Solving linear equations

Solving Linear Equations

Answers

Answer 1

Answer:

1. P = [tex]\frac{I}{rt}[/tex]

2.  y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         (depending on how you want the equation arranged)

3. c = [tex]\frac{a-bd}{b}[/tex]

4 t = [tex]\frac{A - p }{pr}[/tex]

Step-by-step explanation:

1. I =Prt for P:

I = Prt                           divide both sides by rt to isolate P

P = [tex]\frac{I}{rt}[/tex]

2. 3x + 11y = 6 for y

   3x + 11y = 6                  subtract 3x from both sides

   11y = 6 - 3x                   divide both sides by 11

   y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         depending on how you want the equation arranged

3. a = b(c + d) for c

   a = b(c + d)                distribute b to (c+d)

   a = bc + bd                subtract bd from both sides

   a - bd = bc                 divide both sides by b

   c = [tex]\frac{a-bd}{b}[/tex]

4. A = p + prt for t

   A = p + prt                   subtract p from both sides

   A - p = prt                    divide both sides by pr

   t = [tex]\frac{A - p }{pr}[/tex]


Related Questions

what is 1+1?
(serious question)

Answers

Answer:

2

Step-by-step explanation:

4 1/6 divided by 10

Answers

Answer:

~0.42

Step-by-step explanation:

Convert the fraction (4 1/6) to an improper fraction

25/6 = improper form

Now convert the improper fraction to a decimal

4.166666666666667

Now we can divide that by 10

4.166666666666667 ÷ 10

0.4166666666666667

And we can round that up to the nearest hundredth

4 or less, let it rest, 5 or more, let it sore

0.42

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.

50 points !!!!!

Answers

Answer:

-1 < v < 9

Step-by-step explanation:

Given inequality

|4 - v| < 5

a. The two inequalities:

1.    4 - v < 5

v > 4 - 5v > -1

2.   4 - v > -5

v < 4 - (-5)v < 9

b. Solution is the combination of the above two:

-1 < v < 9

c. The graph is attached

Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?

Answers

Answer:

They complete the hill in 8 hours

Step-by-step explanation:

Equations:

Let's call the variables:

Aran can make build the ant hill in A hours

Beatrice can make build the ant hill in B hours

Charlie can make build the ant hill in C hours

In one hour, Aran makes 1/A of the ant hill.

In one hour, Beatrice makes 1/B of the ant hill.

In one hour, Charlie makes 1/C of the ant hill.

Aran and Beatrice build it in 10 hours, thus:

[tex]\displaystyle \frac{1}{A}+\frac{1}{B}=\frac{1}{10}\qquad\qquad[1][/tex]

Similarly:

[tex]\displaystyle \frac{1}{A}+\frac{1}{C}=\frac{1}{12}\qquad\qquad[2][/tex]

[tex]\displaystyle \frac{1}{B}+\frac{1}{C}=\frac{1}{15}\qquad\qquad[3][/tex]

We need to find the time taken for the three ants to build the anthill:

[tex]\displaystyle \frac{1}{A}+\frac{1}{B}+\frac{1}{C}=[/tex]

Adding [1], [2], and [3]:

[tex]\displaystyle \frac{2}{A}+\frac{2}{B}+\frac{2}{C}=\frac{1}{10}+\frac{1}{12}+\frac{1}{15}[/tex]

Adding the fractions (LCM=60):

[tex]\displaystyle \frac{2}{A}+\frac{2}{B}+\frac{2}{C}=\frac{6}{60}+\frac{5}{60}+\frac{4}{60}[/tex]

[tex]\displaystyle \frac{2}{A}+\frac{2}{B}+\frac{2}{C}=\frac{6+5+4}{60}=\frac{15}{60}=\frac{1}{4}[/tex]

Dividing by 2:

[tex]\displaystyle \frac{1}{A}+\frac{1}{B}+\frac{1}{C}=\frac{1}{8}[/tex]

All ants together make 1/8 of the hill, thus they complete the hill in 8 hours

BRAINLIEST FOR WHOEVER SOLVES
ameliaswan

Answers

Answer:

8/22 for the first box and 2 for the second box.

Step-by-step explanation:

Because the 2 extremes are 10/5 and 8/22, those would be the two answers.

Answer:

Step-by-step explanation:

Determine the interval(s) where f(x) = In (9x - 81) is continuous.​

Answers

Answer: (9, ∞)

Step-by-step explanation:

You cant take the natural log of a negative number, and you cant take the natural log of 0. So, to find the intervals where the function is defined, set the inside of the natural to 0.

9x - 81 = 0

x = 9

The intervals where this function is continuous is from 9 --> infinity

carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?

