Solve kx + 10 = 7 for x.​

Answers

Answer 1

Answer: [tex]x=\frac{-3}{k}[/tex]

Step-by-step explanation:

To solve for x, you need to get x alone. In this problem, k is a constant.

[tex]kx=-3[/tex]

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


Related Questions

Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)

Answers

Answer:

k=27y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

3k=814k=1085k=135

Solving any of the equation above gives: x=27

We therefore have:

[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]

Let y be the total cost of x tickets

From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).


Ken built a 20 foot square fence in his back yard and planted a tree every 5 feet along the fence. How many trees did Ken plant?

Answers

Answer: 41

Step-by-step explanation:

Answer:

c:16

Step-by-step explanation:

PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. What part in the Quadratic Formula is the discriminant and how do you know the number of solutions based on the value of the discriminant?

Answers

Answer:I'm gonna be doing a quadratic equation explaining step by step and using the formula so the example i'm gonna be using for today is

3[tex]x^{2}[/tex] +5[tex]x^{}[/tex]=7 I'm gonna answer the question then explain how i got the answer the i will explain to you  about the discriminant section

Step-by-step explanation:

So here is the explanation for the equation given above

One thing you need to know about quadratic equation is that there has to be a 0 on the other side of the equation given to you

3[tex]x^{2}[/tex]+5[tex]x^[/tex]-7=0

Therefore you have to group the numbers into a,b and c

a=3

b=5

c=7

Your'e gonna use a plus or minus sign like the one below

x=-(5)+[tex]\sqrt{}[/tex]5                                                                                                                                                                                                                                              

sorry i cannot understand it very well i tried though

         -

Ursula tosses two six-sided number cubes and ADDS the numbers rolled. Which of these is a list of the outcomes of the two row? A) 3, 4, 5, 6, 7, 8 B) 2,4,6,8, 10, 12 C) 5, 8, 11, 14, 17, 20 D) 0/25, 1/25, 3/25, 5/25, 6/25, 25/2

Answers

Answer:

A) 3, 4, 5, 6, 7, 8

Step-by-step explanation:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8

Lou's Shoes is having its annual Flag Day Sale and is offering a 25% discount on all regularly priced shoes. Kayla spends $13.50 buying sandals and sneakers. Determine which equation represents how much Kayla will spend on sandals after the discount. $13.50 = 0.75(x + 10) $13.50 – 10 = 0.75x $13.50 + 10 = 0.75x $13.50 = 0.25(x + 10)

Answers

Answer:

13.50=0.75(x+10)

Step-by-step explanation:

From the options given, it seems the price of either of Sandals or sneakers is given as 10 and the other is x

If Price of Sandals or sneakers=x

And the price of the other one is 10

Total price=(x+10)

25% discount is given

So she will pay 75% of the total cost

75%=0.75

Total cost =$13.50

She would pay 75% of (x+10)

Which is

0.75(x+10)=13.50

13.50=0.75(x+10)

Answer:

The answer is $13.50 = 0.75(x + 10)

Step-by-step explanation:

I am doing the assignment right now

Your Welcome :)

Please answer the following:

Answers

CLASS 8 SPOT TEST

1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?

2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?

3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?

4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.

5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?

Step-by-step explanation:

1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Only these 5 are even: 2, 4, 6, 8, 10.

The probability on an even number is 5 / 10 = 0.5 = 50%

2. The total number of balls is 10.

5 WHITE, 4 BLACK AND 1 BLUE

The probability on a black ball is 4 / 10 = 0.4 = 40%

3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.

Only these 3 are odd: 1, 3, 5.

The probability on an odd number is 3 / 6 = 0.5 = 50%

4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.

5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.

(The total should always add up to 100%).

Show that the points A(2,-2), B(14, 10), C(11, 13) and
D(-2, 1) are the vertices of reclangle

Answers

Answer:

  is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

  AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

  BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

In RST, the measure of

Answers

Answer:

27.5 degrees

Step-by-step explanation:

First, choose which method would work in this problem, SOH, CAH, or TOA.

We have opposite, O and adjacent, A. So we have an O and an A.

Thus, we should use TOA.

Tangent x = 44/84

Tangent x= 0.52

x= Tangent^-1 (0.52)

x=27.5 degrees

Answer:27.6

Step-by-step explanation:

Please help me! Anyone know this answer :(

Answers

Answer:

A

Step-by-step explanation:

2x-3=5(x+6)

2x-3=5x+30

2x-33=5x

3x=-33

x=-11

Hope this helps!

Look in pic to help!!

