The total weight of a shipment of boxes is 112 pounds. There are 7 packages in the shipment, and
each package weighs the same amount. The model below can be used to determine w, the weight
of each package.
O 1.6 lbs.
O 78.4 lbs.
O 16 lbs.
O 8 lbs.

Answer:

is 152.4 cm.

As the point (2,5)is represented on the graph, the  point  (0,0) also belongs to  the given  graph.

Firstly, we know that the point (0,0) is the origin, which is the point where the x- and y-axes intersect. This means that the graph must have both x- and y-axes, and it is likely to be a Cartesian coordinate system.

Secondly, we know that the point (2,5) is located on the graph. Since (0,0) and (2,5) do not lie on a vertical or horizontal line, we cannot determine the shape of the graph with certainty. However, we can say that the graph is not a simple straight line or a perfectly circular shape, since those shapes would only intersect the axes at one or two points respectively.

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An online calculator to solve a system of equations is a tool that allows users to find the solutions to a set of equations with multiple variables.

It uses various methods such as substitution, elimination, and matrix operations to find the values of the variables that satisfy all the equations in the system. These calculators can be useful in solving real-world problems that involve multiple variables and equations, such as in engineering, economics, and science. Users can input the coefficients of the equations and the variables' names, and the calculator provides the solutions in numerical or symbolic form.

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Using arithmetic operators, the value of x are -19/5, 19/6, -9/5, 2, no solution and 9 respectively

To solve this problem, we need to apply basic arithmetic operators

1.

1 / (x + 4) = 5

Cross multiply both sides

5(x + 4) = 1

5x + 20 = 1

5x = -19

x = -19/5

2.

1/(x - 3) = 6

Cross multiply both sides

1 = 6(x - 3)

1 = 6x - 18

19 = 6x

x = 19/6

3.

1/(x + 2) = 5

1 = 5(x + 2)

1 = 5x + 10

5x = -9

x = -9/5

4.

1 /(2x - 3) = 1 / (5 - 2x)

cross multiply both sides

2x - 3 = 5 - 2x

collect like terms

2x + 2x = 5 + 3

4x = 8

x = 2

5.

2 - 1/(x + 3) = 1/ (x + 3)

Collect like terms

2 = 1/(x + 3) + 1/(x + 3)

2 = (x + 3) + (x + 3) / x + 3

2 = 2x + 6 / x + 3

cross multiply bot sides

2(x + 3) = 2x + 6

2x + 6 = 2x + 6

0 = 0

6.

2 / (x - 3) = 3 / x

cross multiply both sides

2x = 3(x - 3)

2x = 3x - 9

3x - 2x = 9

x = 9

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Answer:

An isosceles triangle has sides of length xcm and 9cm.It perimeter is less than 24cm and x is a whole number.

find the lowest value of x

highest value of x

Answer:

I'll let you figure it out.

Step-by-step explanation:

A. First you separately take each of the two fractions and you multiply both sides to get the same denominator (bottom half of the fraction) for the two fractions, and then you combine the numerators (top half of the fraction) together while keeping the same denominator (simplify if needed). That's the fraction of students who don't walk home (answer for B). Then change the numerator to the (denominator - the numerator), and keep the same denominator, then simplify if needed (answer for C). This whole paragraph is the answer for A (but write it as your own words if you can).

This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.

An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:

2x + 3 = 7

contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.

Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:

2x = 4

Then, we can divide both sides by 2 to get:

x = 2

This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.

Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.

To solve for y, we need to isolate y on one side of the equation.

y + 2 = 2x

Subtract 2 from both sides:

y + 2 - 2 = 2x - 2

Simplify:

y = 2x - 2

Therefore, the solution for y is y = 2x - 2.

This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.

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The conventional conversion rates state that 1.72 is equivalent to 5.504 feet.

We use the unit of the meter to measure the distance between any two objects, but we may also use the unit of the foot for short distances because these two units are interchangeable.

