Aunt Patricia has a large farm, which contains a right triangular area where her house and gardens are
located. She also has three square pastures where she keeps her milk cows. Aunt Patricia has written a
will. In the will, she leaves the triangular area with house and garden to a local charity. But she leaves
the three square pastures to her two nieces, Mia and Erika.

The side length of the smallest square pasture is 24 meters, and the area of the middle-size square
pasture is 1,024 square meters.
1. What is the area of the smallest square pasture? _________________________ square meters
Show how you figured it out.

2. What is the side length of the middle-size square pasture? ______________________ meters
Show how you figured it out.

In Aunt Patricia’s will, she gave the large pasture to Mia and the two smallest pastures to Erika.
3. What is the side length of Mia’s square pasture (large pasture)? ____________ meters
What is the total area of Mia’s pasture? ______________________________ square meters
Show how you figured it out.

4. The nieces don’t think the will is fair. Explain to them why, in this case, it is fair. Justify your
explanation with mathematics.
__________________________________________________________________

Answer:

19 panels are painted green

Step-by-step explanation:

95/5=19 and because there are 3 colors before green again we don't have to worry about the other 3 panels

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

The total area of the pool and the walkway will be 210 square feet, the walkway should be 1.8 feet wide.

In mathematics, area is a measure of the size or extent of a two-dimensional shape or surface. It is typically measured in square units, such as square meters, square feet, or square inches. The area of a shape is calculated by multiplying its length by its width or by using a formula specific to that shape.

The concept of area is fundamental to many areas of mathematics, science, and engineering. It is used to calculate the size of land and buildings in real estate, the amount of material needed for construction, the amount of paint needed to cover a surface, and many other practical applications. In addition, the study of area is important in geometry, calculus, and other areas of mathematics.

Let's start by finding the area of the pool, which is 9 feet by 8 feet:

Area of pool = 9 feet * 8 feet = 72 square feet

Next, we need to add the width of the walkway to each dimension of the pool to find the dimensions of the entire area:

Width of area = 9 feet + 2(width of walkway)

Length of area = 8 feet + 2(width of walkway)

The total area of the pool and walkway is given as 210 square feet, so we can set up the equation:

Area of pool + Area of walkway = 210 square feet

Substituting the formulas for the area of the pool and area of the walkway, we get:

72 + (9 + 2x)(8 + 2x) = 210

Expanding the right side and simplifying, we get:

4x² + 34x - 33 = 0

We can solve for x using the quadratic formula:

x = (-34 ± √(34² - 44(-33))) / (2*4)

x = (-34 ± √(1660)) / 8

x = (-34 ± 40.74) / 8

x = 1.8 or x = -5.075

Since the width of the walkway cannot be negative, the width of the walkway should be 1.8 feet.

To know more about area visit:

brainly.com/question/27683633

#SPJ1

Answer:

8.9x+1.66

Step-by-step explanation:

1.)5.3x − 8.14 + 3.6x + 9.8

2.)group the numbers on one side and the x's on the other

3.)5.3x + 3.6x - 8.14 + 9.8

solve

= 8.9x +  1.66

Plz brainly and like

The producer surplus at the equilibrium quantity is 5488/3 or approximately 1829.33.

The equilibrium quantity is found by setting the demand equal to the supply:

862.4 - 0.6x² = 0.5x²

Simplifying and solving for x, we get:

1.1x² = 862.4

x² = 784

x = 28

So the equilibrium quantity is 28.

The producer surplus at the equilibrium quantity, we first need to find the equilibrium price.

The demand or supply function to do this and since the supply function is simpler, we'll use that:

s(28) = 0.5(28)²

= 196

So the equilibrium price is 196.

The producer surplus at the equilibrium quantity is the area above the supply curve and below the equilibrium price, up to the quantity of 28. The supply curve is a quadratic function can find this area using integration:

∫[0,28] (196 - 0.5x²) dx

= [196x - (0.5/3)x³] from 0 to 28

= (5488/3)

= 1829.33.

For similar questions on equilibrium quantity

https://brainly.com/question/28945352

#SPJ11

Answer:

6/35

Step-by-step explanation:

\(\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}\)

Answer:

6/35

Step-by-step explanation:

2/5x3/7=

6/35

Does not simplify. Multiply straight across..

Hope this helps!

Answer:

\((25x + 8)(x + 2)\)

Step-by-step explanation:

\(25x^{2} + 58x + 16 = 25x^{2} + 50x + 8x + 16 = 25x(x + 2) + 8(x + 2) = (25x + 8)(x + 2)\)

Answer:x=1

Step-by-step explanation:trust me even without x they still equal each other

The final expression of the algebraic expression is; (30√2)/2

The algebraic expression is expressed as;

(18/√2) - 12/√32

Now, we know that √32 can be expressed as;

√(16 * 2) = √16 * √2

= 4√2

Thus, the expression is now;

(18/√2) - 12/4√2

= (18/√2) - (3/√2)

Factorizing common factor gives;

(1/√2)(18 - 3)

= 15/√2

Rationalizing the denominator gives;

(30√2)/2

Read more about Algebra Expressions at; https://brainly.com/question/4344214

#SPJ1

If a > 1, the graph of y = a|x| will be vertically stretched (or "taller") or if 0 < a < 1, the graph of y = a|x| will be vertically compressed (or "shorter") or If a is negative, the graph of y = a|x| will be a reflection of the graph of y = |x|  than the graph of y = |x| than the graph of y = |x|,

A graph is a visual representation of a set of objects, called vertices or nodes, that are connected by lines or edges. It is used to study relationships and patterns between these objects.

