A farmer needs to enclose three sides of a garden with a fence (the fourth side is a river). The farmer has
30 feet of fence and wants the garden to have an area of 108 sq-feet. What should the dimensions of the
garden be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides);
the length with be the longer dimežision (needing one side). Additionally, the length should be as long as
possible.)

If x=lyl with inputs x = 1, x = 2, and x = 3 then y = ±1, y = ±2, and y = ±3.

To solve this problem we have to learn about the modulus operator and absolute value.

What is absolute value?

Absolute value is the distance of a number from zero.

Example: for -12, the distance from 0 is 12. Therefore 12 is the absolute value of -12.

What is the mod operator?

A Mod operator is a mathematical device that converts all types of integers into a positive integer or it finds the absolute value.

Now, we have to find values.

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Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2:

{-(5 x) + y - z = -4 | (equation 1)

{x + 0 y + 4 z = -19 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Add 1/5 × (equation 1) to equation 2:

{-(5 x) + y - z = -4 | (equation 1)

{0 x + y/5 + (19 z)/5 = -99/5 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Multiply equation 2 by 5:

{-(5 x) + y - z = -4 | (equation 1)

{0 x + y + 19 z = -99 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 2 with equation 3:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y - z = 25 | (equation 2)

{0 x + y + 19 z = -99 | (equation 3)

Add 1/5 × (equation 2) to equation 3:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y - z = 25 | (equation 2)

{0 x + 0 y + (94 z)/5 = -94 | (equation 3)

Multiply equation 3 by 5/94:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y - z = 25 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Add equation 3 to equation 2:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y + 0 z = 20 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Divide equation 2 by -5:

{-(5 x) + y - z = -4 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Subtract equation 2 from equation 1:

{-(5 x) + 0 y - z = 0 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Add equation 3 to equation 1:

{-(5 x) + 0 y + 0 z = -5 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Divide equation 1 by -5:

{x + 0 y + 0 z = 1 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Collect results:

Answer: {x = 1, y = -4, z = -5

6.2 × [tex]10^{11}[/tex]  is the result after multiplying the terms (2 × 10 ) × (3.1 × 10¹⁰).

We are provided with the equation mentioned below:

(2 × 10 ) × (3.1 × 10¹⁰)                            equation 1

We were asked to multiply the terms mentioned in the above equation using scientific notation. The steps to simplify the above mentioned equation are written below;

(2 × 10 ) × (3.1 × 10¹⁰)    

Separately write similar terms first as shown below,

= ( 2 × 3.1 ) × ( [tex]10^{1}[/tex] × [tex]10^{10}[/tex] )

Now multiply the similar terms as written below;

= 6.2 × [tex]10^{(1 + 10)}[/tex]

Add powers of 10, we get

= 6.2 × [tex]10^{11}[/tex]

Thus, the solution of the given equation is 6.2 × [tex]10^{11}[/tex].

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A.Congruent triangles)

Answer:

7

Step-by-step explanation:

Since 23 + 23 = 46

We just have to multiply 5 by something. 11 + 5 x 7 = 46

Y is = 7

btw im in middle school

your answer could be 72

i did a lot of math

and if you have what y means to me its y = 3 so i did 5*3

Answer:

13

Step-by-step explanation:

A number squared is just a number multiplied by itself.

13 x 13 is 169.

Answer is 13.

Hope this helps!

P.S, Brainliest, please, thanks!

The average change per hour is: -4 F/h

So the temperature decreases by 4 degrees Fahrenheit each hour.

To get the average change in degrees per hour, we need to take the quotient between the change in temperature and the number of hours in which this happens.

We know that initially the temperature is 0F

The final temperature is -12F

and this happens on an interval of 3 hours, then the average change per hour is:

(-12F - 0F)/3h = -12F/3h = -4 F/h

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Answer:

x=17

Step-by-step explanation:

2x-3+3x+8=90

5x=85

x=17

:]

Answer:

g=x-f+4h/4

Step-by-step explanation:

change of subject of formula

f+4(g-h)=x

f+4g-4h=x

4g-4h=x-f

4g=x-f+4h

g=x-f+4h/4

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Equations with solution x = 9 are:

81/x - 3 = 6

2x - 3 = 15

To determine the equation whose result ives x = 9, we need to solve each of the equation in the question

a) 4 + 5x = 18

5x = 18 - 4

5x = 14

x = 14/5

This is not x = 9 (option is wrong)

b) 24 - 2x = 13

24 - 2x + 2x = 13 + 2x

24 = 13 + 2x

24 - 13 = 2x

11 = 2x

x = 11/2

This is not x = 9 (option is wrong)

c) x/3 + 7 = 8

x/3 = 8 - 7

x/3 = 1

x = 3(1) = 3

This is not x = 9 (option is wrong)

d) 3x + 2 = 25

3x = 25 - 2

3x = 23

x = 23/3

This is not x = 9 (option is wrong)

e) 81/x - 3 = 6

81/x = 6 + 3

81/x = 9

81 = 9x

x = 81/9

x = 9

This equation has the sloution x = 9

f) 2x - 3 = 15

2x = 15 + 3

2x = 18

x = 18/2

x = 9

This equation has the sloution x = 9

No, It is not possible for consecutive interior angles to be congruent.