One meter is equivalent to 3.2 feet using common conversion factors used in the US.

The measurement of 1.72 metres into feet may be determined using the same conversion factor.

We shall thus write 1 m = 3.2 ft.

1.72m is 1.78 x 3.2 feet, or 5.504 feet.

The result is that 1.78 meters is equivalent to 5.696 feet.

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The order of a matrix is a way to describe its size or dimensions in terms of the number of rows and columns it has.

It is typically represented by the notation m x n, where m is the number of rows and n is the number of columns. For example, a matrix with 3 rows and 4 columns would have an order of 3 x 4.

The order of a matrix is important because it determines how the matrix can be operated on or manipulated, such as in matrix addition, multiplication, or transposition.

It is a fundamental concept in linear algebra and is used extensively in many fields, including mathematics, physics, engineering, and computer science.

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False. Comparing marginal distributions of two variables only gives information about each variable separately and not their relationship.

Comparing the marginal distributions of two variables only shows the distribution of each variable individually and not their relationship. For example, suppose we have two variables X and Y. If we compare the marginal distributions of X and Y separately, we may see that one variable has a higher frequency of a certain value than the other variable, but this does not necessarily imply that there is a relationship between the two variables. To determine whether there is a relationship, we need to look at the joint distribution of X and Y, which can be displayed in a scatterplot or analyzed using a correlation coefficient.

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True. Comparing two marginal distributions can show if the corresponding two variables are related. This can be done by calculating the correlation coefficient of the two variables.

The correlation coefficient is a numerical measure of the degree of the linear relationship between two variables and can be calculated by dividing the covariance of the two variables by the product of their standard deviations. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation and 1 indicates a perfect positive correlation.

If the correlation coefficient is close to zero, then the two variables are not significantly related. If the correlation coefficient is close to -1 or 1, then it can be inferred that the two variables are related.

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The conversion of 71 inches is equal to 5.9166666667 feet.

The US customary measuring unit is the foot,

It is denoted by the letter "ft."

To convert 5 meters (m) to feet,

The imperial and American customary systems of measuring both use the symbol "in" to represent 1 inch as a unit of length.

It was decided that one inch was exactly equal to 25.4 millimetres.

12 inches make up a foot, and 36 inches make up a yard.

We know that,

1 in = 0.0833333333 ft

1 ft = 12 in

1 in = 2.54 cm and 1 cm equals 0.3937007874 in

To convert inches to feet,

We need to divide the number of inches by 12,

Since there are 12 inches in a foot.

Therefore,

71 inches divided by 12 gives us:

71 inches ÷ 12 = 5.9166666667 feet

(rounded to ten decimal places)

So 71 inches is equal to approximately 5.9166666667 feet.

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The three rules of logs are the product rule, quotient rule, and power rule.

The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.

Product rule:

The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.

Quotient rule:

The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.

Power rule:

The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.

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Answer:

−16n² −4n −4

Step-by-step explanation:

=(4)(−4n²+−n+−1)

=(4)(−4n²)+(4)(−n)+(4)(−1)

=−16n² −4n −4

Answer:

-60

Step-by-step explanation:

Answer:

An additive inverse is just the opposite of a given number. A number a is the number that when added to a yields zero.

Your answer is -60

Step-by-step explanation:

The possible outcomes for flipping a two-sided tile once are:

Toss 1 Toss 2 Toss 3

Black Black Black

Black Black White

Black White White

Black White Black

White White White

White White Black

White Black Black

White Black White

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, If we flip the tile three times, the sample space will consist of all possible outcomes of the three flips.

Hence, Each flip is independent, so the total number of possible outcomes is the product of the number of outcomes for each flip, which is 2.

Therefore, the sample space for flipping the tile three times is:

BBB,

BBW,

BWB,

BWW,

WBB,

WBW,

WWB,

WWW

Where,

B = the black side facing up, and

W = the white side facing up.

