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The algebraic equation that describes the relationship of the weights on both sides of the scale is: 2y + 3 = 4y + 2.

Using the weights on each side of the scale, we can create an algebraic equation that describes it.

Assume each weigh on the scale represents each side of an algebraic equation.

On left side, we can express the weights as: 2y + 3

On the right side, we can express the weight as: 4y + 2

Thus, expressing the relationship of the weights, we would have:

2y + 3 = 4y + 2

Thus, the algebraic equation that describes the relationship of the weights on both sides of the scale is: 2y + 3 = 4y + 2.

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the expression can be negative under various circumstances.

An expression means to subtraction two numbers from a given number.

Let the numbers be a, b and c

Do, the expression will become:

a - b - c.

The expression can be negative if:

1. the value of b + c > a

For example: a = 4, b = 5 and c = 6

so, the expression will be

4 - 5 - 6 = - 7

2. The value can be negative if a - b < c

For example:

a = 2, b = 1 and c = 6

The expression will be:

2 - 1 - 6 = - 5

3. The value can be negative if a - c < b

For example:

a = 1, b = 6 and c = 2

The expression will be:

1 - 6 - 2 = - 7

Therefore, we get that the expression can be negative under various circumstances.

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According to the given statement the chi-square value in the test of this hypothesis is  10.111.

The correct option is C.

The chi-square statistic contrasts the actual values with what was anticipated. The discrepancy between the values observed and expected is tested using this test statistic to see if it is statistically significant.

Tall and purple flower observed valve = 860

Dwarf and purple flower observed valve  = 285

Tall and pink flower observed valve = 340

Dwarf and pink flower observed valve = 115

Total no. of flower = 860 + 285 + 340 + 115

                              = 1600

The ratio given is 9: 3: 3: 1

Expected no. for Tall and purple = 100(9/16) = 900

Expected no. for Dwarf and purple = 1600(3/16) = 300

Expected no. for Tall and pink   = 1600(3/16) = 300

Expected no. for Dwarf and pink = 1600(1/16) = 100

chi-square value  = ∑ (objered value - expected value)² /Expected value

                        = [tex]\begin{aligned}\frac{(860-900)^2}{900}+\frac{(285-300)^2}{300}+\frac{(340-300)^2}{300} +\frac{(115-100)^2}{100}\end{aligned}[/tex]

                         = 1.778 + 0.75 + 5.333 + 2.25

                         = 10.111

The value is 10.111

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I understand that the question you are looking for is:

A dihybrid plant was crossed; the F2 generation consisted of: 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants. The data remind you of a 9:3:3:1 ratio. What is the chi-square value in the test of this hypothesis?

a. 0.377;

b. 7.5;

c. 10.11;

d. 11.08;

e. 15.78

The expression that can be used to show a set of twenty book divided into 4 groups [tex]\frac{20}{5}[/tex]

Given,

The total number of books= 20

Number of books in each group= 4

We have to use division

Then, the expression used to represent a set of 20 books divided into four group =[tex]\frac{20}{5}[/tex]

So the result will be 4

Hence, the expression that can be used to show a set of twenty book divided into 4 groups is [tex]\frac{20}{5}[/tex]

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Answer: 16

Step-by-step explanation:

The expression can be rewrite as [tex](2\times x)+(2\times4)[/tex] using distributive property and on simplification ,it gives [tex]2x+8[/tex] .

Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.

Let's use properties to calculate given the expression. The number 2 is divided by two addends. Simply put , multiply each summand by 2 and add the products together.

By using distributive property , we get

[tex]2(x+4)=(2\times x)+(2\times4)[/tex]

On simplifying , we get

[tex](2\times x)+(2\times4)=2x+8[/tex]

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the distributive property}\\\\\huge\textbf{formula?}[/tex]

[tex]\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}[/tex]

[tex]\huge\textbf{But what about your equation?}[/tex]

[tex]\mathsf{2(x + 4)}\\\\\mathsf{= 2(x) + 2(4)}\\\\\mathsf{= 2x + 8}[/tex]

[tex]\huge\text{Therefore your answer should be: \boxed{\mathsf{2x + 8}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

slope = - 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, - 6 )

m = [tex]\frac{-6-3}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3

The surface area of the box in square inches will be 39.0625 inches².

From the information, the gift box has a surface area of 6.25 square feet.

Therefore, the surface area of the box in square inches will be:

= Side × Side

= 6.25 × 6.25

= 39.0625 inches²

Therefore, the surface area of the box will be 39.0625 inches².

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Answer:here is ur answer

Solution (b): The function y = f (x + 5) is of the form y = f (x + c). Therefore, the graph of y = f (x + 5) will be the same as that of f (x) but shifted to.

step-by-step explanation: i really hope this helps lmk if i am wrong (: <3

the coefficient "b" (the one with the linear term) is 12.

The general quadratic equation is:

a*x^2 + b*x + c = 0

I guess that you want to find the coefficient "b" on the given equation.

Then we can just expand the given quadratic equation:

(2x + 3)^2 = 0

(2x + 3)*(2x + 3) = 0

Expanding that we get:

4x^2 + 6x + 6x + 9 = 0

4x^2 + 12x + 9 = 0

So the coefficient "b" (the one with the linear term) is 12.

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The probability that all the 4 cards are

1) hearts = 0.0026

2) face cards = 0.0018

3) even cards = 0.0179

In a standard deck of cards, we have:

Total number of cards= 52

1) The probability that all the cards are hearts.

In a standard deck of cards, we have:

the number of Hearts = 13

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are hearts is:

P1 = 13/52 × 12/51 × 11/50 × 10/49

P1 = 0.25 × 0.2353 × 0.22 × 0.2041

P1 = 0.0026

2) The probability that all the cards are face cards.

In a standard deck of cards, we have:

Face card = 12

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are face cards.

P2 = 12/52 × 11/51 × 10/50 × 9/49

P2 = 0.2308 × 0.2157 × 0.2 × 0.1837

P2 = 0.0018

3) The probability that all the cards are even.

In a standard deck of cards, we have:

Even cards = 20

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are even.is:

P3 = 20/52 × 19/51 × 18/50 × 17/49

P3 = 0.3846 × 0.3725 × 0.36 × 0.3469

P3 = 0.0179

Hence, the probability that all the 4 cards are even is 0.0179

Therefore, the probability that all the 4 cards are

1) hearts = 0.0026

2) face cards = 0.0018

3) even cards = 0.0179

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4x-8=-2x + 20

4x+2x= 20 + 8

6x=28

x=28 : 6

x= 4,6

Answer: ≈900,000,000

Step-by-step explanation:

[tex]943,158,679.3491\approx900,0000,000[/tex]

Answer:

2x+5y+20

Step-by-step explanation:

Answer:

151 shirts

Step-by-step explanation:

2578 divided by 17 is 151.647...

Answer:151

Step-by-step explanation:2578 divided by 17 equals 151.6470588. you cant have a partial shirt so you have to round down or you will go over your money

1. The groups of 1/9 that are in 2 is 18.

2. 2 divided by 4/9 is 4 1/2.

It should be noted that the information relates to fractions. In this case, they'll be solved this:

The groups of 1/9 that are in 2 will be:

= 2 ÷ 1/9

= 2 × 9

= 18

Also, 2 divided by 4/9 will be:

= 2 ÷ 4/9

= 2 × 9/4

= 9/2

= 4 1/2

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Answer:0.02709

Step-by-step explanation: Just mutiple both of the numbers

Answer:

0.02709

Step-by-step explanation:

Just use your calculator to multiply the numbers

hope it helps, please give brainliest

Answer:

about 45239 cm²

Step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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Yes, it is possible to draw a plane that contains a line and a point not in the line.

A plane is a flat two-dimensional surface that extends to infinity. Planes are points (0-dimensional), lines (1-dimensional), and the 2-dimensional analogue of 3-dimensional space. The plane has zero thickness, zero curvature, infinite width, and infinite length. It's actually difficult to imagine an airplane in real life. All the flat surfaces of a cube or cuboid, the flat surface of paper are all practical examples of geometric planes.

