3(K-2)=15
How do I solve for K

Answers

Answer 1

Answer:

7

Step-by-step explanation:

step 1. divide 15 by 3

(K-2)=5

step 2. add the 2 to the 5

K=7

Answer 2

Answer: k = 7

Step-by-step explanation: Start by distributing the 3 through the parentheses on the left side of the equation.

3(k) is 3k and 3(-2) is -6.

So we have 3k - 6 = 15.

Next, isolate the k term by adding 6 to both

sides of the equation and we get 3k = 21.  

Now divide both sides by 3 and k = 7.

If you want, you can check your answer by plugging a 7

back into the original equation to see if it works.


Related Questions

A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?

Answers

Answer: 480 in^3

Step-by-step explanation:

v= l * w*h

v = 12 * 8 * 5

v=  480

An angry teacher saw her student when he was 5200 feet away and started to chase him at a speed of 28 feet per second. The student immediately started to run away at a speed of 24 feet per second. How much time will it take the teacher to catch her student?

Answers

Answer:

5200 ÷( 28 - 24)

= 5200 ÷ 4

= 1300 second

I need help with this :/ pls help

Answers

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

five whole numbers are written in order (4, 6, x, y, 10). The mean and median of the five numbers are the same. Work out the values of x and y.

Answers

Answer:

x = 7

y = 8

Step-by-step explanation:

Knowing that the mean is equal to the median, we can formulate the following equation:

⅕(4 + 6 + x + y + 10) = x

Simplifying it, we get:

y = 4x - 20

Now, we know that both x and y are between 6 and 10 and that y is greater than x;

Mathematically, we have the conditions:

6 =< x =< 10

6 =< y =< 10

y > x

If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;

This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;

Once we know this, we can find y simply by subbing it into the equation formulated previously:

y = 4(7) - 20

y = 8

Solve the following system of equations.Express your answer as an ordered pair in the format (a,b),with no spaces between the number or symbols 3x+4y=16 -4x-3y=-19

Answers

Answer:

(4,1)

Step-by-step explanation:

3x + 4y = 16

-4x - 3y = -19

4( 3x + 4y = 16)

3( -4x - 3y = -19)

Distribute

12x + 16y = 64

-12x - 9y = -57

Now subtract both equations

7y = 7

/7 on both sides

y = 1

Substitute y = 1 in one of the equations.

3x + 4y = 16

3x + 4(1) = 16

-4 on both sides

3x = 12

/3 on both sides

x = 4

Answer:

x = 4

y = 1

Choose the correct symbol.

74 21
>
<
=

Answers

It’s the greater than sign

mark has a friend named Chole how different are marks and chole DNA ?

Answers

Answer:

0.01 %  

Step-by-step explanation:

you are mountain climbing with a friend. you need to reach a ledge that is 22 feet above you

Answers

Answer:

x+22

Step-by-step explanation:

you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.

i really need somebody to help me with this question. i’m gonna fail. this is year 8 maths btw.

Answers

Answer:

Three questions for the equation 18 × y^3 :-

9y × 2y^26y^2 × 3y18 × 1y^3

hope it helps!

Triangle A B C is shown. Angle A B C is 95 degrees and angle B C A is 45 degrees. The length of A B is c and the length of B C is 3.0 centimeters. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which represents the value of c? C = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)

Answers

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

[tex]c=\dfrac{3 * \sin 45}{sin 40}[/tex]

Step-by-step explanation:

In Triangle ABC is shown.

[tex]\angle A B C=[/tex] 95 degrees

[tex]\angle B C A =[/tex] 45 degrees.

|AB|=c

|BC|=3.0 cm

[tex]\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ[/tex]

Using the Law of Sines

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}[/tex]

The correct option is B.

Answer:

B

Step-by-step explanation:

Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.

Answers

Answer:

a,b, and e

Step-by-step explanation:

i did the lesson on edge2020

secant zv interscts secant zw at point z find the length of tw

Answers

Answer:

MN ;K ;K ;K ;K

Step-by-step explanation:

2. 2x - y = 6,
- x + y = -1

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

What is the 14th term in the sequence 6n + 1

Answers

Answer:

85

Step-by-step explanation:

6(14)+1=

84+1=

85

Hope this helps! please mark brainliest :)

A missing data value from a set of data has a z-score of –2.1. Fred already calculated the mean and standard deviation to be Mu = 43 and Sigma = 2. What was the missing data value? Round the answer to the nearest whole number. 39 41 45 47

Answers

Answer:

39

Step-by-step explanation:

i just did it on usa test prep

Using the normal distribution, it is found that the missing data value was of 39.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, we have that:

[tex]\mu = 43, \sigma = 2, Z = -2.1[/tex]

The missing data value is X, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.1 = \frac{X - 43}{2}[/tex]

[tex]X - 43 = -4.2[/tex]

[tex]X = 38.8[/tex]

Rounding up, the missing data value was of 39.