If the transversal line crosses the two lines as parallel to one another, the consecutive interior angles are supplementary rather than congruent and add up to 180 degrees.

Parallel internal angles are additional (the consecutive interior angles postulate) External angles that follow each other are supplemental (the consecutive exterior angles theorem) Congruent alternate interior angles (the alternate interior angles theorem)

The pair of non-adjacent internal angles that are located on the same side of the transversal are referred to as consecutive interior angles. The term "consecutive" describes events that take place side by side. On the internal side of a transversal, two consecutive interior angles are situated next to one another.

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well, the bill was actually "x", which oddly enough is the 100%, but we also know that the tip was $1.05 and that's 15% of the whole bill plus tax.

so if we know that 1.05 is 15% of "x", what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1.05 & 15\\ x& 100 \end{array} \implies \cfrac{1.05}{x}~~=~~\cfrac{15}{100} \\\\\\ 105=15x\implies \cfrac{105}{15}=x\implies 7=x[/tex]

well, as you can see, we know the tax was 8%, but, it doesn't really matter if it had been 25% or who knows, so long we know that 1.05 is 15% of the whole smack.

Answer:

The square root of 3 is an irrational number if that's what you were asking

Answer:

[tex]2\sqrt{2}[/tex]

Doing RSM I see... lol gl. (tell me if this is wrong, I'll correct it if it is) :]

Step-by-step explanation:

h(6)=2

g(2) = [tex]\sqrt{2\\}[/tex]

f(sqrt2) = [tex]2\sqrt{2}[/tex]

:]

we have that he paid 4 dollars due the delivery. So each pizza costs

so the equation to find the price r is

The cost of each bag of lemons is $4.71

Let y represent the cost of lemon

Angel pays $29.80 for both the cookies and lemon

He pays a total of $6.25 for the cookies

He buys 5 bags of lemons

The equation can be expressed as

6.25 + 5y= 29.80

collect the like terms

5y= 29.80-6.25

5y= 23.55

divide by the coefficient of y which is 5

y= 23.55/5

y= 4.71

The result of y from the equation is 4.71

Hence each bag of lemon costs $4.71

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Answer:

I think you have to first solve the first equation for y.

Answer choice: 3.

Step-by-step explanation:

Hope this helps! :)

Answer:

y=3/2x+3

Step-by-step explanation:

gradient is dy/dx

so up 3 and across 2

3/2

crosses at 3

Answer:

y=-3/2x+3

Step-by-step explanation:touches y axis at 3 and negative 3/2 slope

The length of trail is each member responsible for cleaning is 0.3.

Given,

In the real world the local preservation group is cleaning up a 3 3/5 km hiking trail twelve members sign up to help.

To find the length of trail is each member responsible for cleaning.

(Division of fractions)

Now, According to the question:

Based on the given condition

= [tex]3\frac{3}{5}[/tex] ÷ 12

= 18/5 ÷ 12

Convert into decimal

= 3.6 x 1/12

= 0.3

Hence, The length of trail is each member responsible for cleaning is 0.3.

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The expression has a value of -1400 when evaluated

From the question, the expression is represented as

-5 x 14 ÷ 3/4 x 15

Start by evaluating the product of -5 and 14

So, we have the following equation represented as

-5 x 14 ÷ 3/4 x 15 = -70 ÷ 3/4 x 15

Next, we rewrite the quotient as products

So, we have the following equation represented as

-5 x 14 ÷ 3/4 x 15 = -70 x 4/3 x 15

Divide 15 by 3

So, we have

-5 x 14 ÷ 3/4 x 15 = -70 x 4 x 5

Continue by evaluating the product of -70 and 4

So, we have the following equation

-5 x 14 ÷ 3/4 x 15 = -280 x 5

Lastly, we have

-5 x 14 ÷ 3/4 x 15 = -1400

Hence, the value of the expression is -1400

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The proportion of players weighing more than or equatable to 220 pounds is 50%.

Based on the information provided

There are 48 players in total.

Based on the box plot;

158 pounds is the minimum weight.

Q1 = 185, which represents 25% of the information below 185 pounds.

The second quartile Q2 = 220 pounds, which represents 50% of the information below 220 pounds.

The third quartile (Q3) = 232, representing 75% of the information below 232 pounds.

