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]

Therefore 14 fourths can go into 7/2

Help me pls i don't got a lot of time

Answers

Answer:

true

Step-by-step explanation:

I swear I know

i know it

5.5 + n = 10 please help ​

Answers

Answer:

n = 4.5

Step-by-step explanation:

10 - 5.5 = n

Answer:

I feel like its 4.5

Step-by-step explanation:

A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?

Answers

square has four sides
14x4=56

Answer:

56 cm (22.4 in)

Step-by-step explanation:

14+14+14+14=56 or 14x4=56

helpppppppppppppppppp

Answers

Answer and Step-by-step explanation:

The independent variable is m, and the dependent variable is h.

This is because you can plug in any value for m, making m NOT have to depend on any other value to become m.

With h, it needs the result of m and its other values to become the result of h. H relies/depends on the values in the equation to become a value.

#teamtrees #PAW (Plant And Water)

2/5 x 30 pls help me

Answers

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12.

the ratio of the angle measures of a pentagon is 4:5:3:8:7. what is the measure of the smallest angle. help pleasee

Answers

The measure of the smallest angle is 60

Answer:

geometry

The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest

The sum of the interior angles of a pentagon is 180(5-2) = 540º

so

4x + 5x + 3x + 8x + 7x = 540

solve for x and sub into 3x

7x2 + 4x - x2 whats the answer?!?

Answers

Answer:

14 + 2x I think

Step-by-step explanation:

Wait for more responses if needed

Answer:

[tex] {6x}^{2} + 4x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]

2) Simplify.

[tex] {6x}^{2} + 4x[/tex]

Therefor, the answer is 6x² + 4x.

Other Questions
helpppppp ill give brainliest answer if you know Bing Book Bindery has identified two activity cost pools: printing, with an activity driver of batches processed, and binding, with an activity driver of direct labor hours. For the coming quarter, total factory overhead of $140,000 is split such that 65% is allocated to printing and 35% is allocated to binding. Bing makes two types of books: hard cover and soft cover. During the quarter, it expects to produce 5,200 hard cover books and 12,000 soft cover books. Hard covers are produced in batch sizes of 100 and soft covers are produced in batch sizes of 300. A hard cover book requires 0.75 hours of direct labor, while a soft cover book requires 0.25 hours. What is the overhead allocation to soft covers for printing An online gaming company offers two different plans for unlimited access. Plan A has a one-time $27membership fee and is $6.50 a month. Plan B has a $14.50 membership fee and $9.00 a month. Write one of the equations in the system of equations.Please help Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer of the flour states that 5% or less of the bags are underweight. What is this weight?Find the z-table here.79.7 ounces80.4 ounces80.9 ounces81.3 ounces Write the equation of a line that passes through the point (1,4) and has a slope of 9. Who benefits from globalization easy answers pls (f) 0.7 - 6.32 + (-0.8) + 1.28 1. What type of transformation is this?None of theseRotationTranslationReflection2 .What type of transformation is this?None of theseTranslationRotationReflection a teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times. She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6. are the conditions for inference met?yes the conditions for infants are metno, the 10% condition is not metno, the large counts condition is not metno the rain is condition is not met In what ways are images related to thinking? Mrs. Smith cuts 1 2 of a piece of construction paper. She uses 1 6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower? In one basketball game, Zaid made 7 two-point and three-point baskets to score 17 points. Let x represent the number of two-point baskets, and y represent the number of three-point baskets. This situation can be represented by the system x+y=7 and 2x+3y=17 . How many of each type of basket did Zaid make? Enzyme and substrate concentration4.*RECALL: What is a substrate? hypothesis for drought please need help asap Calculate the area of the shape below 7.6 cm 11 cm How successful do you think Franklin D. Roosevelt was as a president? Explain. write down an example scenario of an object that has acceleration List five ways to help a person maintain fitness in their high school yearsand beyond. will give brianlyest(T or F ) Helen overturns the cradle and Mildred, the baby, falls out then Helen puts the towel doll into the cradle.the miricale worker