Answers

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

4(2x - y) - 3x + 2y

Answers

Answer:

5x - 2y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

4(2x - y) - 3x + 2y

Step 2: Simplify

Distribute 4:                                                                                                    8x - 4y - 3x + 2yCombine like terms (x):                                                                                  5x - 4y + 2yCombine like terms (y):                                                                                  5x - 2y
The answer is 5x-2y 1. 4(2x-y) -3x+2y 2. 8x-4y-3x+2y

Select ALL of the correct answers. COULD BE more than one answer.

Answers

Answer:

This study uses a control group

This study uses a repeated measures design

Step-by-step explanation:

Hope it help

Please mark me as brainliezt

Sorry if my answer is wrong

Y is directly proportional to x squared if y=20 when x=2 find y when x= 5

Answers

Answer:

y = 125

Step-by-step explanation:

Given that,

y is directly proportional to x² i.e.

[tex]y=kx^2[/tex]

k is a constant of proportionality

Put y = 20 and x = 2 in the given equation to find k.

[tex]k=\dfrac{y}{x^2}\\\\k=\dfrac{20}{(2)^2}\\\\k=5[/tex]

Now put k = 5 and x = 5 in the given equation to find y.

[tex]y=5\times (5)^2\\\\y=125[/tex]

So, the value of y is equal to 125.

8x + 3 – 13
31 - 21 - 11

Answers

Answer:  8x+10

-1

Step-by-step explanation:

A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours

Answers

Answer:

4 hours and 45 minutes

Step-by-step explanation:

8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes

Kevin is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?

Answers

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

The shape below is a horizontal cross section of a figure. Select all the possible figures that could have this shape as a cross section. A Sphere B Rectangular Prism C Triangular pyramid D Rectangular pyramid

Answers

Answer:

D. Rectangular prism

Step-by-step explanation:

I believe the answer is D. Rectangular prism

A rectangular prism is also called a cuboid. Like cuboid, it also has three dimensions, i.e., length, width and height. So here the horizontal cross section of the figure is rectangular prism. The correct option is B.

What is a rectangular prism?

A rectangular prism is defined as a three dimensional shape which has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. A geometrical box, notebooks, rooms, etc. are in the shape of a rectangular prism.

A rectangular prism has 6 faces, 12 edges and has 8 vertices. For a rectangular prism the pairs of opposite faces are identical or congruent. A prism with six faces that are rectangles and all angles are right angles is a right rectangular prism.

Thus the correct option is B.

To know more about rectangular prism, visit;

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If the root of x2-7x+k=0, m=1, find the value of the constant k

Answers

Answer:

hfrhghubifhvfuovhtjopugjob

Step-by-step explanation:

What is the equation of the line going through the points (2, 4) and (4, 12)

Answers

Answer:

m= 4

b= -12

( 4, -12)

Step-by-step explanation:

m= y2- y1/ x2-x1

m= 12 - 4/ 4 - 2

m= 8/ 2

m= 4

y= 4x + b

(2,4)

4= 4(4) + b

4= 16 + b

-16+4= b

-12= b

b= -12

Decrease 60kg by 40%

Answers

40% of 60kg is 24 kg. Therefor the answer is 36 kg

Answer:

36 KG

Step-by-step explanation:

This is how I did it:

60 x 0.6 = 36

1 = 100%

0.4 = 40%

but you have to decrease so

100% - 40% = 60%

60% = 0.6

Make P the subject of the formula
pliz pliz ans this​
A= P(1+(r/100))^t

Answers

Answer:

P = A / (1 + r/100)ᵗ

Step-by-step explanation:

A = P(1 + r/100)ᵗ

We can make P the subject of the above expression as follow:

A = P(1 + r/100)ᵗ

Divide both side by (1 + r/100)ᵗ

P = A / (1 + r/100)ᵗ

Therefore, making P the subject of

A = P(1 + r/100)ᵗ, we have

P = A / (1 + r/100)ᵗ

The expression (2x + 6) + x represents the perimeter of an isosceles triangle. If x represents the length of one side of the triangle, explain how you can use Distributive Property to find the length of each of the two equivalent sides?

Answers

Answer:

x+3

Step-by-step explanation:

x= one side of the triangle

(2x+6)=two sides of the isosceles triangle

Factor (2x+6) which is 2(x+3)

So, the length of each side is x+3.

How do I answer this?

Answers

9514 1404 393

Answer:

  A.  (-∞, ∞)

  B.  (-∞, 0) U (0, ∞)

Step-by-step explanation:

A. Though the attached calculator disagrees, the value of the derivative of f(x) is actually defined at x=0. Its value is 0. There is a discontinuity in the second derivative at x=0, but both the derivative and the function are continuous there.

  differentiable on (-∞, ∞)

__

B. The derivative is discontinuous at x=0, so is undefined there. The function is differentiable everywhere else.

   differentiable on (-∞, 0) U (0, ∞)

_____

The graphs of f(x) and its derivative are red and dotted orange, respectively.

