4. Solve each equation for x. (8 points: 2 points each)

a.) 3x-12y=27

b.) 6x-7y=-2

c.) 4x-k=17

d.) kx+c=9

Answers

Answer 1

Answer:

a. x = 9 + 4y

b. x = (7y-2)/6

c. x = (17 + k)/4

d. x = (9-c)/k

Step-by-step explanation:

In each of the equations, we want to make x the formula subject

a) 3x-12y = 27

3x = 27 + 12y

3x = 3(9 + 4y)

x = 9 + 4y

b) 6x-7y = -2

6x = 7y-2

x = (7y-2)/6

c) 4x - k = 17

4x = 17 + k

x = (17 + k)/4

d) kx + c = 9

kx = 9-c

x = (9-c)/k


Related Questions

HELP ME PLEASE (WILL GIVE BRAIN)... "What is the equivalent of 13π/6 in degrees?

Answers

390 degrees is ur answer btw ;))

please explain how to solve​

Answers

you are correct stuck with that

19. Which graph best represents the solution set of -4x s 6y - 54?​

Answers

Answer:

I believe the answer is A and I'm sorry if I'm wrong

graph best represents the solution set of -4x <- 6y - 54 graph C. Option C is the correct option.

graph best represents the solution set of -4x < -6y - 54.

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.



Since the Question seems to be incomplete, The Correct inequality in the question could be  -4x < -6y - 54.
Here, graph C represents the inequality. Because y-intercept is y = -9
and the x-intercept for the inequality is x = 13.5. And it's below shaded and no boundary element can be included because of < sign.


Thus, the graph best represents the solution set of -4x < -6y - 54 graph C. Option C is the correct option.

Learn more about inequality here:

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The question given is incomplete, Answer is correct for the solution is based on the assumed data mentioned in the question.

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

can someone help me my brain hurts​

Answers

Answer:

The correct answer is: Option 2

[tex]y+1 = \frac{8}{9}(x+4)[/tex]

Step-by-step explanation:

Point-slope form of an equation is given by:

[tex]y-y_1= m(x-x_1)[/tex]

Here m is the slope of the line and (x1,y1) is the point from which the line passes

Given points are:

(-4,-1) and( 5,7)

Slope is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{7-(-1)}{5-(-4)}\\m = \frac{7+1}{5+4}\\m = \frac{8}{9}[/tex]

Now we will put the first point and slope in general form of equation of line

[tex]y-(-1) = \frac{8}{9}(x-(-4))\\y+1 = \frac{8}{9}(x+4)[/tex]

Hence,

The correct answer is: Option 2

[tex]y+1 = \frac{8}{9}(x+4)[/tex]

what one is going slower​

Answers

Car A is going slower
Car A because the slope is slower you can tell by how fast B is going up

solve for X . Please help !! :)

Answers

Answer:

10

Step-by-step explanation:

thats the answer

x=5

2x=10

x√3=√170

Please help and explain!!!

Traveling with the wind, Jerry takes 10 minutes to bike to the local library. Traveling against the wind, it takes him 15 minutes. The library is 2.5 km away. What is Jerry's bicycling speed in still air?

Answers

Answer:

[tex]0.2\ km\ per\ minute[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]

[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]

Please help me I’m stuck!!

Answers

Answer:

Step-by-step explanation:

RMJ = MPT = 90                     Perpendicular lines create right angles (90o)

PM = RJ                                   Given

TM = MJ                                   Definition of a midpoint

PT = MR                                   Two equal legs of a right triangle makes the third   side of each equal by a^2 + b^2 = c^2

ΔPTM = ΔJMR                               Side Side Side

There are other ways of doing this. This is one way.

In 1992, Jason bought a gallon of gas for $1.17. Yesterday, he bought a gallon of gas for $2.21. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.

Answers

The percentage increase is 78.68% for your correct answer

What is w²+2xy if x= - 3, w= - 2, and y=1?

Answers

first, plug the numbers into the equation:

(-2)^2+2(-3)(1)

then do your exponents:
-2 times -2 = 4
4+2(-3)(1)

multiply and add:
4+-6

answer:
-2

Answer:

-10

Step-by-step explanation:

w2 is -2x-2

2xy is getting times together -3x1

The sum of two numbers is 8. When four times the smaller
number is added to two times the larger number, the result
is 18. What is the larger number?
7
6
5
4​

Answers

Answer:

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller  number is added to two times the larger number, the result  is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

              4a + 2b = 18

<=> a = 1

     b = 7

=> the larger number is 7

Step-by-step explanation:

The table shows the derivation of tan(2x). Select the correct reason for each step.
Reason 1 is:
Reason 2 is:
Reason 3 is:

Answers

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

I just did it on edge 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

It cost Kaylee $7.26 to send 66 text messages. How much does each text cost to send?

Answers

Answer:

0.11

Step-by-step explanation:

7.26 / 66 = 0.11

hope this helps <3

0.11 is the answer to your question

Which statement does NOT correctly describe the order of operations (PEMDAS)?

A.Multiplication always comes before addition.
B.Multiplication is always before division.
C.Solve exponents after parenthesis.
DSolve subtraction after addition unless subtraction is on the left side of addition.

(Help meh A.P.S)

Answers

Answer:

I think it’s D

Step-by-step explanation:

Given g(x)=2x+3, solve for x when g(x)=3

Answers

Answer:

-3/2

Step-by-step explanation:

The following is a list of heights for 6 six-year-olds.

50 inches, 47 inches, 36 inches, 42 inches, 47 inches, 45 inches

The median height for these children is 46 inches.

