Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square area where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.


Every week, Riley spends \$3$3dollar sign, 3 per square meter on the area where she lives, and earns \$7$7dollar sign, 7 per square meter from the area where she grows avocados. That way, she manages to save some money every week.



Write an inequality that models the situation. Use lll to represent the length of Riley's farm.

Answers

Answer 1

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer 2

Answer:

Answer is in attached image.

Riley Has A Farm On A Rectangular Piece Of Land That Is 200200200 Meters Wide. This Area Is Divided Into

Related Questions


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Answer: D

Step-by-step explanation:

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find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)

Answers

Hey there! :)

Answer:

(3.5, -1).

Step-by-step explanation:

Use the midpoint formula to solve this problem:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Plug in the coordinates given:

[tex](\frac{10-3}{2}, \frac{8-10}{2})[/tex]

Simplify:

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Therefore, the coordinates of the mid-point are:

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John is standing at the point (-4,-8) and his friend Victor is standing at the point (-4,12). Find the distance between them. A. 20 units
B. -20 units
C. 28 units
D. -28 units

Answers

Answer:

20 units

solution,

Let the points be A and B

A(-4,-8)--->(X1,y1)

B(-4,12)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]

Hope this helps..

Good luck on your assignment...

A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 15 tiles are in the Product spot in 3 columns with 5 rows: 1 is labeled + x squared, 2 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative. Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4

Answers

Answer:

x² - 2x - 8

Step-by-step explanation:

Algebra tiles are tiles used to represent variables or numbers and are rectangular or square shaped.

1 is labeled + x squared, this gives x²

2 are labeled + x, this gives +x × 2 = +2x

4 tiles below + x squared are labeled negative x, this gives - x × 4 = - 4x

8 tiles below the + x tiles are labeled negative, this gives -1 × 8 = -8

Therefore to get the polynomial that was factored, we add all the terms. This gives :

+x² + (+ 2x) + (-4x) + (-8) = x² + 2x - 4x - 8 = x² - 2x - 8

Answer:

The answer is A, and if edge is being weird the answer is x^2-2x-8, Have fun dreamers!

Step-by-step explanation:

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.

Answers

Answer:

1 hour   : 15 dollars

2 hours: 20 dollars

3 hours: 25 dollars

4 hours: 30 dollars

5 hours: 35 dollars

Step-by-step explanation:

Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.

Work out the mean for the data set below:
3, 5, 4, 3, 5, 6
Give your answer as a fraction

Answers

Answer:

13/3

Step-by-step explanation:

To find the mean of a data set, you must add all the given numbers and then divide the numbers by how many numbers there are.

3+5+4+3+5+6=26/6=4.3333...

When we convert the answer from a decimal to a fraction, we get 13/3.

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cot(45-A)=tan2A+ sec2A​

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Answer:

See picture.

Step-by-step explanation:

Which is the graph of f(x)=2(3) to the x power?

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Answer:

Use a graphing calc.

Step-by-step explanation:

I need help!!!
Use the rational zero theorem, which of the following could not be a rational zero of: 6x^5+ax^3=bx+12? 1/2 -3/4 -2

Answers

Answer: x = -3/4 can not be a rational zero of the polynomial.

Step-by-step explanation:

We have the polynomial:

6x^5 + ax^3 -bx -12 = 0.

The theorem says that:

If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).

The factors of -12  (different than itself) are (independent of the sign).

1, 2, 3, 4 and 6.

So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.

The factors of 6 are:

1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.

Then the option that can not be a zero of the polynomial is

x = -3/4

because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.

You are getting on an elevator that is already filled with several people. You wonder if your weight will put the elevator over the maximum weight limit. You know that your weight is 132 pounds. In the equation below, p is the weight of all the people already on the elevator, and t is the total weight inside the elevator after you get on. The relationship between these two variables can be expressed by the following equation: t=p+132. What is the dependent variable?

A.The total weight inside the elevator after you get on.
B.The weight of all the people already on the elevator.

Answers

Answer:

A

Step-by-step explanation:

T is the dependent variable

a dependent variable means it depends on something so if a number changes it will change the end result for T.

T is dependent on P since if the weight on the elevator changes the total weight will change. That is what makes it dependent.

Answer:

They are both dependent variables.

Step-by-step explanation:

I did this on Khan Academy and it worked.

Water flows through a pipe at a rate of 10 fluid ounces per day. Express this rate of flow in pints per month.

