RS has endpoints R(-11, 10) and S(-6, -5). Point T divides RS such that ST:TR is 2:3.
What are the coordinates of T?
Write your answers as integers or decimals.
()

Answers

Answer 1

Check the picture below.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ S(-6,-5)\qquad R(-11,10)\qquad \qquad \stackrel{\textit{ratio from S to R}}{2:3} \\\\\\ \cfrac{S\underline{T}}{\underline{T} R} = \cfrac{2}{3}\implies \cfrac{S}{R} = \cfrac{2}{3}\implies 3S=2R\implies 3(-6,-5)=2(-11,10)[/tex]

[tex](\stackrel{x}{-18}~~,~~ \stackrel{y}{-15})=(\stackrel{x}{-22}~~,~~ \stackrel{y}{20}) \implies T=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-18 -22}}{2+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-15 +20}}{2+3} \right)} \\\\\\ T=\left( \cfrac{ -40 }{ 5 }~~,~~\cfrac{ 5}{ 5 } \right)\implies {\Large \begin{array}{llll} T=(-8~~,~~1) \end{array}}[/tex]

RS Has Endpoints R(-11, 10) And S(-6, -5). Point T Divides RS Such That ST:TR Is 2:3.What Are The Coordinates

Related Questions

Solve the equation 4 > lxl + 1

Answers

Answer:A) 3

Step-by-step explanation:

The following shows the allowances before a tax of 25% is applied;

•Personal allowance = $40 000
•Spousal allowance = $10 000
•Dependent allowance = $8 000 for each dependent

Tom earns $180 000 per year in his position at a company. He is married with two kids.
Solomon earns $200 000 per year at the same company. He is single.

(a) What are the total allowances for each of the men?
(b) What is Tom’s net income?
(c) What is Solomon’s net income?

Answers

Considering the given allowances, it is found that:

a) Tom's allowances are of $66,000, while Solomon's are of $40,000.

b) Tom's net income is of $151,500.

c) Solomon's net income is of $160,000.

What is the effect of an allowance on taxes?

An allowance is an exemption in the taxable income of a person, meaning that taxes are not paid over this amount.

Solomon is single, hence he only has the personal allowance of $40,000, and his net income will be of:

Solomon's net income = 0.75 x 160,000 + 40,000 = $160,000. (75% because 25% of the amount not claimed in allowances is paid in taxes).

Tom's allowances are given as follows:

Personal: $40,000.Spousal: $10,000, as he is married.Dependent: 2 x $8,000 = $16,000, one for each kid.

Hence his total allowances are of:

$40,000 + $10,000 + $16,000 = $66,000.

His net income will be of:

Tom's new income = 0.75 x 114,000 + 66,000 = $151,500.

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Graph using slope-intercept form.
3x-2y<10

Answers

Answer:

3x-2y=10

2y=3x-10

Y=(3/2)x-5

Slope m=3/2

Answer:

See attachment.

Step-by-step explanation:

Slope-intercept form:

[tex]\boxed{y=mx+b}[/tex]

where:

m = slopeb = y-intercept

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

Given inequality:

[tex]3x-2y < 10[/tex]

Rearrange the given inequality to make y the subject:

[tex]\implies 3x-2y+2y < 10+2y[/tex]

[tex]\implies 3x < 10+2y[/tex]

[tex]\implies 3x-10 < 10+2y-10[/tex]

[tex]\implies 3x-10 < 2y[/tex]

[tex]\implies 2y > 3x-10[/tex]

[tex]\implies \dfrac{2y}{2} > \dfrac{3}{2}x-\dfrac{10}{2}[/tex]

[tex]\implies y > \dfrac{3}{2}x-5[/tex]

Compare this with the slope-intercept form.  

Therefore:

slope = ³/₂y-intercept = (0, -5)

When graphing inequalities:

< or > : dashed line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.

To graph the given inequality using its slope and y-intercept:

Plot the y-intercept → point (0, -5).  As the slope is ³/₂, plot another point 3 units up and 2 units right from (0, -5)  → point (2, -2).  Draw a dashed straight line through the two points.Shade above the line.

