The total operating cost to run the organic strawberry
farm varies directly with its number of acres. What is
the constant of variation in this scenario?
If the total operating cost for a 20-acre organic.
strawberry farm is $551,520, how many acres are on a
farm with a total operating cost of $441,216?
acres

Answer:

L= 18 in

W= 8 in

Step-by-step explanation:

Step one:

The length of a rectangle is 10 inches longer than its width

let the width be x

so the lenght is x+10

the area of the rectangle is 144 square inches

Step two:

[tex]Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0[/tex]

the factors for the quadratic expression is

18 and -8

[tex]x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18[/tex]

the width is 8 in

the length is 8+10= 18 in

From the equation, the length is 18 inches and the width is 8 inches.

Let width = w

Since the length of a rectangle is 10 inches longer than its width, the length will be w+10.

Area = 144 inches²

Area = Length × Width

w(w + 10) = 144

w² + 10w = 144

w² + 18w - 8w - 144 = 0

w(w + 18) - 8(w + 18) = 0

(w - 8) = 0

w = 0 + 8 = 8

Length = w + 10 = 8 + 10 = 18

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Answer:

Step-by-step explanation:Last pair of triangles represent congruence.

Step-by-step explanation:

If , it can be deducted the following:

Also,

Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.

Answer:

D

Step-by-step explanation:

I am doing the test

Answer:

Step-by-step explanation:

Using a linear function, the costs are given as follows:

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the cost for r rides is given by the following linear function:

C(r) = 15 + 4r.

The cost for 7 rides is given by:

C(7) = 15 + 4(7) = 15 + 28 = $43.

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Answer: B is the answer

Step-by-step explanation:

The answer for A) is x=-9/10

The answer for B) is no solution

The answer for C) is x=0

The answer for D) is =-8x

the youngest of them is 42

i hope this was helpful:)

Answer:

Patrick from spongebob? He dosent do work

Step-by-step explanation:

Answer:

I think it's 83

Step-by-step explanation:

Teacher explanation I still don't understand

9514 1404 393

Answer:

  UW = 24

Step-by-step explanation:

Midsegment XY is half the length of base UW, so we can write ...

  UW = 2·XY

  73 -7x = 2(54 -6x) . . . . substitute the given expressions

  73 -7x = 108 -12x . . . . . eliminate parentheses

  5x = 35 . . . . . . . . . . . . . add 12x-73

  x = 7 . . . . . . . . . . . . . . . divide by 5

Now, we can find UW:

  UW = 73 -7x = 73 -7·7

  UW = 24

Answer:

Your answer is D

Step-by-step explanation:

Let's solve your system by substitution.

y−2x=3;3x−2y=5

Rewrite equations:

−2x+y=3;3x−2y=5

Step: Solve−2x+y=3for y:

−2x+y=3

−2x+y+2x=3+2x(Add 2x to both sides)

y=2x+3

Step: Substitute2x+3foryin3x−2y=5:

3x−2y=5

3x−2(2x+3)=5

−x−6=5(Simplify both sides of the equation)

−x−6+6=5+6(Add 6 to both sides)

−x=11

−x

−1

=

11

−1

(Divide both sides by -1)

x=−11

Step: Substitute−11forxiny=2x+3:

y=2x+3

y=(2)(−11)+3

y=−19(Simplify both sides of the equation)

Answer:

x=−11 and y=−19

Answer:

Car Wash: $43.75   and   Garage Sale: $87.5

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

[tex]x= \frac{y}{m} + b [/tex]

Answer:

It is 300 + 10 + 1.

Step-by-step explanation:

Answer:

.27

Step-by-step explanation:

just divide 3/11

Answer:

D. $0.94 per pound

Step-by-step explanation:

To find how much each potato costs, we have to do 2.82/3

This is equal to $0.94, so $0.94 per pound!

Check:

With each potato being $0.94 ( according to my calculations ), 3 potatoes should be $2.82. So, $0.94 * 3 should be equal to $2.82.

3 * 0.94 = 2.82       Correct!

Answer:

Mark is 12 years old.

Step-by-step explanation:

Let's just define some variables:

J = Jason

A = Alex

M = Mark

Next, let's put the information given in the question into equations.

Since Jason is 10 years older than Alex we can represent it like this:

J = A + 10

Since Mark is 11 years younger than Alex we can represent it like this:

M = A - 11

All of their ages add up to 68 so we can represent that like this:

J + A + M = 68

We can now do some substitutions to the J and M in this equation, like this:

(A + 10) + A + (A - 11) = 68

Combine like terms:

3A - 1 = 68

Solve for A

3A = 69

A = 23

Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:

J = 23 + 10

J = 33

M = 23 - 11

M = 12

Mark is the youngest out of the siblings being 12 years old.

Check:

23 + 33 + 12 = 68

68 = 68 :)

I hope this helps!!

- Kay :)

Answer:

[tex]\frac{11}{5}[/tex]

Step-by-step explanation:

1. isolate x by adding 7 to the other side (7+4)

5x - 7 = 4

5x = 11

2. divide by 5 to get x alone

x = 11/5

Answer:

Step-by-step explanation:

5x - 7 = 4

5x=4+7

5x=11

x=11/5

x=2.2

Answer:

C) (1.8, -1.6)

Step-by-step explanation:

Answer:bc

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

Answer:

its graph A

Step-by-step explanation:

Answer:

madarchod

Step-by-step explanation:

randi bhosdike

Answer:

4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

Answer:

The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Step-by-step explanation:

[tex]f(x)=8x+10[/tex]

We need to find inverse of the function.

For finding inverse of function,

let [tex]y=8x+10[/tex]

Now, solving to find value of x

Subtracting 10 on both sides

[tex]y-10=8x+10-10\\y-10=8x[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]

Now replace y with x and x with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]

So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Answer:

The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]

Expected winning of professor Duque = -$4.8

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Total no of participation = 500

The prize winner will be decided at random.

Number of favorable outcomes divided by the total number of outcomes gives Duque a chance of winning the reward.

Out of the 500 competitors, only one will be the winner.

Duque's chances of winning the prize are 1 in 500, or 0.002.

If a person wins, they will receive $100 as their prize.

The price of a ticket is $5.

Thus, the net amount prize pool is $100 - $5 = $95 total.

Participants 499  will not be successful.

Probability of losing is 499/500, which is 0.998.

Loss from losing = - $5 (negative sign represents loss).

For discrete random variable X:

E(X) = ∑[tex]_{i=0}^{n} x_{i}*p(x_{i})[/tex]

E(X) = [tex]x_{1}*p(x_{1})+x_{2}*p(x_{2})\\[/tex]

Given,

[tex]x_{1}=[/tex]$95 and [tex]p(x_{1})[/tex]=1/500

[tex]x_{2}[/tex]= -$5 and [tex]p(x_{2})\\[/tex] = 499/500

[tex]E(X)=(95*\frac{1}{500})+(-5*\frac{499}{500}) \\= -4.8\\[/tex]

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Answer:

3x-6y=6

y=x+8

3x - 6(x+8) = 6

3x - 6x - 48 = 6

-3x - 48 = 6 / +48

-3x = 54 // -3

x = - 18

y = -18 +8 = 10

Step-by-step explanation: