Scientists often use a pan balance to measure mass when doing experiments. The equation 5 +4 -2 = 9 - 2 represents when a scientist takes 2 units of mass from

each side of a pan balance. Construct an argument to explain how the scientist knows that the pans are still in balance.

amount of mass was

so the mass in the pans

and the pans stay in balance.

The number of cattle would be 136,000 and the comparable ratio would be 4/10.

When we compare two ratios, they are said to be equivalent.

To determine whether two or more ratios are equivalent, they can be compared to one another.

For instance, ratios 1:2 and 2:4 are equivalent.

Equivalent ratios are two ratios with the same value.

By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.

Finding equivalent fractions follows the same procedure.

So, an equivalent ratio is required by the question.

This refers to a fraction that is equal to 2/5 of the fraction between 700 and 799.

We multiply the numerator and denominator by the same amount to produce an equivalent fraction.

When we divide both by 2, we get:

(2*2)/(5*2) = 4/10

While working with thousands, tenths are helpful since subtracting a zero when taking a tenth makes it usable.

As a result, 1/10 would equal 34000, and 4/10 would equal four times that: 4(34000) = 136000.

Therefore, the number of cattle would be 136,000 and the comparable ratio would be 4/10.

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Complete question:

There were about 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700- 799 pounds. How many of the 340,000 cattle placed on feed were between 700-799 pounds?

Weight Group. Fraction of total cattle

less than 600. 1\5

pounds.

600-699. 11/50

700-799. 2\5

800. 9\20

The values x = -1 and x = 7 are the real solutions of the given graph.

A cubic formula incorporating the nth roots, the four fundamental operations of arithmetic, and the four coefficients (radicals).

The required real roots for the function f(x) = 0 are the points where the given curve intersects the x-axis on the graph.

From the given graph, we can see that the real solution of the given graph are x = -1 and x = 7.

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A measure of central tendency is a single data that represents the center spot of a dataset. This data can also be known as “the central location” of a dataset.

In statistics, there are mainly three common measures of central tendency:

1. The mean is: (41 + 44 + 99 + 46 + 39 + 47 + 38 + 46) / 8 = 46

2. The median is:

38, 39, 41, 44, 46, 46, 47, 99

Middle values: 44 and 46

Average of middle values: (44 + 46) / 2 = 45

The median of this data set is 45.

3.  In this case, the mode is 46, as it appears twice in the data set.

All of these measures find the central location of a dataset using various methods. Depending on the type of data you are analyzing, one of these three measures may be better to use than the other two.

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When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to cyclohexane bridge.

A "cyclohexane bridge," where the two six-membered rings are connected by two carbon atoms, which act as a bridge between them. The conformation of this bridge can vary, and it is often depicted as a zigzag line in organic chemistry diagrams.

The exact conformation of the bridge and the two chair conformations of the rings will depend on the specific molecule being discussed.

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-- The given question is incomplete, the complete question is

"When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to _______" --

By transitive property, proved RQ is parallel to SU.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that,

RS║VT

∠6≅∠3

To prove: RQ║SU

RS║VT (Given)

∠6≅∠3 (Given)

∠5≅∠3 (Alternate interior angles between the parallels RS and VT)

Now, ∠6≅∠5 (Transitive property)

Since, ∠6 is congruent to ∠5, then they are alternate angles between RQ and SU.

Then, RQ║SU

Hence, proved RQ is parallel to SU.

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The required cost per person of the purchased vegetables is given as  $7.62.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The total cost of vegetables for 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives is given as,

= 5/2× 1.24 + 4/3 ×2.82 + 2 × 4.19
= $15.24

This, amount of the bill is split between two people,
= 15.24 / 2
= $7.62

Thus, the required cost per person of the purchased vegetables is given as  $7.62.

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Answer:

23/100

Step-by-step explanation:

The graph of one period of: y = -8 cos 5x is graph (a)

From the question, we have the following parameters that can be used in our computation:

y = -8 cos 5x

Tto graph one period of y = -8 cos 5x, we use the following

Connect the maximum and minimum points with a smooth curve to form one period of the function.

In this case, the graph is (a)

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(a + b) * (a + b) = a * a + a * b + a * b + b * b = [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex]

This is an example of how the final result can end up with only three terms.

When you multiply two binomials, the result can sometimes have fewer than four terms because some of the terms may be combined or simplified.

The reason for this is that when you multiply two binomials, you use the distributive property, which states that you can multiply each term in one binomial by each term in the other binomial. The product of each pair of terms is a term in the final result.

For example, if you multiply (a + b) and (c + d), the final result will have four terms:

(a + b) * (c + d) = a * c + a * d + b * c + b * d

However, if one of the terms in either binomial is equal to zero, then the product of that term and the other term will be equal to zero, and that term will not appear in the final result:

(a + b) * (0 + d) = a * 0 + a * d + b * 0 + b * d = a * d + b * d

This is an example of how the final result can end up with only two terms.