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7. If f(x) = -x + 7, what is f(15)?Of(15) = 22f(15) = -22Of(15) = -8f(15) = 8

Answers

the fuction f(x) is equal to:

[tex]f(x)=-x+7[/tex]

now, to evaluate f(15) we have to replace x=15 so the equation is going to be equal to:

[tex]f(15)=-15+7=-8[/tex]

what is the domain of the relation shown below?

Answers

The correct option C { -3, 1, 2, 6} is the domain of the relation given.

What is described as the domain?A function's domain is the set of the all the values within which the function is defined, and its range is the set of all values which f takes.The domain of such a function is indeed the set of values that can be plugged into it. This set contains the x values together in function like f(x). A function's range is the set of values which the function can take. This is the set of values that function returns after we enter an x value.

For the given relation in the question;

The values which are input in the function is called domain.

In put values are -  { -3, 1, 2, 6}

Thus, domain of the given relation is  { -3, 1, 2, 6}.

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The graph below shows the relationship between population density and pollution per person for 36 Japanese cities.what is the best description of this relationship?____________________* Positive linear association* Negative linear association* Nonlinear association* No association

Answers

Answer:

No association

Explanation:

If there is a positive linear association, the graph would show something close to a straight line with a positive slope.

In the same way, if there is a negative linear association, the graph would be a straight line with a negative slope

If there is a nonlinear association we would see a curve.

Since all the data is dispersed in the graph, we can say that the best description of this relationship is No association.

on a coordinate plane, point a is located (-2,2) and point b is located at (6,-1). determine the coordinates of the point that is 7/8 of the distance from a to b

Answers

The coordinates of the point between points a to b are (5, -5/8)

How to determine the coordinate of the point on the line segment?

We have the following endpoints on the segment

A = (-2, 2)

B = (6, -1)

The line ratio is given as the following fraction

Ratio, m : n = 7/8

Express the fraction as a ratio

So, we have

m : n = 7 : 8 - 7

Evaluate the difference

So, we have

m : n = 7 : 1

The coordinate of the point is then calculated as

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

Substitute the known values in the above equation

Point = 1/(7 + 1) * (7 * 6 + 1 * -2, 7 * -1 + 1 * 2)

Evaluate the products in the above equation

So, we have

Point = 1/8 * (42 -2, -7 + 2)

Evaluate the sum and the difference

So, we have

Point = 1/8 * (40, -5)

Evaluate the products

So, we have

Point = (5, -5/8)

Hence, the coordinates of the point that is 7/8 of the distance from a to b are (5, -5/8)

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What i5 divided by 312

Answers

The value derived when 5 is divided by 312 is 62.40.

What is the value of the division?

Division is the process of putting a number into distinct equal groups using another number.  The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other mathematical operations include addition, subtraction and multiplication.

312  ÷ 5 = 62.40

The long division is:

      62.4

5[tex]\sqrt{312}[/tex]

 - 30  

       12

     - 10

          20

        - 20

          00

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2x-9/x-7 + x/2 = 5/x-7

Answers

So the answer is X1 = 5.51 and X2 = -0.85

Which expression is equivalent to one third times the quantity 2 times x plus 12 end quantity minus 14 over 15 times x?
one and three fifths times x plus four
four fifteenths times x minus 4
negative four fifteenths times x minus four
negative 4 over fifteen times x plus four

Answers

Option Negative 4 over fifteen times x plus four is equivalent to expression one third times the quantity 2 times x plus 12 end quantity minus 14 over 15 times x.

Firstly writing the mentioned expression in mathematical form -

Expression = 1/3(2x + 12) - 14x/15

Simplifying the expression by performing multiplication

Expression = 2x/3 + 12/3 - 14x/15

Taking LCM of these three denominator, we get 15

Expression = 2x×5 + 12×5 - 14x/15

Performing multiplication in numerator of the Right Hand Side of the expression

Expression = 10x + 60 - 14x/15

Performing subtraction

Expression = - 4x + 60/15

Rewriting the expression

Expression = - 4x/15 + 60/15

Performing division on extreme Right Hand Side of the expression

Expression = - 4x/15 + 4

Thus, the correct equivalent expression is option negative 4 over fifteen times x plus four.