Answers

Answer:

Step-by-step explanation:

140-105 gives you the angle of X, X is then 35

Answer:

x = 65°

Step-by-step explanation:

The 2 base interior angles are adjacent to the external angles and are supplementary.

180° - 105° = 75°

180° - 140° = 40°

The sum of the 3 interior angles of a triangle = 180°

Subtract the sum of the 2 known interior angles from 180 for x

x = 180° = (75 + 40)° = 180° - 115° = 65°

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Answers

Answer:

4

Step-by-step explanation:

[tex]h(x)=x-7 \\\\g(x)=x^2 \\\\(g\circ h)(5)= (5-7)^2=(-2)^2=4[/tex]

Hope this helps!

Using composite functions, it is found that the equivalent expression at x = 5 is given by:

[tex](g \circ h)(5) = 4[/tex]

What is a composite function?

A composite function is when a function is used as an input to another function, hence, that is:

[tex](g \circ h)(x) = g(h(x))[/tex].

In this problem, we have that the functions are given as follows:

h(x) = x - 7.g(x) = x².

Then, the composite function is given by:

[tex](g \circ h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2[/tex].

We want to find the value of the composite function at x = 5,  hence we have that:

(5 - 7)² = 4.

More can be learned about composite functions at https://brainly.com/question/17684028

#SPJ2

Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?

Answers

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= [tex]\frac{1}{3} +\frac{1}{4}[/tex]

                                                 = [tex]\frac{7}{12}[/tex]

Actual money spent = [tex]\frac{7}{12}[/tex] * £636

                                  = £371

Money he has left = £(636 - 371)

                               = £265

Answer:

$265

Step-by-step explanation:

Can someone help out pls

Answers

Answer:

-2

Step-by-step explanation:

x= -2 is the required equation

Divide 21a^3-14a by -7

Answers

Answer:

A

Step-by-step explanation:

[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]

Hope this helps!

What is the answer to 2(5x+4)=8

Answers

Answer:

So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.

So that means that the answer is

Write 10 in the first box 10 in the secondx=0

Answer:

? = 10

Step-by-step explanation:

2(5x+4)=8 - DISTRIBUTE

= 10x + 8 = 8

10x + 8 = 8

- 8

10x = 0

10x/10 = 0/10

x = 0

Please help me with my question!!

Answers

Answer:

56 tiles

Step-by-step explanation:

[tex]\dfrac{252}{4\frac{1}{2}}= \\\\\\\dfrac{252}{\frac{9}{2}}= \\\\\\252\times \dfrac{2}{9}= \\\\\\\boxed{56}[/tex]

Hope this helps!

Same with the other question we did, we are given the area of each tile which is 4 1/2in^2.

All we need to do it divide.

252 / 4.5 = 56

So, she would need 56 tiles in total.

Best of Luck!


How fast did the truck consume its fuel?
Pro
Choose 1 answer:
Tea
60 liters per kilometer
0.6 liters per kilometer
40 liters per kilometer
0.4 liters per kilometer

Answers

Answer: 0.6 liters per kilometer

Step-by-step explanation:

(A) 475L - 50km

(B) 375L - 200km

Subtract liters.

475-375=100L

Subtract km

200-50=150km

Divide liters per km

100/150=0.6L/km

Use Cramers Rule to solve the system
-x-3y=-8
2x+4y=12

Answers

Answer:

x = 2 y = 2

Step-by-step explanation:

just do equation form

Answer:

[tex]x=2[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

To use Cramer's Rule, we first need to turn this system of equations into a matrix

[tex]A=\left[\begin{array}{cc}-1&-3\\2&4\\\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}-8\\12\\\end{array}\right][/tex]

The first step to use Cramer's Rule is to find the determinant of the original matrix

[tex]detA=(4)(-1)-(2)(-3)\\\\detA=-4+6\\\\detA=2[/tex]

Next, we need to replace column 1 of matrix A with b and then find the determinant of that matrix

[tex]A_1=\left[\begin{array}{cc}-8&-3\\12&4\\\end{array}\right][/tex]

[tex]detA_1=(-8)(4)-(12)(-3)\\\\detA_1=-32-(-36)\\\\detA_1=4[/tex]

And now we need to replace column 2 of matrix A with b and then find the determinant of that matrix

[tex]A_2=\left[\begin{array}{cc}-1&-8\\2&12\\\end{array}\right][/tex]

[tex]detA_2=(-1)(12)-(2)(-8)\\\\detA_2=-12-(-16)\\\\detA_2=4[/tex]

Now that all of this is done, we can find the values for our x matrix.