According to the given information :

The graph of the function y = |x| is a V-shaped graph that passes through the origin, with the arms of the V opening upward and downward at a slope of 1. When we introduce a coefficient 'a' to the function, the graph of y = a|x| is stretched or compressed vertically.

Specifically, if a > 1, the graph of y = a|x| will be vertically stretched (or "taller") than the graph of y = |x|, and the arms of the V will be steeper. On the other hand, if 0 < a < 1, the graph of y = a|x| will be vertically compressed (or "shorter") than the graph of y = |x|, and the arms of the V will be less steep.

If a is negative, the graph of y = a|x| will be a reflection of the graph of y = |x| about the x-axis, resulting in the same shape as y = |x| but flipped upside down

To know more about  Function visit :

https://brainly.com/question/12431044

#SPJ1

Answer:

50-15.20 = 34.8 - 8p

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok:

First Problem with coin!

1. A coin has 2 sides and one of them is going to land up or down which means it has a chance of 1 out of 2.

1 out of 2=

1/2= 50%

Second Problem with spinner

2. There are 12 spaces on the spinner and three of those spaces are blue.

SO: 3 out of 12=

3/12=

1/4=

25%

Answers: 50% and 25%

IN FRACTION FORM: 1/2 and 1/4

Answer:

Step-by-step explanation:

\(\angle 2,\angle AEG, \angle GEB\)

Answer:

c = 16

Step-by-step explanation:

We have (a + b)² = a² + 2ab + b²

x² + 8x + c is of the form a² + 2ab + b²

where x² = a²

8x = 2ab

and c = b²

⇒ x² + 8x + c = (x + √c)² which is a perfect square

x² = a² ⇒ x = a

8x = 2ab

⇒ 8x = 2xb

⇒ b = 8x/(2x)

⇒ b = 4

c = b²

⇒ c = 4²

⇒ c = 16

(x + √c)² = (x + √16)²

= (x + 4)²

= x² + 2(x)(4) + 4²

= x² + 8x + 16

Therefore, c = 16 makes the expression a perfect square

Step-by-step explanation:

Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR

will have ONE tails :

HHHT

HHTH
HTHH
THHH      so 4 out of 16  = 4/16 = 1/4    Not very unusual

The correct alternative hypothesis is H1: pL> pH.

We test whether the proportion of children in the low-income group who drew the nickel too large is greater than the proportion of children in the high-income group who drew the nickel too large.

Proportion of children in the low-income group (denoted pL) who also drew a nickel. large is greater than the proportion of the high-income group (indicated by pH) that attracted nickel too large, we test at the 0.1 significance level.

a) First, we need to identify the correct alternative hypothesis. The alternative hypothesis in this case should be:

H1: PL > pH

This hypothesis states that the proportion of children in the low-income group who drew oversized nickels would be greater than the proportion of children in the high-incomegroup who drew oversized nickels.

Learn more about hypothesis here,

https://brainly.com/question/15980493

#SPJ4

The exponential function in the form y = ab^x that goes through points (0, 19) and (2, 1539) is given by:y = 19 * 9^x. This function describes the relation between y and x in such a way that the value of y increases exponentially as x increases.

Exponential function in the form y = ab^x that passes through points (0, 19) and (2, 1539) can be obtained by determining the values of a and b by solving the system of equations obtained using the given points.Let's write the exponential function using the standard form:y = a b xy = ab^xPlugging in the first point (0, 19), we get:19 = a b^0 = aMultiplying with b^2 and plugging in the second point (2, 1539), we get:1539 = a b^21539 = 19 b^2b^2 = 1539/19b^2 = 81b = ± 9Since b has to be a positive value, we have b = 9.Using a = 19/b^0 = 19, we can write the exponential function:y = 19 * 9^x.

Therefore, the exponential function in the form y = ab^x that goes through points (0, 19) and (2, 1539) is given by:y = 19 * 9^x. This function describes the relation between y and x in such a way that the value of y increases exponentially as x increases.

Learn more about exponential function here,

https://brainly.com/question/30241796

#SPJ11

Answer:

1.1 : C - x^2 + x - 2

1.2 : A - 4a^2 - 6b^2 + 12

Step-by-step explanation:

When we have the expression p(x) - q(x), we can substitute those functions in:

(x^2 + 2x - 5) - (x - 3)

We can distribute:

x^2 + 2x - 5 - x + 3

and then combine like terms(2x & -x, -5 & 3)

x^2 + x - 2

This is the same as C.