More can be learned about the normal distribution at https://brainly.com/question/14424710

Using the distributive law, work out
the solution for the following:
87 x 63 + 87 x 37

Answers

Answer:

the answer is 8700

Step-by-step explanation:

(87 x 63) + (87 x 37)= 8700

hope this helps :-)

Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. Matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. This data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year. Which number represents the rate at which the water level fell? Which number should the rate be multiplied by to find the total variation in water level?

Answers

This question is not complete because is lacks the options for each question.

Complete question

mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

b. -1.8 mm/year

c. -2.48 years

d. -2.48 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

a. 1.05 mm/year

b. 1.8 mm/year

c. 2.48 years

d. 2.48 mm/year

Answer:

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

c. 2.48 years

Step-by-step explanation:

Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell

From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm

Hence,Total Variation in the water level is calculated as

-1.05 mm/year × 2.48 years

Total variation in the water level = -2.604mm

Answer:

Which number represents the rate at which the water level fell?

-1.05 mm/year

Which number should the rate be multiplied by to find the total variation in water level?

2.48 years

Step-by-step explanation:

Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.

Answers

Answer:F

Step-by-step explanation:

Answer:

i honestly think that its A, C, D, F.

Step-by-step explanation:

for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.

For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.

For D you should draw a diagram so you can keep track of your information that you used to get the final solution.

For F, you should always make sure that you didn't mess up and that you can redo it to double check.

What was the percentage decrease in the number of accidents between 1950 and 1976?

Answers

Answer:

the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)

PLZ HELP ASAP IM TIMED THX

Find values of x and y
A x=3.6 y=5.6
B x=7.2 y=5.9
C x= 7.2 y=6.2
D x=8 y=6

Answers

The answer: is option C

Answerc

Step-by-step explanation:

please please help i will mark brainlist

Answers

Answer:

Answer is option a) 4/5

Here value of opposite side is 40

And the value of hypotenuse is 50

Step-by-step explanation:

[tex] \sin(C) = \frac{opposite \: side \: }{hypotenuse} \\ = \frac{40}{50} \\ = \frac{4}{5} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Solve for angle C.




Answers

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

[tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan=\frac{21}{25}[/tex]

[tex]tan^-^1=40[/tex]

Im thinking the answer could be 40

The option gpe is best when the contracted volume is below 3750037500 units ​(enter your response as a whole​ number).the option fms is best when the contracted volume is between 3750037500 and nothing units ​(enter your responses as whole​ numbers).

Answers

Answer:

Find attached missing part of the question:

The option gpe is best when the contracted volume is below 31250  units

The option fms is best when the contracted volume is between 31,250 and 230,000  units ​

The option DM is best when contracted volume is above 230,000 units

Step-by-step explanation:

let x represent the volume produced in each of the three options:

Total cost(TC) =fixed cost+(variable per unit*x)

for general purpose equipment:

TC=125,000+18x equation 1

for flexible manufacturing system

TC=250,000+14x equation 2

for dedicated machine

TC=480,000+13x equation 3

if we set equations 1 and 2 together

125,000+18x=250,000+14x

If we equate equations 2 and 3 together

250,000+14x=480,000+13x

14x-13x=480,000-250,000

x=230,000

18x-14x=250,000-125,000

4x=125,000

divide both sides y 4

x=125,000/4=31250

The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?

Answers

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

PLEASE HELP ME WITH PRE CAL!!

A drone is flying over a college campus. The drone spots the cafeteria on the west end of campus at a 27 ° angle of depression and the sports complex on the east end of campus at a 34° angle of depression. If the cafeteria and sports complex are separated by a straight road 2.3 mi long, how high is the drone?

Answers

Answer:

0.67 mi

Step-by-step explanation:

The diagram illustrating the question is shown in the attach photo.