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A function and its graph are given. Find the domain. (Enter your answer using interval notation.)
f(x) =

x − 3
x − 8

Answers

The domain for the rational function is the set of all real numbers except for 8, this is written as:

{x | x ∈ R, x≠8}

How to find the domain of the given function?

For any function f(x), the domain is the set of the possible inputs.

In this case, we have the rational function:

f(x) = (x - 3)/(x - 8)

Now, we start by assuming that the domain is the set of all real numbers, and then we remove all the problematic values.

Now, we can't divide by zero, so the value of x that makes the denominator zero needs to be removed, that is such:

x - 8 = 0

x = 8

So the domain is the set of all real numbers except for 8, this is written as:

{x | x ∈ R, x≠8}

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One number is 16 more than two times another. Their sum is 58. Find the numbers.

Answers

The larger number is 44 and the smaller number is 14.

What are the numbers?

The first step is to develop a system of equations using the information provided in the question.

y = 2x + 16 equation 1

x + y = 58 equation 2

Where:

y = larger number

x = smaller number

The next step is to substitute for y in equation 2 using equation 1.

x + 2x + 16 = 58

Combine similar terms:

x + 2x = 58 - 16

Add similar terms together:

3x = 42

Divide both sides of the equation by 3:

x = 42 / 3

x = 14

Substitute for x in equation 2:

14 + y = 58

y = 58 - 14

y = 44

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Hello I need help please :)

Answers

The steps of finding the line that best fits a data set are the following:

1.- Draw and label the axes of a graph

2.- Plot the data points

3.- Choose two points that best fit the data set

4.- Find the slope of the line through the points

5.- Substitute one point in the equation y = mx+b

6.- Solve for b

7.- Write the complete linear equation

What is the probability of flipping a coin 7 times and getting heads 4 times?Round your answer to the nearest tenth of a percent.A. 27.3%B. 0.8%C. 5.5%D. 16.4%

Answers

We know that

• The probability of a head is 1/2.

,

• The probability of a tail is 1/2.

Notice that the number of times they flip a coin is 7. Since both probabilities are the same, we just have to multiply 1/2 seven times by itself.

[tex]P=(\frac{1}{2})^7[/tex]

Now, we multiply the probability with 7 since there are 7 possibilities.

[tex]P=7\cdot(\frac{1}{2})^7=7(0.0078125)=0.0546\approx0.055[/tex]

Then, we multiply by 100 to express it as a percentage.

[tex]0.055\cdot100=5.5[/tex]Therefore, the answer is C. 5.5%.

87 billion 295 million written out

Answers

eighty-seven billion two hundred ninety-five million

Answer: 87, 295,000,000 or eighty-seven two hundred ninety-five Billion

Im pretty sure

               

A project is budgeted for 1200 hours and will last 4 weeks. A labor covered 30% of the workload in the first two weeks and then covered 60% for the final two weeks. If a labor normally works 50 hours per week, how many total hours will the labor cover?​

Answers

Thus total number of labor is 15.6

What is basic algebra ?

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. Basic algebraic expressions like 2x + 4 = 8 are created by performing operations on variables and constants, such as addition, subtraction, multiplication, and division. These algebraic expressions serve as the mathematical statements.

1 st week:

30% of 1200 hour = 360 hour

1 labor = 50 hour

y =360 hour

y= [tex]\frac{360}{50}[/tex]=7.2 technicians

Final two weeks : 2nd and 3rd week

50% of (1200hr - 360hr)= 50% of 840hr=420hr

1 labor = 50 hr

2 labor  = 100hr

x = 420 hr

x = 420×[tex]\frac{2}{100} =\frac{420}{50}[/tex]

=8.4 technicians

Thus total number of labor = x+y

= 7.2 +8.4

=15.6

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jamies bought 23 cases of soda for her party. each case contain dozes cans


if her guest drank 223 can of soda how many cases were used

Answers

Answer:

4.416 or rounded just 4

Step-by-step explanation:

23×12=276

276-223=53

53÷12=4.416

Triangle pqr is rotated clockwise. The image is a pqr.

