Solve 8x+ c = k for X.

Answers

Answer 1

Answer:

[tex]x=\frac{k}{8} -\frac{c}{8} \\[/tex]

Answer 2

The Solution of x in the given equation [tex]8x+ c = k[/tex]  is [tex]x =\frac{k-c}{8}[/tex]

How can the value of x be known?

An equation with two polynomial sides or a set of polynomial equations is known as an algebraic equation or a polynomial equation. They are further divided into levels: linear formula for level one. degrees 2 quadratic equation.

Given that [tex]8x+ c = k[/tex]

[tex]8x = k-c[/tex]

[tex]x =\frac{k-c}{8}[/tex]

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Related Questions

18-r=12
[tex]18 - r = 12[/tex]

Answers

Answer:

r = 6

Step-by-step explanation:

18 - r = 12         subtract 18 from both sides

18 - 18 - r = 12 - 18

-r = -6            change the signs

r = 6

Check

18 - 6 = 12         CORRECT

If a graph of y=-4x +2 were changed to a graph of y=-4x+5, how would the y- intercept change?

Answers

Answer:

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

The y-intercept was (0,2) then it becomes (0,5) in the new line.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.

Both of these equations given are in this form.

y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.

Since b=2 then the y-intercept is 2.

y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.

Since b=5 then the y-intercept is 5.

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

Convert 93 pints to quart

Answers

Answer:

Step-by-step explanation:

There are 2 pints in one quart.

93 pints = 93/2 = 46 quarts and 1 pint left over.

Answer:

46.5 quarts

Step-by-step explanation:

There are 2 pints in 1 quart.

Hence,

93 pints     1 quart

------------ * ------------- = 46.5 quarts

      1           2 pints


Please Help.
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).



Elapsed Time

(seconds) Distance Traveled

(feet)

1 4.2

2 8.4

3 12.6

4 16.8




Which of the following equations represents the relationship between the distance traveled and the elapsed time?

p = 4.2f

f = 4.2p

p = 4.2 + f

f = 4.2 + p

Answers

Answer:

Expressing the distance from the shore by the time needed to reach that distance at an invariable speed of 4.2f/s then f=4.2 p

Answer:

f=4.2p

Step-by-step explanation:

A set of equations is given below: equation C:y=5x+10 equation D:y=5x+2 which of the following best describes the solution to the given set of equations? One solution no solution two solutions infinitely many solutions

Answers

Answer:

The system has no solution

Step-by-step explanation:

we have

y=5x+10 -----> equation C

The slope of the equation C is m=5 and the y-intercept is b=10

y=5x+2 -----> equation D

The slope of the equation C is m=5 and the y-intercept is b=2

Remember that

If two lines are parallel, then their slopes are the same

Equation C and equation D are parallel lines with different y-intercept

therefore

The system has no solution (the lines do not intersect)

Jimmy spent $121.60 on shirts. Tee shirts cost $9.10 and long sleeve shirts cost $14.20. If he bought a total of 10, how many of each kind did he buy? Please answer

Answers

The answer my friend is 6 long shirts and 4 teeny shirts

What is the following quotient? sqrt 6 + sqrt 11 / sqrt 5 +sqrt 3

Answers

The answer is B) Link below

Answer:

B

Step-by-step explanation:

I just did it

Determine the theoretical probability of rolling a number larger than two and a standard 66 sided cube

Answers

Answer:

Required probability = 2/3

Step-by-step explanation:

When rolling a 6 sided die, the out comes are

1, 2, 3, 4, 5 and 6

Total number of outcomes = 6

To find the probability

The required outcome is a number greater than 2, therefore possible outcomes are,

3, 4, 5, and 6

Number of possible outcomes = 4

Required probability = 4/6 = 2/3

Answer:

Determine the theoretical probability of rolling a number larger than 2 on a standard 6-sided cube.

2/3

Step-by-step explanation:

What is solution to equation X-5/7=-3/7

Answers

x = 2/7
steps:
add 5/7 to both sides
The answer to the equation is x=2/7
This is because the equation requires you to add 5/7 to -3/7 which results in x equaling 2/7.
(Hope you have a nice day. Could you give me brainliest so I can level up? I only need one more)

Given that the first term and the common difference of an arithmetic progression are 6 and 3 respectively. Calculate the sum of all terms from 4th term to the 14th term.​

Answers

Answer:

330

Step-by-step explanation:

Evaluate the sum of 14 terms and subtract the sum of the first 3 terms

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], so

[tex]S_{14}[/tex] = 7 [ (2 × 6) + (13 × 3)]

                         = 7(12 + 39) = 7 × 51 = 357

[tex]S_{3}[/tex] = 6 + 9 + 12 = 27

Sum of terms from 4 th to 14 th = 357 - 27 = 330

What is most likely the correlation coefficient for the set of data shown

Answers

Answer:

0.19

Step-by-step explanation:

A correlation coefficient is a measure of how well the line of best fit fits the data.  The higher the correlation coefficient, up to 1.0 or -1.0, the better the fit. A positive correlation coefficient means an increasing data set, while a negative correlation coefficient means a decreasing data set.