Another way the final result can end up with only two terms is if two of the terms are equal to each other. When this happens, you can add them together and simplify the expression:

(a + b) * (a + b) = a * a + a * b + a * b + b * b = a^2 + 2ab + b^2

This is an example of how the final result can end up with only three terms.

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Answer:

10^(3m-2n)

Step-by-step explanation:

Whenever we divide powers, we subtract them.

1000^m can be written as 10^3 (10×10×10)

100^n can be written as 10^2 (10×10)

So, we get 10^3m (m is multiplied by the power of 3) and 10^2n (n is multiplied by the power of 2).

So, the answer would be 10^(3m-2n).

Answer:

Step-by-step explanation:

i guess converges

The tallest that his daughter can be is 35inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

Mr. Wilson's height is at least 6 inches more than twice his daughter's height.

He is 76 inches tall.

Now, let the height of daughter be x

So, 2x+6=76

x+3=38

x=35

Therefore, by the equation the height of daughter will be 35inches.

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Answer: search it up

Step-by-step explanation:

[tex]2x+2y=-8 \implies x+y=-4 \implies y=-4-x[/tex]

We can substitufe this result into the second equation.

[tex]-10x-5(-4-x)=-5 \\ \\ -10x+20+5x=5 \\ \\ -5x+20=5 \\ \\ -5x=-15 \\ \\ x=3 \implies y=-4-3=-7[/tex]

[tex]\therefore[/tex] The solution is [tex](3,-7)[/tex].

the correct choice is tilted to the right.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

The given statement is "The salary of everyone employed by a large university."

The distribution is skewed to the right because the starting pay for all employees at a large university is modest and there may be select positions with significant payouts.

Therefore, the correct choice is tilted to the right.

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The distance that exists from point A to B is 583 feet

The distance is given as Xa - Xb

WE have to solve for Xa

Tan 7 = 141 / Xa

Xa = 141 / Tan 7

Xa = 1148.4

Next we have to solve for xB

At B the vertical change remains 141 we are to find XB using the angle 14 degrees

Tan 14 = 141 / Xb

Xb = 141 / tan 14

Xb = 565.52

Then the distance = 1148.4 -  565.52

= 582.88

≈ 583 feet

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Becca hit 21 + 7 = 28 home runs.

The addition is the method of adding two or more entities together. In math, addition is the procedure of calculating the sum of two or more numbers.

It is a preliminary arithmetic operation that is typically used in our day-to-day life. One of the most common uses of addition is when we deal with money, calculate our bills, or calculate time.

The addition is an operation used to sum up, numbers. The result that is received after addition is known as the sum of the given numbers.

For example, if we wish to calculate the Becca hit, we would add the Beverly hit and 7.

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--The given question is incomplete; the complete question is

"Becca hit 7 more home runs than Beverly. Beverly hit 21 home runs. How many runs did Becca hit?"--

There are infinitely many possible solutions to a continuous linear function graph or equation.

A constant rate of change here in the coordinate plane describes a straight line. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane. This function may be expressed as f(x) = 3x - 2 since y can be substituted with f(x).

An unlimited number of solutions exist for a linear function. Therefore, we may replace the domain with an endless amount of values.

A table lists all of the possible solutions.

All of the solutions are represented by an equation or graph.

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The triangle midsegment is a very important concept in geometry, and the triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and has a length equal to half of the length of the third side

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side of the triangle and has a length that is equal to half of the length of the third side.

In this explanation, we will define the midsegment of a triangle and explain the triangle midsegment theorem in more detail.

To begin, let's consider a triangle ABC with midpoints D and E on sides AB and AC respectively. The segment DE is the midsegment of triangle ABC.

According to the triangle midsegment theorem, the length of DE is equal to half the length of the third side of the triangle, BC. Mathematically, this can be represented as follows:

DE = BC/2

In addition to the length, the midsegment of a triangle is also parallel to the third side. This means that if we extend the midsegment, it will eventually intersect the third side of the triangle.

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and also has the same length as half of the third side.

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As per unitary method, Jake painted 6 more birdhouses red than yellow.

The Unitary Method is a strategy used to simplify mathematical calculations. The idea is to make the calculation easier by breaking down the numbers into smaller parts and then recombining them to find the final answer.

In this problem, we want to find out how many more birdhouses Jake painted red than yellow. To do this, we'll use the Unitary Method to subtract 7 from 13.

Starting with the larger number, we'll break down 13 into 10 and 3. We can then subtract 7 from 10 and find that there is a difference of 3.

This means that we have 3 left over from the larger number, which we can add to the smaller number (3) to find the final answer.

Therefore, the final answer is 3 + 3 = 6.