Answers

A rotation is a rigid transformation, this means that the shape changes location but does not change its size. So even if triangle PQR was rotated to P'Q'R', the side lengths remain the same so that

PQ=P'Q'= 9

QR=Q'R'= 12

RP=R'P'= 7

The same happens with the angles

Q=∠Q'=35°

R=∠R'=48|°

180-()35+48= 97°

So

P'Q'=9

P'=97|°

Please help I give points

Answers

Answer:

[tex]y=\frac{1}{5}x^2+\frac{9}{5}x+4[/tex] or y = 1/5x^2+9/5x+4 (they are the same just different formats)

Step-by-step explanation:

In this case we are given the intercepts of the parabola (aka another name for a quadratic function). Since the intercepts are given, it makes the most sense to use intercept form.
The basic formula for intercept form is:
y=a(x-b)(x-c) where a, b, and c are all constants
b and c are the x intercept values.
plug in the values:
y=a(x-(-4))(x-(-5))=a(x+4)(x+5)

y=a(x+4)(x+5)   let's call this equation 1

unfortunately, there is still an "a" at the beginning, but that's where the y intercept is used.
Since (0,4) is a solution to the equation: y=a(x+4)(x+5), the values can be plugged into this equation to solve for a.
In this case, x = 0 and y = 4, so plug in those values

4=a(0+4)(0+5) = a(4)(5) = 20a
a = 1/5
Now, plug "a" back into equation 1
y=1/5(x+4)(x+5) this is the intercept form. However, the question ask for standard form, so it must be expanded

FOIL the parentheses (expand it) to get:
y=1/5(x^2+9x+20) = [tex]\frac{1}{5}x^2+\frac{9}{5}x+4[/tex]

Which of the ten basic functions in
our toolkit have graphs that look the
same when reflected of the y-axis
and then reflected over the x-axis?

Answers

Answer:

  a)  x³, 1/x, x, sin(x)

Step-by-step explanation:

You want to know which list of functions has the same graph when reflected across both the y- and x-axes.

Odd function

Reflection across the y-axis transforms the function to ...

  f(x) ⇒ f(-x)

Reflection across the x-axis transforms the function to ...

  f(x) ⇒ -f(x)

Hence, reflection across both axes transforms the function to ...

  f(x) ⇒ -f(-x)

A function that has the characteristic that f(x) = -f(-x) is an odd function. Its graph is symmetrical about the origin. We can check to see if the functions of interest match this definition of an odd function:

  x³ = -(-x)³ . . . . true

  1/x = -(1/-x) . . . . true

  x = -(-x) . . . . true

  sin(x) = -sin(-x) . . . . true

  cos(x) = -cos(-x) . . . . false

  e^x = -e^-x . . . . false

  |x| = -|-x| . . . . false

The basic functions that are odd are ...

  x³, 1/x, x, sin(x)

2a + 3b = 8 and 4x + 10y = 50
(i) What is the value of 6a + 9b?
(ii) What is the value of 2x + 5y?

Answers

a. It should be noted that the equation illustrates that the value of 6a + 9b is 24.

b. The value of 2x + 5y is 25.

How to illustrate the information?

a. From the information, 2a + 3b = 8. The value of 6a + 9b will be:

6a + 9b = 3(2a + 3b)

This implies that the value will be multiplied by 3. Therefore, 8 × 3 = 24

(ii) What is the value of 2x + 5y?

4x + 10y = 50

It should be noted that this can be divided through by 2. This will be;

(4x + 10y = 50) / 2

2x + 5y = 25

The value is 25.

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Jaya's monthly bank statement showed the following deposits and withdrawals:

$31.87, -−$34.19, -−$58.47, $48.57, -−$13.16

If Jaya's balance in the account was $94.42 at the beginning of the month, what was the account balance at the end of the month?

Answers

If Jaya's balance in the account was $94.42 at the beginning of the month, then account balance at the end of the month is $69.04  .

