Make t the subject of the formula

Make T The Subject Of The Formula

Answers

Answer 1
the answer is t= 3m+ 1 / m-1
Answer 2

t = (3m -1) / (m - 1)

What is subject of formula?

The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.

In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.

Given formula.

m = t + 1 / t - 3

m ( t - 3) = t - 1

mt - 3m = t - 1

mt - t = 3m - 1

t(m - 1) = (3m - 1)

t = (3m -1) / (m - 1)

Hence, the formula becomes t = (3m -1) / (m - 1).

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Related Questions

3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *

A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units

Answers

Answer:

C

Step-by-step explanation:

To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!        

Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?

Answers

Answer:

Step-by-step explanation:

Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.

In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:

P = 4s = 4(10.8) = 43.2 feet

Therefore, Rob needs 43.2 feet of border to place around the ceiling.

Since he has purchased 50 feet of border, he will have:

50 - 43.2 = 6.8 feet

Rob will have 6.8 feet of border left after placing it around the ceiling.

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Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam

Answers

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

[tex]\frac{27}{x}= \frac{90}{100}[/tex]

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

Answer:

There are 30 total questions on the exam

Explanation:

90% = 0.9

0.9 x TOTAL = 27

27/ 0.9 = TOTAL

30 = TOTAL

Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?

Answers

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

HELP ASAP!! WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)

Answers

Answer:

[tex]m=-3[/tex]

The slope is negative.

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 19)

Point (-1, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify:                        [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add:               [tex]m=\frac{-12}{4}[/tex]Divide:                          [tex]m=-3[/tex]

what is -2(15 ÷ 5) + 7(-2)

Answers

Answer:

-20

Step-by-step explanation:

Im so confused pls help

Answers

Step-by-step explanation:

[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]

[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]

f(x) = g(x)

[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]

4x - 21 = 2

x = (21 + 2)/4

x = 5.75

Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer​

Answers

Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

Why would a deferred annuity or annuities due be preferred as a retirement investment?

Answers

I believe the answer is: The tax deferred nature.

Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.

Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.

Answers

Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).

Answers

Answer:

Y=3x+12 (its the first option)

Step-by-step explanation:

I did the assignment.

The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Given :

The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):

Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

Step 2 - The one-point form is given below:

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

Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.

Step 4 - Now, substitute the values of slope and the point in the above expression.

[tex](y+3) = 3 (x+5)[/tex]

y = 3x + 2

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Evaluate the following expression. Type your answer as a number.

8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know

Answers

its 2

Hope this helps! <3

Giving brainiest explain answer

Answers

Answer:

B.) Carrier B

Step-by-step explanation:

The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.

Might be a bit confusing, but hope it helps.

Find x (Type the number answer)

Answers

He’s with his other girl TvT

Answer:

18.41

Step-by-step explanation:

[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]

3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?

Answers

Answer:   $117.72

======================================================

Explanation:

Let's say that the company is valued at $300 just as a simple example.

Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.

A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.

After doing this split, we would have 3*100 = 300 shares and each share would be now worth (1/3)*3 = 1 dollar. Note the new number of shares multiplied with the new value per share is still the same total valuation of $300. Doing a stock split, or a reverse stock split, will not change the value of the company. This is a good thing or else companies would simply do (reverse) splits all the time to increase their value however large they wanted without actually contributing anything to society.

------------------------

So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.

Let

x = old price per share

y = new price per share

So x happens before the split and y is after the split.

For a 3-to-1 split, we can form this equation

y = (1/3)x

which solves to

x = 3y

when we multiply both sides by 3

We know that y = 39.24, which means,

x = 3y

x = 3*39.24

x = 117.72

The pre-split price per share was $117.72

------------------------

So in short, all we did was multiply the given number (39.24) by 3.

Help me plzzzzz
A cyclist rides her bike at a speed of 9 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round your answers.

Answers

Answer:

per minute: 0.15 km

in 10 minutes: 1.5

Step-by-step explanation:

there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.

Please answer correctly !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

∠3, it is quite clear

Step-by-step explanation:

Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56

Answers

Answer:

B. 3:24, D. 5:40 E.7:56

Step-by-step explanation:

3:24 = 1:8 (Dividing by 3)

5:40 = 1:8 (Dividing by 5)

7:56 = 1:8 (Dividing by 7)

The ratios that are equivalent to 1:8 are:

3:24, 5:40, and 7:56.

Options B, D, and E are the correct answer.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A)

16:2

= 16/2

= 8/1

= 8:1

B)

3:24

= 3/24

= 1/8

= 1:8

C)

4:12

= 4/12

= 1/3

= 1:3

D)

5:40

= 5/40

= 1/8

= 1:8

E)

7:56

= 7/56

= 1/8

= 1:8

Thus,

3:24, 5:40, and 7:56 are equivalent to 1:8.

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Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?

Answers

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)

Answers

Answer:c

Step-by-step explanation:

Solve for p.
i = prt

p = i-rt
p = (rt)/i
p = i/(rt)

Answers

Answer:

[tex] \sf p = \dfrac{i}{rt} [/tex]

Step-by-step explanation:

Solve for p:

[tex] \longrightarrow [/tex] i = prt

i = prt is equivalent to prt = i:

[tex] \longrightarrow [/tex] prt = i

Divide both sides by rt:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]

[tex] \sf \dfrac{prt}{rt} = p: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]

Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)

Answers

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE

Answers

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 = ​

Answers

Answer:

12b+6e+9

Step-by-step explanation:

You multiply 3 with every number inside the parentheses.

(3x4b)=12b

(3x2e)=6e

(3x3)=9

Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!

Answers

Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }

Answers

Answer:

{ 4i, - 4i }

Step-by-step explanation:

Given

3x² + 48 = 0 ( subtract 48 from both sides )

3x² = - 48 ( divide both sides by 3 )

x² = - 16 ( take the square root of both sides )

x = ± [tex]\sqrt{-16}[/tex] = ± 4i

solution set is { - 4i, 4i }

Match the vocabulary word with the correct definition.

Answers

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

9. a - 2a +5
pls help i’m kinda dumb

Answers

a-2a +5= -a + 5 would be the answer
Answer: -a+5
First you combine like terms
a-2a equals -a
After that you can’t combine anything else
So the equation simplified is -a+5

I need help on this one

Answers

Answer:

A

Step-by-step explanation:

(-2,11) (4,-7) —> y2-y1/x2-x1= m. Then to find b take (4,-7) and plug those numbers into y=Mx+b

Steven is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 11.2 ounces of almonds, and 14.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

1.94 ounces are in each bag.

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.

From the question we are told that these amounts make 25 bags.

The number of ounces that are in each bag is calculated as:

25 bags = 48.5 ounces

1 bag = x ounces

Cross Multiply

25 bags × x ounces = 1 bag × 48.5 ounces

x ounces = 1 bag × 48.5 ounces/25 bags

x ounces = 1.94 ounces

Therefore, there are 1.94 ounces in each bag

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