In triangle DCA,

Opposite = H

Adjacent = b

Angel θ = 27°

Tan θ = Opp /Adj

Tan 27° = H/b

Cross multiply

H = b x Tan 27°... (1)

From triangle DSA,

The diagram illustrating the question is shown in attach photo.

In triangle DCA,

Opposite = H

Adjacent = 2.3 – b

Angel θ = 34°

Tan θ = Opp /Adj

Tan 34° = H/ 2.3 – b

Cross multiply

H = Tan 34° (2.3 – b) .. (2)

Equating equation (1) and (2)

b x Tan 27° = Tan 34° (2.3 – b)

0.5095b = 0.6745(2.3 – b)

0.5095b = 1.55135 – 0.6745b

Collect like terms

0.5095b + 0.6745b = 1.55135

1.184b = 1.55135

Divide both side by 1.184

b = 1.55135/1.184

b = 1.31 mi

Substitute the value of b into any of the equation to obtain the height (H). In this case we shall use equation 1.

H = b x Tan 27°

H = 1.31 x Tan 27°

H = 0.67 mi

Therefore, the height of the drone is 0.67 mi

The height of the drone is 0.67 mi

The calculation is as follows:

In triangle DCA,

Opposite = H

Adjacent = b

Angel θ = 27°

Tan θ = [tex]Opp \div Adj[/tex]

Tan 27° =[tex]H\div b[/tex]

Now we have to do the cross multiply

[tex]H = b \times Tan 27^{\circ}... (1)[/tex]

Now

From triangle DSA,

In triangle DCA,

Opposite = H

Adjacent = 2.3 – b

Angel θ = 34°

Tan θ = [tex]Opp \div Adj[/tex]

Tan 34° = [tex]H\div 2.3 - b[/tex]

Now we have to do the cross multiply

H = Tan 34° (2.3 – b) .. (2)

Now

Equating equation (1) and (2)

[tex]b \times Tan 27^{\circ} = Tan 34^{\circ} (2.3 - b)[/tex]

0.5095b = 0.6745(2.3 – b)

0.5095b = 1.55135 – 0.6745b

Now

0.5095b + 0.6745b = 1.55135

1.184b = 1.55135

b = 1.31 mi

Now

[tex]H = b \times Tan 27^{\circ}\\\\H = 1.31 \times Tan 27^{\circ}[/tex]

H = 0.67 mi

Find out more information about height here:

https://brainly.com/question/10726356?referrer=searchResults

Which has a positive value in Quadrant IV?

Answers

Cosine is positive in Quadrant IV.

can someone please help me :)

Answers

Answer:

B

Step-by-step explanation:

The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.

Answers

Answer: - 63

Step-by-step explanation:

An arithmetic progression is such that the N-th element is equal to:

An = A1 + (n-1)*R

where A1 is the first term, and R is the difference between two consecutive terms.

We know that

A1 + 9*R = -37

and

A1 + (A1 + R) +  (A1 + 2R) +   (A1 + 3R) +  (A1 + 4R) +  (A1 + 5R) = -27

6*A1 + R(1 + 2 + 3 + 4 + 5) = -27

6*A1 + 15*R = -27

so we have two equations:

6*A1 + 15*R = -27

A1 + 9*R = -37

Let's find A1 and R.

First, isolate A1 in the second equation:

A1 = -37 - 9*R

now replace it in the other equation and solve it for R.

6*A1 + 15*R = -27

6*(-37 - 9*R) + 15*R = -27

-222 - 54*R + 15*R = -27

-39*R = -27 + 222 = 195

R = 195/-39 = -5

Now we can find the value of A1:

A1 = -37 - 9*R = -37 - 9*-5 = 8

So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.

A7 = 8 + 6*-5 = -17

A8 = 8 + 7*-5 = -22

Sum = -27 -17 - 22 = -63

The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?

Answers

Answer:

logan

Step-by-step explanation:

84 divided by 3 = 28

Answer: Logan

Step-by-step explanation:

Here the given table,

Student :       Murray             Kris            Logan          Taylor

Problem :        58                  78                84               92

Time(min) :       2                   3                    3                 4        

Therefore, Only Logan can solve the problem at the rate of 28 per minutes.

What were the causes of the American Revolution? *

Answers

Answer:

The Founding of the Colonies.

French and Indian War.

Taxes, Laws, and More Taxes.

Protests in Boston.

Intolerable Acts.

Boston Blockade.

Growing Unity Among the Colonies.

First Continental Congress.

Step-by-step explanation:

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