Answers

Answer: 18.75 pints per month

Step-by-step explanation:

The first law of thermodynamics states that ΔE= Q− W. Is this also a statement of the principle of conservation of energy? No, the heat that is added to the system is only used to do work. No, the change in internal energy is the energy lost in the system. Yes, the heat added and the change in internal energy of the gas equal the work done by the piston. Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.

Answers

Answer:

yes

Step-by-step explanation:

as we see in the picture the variation of the internal energy of a system is W-Q by analogie we get the second relation in the 2nd picture wich is the first law of thermodynamics

Answer:

Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.

Step-by-step explanation:

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Answers

It would be irrational.

Reasoning:

A rational number is any number that can be expressed as a fraction of two integers provided that the denominator is not zero.

π is an irrational number because its approxiamation is [tex]\frac{22}{7}[/tex] is not the exact value of π. Additionally, we know that the quotient of irrational numbers can be rational or irrational. Here is the case where we have [tex]\frac{\pi }{2}[/tex], an irrational number divided by a rational number giving a quotient that is irrational.

Answer: irrational

Step-by-step explanation:

Apart from multiplying by 0 or dividing by pi, nothing can make pi rational. pi/2 is the same thing as 1/2pi, which is irrational, because it cannot be simplified into a repeating or terminating decimal

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Answers

Answer:

In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.

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Answers

Answer:

True

Step-by-step explanation:

In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.

1
11 Kenzie monitors her investment on a technology
stock. She uses the expression 2013e2+, where t
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context?
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C. future value
D. annual growth rate

Answers

Answer:

B

Step-by-step explanation:

The term 2013 in this context refers to the amount invested.

Mathematically, in finance, we can express the amount to be recouped on an investment, having a particular rate of return over a couple of years using the general formula;

V = P(1+r)^t

Such as in the case of amount obtained in a compound interest formula

Where P is the present value or principal or amount invested

V is the future value

r is the rate of investment

with t being the time taken

Enter values to complete the table below.

Answers

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

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6x + 7y + x-8y = 7x - y
Write down three other expressions that are equal to 7x - y​

Answers

Answer:

It's pretty easy! You can manipulate the numbers to match the equation.

For example,

x + 8y + 6x - 9y = 7x - y

5x + 2x - 2y + y = 7x - y

10x + 7y - 3x - 8y = 7x - y

The other equivalent expressions that are equal to 7x - y​ could be; x + 8y + 6x - 9y = 7x - y, 5x + 2x - 2y + y = 7x - y and 10x + 7y - 3x - 8y = 7x - y

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.

We have been given the expression as;

6x + 7y + x-8y = 7x - y

When someone asks to solve an equation, then it usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

The other equivalent expressions that are equal to 7x - y​ could be;

x + 8y + 6x - 9y = 7x - y

5x + 2x - 2y + y = 7x - y

10x + 7y - 3x - 8y = 7x - y

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

A skateboard ramp has a slope of 5/6. What is the measure of the angle the ramp forms with the ground to the nearest degree

Answers

Answer:

39.8°

Step-by-step explanation:

We know slope is rise over run. That would mean our right triangle would have a horizontal leg of 6 and a vertical leg of 5. From there we use tan∅ to help solve ∅:

tan∅ = 5/6

∅ = tan⁻¹(5/6)

∅ = 39.8056

help i will give brainliest

Answers

Answer:

               93°

Step-by-step explanation:

[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]

Which metric unit would be best to measure the volume of water in a swimming pool?​

Answers

Answer:

HEY!

your answer is

it would be best to use litres

this is because a litre is 1000 millilitres and a swimming pool is a large amount of water.

Step-by-step explanation:

hope this helps

pls put brainliest

A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3

Answers

Answer:

Step-by-step explanation:

It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.

Our answer is P= 16/24=2/3=66,66%

ASAP! I do not accept nonsense answers, but BRAINLIEST will be given to the person who gets it correct with full solutions.

Answers

Answer:

A

Step-by-step explanation:

The range refers to the possible y-values.  You can assume that values on the right column are the y-values if it is not specifically expressed.  The right column is the output, or y, column.