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The greatest common factor (GCF) of 18, 30, and 54 is 6.

The greatest number that divides two or more numbers without leaving a residue is known as the GCF.

The prime factorization approach is the most effective way to resolve this issue.

Using this technique, you will first determine the largest common factor amongst each number's prime factors.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 30 is 2 x 3 x 5. The prime factorization of 54 is 2 x 3 x 3 x 3.

The largest common factor amongst all of them is 6, which is the GCF.

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Answer:

m-n/2

Step-by-step explanation:

we are here given that,

[tex]\longrightarrow \log_{a}(15)=m [/tex] and ,

[tex]\longrightarrow \log_{a}(5) = n [/tex]

Taking the first given equation, we have;

[tex]\longrightarrow \log_{a}15=m \\ [/tex]

[tex]\longrightarrow \log_{a}(5\times 3) = m\\[/tex]

[tex]\longrightarrow \log_a 5 + \log_a 3 = m [/tex]

now substitute the value from second equation,

[tex]\longrightarrow n + \log_a 3 = m \\ [/tex]

[tex]\longrightarrow \log_a(\sqrt3)^2 = m - n \\ [/tex]

[tex]\longrightarrow 2 log_a \sqrt3 = m - n \\ [/tex]

[tex]\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} [/tex]

And we are done!

As per unitary method, Maliyah's bus ticket to New Orleans will cost $101.76 after using a coupon code and paying the tax.

The Unitary Method is a problem-solving strategy that is used to break down complex problems into smaller, more manageable parts.

To determine the final cost of Maliyah's bus ticket to New Orleans, we will use the unitary method of problem solving. This method involves breaking down the problem into smaller parts and solving each part separately to find the final answer.

The first step is to find the discounted price of the ticket. To do this, we multiply the original price of $120 by the discount percentage of 20%.

$120 * 0.20 = $24

Next, we subtract this amount from the original price to get the discounted price.

$120 - $24 = $96

Next, we find the amount of tax charged on the discounted price by multiplying the discounted price by the tax rate of 6%.

$96 * 0.06 = $5.76

Finally, we add this amount to the discounted price to get the final cost of the ticket.

$96 + $5.76 = $101.76

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Answer: -3/5

Step-by-step explanation:Where is says f(3/5), plug the value of 3/5 wherever you see x. In this case it would be after the negative 5 and positive 2. Solve the rest using basic addition,subtraction, and multiplication rules. The answer should turn out to be -3/5/

The relation that represents a function is the last one:

x: 1, 2, 3, 4

y: 1, 1, 1, 1,

A function is a relation where each one of the inputs is mapped into a single one output.

For example the first option has the input x = 1 mapped into 3 different outputs, then it is not a function.

The only one that is a function is the last one:

x: 1, 2, 3, 4

y: 1, 1, 1, 1,

Where none of the inputs appears more than one time.

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The measure of the angle N will be 82.8 degrees.

The square of the length of any one side of a triangle is equal, by the cosine rule, to the sum of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.

Given that the formula form cosine law is,

a²=b²+c²- 2.bc.cos(A)

Let us assume the values a = 6, b = 5, and c = 4. The angle N will be calculated as:-

a²=b²+c²- 2.bc.cos(A)

6² = 5² + 4² - 2 x 5 x 4 cos(A)

36 = 25 + 16 - 40cos(A)

-5 = - 40cosA

cosA = 1 / 8

A = cos⁻¹( 1 / 8 )

A = 82.81°

Therefore, the value of angle N is 82.81°

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Answer:

b = 93° , c = 87°

Step-by-step explanation:

b and 93° are vertically opposite angles and are congruent , then

b = 93°

c and 93° are a linear pair and sum to 180° , that is

c + 93° = 180° ( subtract 93° from both sides )

c = 87°

Answer:

b=93

c=87

Step-by-step explanation:

1. For b, the angle is 93 degrees because of the vertical angle theorem, where two straight lines intersect, forming two sets of linear pairs with congruent angles.

Therefore, that angle is 90 degrees.

2. For c, use the given angle that is provided, since angle C and the given angle are supplementary (equaling 180 degrees), we can subtract the total (180) from the part (93)

180 - 93 = 87

Answer:

i think the answer is (2x+4)

The person that is farther from the cafeteria would be Valerie.

To determine which student is farther from the cafeteria, we need to calculate the distance each student has traveled from the cafeteria.

For Russell, his total displacement can be calculated using vector addition:

10 yards (due West) + 5 yards (South of West) = 10.87 yards at an angle of 305° from due West.

For Valerie, her total displacement can be calculated using vector addition:

10 yards (due East) + 5 yards (North of East) = 12.5 yards at an angle of 75° from due East.

Since the magnitude of the vector representing Valerie's displacement is larger, she is farther from the cafeteria.

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