We can see that this line of best fit is increasing, so our correlation coefficient will be positive.

However we can also see that the points are fairly scattered; this means this is not a very good fit.  This means that 0.19 is the better fit.

The given line passes through the points (0, -3) and (2, 3).
What is the equation, in point-slope form of the line that is
parallel to the given line and passes through the point
-1, - 1)?
y+1=3(x+1)
y+1=-=(x + 1)
-
532
v+1={(x+1)
y+1 =3(x+1)
Mark this and return
Save and Exit
S

Answers

Answer:

[tex]y+1=3(x+1)[/tex]

Step-by-step explanation:

Ok so we are looking for line parallel to the line containing points (0,-3) and (2,3).

Parallel lines have the same slope.

So let's find the slope of the line containing the points (0,-3) and (2,3).

You can use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

However, I just like to line up the points vertically and subtract them vertically, then put 2nd difference over 1st difference. Like this:

(0 , -3)

-(2 ,  3)

-----------

-2     -6

So the slope is -6/-2 or just 3.

So the slope of the line we are looking for has slope 3 (or m=3) and your line should contain the point (-1,-1).

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point you know on the line.

So we just plug into that equation now.  That gives us:

[tex]y-(-1)=3(x-(-1))[/tex]

Simplify a bit:

[tex]y+1=3(x+1)[/tex]

Answer:

The answer is: y+1=(3x+1)

Step-by-step explanation:

Ben has 9 pizza’s with 8 slices each. 59 were eaten. How many slices are left?

Answers

Answer:

13 slices.

Step-by-step explanation:

To find your total amount of slices at the start, multiply your pizzas by your slices.

[tex]9*8=72[/tex]

Next, find the difference between your total amount of slices and the amount of slices which have been eaten.

[tex]72-59=13[/tex]

13 slices are left.

13 because 9 pizzas with 8 slices each would mean you multiply to find the total number of slices (8x9=72) and if you eat 59 of those 72 you are left with 13

Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: The other answer was not right on edge* but i belive that it is C.

A ball is released at a height of 27 inches to roll inside a half-cylinder. It rolls
to a height of 9 inches on the other side of the cylinder on roll 1. Each time it
rolls up a side of the cylinder, the ball reaches a point th
high as it
had reached on the other side.
This explicit formula models the height of the ball, in inches, the nth time it
rolls up a side of the cylinder.
How high does the ball roll on its 4th time up the cylinder's side?

Answers

Answer:

[tex]\frac{1}{3}\ in[/tex]

Step-by-step explanation:

we have

[tex]a(n)=9(\frac{1}{3})^{n-1}[/tex]

For n=4

substitute

[tex]a(4)=9(\frac{1}{3})^{4-1}[/tex]

[tex]a(4)=9(\frac{1}{3})^{3}[/tex]

[tex]a(4)=9(\frac{1}{27})[/tex]

[tex]a(4)=\frac{1}{3}\ in[/tex]

Answer:

1/3

Step-by-step explanation:

-3(6f - 12) = 36 - 18f

Answers

Answer:

Step-by-step explanation:

The given expression is:

-3(6f - 12) = 36 - 18f

To prove that L.H.S=R.H.S:

Multiply -3 (6f-12)

-3(6f)-3(-12)

=-18f+36

=36-18f

Hence it is proved that L.H.S = R.H.S....

The data shown on the scatter plot below demonstrates the relationship between the time of day and the total number
of calories that a teenager consumes throughout the day.
That as time ___________,
the total number of calories that a teenager consumes throughout the day
___________.

Blank A options:
Stays the same
Increases
Decreases

Blank B options:
Stays the same
Decreases
Increases

Answers

Answer:

Good question! The correct answer is a) increases and b) increases.

While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.

Answer:

a) increases and b) increases.

Step-by-step explanation:

Find the value of x in the picture please

Answers

Answer:

Option D 74°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

The arcs that the outer angle encompasses are

254° and (360-254)=106°

therefore

∠x=(1/2)[254°-106°]

∠x=(1/2)[148°]

∠x=74°

Solve the inequality. 1/3+x+2/9>5/6

Answers

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you 5⁄9 + x > ⅚. Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is x > 5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

help pleaseeeee solve 3-x/2=>12

Answers

Answer:

x ≤-18

Step-by-step explanation:

3-x/2≥12

Subtract 3 from each side

3-3-x/2≥12-3

-x/2≥9

Multiply each side by -2 to clear the fraction.  Remember to flip the inequality since we are multiplying by a negative

-3 * -x/2 ≤ -2 *9

x ≤-18

Answer:

x ≤ - 18

Step-by-step explanation:

Given

3 - [tex]\frac{x}{2}[/tex] ≥ 12

Multiply all terms by 2

6 - x ≥ 24 ( subtract 6 from both sides )

- x ≥ 18

Multiply both sides by - 1, remembering to reverse the sign as a consequence of multiply by a negative quantity.

x ≤ - 18

Mixed 3 liters 20% solutions with 2 liters 70% solution. What’s the final concentration,

Answers

Answer:

(3×20%+2×70%)/3+2=40%

Step-by-step explanation:

Assuming the potions are the same type or do mix then probably the concentration of the potion depends on the type of reaction they have to each other.

Yet we can average the percentage of the active ingredient by the principle mentioned above

Answer:

The final concentration is 40%.

Step-by-step explanation:

Let x the concentration of final solution.

3 liters of solution (1) with 20% concentration is mixed with 2 liters of 70% solution producing (3 + 2) = 5 liters of x% mixture.

Now 3 × (20%) + 2 × (70% = 5 (x%)

3 × 0.2 + 2 × 0.7 = 5 (0.1x)

0.6 + 1.4 = 0.05x

2 = 0.5x

x = 2/0.05

= 40%

The final concentration is 40%.


Which factor do 9x2 – 12x + 4 and 9x^2 – 4 have in common?

Answers

Answer:

3x-2

Step-by-step explanation:

[tex]9x^{2} -12x+4[/tex] can be factored using the perfect square rule into [tex](3x-2)^{2}[/tex]

and

[tex]9x^{2}-4[/tex] can be factored by using the difference of squares formula into [tex](3x+2)(3x-2)[/tex]

Both can be factored by (3x-2) so it is a common factor.

Hence, there are no common factors between the two equations.

What is a factor?

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

How to solve?

given equation is [tex]9x^2-4[/tex]

solving for x,

                     [tex]9x^2=4\\x^2=\frac{9}{4} \\x=\frac{3}{2}, -\frac{3}{2}[/tex]

putting values of x in equation 1,

x = [tex]\frac{3}{2}[/tex],

      [tex]\frac{81}{4}-12.\frac{3}{2}+4\\ \frac{25}{4}[/tex]Therefore, 3/2 is not a common factor

x=[tex]-\frac{3}{2}[/tex],

      [tex]\frac{81}{4}+12.\frac{3}{2}+4\\ \frac{169}{4}[/tex]Therefore, -3/2 is not a common factor

Hence, there are no common factors between the two equations.

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A cube has side length 0.7 metres.

Work out the total surface area of the cube.
Give your answer in square centimetres

Answers

6*0.7*0.7=2.94
6 sides; area of 1 side = length*width. Length = width = 0.7

Answer:

2.94cm^2

Step-by-step explanation:

If you're referring to the mathswatch question, this gets you 2/3 :)

If z is a standard normal variable, find the probability.
The probability that z lies between –1.10 and –0.36

0.4951

–0.2237

0.2237

0.2239

Answers

Answer:

0.2237

Step-by-step explanation:

Use the Table of Standard Normal Probabilities for Negative z-scores.

For z= -0.36 NORMSDIST(-0.36)=0.3594 (read value from the table)

For z= -1.10  NORMSDIST(-1.10)=0.1357 (value from the table)

You know P(-1.10<z<-0.36) = 0.3594-0.1357=0.2237

Do you guys know the answer for 3 and 4

Answers

Answer:

Problem 3: H. 350 = r * 5

Problem 4: rate of speed = 70 miles per hour

Step-by-step explanation:

Problem 3:

speed = distance/time

Multiply both sides by time.

speed * time = distance/time * time

speed * time = distance

distance = speed * time

distance = 350

speed = r

times = 5

350 = r * 5

Answer: H. 350 = r * 5

Problem 4:

350 = r * 5

Divide both sides by 5.