248 pounds is the maximum weight.

In this case, 220 is the middle number and represents the median.

50% of the information are located on both the left and right sides of the median.

As a result, the proportion of players weighing more than or equatable to 220 pounds is 50%.

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Raven can travel 5.71 miles or less under her limit.

Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Let x b the number of miles Raven travels, we can write an expression relating the amount he spends. So there:

3.00 + 0.50= 3.50

Consider that total cost per mile be less than equal to the amount the Raven can spend:

3.50x ≤ 20

We can determine x;

x ≤ 5.71

Therefore, Raven can travel 5.71 or less under her limit.

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You would take Alex's distance from the fence, which is 10 feet, and the length of the fence to get the angle.

Finding the angle using the right triangle's trig formulas, sine, cosine, or tangent

neighboring side = 6 feet

obverse side = 10 feet

employ a tangent because

[tex]tan^{-1}\frac{opposite}{adjacent} = tan^{-1}\frac{10}{6} = 59.0[/tex]

About Right triangle's

The formula for a right triangle's area, perimeter, and hypotenuse length are all included in the formula for a right triangle.

In geometry, there are several figure kinds that are distinguished from one another by their unique characteristics. A triangle is one of the shapes they frequently use. A triangle is a closed, three-sided polygonal shape. It has three vertices and three sides that contain the triangle's three interior angles. A triangle's three inner angles always add up to 180 degrees.

Equilateral, isosceles, scalene and right-angled triangles are the most typical triangle types we examine. The right triangle formula, commonly known as the right-angled triangle formulae, will be discussed in this section.

Any interior angle that is 90 degrees in length is said to be in a right triangle. It should be remembered that only one of the three angles may be a right angle because the total interior angle of a triangle is 180 degrees.

Continue reading: Right Angle Triangle

The triangle is referred to as an isosceles right-angled triangle if the other two angles are equal, or 45 degrees each. A scalene right-angled triangle, on the other hand, results from the other two angles being uneven.

Trigonometry is where right-angled triangles are used the most frequently. In reality, trigonometry's foundation is the relationship between its angles and sides.

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Answer:

-32q-6

Step-by-step explanation:

Please look at the attachment! Hope this helps! ~~

Answer : -0.3125 + q + 0.5

1) Distribute

10 - 32q - 16

2) Divide all terms by -32

-0.3125 + q + 0.5

Answer:  Elga is 16 years old

Step-by-step explanation: so first you divide 96 by 2 and get 48, 48 divided by 3=16,

please mark brainliest if this helps :)

Work Shown:

x = Elga's age

3x = Alvin's age since he is 3 times older

x+3x = 4x = sum of their ages

4x = 96

x = 96/4

x = 24 is Elga's age

3x = 3*24 = 72 is Alvin's age

Check: 24+72 = 96 which confirms the answer.

Step 1:

First, write the general equation of a circle

Step 2:

Question 1

Question 2

Question 3

Question 4

Question 5

If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99

Part A

The equation that gives the total cost (in dollars) of card  C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99

Part B

The cost of buying 3500 business cards is $59.94

The Vistaprint offers the first 500 business cards for free

The cost of each additional set of 500 cards = $9.99

Part A

Consider the total cost of the card = C

Number of business card in group of 500 = b

Then the equation of the total cost of cards

C = 9.99×b -9.99

Part B

Total number of cards = 3500

Number of cards in group of 500 = 3500/500

= 7

The cost of buying 3500 business card = 9.99×7-9.99

= 69.93-9.99

= $59.94

Hence, If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99

Part A

The equation that gives the total cost (in dollars) of card  C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99

Part B

The cost of buying 3500 business cards is $59.94

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The larger number is 49 and the smaller number is 16.

The first step is to form a linear expression that represents the larger number.

Let the smaller number be represented with y

The larger number is represented with this linear expression : 1 + 3y

The sum of the two numbers : 1 + 3y + y = 65

Take the following steps to determine the value of the smaller number:

Combine similar terms: 65 - 1 = 3y + y

Add similar terms together: 64 = 4y

Divide both sides by 4: y = 64 / 4

y = 16

Larger number = 1 + 3(16)

1 + 48 = 49

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Answer:

  $12

Step-by-step explanation:

You want to know the price increase per 100 meters if the fee for climbing d meters is ...

  f = 110 + 0.12d

The rate of change indicated by the coefficient of d in the equation is 0.12 for each unit of d. Then the amount of change for 100 units of d is ...

  0.12(100) = 12

The price increases by $12 for every 100 meters climbed.

<95141404393>

P(X < 8.4)

= P(Z < (8.4 - 8.5) / (0.22 / sqrt(37)))

= P(Z < -2.76 ) = 0.0029

So the probability  is 0.0029

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