In the question ,

it is given that Jaya's account balance at beginning of month was $94.42 ,

first transaction +$31.87 ,

means Jaya deposited $31.87

So Account balance = $94.42+$31.87 = $126.29

Second transaction -$34.19 ,

means Jaya withdraw $34.19

So Account balance = $126.29-$34.19 = $92.10

third transaction -$58.47 ,

means Jaya withdraw $58.47

So Account balance = $92.10-$58.47 = $33.63

fourth transaction +$48.57,

means Jaya deposited $48.57

So Account balance = $33.63+$48.57 = $82.20

fifth transaction -$13.16 ,

means Jaya withdraw $13.16

So Account balance = $82.20-$13.16 = $69.04

Therefore , if Jaya's balance in the account was $94.42 at the beginning of the month, then account balance at the end of the month is $69.04  .

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I’m confused on this and don’t know what to do please help

Answers

1) Substitute x and y

3(3)^3 + 2(4) -6

2) Solve

3(27) + 8-6

81 + 2

83

Answer is 83

Answer:

83

Step-by-step explanation:

3x³+2y-6

x= 3 and y = 4, we will plug in what x equals to for the x value, then we will plug in what y equals to for the y value

3(3³) + 2(4) - 6

now let's use order of operations (PEMDAS: parenthesis exponent multiplication division addition subtraction)

parenthesis first

3³ = 3·3·3= 27

3(27) + 2(4) - 6

there are no exponents so we will use multiplication

3·27 = 81

2·4=8

81 + 8 - 6

83

8. Rectangle R's perimeter remains 180 feet when
the length is halved and the width is doubled.
What are the dimensions of rectangle R?
(Hint: Perimeter = 2(l+w)
rectangle

Answers

The perimeter of 180, the length and width of the rectangle with maximum area are 45 and 45.

What is the maximum-area rectangle?The difference in length and breadth of any rectangle must be minimal for the area to be maximum. As a result, the length must be ceil (perimeter / 4) and the breadth must be floor (perimeter /4). As a result, the maximum area of a rectangle with a given perimeter is ceil(perimeter/4) * floor(perimeter/4). As a result, the area is greatest when the rectangle is square.

Let x= the length and y= the width of the rectangle.

The area of the rectangle A=x y

2 x+2 y=180 because the perimeter is 180.

Solve for y

[tex]$&2 y=180-2 x \\[/tex]

[tex]$&y=90-x[/tex]

Substitute for y in the area equation.

[tex]$&A=x(90-x) \\[/tex]

[tex]$&A=90 x-x^2[/tex]

This equation describes a parabola that extends down. The maximum value of the area is at the vertex.

Rewriting the area equation in the form [tex]$a x^2+b x+c$[/tex]

[tex]$A=-x^2+90 x \quad a=-1, b=90, c=0$[/tex]

The formula for the x coordinate of the vertex is

[tex]$x=\frac{-b}{2 a}=\frac{-90}{2 \cdot-1}=45[/tex]

The maximum area exists found at x=45

and  [tex]$y=90-x=90-45=45$[/tex]

Given a perimeter of 180, the proportions of the rectangle with the maximum area are 45 × 45

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Please help I don’t know how to solve this

Answers

(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

How far can a woman drive into the tiwnif she drives out at 40 miles per hour,return over the same rod at 30 miles per hour, and spends 8 hours away from home, including a 1 hour stop for luch

Answers

Given the time, the distance that the.womn drives will be 240 miles.

How to calculate the distance?

From the information illustrated, the woman drives out at 40 miles per hour, return over the same road at 30 miles per hour, and spends 8 hours away from home.

It should be noted that the average speed will be illustrated as:

= (2 × r1 × r2) / +r1 + r2)

= (2 × 40 × 30) / (40 + 30)

= 240/7

Since she drive for 7 hours, the distance will be:

= 240/7 × 7

= 240 miles.

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The length of a parking lot is 4 yards more than the width. If the area of the parking lot is 117 square yards, find the dimensions of the parking lot.

Answers

A parking lot's length is 4 yards longer than its width. The dimensions of the parking lot are width=9 and length =12.

Given that,

A parking lot's length is 4 yards longer than its width.

We have to determine the parking lot's measurements if the area is 117 square yards.

Let us take the width as x and we get the length as x+4.