350/5 = r * 5/5

70 = r

r = 7

rate of speed = 70 miles per hour

Answer:

H. 350 = r*5

Her average rate: 70 miles

Step-by-step explanation:

When finding average rate, you are always either multiplying or dividing so all the choices except for H, won't work.

Also, r represents the rate so its how many miles per hour. So you would multiply the miles per hour by the amount of hours you have.

So r*5.

To find her average you would solve for r in the equation.

So r*5 = 350

You would divide 5 by itself and then by 350, because whatever you do to one side of the equation, you do to the other.

So 5/5 = 1 or just r

350/5 = 70

r = 70

The isosceles triangle has a perimeter of 7.5 m which equation can be used to find the value of x if the shortest side, y measures 2.1 m ?

Answers

Answer:

7.5 = 2x + 2.1

Step-by-step explanation:

The perimeter of a triangle is the sum of the sides.  In an isosceles triangle, two sides are the same length.  If x is the length of the two sides and y is the length of the third side, then:

P = 2x + y

Given that P = 7.5 and y = 2.1:

7.5 = 2x + 2.1

Answer: The equation that can be used to find the value of x is

2x + 2.1 = 7.5

Step-by-step explanation: An isosceles triangle is a type of triangle which has two of its sides equal to each other. It also has two it's angles (the base angles) equal to each other.

From the question, the given triangle has the shortest side, y to be 2.1 m. This means side y is shorter than the other two sides. Hence, the other two sides must be the sides that are equal to each other. These other two sides are denoted by x ( see the attachment for an illustrative diagram).

The perimeter of a triangle is the sum of all its sides. Therefore, the perimeter (P) of the given triangle is

P = x + x + y

P = 2x + y

From the question, P = 7.5 m

and y = 2.1 m

Hence,

7.5 m = 2x + 2.1 m

2x + 2.1 m = 7.5 m

This equation can be used to find the value of x. The equation can also be written as:

2x = 7.5 m - 2.1m OR

x = (7.5 m - 2.1m) / 2

In which pair of triangles is Triangle EFG=Triangle RTS?

Answers

Answer:

The last picture or

The picture with 3 lines on EF and TR, 1 line one EG, 1 line on SR, 2 lines on ST and 2 lines on GF

Step-by-step explanation:

Since EF and RT have 3 lines and FG and TS have 2 lines, they are similar

Answer:

Last pair of triangles represent congruence.

Step-by-step explanation:

If [tex]\triangle EFG \cong \triangle RTS[/tex], it can be deducted the following:

[tex]\angle E \cong \angle R\\\angle F \cong \angle T\\\angle G \cong \angle S[/tex]

Also,

[tex]EF \cong RT\\FG \cong TS\\EG \cong RS[/tex]

Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.

A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate perimeter of the parallelogram? Round your answers to the nearest hundredth.

a. 9.16

b. 12 units

c. 12.32 units

d. 14

e. 14.32

I NEED THE ANSWER ASAP!!

Answers

Answer:

option C

Step-by-step explanation:

We will call :

A=(-5, -1)    B=(-2, -1)   C=(-3, -4)   D= (-3, -4)

Perimeter= 2*AB+2BC

Where AB= [tex]\sqrt{(-5+2)^{2} +(-1+1)^{2} } = \sqrt{9} =3\\[/tex]

BC =[tex]\sqrt{(-2+3)^{2} +(-1+4)^{2} } = \sqrt{10} =3.16\\[/tex]

So We have:

Perimeter=2*3+2*3.16= 12.32  

Answer:

C.

Step-by-step explanation:

What is the solution set of { x I x < -5} n { x I x> 5

Answers

For this case we have to:

[tex]x <-5:[/tex] Represents the solution of all strict minor numbers to -5.

[tex]x> 5:[/tex] Represents the solution of all strict major numbers to 5.

The global solution is given by the intersection of both sets. The symbol of intersection is denoted as: ∩

If we represent the solution in a numerical line, it gives us empty. do not intersect.

Answeer:

Empty set

Use the distributive property to evaluate 4(2x-1) when x=6 .

Answers

Answer:

44

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

4(2x - 1) = (4)(2x) + (4)(-1) = 8x - 4

Put x = 6 to the expression:

8(6) - 4 = 48 - 4 = 44

The solution to the given expression is 44.

What is the distribution property of multiplication?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

By applying the distributive property of multiplication to the given expression, we have:

4(2x - 1) = 4(2x) - 4(1)

4(2x - 1) = 8x - 4

when x = 6, we have;

8x - 4

8(6) - 4

48 - 4 = 44.

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