What would happen to the median height if the 50-inch measurement was changed to 47 inches?

A. The median would increase.
B. The median would decrease.
C. The median would stay the same.
D. The median would decrease, then increase.

Answers

Answer:

option b the median would decrease

4 The function c(t) = 1.5t + 15 models the cost of a medium pizza, in dollars), based on the number of toppings, (t). Which of the following statements are true based on the function? Select all that apply. ​

Answers

Answer:

gay

Step-by-step explanation:

A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=15000+3000x, where x is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.

PLZ HELP!

Answers

Answer:

This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.

Step-by-step explanation:

This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.

Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.

Domain = [0, ∞)

If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.

Range = [15000, ∞)

please give thanks and click heart button :)

Answer the following algebraic equation:

3x-5+9(72/8)+4=2(4x-6)

Point Value- 20 points

Answers

Answer:

X=18.4

Step-by-step explanation:

3x-5+9(72/8)+4=2(4x-6)

3x-5+9(9)+4=2(4x-6)

3x-5+81+4=8x-12

3x-5+85=8x-12

3x+80=8x-12

3x-8x=-12-80

-5x=-92

x=-92/-5

x=18.4

Checking our work:

3(18.4)-5+9(72/8)+4=2(4(18.4)-6)

55.2-5+9(9)+4=2(73.6-6)

55.2-5+81+4=2(67.6)

50.2+85=135.2

135.2=135.2

Find the number that belongs in the green box.

Round your answer to the nearest tenth.​

Answers

Answer:

40.6 degrees

Step-by-step explanation:

SOHCAHTOA

here, the tan of the missing angle = opposite / adjacent

tan(x) = 6/7

using graphing calculator obtain x = 40.61, round to 40.6 for nearest tenth

please give a heart and crown :)

You’re throwing a party and you need 5 liters of juice for ever 12 guests. if there are 60 guests, how many liters of juice will you need?? help!

Answers

Answer:

25 liters

Step-by-step explanation:

60/12=5

5*5=25

Answer:

25 liters of juice

Step-by-step explanation:

5 liters of juice=12 guests Multiply both sides by 5

25 liters of juice=60 guests


PLEASE HELP ILL GIVE 17 POINTS AND BRAINLIEST
The angle of elevation from a point on level ground to the top of a 50-ft tree is 25". How much closer to the tree does a point on the ground need to be for the measure of the angle of elevation to be twice the measure of the original angle? Round to the nearest tenth
A. 653
B. 778
C. 416
D. 1072

Answers

The answer is A

In this problem, we're dealing with tan since we're working with the opposite and adjacent sides.

Remember SOH CAH TOA which means

Sin: Opposite over Hypotenuse,

Cos: Adjacent over Hypotenuse,

and Tan: Opposite over Adjacent

to remember what sin cos and tan means

So to set up a tan equation we have to do

tan(angle) = opposite side length/adjacent side length

The first equation is tan(25) = 50/x

because we have to find the length of the adjacent side so we can find how far away the tree is.

which is about 107.2 ft

The second equation is tan(50) = 50/x

because now we have to find how far away the tree is once the angle of elevation is twice the measure of the original angle (which is 50)

which is about 41.9 ft

After we subtract the two values, you get 65.3 so the answer is A.

I hope this helps!

Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

What is the right-angle triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The angle of elevation from a point on level ground to the top of a 50-ft tree is 25".

Since it makes a right-angle triangle with the tree that has a height of 50

Also given, At another angle from the ground that is twice the previous angle calculate the base.

Thus, the new angle will be 50°

thus, the base of the triangle:

Since. tan α = height/ base

in our case, α is 50°

height = 50 ft

tan α = 50 / base

base = 50/tan 50°

Base = 41.95 ft

therefore, Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

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What is 10% of 60? Explain how you calculated your answer

Answers

Answer:

6

Step-by-step explanation:

10 percent decimal form = 0.10

60 * 0.10 = 6

For every `8` boys wearing neon blue, there are `2` girls wearing neon blue. If there are `32` boys wearing neon blue, how many girls are wearing neon blue?

Answers

Answer:

8:2

32:8

Step-by-step explanation:

It's pretty simple:

If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.

8x4

2x4

32:8 Hope this helps

Answer:

8 girls are wearing neon blue.

Step-by-step explanation:

There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.

Ismael is trying to figure out which rock-climbing gym has the best rates. The different rates for two different gyms are below.

Answers

Answer:

Boulders:

1 - 10

2 - 20

3 - 30

4 - 40

5 - 50

Manhattan Rocks:

1 - 15

2 - 20

3 - 25

4 - 30

5 - 35

B. 10 hours, Ismael should go to Manhattan Rocks because 35 times 2 is 70 and 50 times 2 is 100. Manhattan Rocks would only be 70 compared to 100.

C. is for you to decide

Step-by-step explanation:



Evaluate
f(x) = 3x + 10 over the domain {0, 6, 12, 24}.What is the range of f(x)?

Answers

Answer:

10, 28, 46, 82

Step-by-step explanation:

this could be wrong im  not very good with domain and range

Please help really fast!!!

Answers

the answer for this question is 65

Answer:

The answer is

[tex] \sqrt{65} [/tex]

Step-by-step explanation:

We need to find the distance as instructed.

Its formula is:

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } [/tex]

Let's plug in according to the formula and solve.

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } \\ d = \sqrt{( - 7 - 1) ^{2} + (2 - 3)^{2} } \\ d = \sqrt{64 + 1} \\ d = \sqrt{65} [/tex]

PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!

Answers

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help

Answers

Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD

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