Since you have a table, you have to state each number.  Put the numbers in numerical order.  This gives you an answer of

{46, 49, 52, 53, 58, 63, 64, 67}

. Mr. Wayne has a 3-year contract for his cell phone service. He pays $124.65 each month to cover everyone in his family. How much will the cell phone service cost over the 3-year period? Explain your answer​

Answers

Answer:

$4,523.40

Step-by-step explanation:

The cell phone cost is $124.65 per month. With 12 months in a year, we multiply $124.65 x 12 to get the answer $1,507.80. Since one year equals $1,507.80, we multiply this answer by 3 for 3 years to get $4,523.40. Thus three years of service with $124.65 a month would equal $4,523.40.

Each unit on the coordinate grid represents 1 yard. The rectangular pool and triangular hot tub shown are both in need of covers. How much total material is needed to cover both? square yards

Answers

Answer:

29 square yards

Step-by-step explanation:

see attachment for the graph

Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).

AB=[tex]\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}[/tex] yard=CD

BC= [tex]\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}[/tex]yard=DA

In order to find the area of rectangular pool =Length × Breadth

                                        =√52 ×√13=13×2=26 sq. yard

Vertices of triangle given are: P(5,2),Q(7,2) and R(7,5).

PQ= 2 units, QR= 3 units

Area of right triangle PQR=1/2 ×PQ×PR

                                           =1/2×2×3= 3 sq. yards

Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)

       = Area of rectangle + Area of right triangle

       =26+3=29 square yards

Answer:

29

Step-by-step explanation:

I just did my homework

On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?

Answers

Answer: $70.65

Step-by-step explanation:

From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.

To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:

= $22.50 - (-$48.15)

= $22.50 + $48.15

= $70.65

Mics spent $70.65 at the market.

PLEASE HELP ASAP WITH MATH

Answers

Answer:

t =5

g = 15

Step-by-step explanation:

t = tennis balls

g = golf balls

70 = 5t+3g

85 = 2t+5g

Multiply the first equation by -2

-2(70 = 5t+3g)

-140 = -10t -6g

Multiply the second equation by 5

5(85 = 2t+5g)

425 = 10t + 25g

Add these new equation together to eliminate t

-140 = -10t -6g

425 = 10t + 25g

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

285=0t+19g

Divide by 19

285/19 = g

15 = g

Now find t

85 = 2t+5g

85 = 2t +5(15)

85 = 2t + 75

10= 2t

t =5

Let the cost of a can of tennis balls be $x and that of a sleeve of golf balls be $y.

5x + 3y = 70

2x + 5y = 85

(5x + 3y) x 2 = 70 x 2

10x + 6y = 140

(2x + 5y) x 5 = 85 x 5

10x + 25y = 425

10x + 25y -10x - 6y = 425 - 140

19y = 285

y = 15

2x + 5y = 85

2x + 75 = 85

2x = 10

x = 5

Therefore the cost of a sleeve of golf balls is $15 and that of a can of tennis balls is $5.

hi can you help me i can’t move forward if i skip this question.

Answers

4.5x > 125+100
4.5x > 225
X>225\4.5
X>50

Approximately how many seconds would it take for the Mississippi River( 16,790 cubic meters per second) to fill the volume of the Gulf of Mexico(2,434,000,000,000,000)? Choice A : 1 *10^9 Choice B : 1* 10^10 Choice C : 1 * 10^11

Answers

Answer:

1 * 10^11

Step-by-step explanation:

Take the gulf of mexico and divide by the rate to get the number of seconds

2,434,000,000,000,000 / 16790

Change each to scientific notation

2 * 10 ^15/ 1.6 *10^ 4

Rounding

2 * 10^15 / 2 * 10^4

Dividing the numbers 2/2 =1

Dividing the exponents means subtracting the powers = 10 ^(15-4) = 10 ^1

1 * 10^11

Two fair dice are rolled 3 times and the sums of the numbers that come up is recorded. Find the probability of these events. A) the sum 10 on each of the three rolls? B) the sum is 10 exactly twice in three rolls?

Answers

Answer:

A) P(10 on three rolls) = 1/1728 = 0.0005787

B) P(10 in two of three rolls) = 11/1728 = 0.0063657

Step-by-step explanation:

Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.

To find a sum of 10, the cases are:

(4,6), (5,5) and (6,4).

So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:

P(10) = 3/36 = 1/12

A)

If we want the sum of 10 in each of the three rolls, the probability is:

P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787

B)

If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:

P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12

So we have:

P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)

P(10 in two of three rolls) = 11/1728 = 0.0063657

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