The graphs of g(x) and its derivative are purple and dotted blue, respectively.

There are overlaps, which is why we chose to make some graphs dotted.

13. What is the slope of the line of best fit for the given
graph?
a) -0.3
b) 0.3
d) -3
c) 3
0

Answers

I would say 0.3. This is because the slope is positive but less than 1. Sorry that’s not the best explanation

Sam invested $7500, some at 7% interest and the rest at 10%. How much did he invest at each rate if he received $570.00 in interest in one year?

Answers

Answer:

.

Step-by-step explanation:

11. What percent of this circle is shaded if you have 1/3 and 5/12?

Answers

Answer:

Epic

Step-by-step explanation:

you can do it trust me.

See attached picture

Answers

Answer:

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x + h[/tex]

Step-by-step explanation:

Given

[tex]f(x)= x^2 + 2[/tex]

Required

Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]

First, we calculate f(x + h)

[tex]f(x)= x^2 + 2[/tex]

[tex]f(x+h) = (x+h)^2+2[/tex]

[tex]f(x+h) = x^2+2xh+h^2+2[/tex]

So, we have:

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{x^2 + 2xh + h^2 + 2 - x^2 - 2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]= \frac{x^2 - x^2+ 2xh + h^2 + 2 - 2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{2xh + h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x + h[/tex]

A strawberry farmer will receive 37 per bushel of strawberries during the first week of harvesting each week after that the value will drop 0.8 per bushel the farmer estimates that there are approxiamately 129 of strawberries int he fieldsand that the crop is increasing at a rate of four bushels per week when should the farmer harvest the strawberries to maximize their value? (Assume that "during the first week of harvesting" here means week 1. How many bushels of strawberries will yield the maximum value? (Round your answer to the nearest integer.)
bushels
2. What is the maximum value of the strawberries? (Round your answer to two decimal places.)
$

Answers

Answer:

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

b.)

Revenue = bx = (157)(31.4) = $ 4929.8

Step-by-step explanation:

Let number of bushes = b

The price of the bushes = x

The time to harvest = t

The revenue = y

Now given,

Price = x = 37 - (0.8)t

and

Number of bushes = b = 129 + 4t

Also,

The revenue = (Number of bushes)(Price of the bushes)

                     = bx

                     = (129 + 4t)[37 - (0.8)t]

                     = 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²

                     = 4773 - 103.2t + 148t - 3.2t²

                     = 4773 + 44.8t - 3.2t²

⇒ y = 4773 + 44.8t - 3.2t²

Now,

[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t

Now,

[tex]\frac{dy}{dt}[/tex] = 0

⇒ 44.8 - 6.4t = 0

⇒ - 6.4t = -44.8

⇒ 6.4t = 44.8

⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]

Now,

[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4

As [tex]\frac{d^{2}y }{dt^{2} }[/tex]  < 0 ,

It means at time t = 7 , the revenue is maximum

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4

b.)

Revenue = bx = (157)(31.4) = 4929.8

Find the 15th term of the geometric sequence 1, -4, 16, ...

Answers

Answer:

Answer is 268435456

Step-by-step explanation:

use an = a × ^r n-1 to find the sequence

The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456.

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

As per the given sequence,

1, -4, 16, ...

First term a = 1

Common ratio r = -4/1 = -4

The nth term is given as ar^(n - 1)

Therefore, the 15th term will be as,

a₁₅ = 1(-4)¹⁵⁻¹

a₁₅ = -4¹⁴ = 268435456

Hence "The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456".

For more information about the geometrical progression,

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What is the midpoint of the segment with endpoints (0,7) and (5,2)

Answers

Answer:

( 2.5 , 4.5 )

Step-by-step explanation:

What procedure can be used to solve the equation StartFraction x Over 19.3 EndFraction = 38.6, and what is the solution?

Answers

Answer: it’s number D I think let me know if I’m wrong

Step-by-step explanation:

Answer:

the answer is d.Multiply both sides by 19.3; the solution is 744.98.

Step-by-step explanation:

got it right on edge.

How can this expression be written another way?
60x - 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes.

Answers

Answer:

factor using 12 (gcf)

12(5x-2)

Hello! I'm having a problem figuring out this problem: 6c-9d=111 5c-9d=103

I've been looking at different ways to solve it, but I'm not sure how to do it. Please, help give me a step-by-step instruction on how to figure it out. (I'll make you the most Brainliest answer.) (And, you'll get a good amount of points.)

Answers

Answer:

C=8

Step-by-step explanation:

   6c-9d=111

-) 5c-9d=103

   6c-5c=c

-9c+9c=0

111-103=8

(Negative+Negative=Positive)

          C=8

I need Brainliest!

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