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Answer:

En total hay 22 + 31 + 32 = 85 bolas. De estas, 31 hijo b

Por lo tanto, la probabilidad de que la primera bola en un carril sea una bola de doce libras es:

P(bola de doce libras) = número de bolas de doce libras / número total de bolas

P(bola de doce libras) = 31 / 85

P(bola de doce libras) ≈ 0.365

Por lo tanto, las probabilidades a favor de que la primera bola en un carril sea una bola de doce libras son de aproximadamente 0.365, o alrededor del 36.5%.

Step-by-step explanation:

espero te sirva

Answer: B

Step-by-step explanation:

The sum of angles of a polygon having 10 sides is equal to 1440°.

The sum of angles of a polygon having 10 sides is equal to 1440°. This can be calculated by using the formula:

Sum of angles of a polygon = (n - 2) * 180°

Where n is the number of sides of the polygon.

Therefore, substituting the value of n = 10 in the above formula, we get:

Sum of angles of a polygon = (10 - 2) * 180°

Sum of angles of a polygon = 8 * 180°

Sum of angles of a polygon = 1440°

Hence, the sum of angles of a polygon having 10 sides is equal to 1440°.

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The two equivalent expressions for the new acreage sold by the landowner are:

Both of these expressions will give the same result, which is the new acreage after the sale.

Another way to find the new acreage is to subtract the sold acreage from the total acreage. This is the same as the first expression, but it may be easier for some people to understand. For example, if the total acreage was 100 acres and the sold acreage was 20 acres, the new acreage would be 100 - 20 = 80 acres.

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Answer:

So the probability that Federico scores one point in this situation is 84%.

Step-by-step explanation:

The probability that Federico makes his first shot is 60%, so the probability that he misses it is 40%. If he misses his first shot, he doesn't get a second one, so the probability of scoring one point in this situation is the probability of making the first shot (60%) plus the probability of missing the first shot and making the second one (40% x 60%), which is:

0.60 + 0.24 = 0.84

So the probability that Federico scores one point in this situation is 84%.

Anil borrowed the sum of money $12,300 on rate of 10% per annum, for a period of 5 years.

We can use the simple interest formula to solve this problem:

Simple Interest = (Principal x Rate x Time) / 100

Where,

Principal = 12,300

Rate = 10% per annum

Simple Interest = 18,450 - 12,300 = 6,150

Substituting the given values in the formula, we get:

6,150 = (12,300 x 10 x Time) / 100

Simplifying the equation, we get:

Time = (6,150 x 100) / (12,300 x 10)

Time = 5 years

Therefore, Anil borrowed the money for a period of 5 years. Simple interest is a type of interest calculation where the interest is calculated only on the principal amount borrowed or invested. It is calculated as a percentage of the principal amount, multiplied by the time period of the loan or investment. Simple interest does not take into account any interest earned on interest, unlike compound interest. It is a straightforward method used to determine the total amount to be repaid on a loan or the interest earned on an investment. Simple interest is commonly used in personal loans, small business loans, and short-term investments.

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An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4  the nonzero time at which x = 0 is 1.22 seconds.

To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:

αt - βt^3 = 0

t(α - βt^2) = 0

The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):

t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s

Therefore, the object is again at x=0 after a time of 1.22 seconds.

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As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the information provided in the image, here are the closing entries for the accounting period:

Close the revenue accounts:

Account Titles Debit Credit

Income Summary 34,000

Service Revenue           34,000

Close the expense accounts:

Account Titles Debit Credit

Salaries Expense 8,000

Rent Expense         6,000

Supplies Expense 1,500

Income Summary           15,500

Close the Income Summary account to the Retained Earnings account:

Account Titles Debit Credit

Income Summary          19,500

Retained Earnings 19,500

Therefore, As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

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If the cost of 3/4 tons of wood chips is $21 then the cost per ton of wood chips is $28.