In any dimensional Euclidean space, a plane is uniquely defined by either: Use three non-collinear points. Use points and lines that are not on this line. Use two different lines that intersect.

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Answer:

n ≤ -1

Step-by-step explanation:

Inequality is a concept that refers to the unequal distribution of resources, opportunities, or status among individuals or groups. It can be measured in a number of ways, including income inequality, wealth inequality, and educational inequality.

For the Question:

Let's solve for 'n':

Given inequality:

[tex]\sf 9 + 8n \leq 1[/tex]

Subtract 9 from both sides:

[tex]\sf 9 + 8n -9 \leq 1 -9[/tex]

[tex]\sf 8n \leq -8[/tex]

Divide both sides by 8 (remember, since you're dividing by a negative number, the inequality sign flips):

[tex]\sf \dfrac{8n}{8} \leq \dfrac{-8}{8}[/tex]

n ≤ -1

So, the solution for 'n' that satisfies the inequality is n ≤ -1.

The simplified version of first expression is  y² + 10y + 25 and  simplified version of second expression is  y²  – 25

The first polynomial expression on the left is (y + 5)²

= y² + 2×y×5 + 5² (using the formula (a + b)² = a² + 2ab + b²)

= y² + 10y + 25

The second polynomial expression on the left is (y + 5)(y – 5)

= y(y – 5) + 5(y – 5)

= y² – 5y + 5y – 25

= y²  – 25

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The complete question is given below :

The polynomial expression on the left is (y + 5)², and the simplified version on the right for this polynomial is y² + 10y + 25.

The polynomial expression on the left is (y – 5)(y + 5), and the simplified version on the right for this polynomial is y² – 25.

Let x be a rational number and y be an irrational number. This is the correct choice.

Allow xy=a.

Suppose an is a rational being.

A can be stated as q p since it is rational, where p and q are both integers.

Let x = n m, where n and m are both integers.

Then, xy=a

n \smy \s​ \s = \sq \sp \s​ \s .

When we cross multiply, we obtain,

⇒y= qm \spn \s​ \s .

Pn and qm are currently integers.

Consequently, qm pn is a rational number.

Y, however, is illogical.

Consequently, our assumption is unfounded.

Therefore, an irrational number is always the result of adding a non-zero rational number to an irrational number.

a number that cannot be written as the quotient of two integers and cannot be expressed as an infinite decimal with a series of consecutive digits repeating itself forever.

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Answer:

172

Step-by-step explanation:

im still learning that

Step-by-step explanation:

Answer:

A function is a type of relation. A relation is the pairing of numbers from two sets. x = 8 is not a relation (no pairing) therefore it cannot be a function.

With the help of basic Arithematic Operations it is concluded that the store lose $7.25 by giving away the free tubes of paint.

A formula that depicts grouping objects into a bigger collection. The plus sign (+) serves as a symbol for it.

A calculation that symbolizes the process of determining a difference between two numbers or units. The negative sign serves as a symbol for it (-).

The cost of a paint tube = $7.25

The cost of 2 paint tubes = $7.25 + $7.25 = $14.50

Therefore, subtracting the cost of one free paint tube from the total cost of two paint tubes

$14.5 - $7.25 = $7.25

Hence, the store lose $7.25 per sale by giving away the free tubes.

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Answer I really don’t know math

Step-by-step explanation:

The cargo plane's speed is 576.7 km /hour.

Given, the cargo plane flew away 9 hours before an air force plane.

The air force plane is in the opposite direction.

speed of the air force plane is : 260 km/hr

time = 3 hours

distance for which plane's are apart = 5970 km

therefore, 9x + 3(260) = 5970

9x + 780 = 5970

9x = 5970 - 780

9x = 5190

x = 5190/9

x = 576.7 km

hence the speed of the cargo plane is 576.7 km.

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Answer:

lol

Step-by-step explanation:

literally where's the question only answer??

Answer:

???

Step-by-step explanation: