What is the value of k?

2k+9=7−3k

Answers

Answer 1

To find the value of k in the equation 2k+9=7−3k, we rearrange and simplify to isolate k, resulting in k = -2/5.

To solve for the value of k in the equation 2k+9=7−3k, we must isolate the variable on one side of the equation. Let's start by adding 3k to both sides to get all the k terms on one side:

2k + 3k + 9 = 7 − 3k + 3k
5k + 9 = 7

Next, subtract 9 from both sides to get:

5k = 7 − 9
5k = −2

Now, to find the value of k, divide both sides by 5:

k = −2/5

Therefore, the value of k is −2/5.

Related Questions

The transitive property of equality states that:

if a = b, then b = a
if a = b, then ac = bc
if a = b and b = c, then a = c
if a = b and c = c, then a + b = b + c

Answers

the transitive property of equality states that if a = b, then b = c, then a = c.

hope that helps, God bless!

Answer: The correct option is

(C) if a = b and b = c, then a = c.

Step-by-step explanation: We are given to select the correct statement for the transitive property of equality.

We know that

if x, y and z are three real numbers, then the transitive property of equality states that

if x = y and y = z, then x = z.

So, for reals a, b and c, the property states that

if a = b and b = c, then a = c.

Option (C) is CORRECT.

PLEASE HELP!

Translate each phrase into a numerical expression.

Twice the opposite of eleven.

Answers

2*(-11) if its multiple choice but im not sure

Twice the opposite of eleven will be 2(-11).

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Opposite of eleven = negative of eleven

Opposite of eleven = -11

Twice = multiply by two

So,

Twice the opposite of eleven = 2(-11) = -22

Hence "Twice the opposite of eleven will be 2(-11)".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

What is the value for x?
Enter your answer in the box.

Answers

A is equal to C
73=8y-7
+7
80=8y
y=10
73+73=146
180-146=34
6x+4=34
-4
6x=30
x=5

x=5
y=10

5=x. angles a and c are equivalent, so you just add them together and subtract from 180, then solve for x plugging in difference of the two.

Please help!!

4) Use the figure below to answer parts A and B. Show your work. (4 Points)

A.)Explain, in words, a series of rigid motions that would map ∆MJS onto ∆DWP.

B.)Write the ordered-pair rule for each transformation in the sequence

Answers

Part A:

The series of rigid motions that would map ∆MJS onto ∆DWP are:

a.) A rotation of 90 degrees about the point J in the clockwise direction.
b.) A translation of 1 units to the right and 5 units up.

Part B:

The ordered-pair rule for each transformation in the sequence are:

a.) R (J, 90 degrees)
b.) (x, y) → (x + 1, y + 5)

Martin drew a pair of perpendicular lines and a pair of parallel lines.which of these statements best compares the pairs of perpendicular and parallel lines?

Answers

You need to post the statements

Help I can’t answer this math question!!!

Answers

I hope this will help you
The probability is 6 out of 16

Suppose A and B are points. How many lines contain both A and B?

Answers

One and only one line contains both A and B (assuming, that A and B do not overlap)

Point A and point B should both contain one line

what is f(-5) if f(x) equals |2x-1|+10?

Answers

|2(-5) - 1| + 10
|-10-1| + 10
|-11| + 10
11 + 10
21 is your answer

Hope this helped!

Answer:

The value of the function for f(-5) is 21.

Step-by-step explanation:

Consider the provided function.

[tex]f(x)=|2x-1|+10[/tex]

We need to find the value of the function for f(-5).

Substitute the value of x=-5 in the above function.

[tex]f(-5)=|2(-5)-1|+10[/tex]

[tex]f(-5)=|-10-1|+10[/tex]

[tex]f(-5)=|-11|+10[/tex]

The absolute value of -11 is 11.

[tex]f(-5)=11+10[/tex]

[tex]f(-5)=21[/tex]

Hence, the value of the function for f(-5) is 21.

Solve each system by substitution {4p+2q=8 and q=2p+1} {x+6y=2 and 5x+4y=36}

Answers

4p +2q = 8
Q=2p+1

4p +2(2p + 1)=8
4p + 4p + 2=8
8p = 6
P=3/4

Substituting p=3/4 into the first equation
4(3/4) +2q =8
3+2q =8
2q=5
Q=5/2

Find the 40th term of the following arithmetic sequence:16,6,-4,-14

Answers

Let the 40th number be x
(x-16)/(-10) + 1 = 40
x-16 = 39(-10)
x = -390 + 16
x = -374

The 40th number in the sequence is -374

Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108

Answers

We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)

In matrix form, the equations are
[tex] \begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}[/tex]

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
[tex]x = \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) = \frac{1}{-5} (-6+36) = -6[/tex]
Similalrly,
[tex]y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8[/tex]

Answer: (-6, 8) or x = -6, y = 8

if kyra cuts a 12" string into 3/4 strips for her art project , how many strips will she have
A) 9
B) 12
C) 15
D) 16

Answers

The answer is D) 16, I divided

Answer:

Kyra will have 16 strips of 3/4".

Step-by-step explanation:

This is a case of a division where we have to divide the 12" string in pieces of 3/4", this is:

[tex]NumberStrips=12/\frac{3}{4} =16[/tex]

Kyra will have 16 strips of 3/4".

What is the value of x?

x−25=7

Enter your answer in the box in simplest form.
x =

Answers

that answer is -18 dfffdffdf

x would equal 32 because 32 - 25 = 7. if you add 25 to 7 the sum would be 32.

If x y z are positive integers and 3x = 4y = 7z, then the least possible value of x + y + z is

Answers

The least possible value of x+y+z is 61.
this is how we find this,
if we find the LCM of 3,4 and 7 we get 84
= 3 x (4x7) = 4x(3x7) = 7x (3x4)
x+y+z = (4x7) + (3x7) + (3x4)
=28 +21+12
=61

TWO EASY QUESTIONS 8TH GRADE MATH
9. Complete the missing steps in the paragraph proof of Theorem 3-8.
11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)

Answers

9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

17x + 5 = 90

17x = 85

x = 5

Simplify (x3+ 8x + 5) − (2x2− 3x − 12). −x2+ 11x + 17 x3− 2x2+ 11x + 17 −x2+ 5x − 7 x3− 2x2+ 5x − 7

Answers

x^3 + 8x + 5 - (2x^2 - 3x - 12) =
x^3 + 8x + 5 - 2x^2 + 3x + 12 =
x^3 - 2x^2 + 11x + 17 <===

Hank's pickup can travel 42 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 28 miles?

Answers

2 gallons of gas

hope it helps

brainliest pls

Answer:

The person is right it's 2 gallons of gas to travel 28 miles

Step-by-step explanation:

is the choice vertical angle theorem correct?

Answers

Unfortunately it is incorrect. You should instead go for the Alternate Exterior Angle Theorem

Angle 2 and angle 7 are on opposite or alternate sides of the transversal cut. They are also exterior because they are on the outside of the train tracks (think of line a and line b as the metal rail of the train tracks). If a || b, then the alternate exterior angles are congruent, which applies to angle 2 and angle 7. Also it applies to angle 1 and angle 8.

A train travels 128 km in 2 hours and 30 minutes. What is its average speed in km/min?

Answers

1 hour = 60 minutes

2 hours = 120 minutes +30 = 150 minutes total

128 / 150 = 0.853 km/min

Mayumi is constructing a line through point P that is perpendicular to RS←→. A horizontal line segment R S and a point P are drawn. The point P is above the horizontal line segment R S. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc? It must be greater than 12RS. It must be equal to PS . It must be wide enough so that the arc intersects RS←→ in two points. It must be equal to PR .

Answers

Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.

Hola fellow K12 kiddos!

Correct answer:

It must be wide enough so that the arc intersects RS←→ in two points.

How to write 0.924 in two other forms

Answers

Hi there!

Your question:

How to write 0.934 in two other forms?

My answer:

Since 0.924 is a decimal, the two other ways are going to be a fraction and a percent. To make it a fraction you are going to find out what it's out of. in this case, it's 1,000.

The answer is: 924/100 and 92.4%

What is the degree of 12x⁴-8x+4x²-3
A)12
B)4
C)3
D)8

Answers

The answer to your question is B: 4

Write a linear model for the cost of tickets based on the number of tickets a fan buys.