To find the cost per ton of wood chips, we need to first determine the total cost of 1 ton of wood chips. We know that the cost of 3/4 tons of wood chips is $21, so we can set up a proportion:

3/4 tons / 21 = 1 ton / x

where x is the unknown cost per ton.

To solve for x, we can cross-multiply and simplify:

3/4 tons × x = 21 × 1 ton

3/4 x = 21

x = 21 / (3/4)

x = 28

Therefore, the cost per ton of wood chips is $28.

Finding the cost per ton is a common problem encountered in many industries, particularly those that deal with bulk materials such as wood chips, sand, gravel, or other aggregates. To calculate the cost per ton, it is important to know the total cost of the material and the total weight (or volume) of the material. It's important to note that this method works for any bulk material, as long as the weight (or volume) and cost are known. This information can be used to make informed decisions about purchasing and budgeting for materials, as well as comparing costs across different suppliers.

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Answer:

188 cm rounded to the nearest whole number.

Step-by-step explanation:

1 rotation = 2[tex]\pi[/tex]r

2[tex]\pi[/tex](15)  If the dimeter is 30, the radius is 15

2 rotations would be

2[2[tex]\pi[/tex](15)]

188.495559218

Answer:

188.5 cm

Step-by-step explanation:

Circumference of a circle = C = 2πr = πD

D = 30 cm

C = π(30 cm) = 94.25 cm

2 revs = 2C = 2(94.25) = 188.5 cm

In this situation, interval measurement is being employed as the measurement level.

As the height of each student can be measured on a continuous scale with equal intervals between the values. It's important to note that the teacher may have rounded the measurements to the nearest unit, which would make it a discrete measurement.

Interval measurement is a level of measurement in which the values are measured on a continuous scale and have equal intervals between them, but there is no true zero point. This means that the difference between any two values on the scale is meaningful and consistent, but it is not possible to say that one value is "zero" or has no quantity of the measured attribute.

For example, measuring temperature in degrees Celsius or Fahrenheit is an example of interval measurement. In this case, the difference between 10 and 20 degrees is the same as the difference between 20 and 30 degrees, but there is no true zero temperature - a temperature of 0 degrees does not mean the absence of heat.

Another example of interval measurement is measuring time in minutes or hours. The difference between 10 minutes and 20 minutes is the same as the difference between 20 minutes and 30 minutes, but there is no "zero" point in time - even if nothing is happening, time continues to pass.

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After 54 days, 213.3 grams of protactinium will remain from the initial 488 grams.

In radioactive decay, the amount of material that remains after a given amount of time can be calculated using the equation A=A0e^-kt, where A is the amount remaining after time t, A0 is the original amount, k is the decay constant, and t is the elapsed time. In this problem, we are given that A0 = 488 grams, t = 54 days, and k = 0.0259. We can calculate the amount remaining after 54 days by plugging these values into the equation.

A = 488e-0.0259(54)

A = 488e-1.3926

A = 213.3 grams

In conclusion, after 54 days, 213.3 grams of protactinium will remain if 488 grams is initially present.

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The composite function has its value to be 25

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

f(x) = x^2 - 4

g(x) = 2x - 1

Given the composite function [f x g] (3)., we have

[f x g] (3) = f(3) * g(3)

Substitute the known values in the above equation, so, we have the following representation

[f x g] (3) = (3^2 - 4) * (2 * 3 - 1)

Evaluate

[f x g] (3) = 25

Hence, the solution is 25

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In Total, sofia spent 1/8 hours in driving.

What is fraction ?
A fraction is a mathematical expression that represents a part of a whole. It is a way of expressing a quantity as a ratio of two numbers, with one number (the numerator) written above a line and the other number (the denominator) written below the line.

Explanation:
To find the total amount of time Sofia spent driving, we can use the formula for adding two fractions with different denominators:

a/b + c/d = (ad + bc) / bd

Using this formula, we can add the fractions 1/3 and 1/5:

1/3 + 1/5 = (1 × 5 + 1 × 3) / (3 × 5) = 8/15

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