We can start by distributing:

a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4

Now, we can combine all the a^2 terms(a^2 & 3a^2):

4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4

Then, we can combine the b^2 terms(-2b^2 & -4b^2):

4a^2 - 6b^2 + 3 + 4 + 5

and lastly, all the constants:

4a^2 - 6b^2 + 12

This aligns with option A

The requried new coordinates of the translated points are (2, 3), (3, 5), and (0, -2).

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To translate a point using the given rule, we add 1 to the x-coordinate and 1 to the y-coordinate.

For points (1, 2), the new coordinates are (1+1, 2+1) = (2, 3).

For the point (2, 4), the new coordinates are (2+1, 4+1) = (3, 5).

For the point (-1, -3), the new coordinates are (-1+1, -3+1) = (0, -2).

Therefore, the new coordinates of the translated points are (2, 3), (3, 5), and (0, -2).

Learn more about transformation here:

https://brainly.com/question/18065245
#SPJ1

Therefore the solution to this question is Anthony ran 5.5 miles each day after school.

An equation is a mathematical statement that proves the equality of two mathematical expressions, according to the definition of an equation in algebra. To give one example, the two expressions 3x + 5 and 14 are contained in the equation 3x + 5 = 14.

Here,

Let x represent how far he ran after school.

He ran four days straight after school, covering the same distance four times. He completed a 1.5-mile run before heading to school each day for a total of 6 miles. He completed 28 miles of running.

So, the equation which will represent this will be,

4(x + 1.5) = 284(x+1.5)=28

4x + 6 = 284x+6=28

4x = 28 - 64x=28−6

4x = 224x=22

x = 5.5x=5.5

So, Every day after school, Anthony ran 5.5 miles.

To know more about  Equation ,visit

https://brainly.com/question/24092819

#SPJ4

Answer:

Step-by-step explanation:

the answer is 5.5 cause i just had that question for ixl and got it right!!!

Damien has more than enough juice to fulfill his requirement of 5 pints. The statement that is true is that Damien has bought more than the required amount of juice in pints.

If Damien needs to find 5 pints of juice, he can buy 3 quarts of juice. One quart contains 2 pints, so 3 quarts would contain 6 pints.  He has bought a total of 6 pints, which is 1 pint more than what he needed.

This means that Damien can use the extra pint of juice for other purposes or store it for later use. It is important to note that when converting measurements,

it is crucial to understand the equivalent values to avoid over or underbuying. In this case, knowing that 1 quart contains 2 pints helped Damien make an informed decision while shopping.

To learn more about : statement

https://brainly.com/question/2263644

#SPJ11

Answer: 25 Gallons

Step-by-step explanation:

My answer is correct because, if were just finding out how much gallons did both the girls bring then we just have to add 9 plus 16. 9 plus 16 equals 25.

Hope This Helps!

Step-by-step explanation:

The statements are

1.Draw Oa,Ob

2.OR is perpendicular to AB

3.OR is congruent to OR

4.OA is congruent to OB

5.Triangle AOR is congruent to BOR.

6.AR is congruent to AB.

The reasons are

1.Auxalaritly lines

2 Radius are perpendicular to tangent

3.Reflexitive

4.Radii of same circle are equal

5.HL theorem, (since we know hypotenuse and a leg)

6.CPCTC

Answer:

C

Step-by-step explanation:

Tomorrow, three out of four hits are required to average more than 0.450.

Given data;

Take the example of the third baseman for your high school softball team who had a total of 6 hits in 15 at-bats during the previous four games. assuming you'll get four chances to bat in tomorrow's game. How many hits must you have to surpass 0.450 on the batting average? To determine the required number of hits, create and solve an inequality.

Let 'x' be the number of hits

And have an average of 0.45

⇒ \(\frac{6+x}{15+4} > 0.45\)

⇒ 6 + x > 0.45 * 19

   6 + x > 8.55

   x > 2.55

   x = 3

Hence, 3 out of 4 hits tomorrow is the least number of hits needed to average greater than 0.450

To learn more about average click here:

brainly.com/question/24057012

#SPJ4

The equation of the line in two intercepts form is x/(-4) + y/3 = 1.

For the given question.

The equation of the line is given as;

3x - 4y = -12

Divide the equation by -12 on both sides.

3x/-12  - 4y/-12  = -12/-12

x/(-4) + y/3 = 1

a = -4 and b = 3 are the x- and y-intercepts

Thus, the equation of the line in two intercepts form is x/(-4) + y/3 = 1.

To know more about the two intercepts form, here

https://brainly.com/question/28735563

#SPJ13

Answer:

It's D. No; a range value has two domain values

Step-by-step explanation:

The domain is the set of all x or input values. We may describe it as the collection of the first values in the ordered pairs.

The range is the set of all y or output values. We may describe it as the collection of the second values in the ordered pairs.

Answer:

b

Step-by-step explanation:

used a calucator

Answer: she can buy it for 5 friends

Step-by-step explanation:

$35(budget)- $15(craft booth) =$25

then $25 divided by $4 equals 5

So 5 people she can but for.

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let x represent the number of hot dogs and y represent the boxes of popcorn.

Justin buys a total of 9 snacks. Hence:

He buys popcorn 3 less than twice as many hot dogs. Hence:

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 5

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

Find out more on equation at: https://brainly.com/question/13763238