We can write as,

x(x+4)=117

x²+4x=117

x²+4x-117=0

x²+13x-9x-117=0

x(x+13)-9(x+13)=0

(x+13)(x-9)=0

x+13=0    and     x-9=0

x=-13       and      x=9

Therefore, The dimensions of the parking lot are width=9 and length=12.

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I need help help with this geometry question

Answers

Solution:

Given the a figure;

The figure is a square with the unshaded region is a semi circle.

The measure of the side lengths of the square is 25 ft

To find the area, A, of the shaded region, the formula is

[tex]\begin{gathered} A=Area\text{ of Square}-Area\text{ of a semi circle} \\ A=(l^2)-(\frac{\pi r^2}{2}) \end{gathered}[/tex]

Where

[tex]\begin{gathered} l=25\text{ ft} \\ d\text{ is the diameter of the semi circle} \\ d=l=25\text{ ft} \\ r\text{ is the radius of the semi circle} \\ r=\frac{d}{2}=\frac{25}{2}=12.5\text{ ft} \\ r=12.5\text{ ft} \end{gathered}[/tex]

Substitute the values of the variables into the formula above

[tex]\begin{gathered} A=25^2-(\frac{\pi\cdot12.5^2}{2}) \\ A=625-245.4369 \\ A=379.5631\text{ ft}^2 \\ A=379.56\text{ ft}^2\text{ \lparen nearest hundredth\rparen} \end{gathered}[/tex]

Hence, the answer is 379.56 ft² (nearest hundredth)

5. Suppose that 25 acres of land is purchased, but because of roads and wetland concerns, 6 2/3 acres can not be developed into lots. How many 5/6 acre lots can the rest of the land be divided into?

Answers

22 lots of 5-6 acres each can be created from the remaining area.

What is acres?
The imperial and US customary systems both utilise the acre as a unit of land area. One chain by one furlong (66 by 660 feet) is the traditional definition, which is exactly equal to 10 square chains, 1/640 of a square mile, 4,840 square yards (43,560 square feet), and 4,047 (or around 40% of a hectare). An acre may be stated to be exactly 4,046.8564224 square metres based on the international yard and pound agreement of 1959.

Out of  25 acres of land 6 2/3 acres can not be developed into lots.

Therefore land that is left = 25 - 6 2/3 acres

= 25 - 20/3 acres

= 55/3 acres

No.of 5/6 acre lots can the rest of the land be divided into = 55/3 / 5/6 lots

= 22 lots

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You cook a turkey in an oven for 3 hours and 45 minutes. Let f(t) be the temperature (in degrees Fahrenheit) of the turkey t hours after being placed in the oven. Explain the meaning of each statement.

a. f(0)=67

b. f(3.75)=165

c. f(3)=f(4)

d. f(3.75)>f(4)

Answers

You cook a turkey in an oven for 3 hours and 45 minutes. Let f(t) be the temperature (in degrees Fahrenheit) of the turkey t hours after being placed in the oven.

a) At t = 0

temperature of turkey is 67 degree  Fahrenheit

b) At t = 3.75

temperature of turkey is 165 degree  Fahrenheit

c) t = 3

temperature of turkey is 4 degree  Fahrenheit

d) at t = 3.75

temperature of turkey is 169 degree  Fahrenheit

What is basic algebra ?

Algebra is a branch of mathematics that facilitates the description of problems or situations into mathematical statements. It involves variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division to generate a valid mathematical statement. All branches of mathematics, such as coordinate geometry, calculus, and trigonometry, employ algebra. An elementary algebraic formula is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations on variables and constants, such as addition, subtraction, multiplication, division, etc., are done.

Given that : You cook a turkey in an oven for 3 hours and 45 minutes. Let f(t) be the temperature (in degrees Fahrenheit) of the turkey t hours after being placed in the oven.

a) At t = 0

temperature of turkey is 67 degree  Fahrenheit

b) At t = 3.75

temperature of turkey is 165 degree  Fahrenheit

c) t = 3

temperature of turkey is 4 degree  Fahrenheit

d) at t = 3.75

temperature of turkey is 169 degree  Fahrenheit

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