Answers

y = mx + b

y = 2x + 7

Solve for y, give the slope and y intercept 5y=20, -y + 3=15x, y +1/3x=17

Answers

[tex]5y=20[/tex] Equation

[tex]y=4[/tex] Divide by 5 on both sides

[tex]5(4)=20[/tex] Plug in for y

[tex]20=20[/tex] Simplify

y=4
slope= 0
y-intercept= 4

[tex]^{-}y+3=15x[/tex] Equation

[tex]^{-}y=15x-3 [/tex] Subtract 3 from both sides

[tex]y=-15x+3[/tex] Divide both sides by -1

[tex]- (^{-}15x+3) +3=15x[/tex] Plug in for y

[tex]15x-3+3=15x[/tex] Distribute -1 into the parenthesis

[tex]15x=15x[/tex] Further simplified

y= -15x+3
slope= -15
y-intercept= 3

[tex]y+ \frac{1}{3}x=17 [/tex] Equation

[tex]y=^{-}\frac{1}{3}x+17 [/tex] Subtract 1/3x from both sides

[tex](^{-}\frac{1}{3}x+17 )+\frac{1}{3}x =17[/tex] plug in for y

[tex]17=17 [/tex] Simplify

y= -1/3x+17
slope= -1/3
intercept= 17

Evaluate the expression for x = –3

Answers

Kinda confused of the question

Which set of integers is a pythagorean triple?
a. 2, 3, 6
b. 3, 4, 5
c. 4, 5, 9
d. 5, 7, 12?

Answers

H^2 = P^2 + B^2

a. 6^2 = 2^2 + 3^2
36 = 4 + 9
36 = 13
Therefore this is not a Pythagorean triple

b.5^2 = 4^2 + 3^2
25 = 16 + 9
25 = 25
Therefore this is a phythagorean triple

My number has nine digits it is evenly divisible by 100 the value of one of the digits is 700,000 the digit in the millions place is both even and prime the digit in the hundreds place is the temperature at which water freezes the digit in the ten millions place is triple the number in the millions place the digit in the thousands place is the number of fluid ounces in a cup the digit in the hundred millions place is a special number because it is a factor of every number.

Answers

Let's go for it:
Nine digits: nnn,nnn,nnn

Divisible by 100 = last two digits are 00
hundred thousands place = 7
one millions place is even and prime = 2 [the only prime even number]
hundreds place = 0 [water freezes at 0 °C]
Ten millions place is triple one millions place = 6 [2x3]
one thousands place = 8 [8 ounces in one cup]
Hundred millions place = 1 [only number that's a factor of every number]

162,708,000

The current diameter of a tree trunk is 10 inches. the trunk diameter increases at a rate of 2 inches per year. an insect burrows into the trunk and lays its eggs in the secondary xylem, 1 inch out from the center of the tree. how far from the center will the dormant eggs be located in two years?

Answers

The answer is 1 because tree trunks grow wider because of cell divisions that occur only in the vascular and cork cambia (both located underneath the bark). Secondary xylem (wood) remains in place once it is formed. Therefore, the eggs will remain in their current position (1 inch out from the center).

the answer would be "1".

What 8 letter word can have a letter taken away and it still makes a word. take another letter away and it still makes a word. keep on doing that until you have one letter left - that is still a word. what is the 8 letter word...and what are the other smaller words?

Answers

The word in question is "starting." Taking away the second "t" gives "staring." Next, taking away the "a" gives "string," and taking away the "r" gives "sting." Further, dropping the second "t" gives "sing." Next, removing the "g" leads to "sin," the "s" gives "in," and finally taking away the "n" leaves the word "I."

3(x−7)=6(x−10)
Solve For X
3x-21=6x-60

Answers

3(x-7)=6(x-10)
3x-21=6x-60
3x-21+21=6x-60+21
3x=6x-39
3x-6x=6x-39-6x
-3x=-39
-3x/-3=-39/-3
x=13

Hello,

Let's look at the equation: 3(x−7)=6(x−10). Let's distribute the 3 and 6 to the parenthesis. After you distribute, the equation should look like:
3x - 21 = 6x - 60. Then add 21 to both sides and that should leave you with
3x = 6x - 39. Let's then get 6x to the other side by subtracting 6x to both sides. That'll leave you with -3x = -39, then divide each side by -3 to get x by itself. The equation would now be: x = 13. Hope this helps =).

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What is the value of k? 2k+9=7−3k

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What is the value of k?

2k+9=7−3k