Recall that Cramer's Rule states that

[tex]x=\left[\begin{array}{c}\frac{detA_1}{detA} \\\frac{detA_2}{detA} \\\end{array}\right][/tex]

Now that we know all of the required determinants, we can find x

[tex]x=\left[\begin{array}{c}\frac{4}{2} &\frac{4}{2} \end{array}\right] \\\\x=\left[\begin{array}{c}2\\2\\\end{array}\right][/tex]

This means that the solutions to this system are [tex]x=2[/tex] and [tex]y=2[/tex]

What is the slope? 50 points + brainly


Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/2

Step-by-step explanation:

Hi there, let me show you how to answer this question.

If you notice, the line goes over (-1,-10) and (1,-9). But overall, the rise/run is 1/2 as the rise is 1 and the run is 2.

80 people were asked which was their favourite animal.
The pictogram shows the results.
The key is missing.
Cat
a)
Which animal was the least popular?
b)
How many people does
represent?
Dog
Giraffe DDI
Monkey D.
Dolphin
c)
How many more people preferred
giraffes than dogs?

Answers

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the [tex]\square[/tex] be x.

Half of [tex]\square[/tex] =x/2

From the pictogram, we then have:

[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]

Therefore:

[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]

So we have the following numbers

[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]

(a)Cat was the least popular

(b) [tex]\square[/tex] represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]

Similarly,

People who like dog = [tex]y+\frac{3}{4}y[/tex]

Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]

Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]

Peoples who like Dolphin = [tex]3y[/tex]

Since, total people = 80

Therefore,

       [tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]

Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Learn more:

https://brainly.com/question/23021563

ASAP ! I WILL GIVE BRAINLIEST! Pls simplify this fraction on the attached picture thank you!!! I

Answers

Answer:

[tex]\frac{x+3}{x}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-9}{x^2-3x}[/tex] factorise numerator and denominator

x² - 9 = (x - 3)(x + 3) ← difference of squares

x² - 3x = x(x - 3) , thus

= [tex]\frac{(x-3)(x+3)}{x(x-3)}[/tex] ← cancel (x - 3) on numerator/ denominator, leaving

= [tex]\frac{x+3}{x}[/tex]

Subtract the equations 5x+4y= 25 -(5x+2y=3)

Answers

If you subtract you will get 2y=22. The x’s cancel out. Divide both sides by 2 and you get y=11.

Help me please this is due today help me

Answers

Answer:

Below

Step-by-step explanation:

1. -4, -|2|, -1, |-3|, 4

2. -7.5, -7.2, 9.5, 10.5

3. 7

5. 13

6. -9

7. [tex]\frac{5}{12}[/tex]

8. -1.36

9. [tex]\frac{13}{5}*[/tex][tex]\frac{-4}{3}[/tex][tex]=\frac{-52}{15}[/tex]

10. -27.2

11. 22 * 2 + 7 * 0 - 5 * 1 = 39

pls help me I need to finish it!!

Answers

Answer:

2/7

Step-by-step explanation:

7/8 ÷ 3 1/16

Change to an improper fraction

3 /16 = (16*3+1)/ 16 =49/16

7/8 ÷49/16

Copy dot flip

7/8 * 16/49

Rewrite

7/49 * 16/8

Simplify

1/7 * 2/1

2/7

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)

Answers

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

1. What is the surface area of the pyramid below
6 , 5.2 ,8.2

Answers

128.22? I’m not sure if it’s right because you did not specify the base length, width or height.

Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??

Answers

Answer:

The correct answer is -$1,209.85-verified by Edg. Thank you.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Which property allows you to write the expression
(3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?


Answers

Answer:

3+7i

Step-by-step explanation:

Answer:

Associative

Step-by-step explanation:

I got it on edge hope ur not as far behind as me boys

How many solutions exist for the given equation?
CO
3(x - 2) = 22-X
name
zero
one
two
infinitely many




can someone help me pls​

Answers

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

For each hour he babysit,Anderson earns 1$ more than half of carey's hourly rate.Anderson earns 6$ per hour. wich equation can be used to solve for carey's hourly rate,c?

Answers

Answer:

The expression to find Carey's hourly rate is: [tex]c = 2*a - 2[/tex]. Carey's hourly rate is $10.

Step-by-step explanation:

Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:

[tex]a = \frac{c}{2} + 1[/tex]

We want to find the Carey's rate, therefore we need to isolate the "c" variable.

[tex]\frac{c}{2} + 1 = a\\\frac{c}{2} = a - 1\\c = 2*a - 2[/tex]

Since Anderson earns $6, then we can find Carey's rate:

[tex]c = 2*6 - 2 = 12 - 2 = 10[/tex]

Answer:

A)

6 = c/2 + 1

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