Brian b has a box of 96 forks for $4.98. what is the unit price for each brand?

Answers

Answer 1

Answer: To find the unit price for each fork, we need to divide the total cost of the box by the number of forks in the box.

The cost of the box is $4.98, and the box contains 96 forks. So the unit price for each fork is:

$4.98 ÷ 96 = $0.051875

Rounding to the nearest cent, the unit price for each fork is $0.05.

Step-by-step explanation:

Answer 2

Using the unitary method, we found that the cost of one fork of brand B is $0.051.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. We typically utilise this technique for maths computations. This method allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.

The worth of many things is supplied in the unitary technique, and we must either determine the value of more or fewer items. To do that, we must first determine the value of a single item by division and then determine the value of further or more items by multiplication.

Given,

The number of forks in a box of brand B = 96

  Price of 96 forks = $4.98

The unit price of brand B = Cost of one fork

Using the unitary method,

96 forks = $4.98

1 fork = $4.98 / 96 = $0.051

Therefore using the unitary method, we found that the cost of one fork of brand B is $0.051.

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Related Questions

W>2w-9 solve the inequality

Answers

The solution to the given inequality w > 2w - 9 is w < 9.

What is inequality?

Inequality is defined as mathematical pieces of information that have a minimum of two terms including variables or numbers that are not equal.

The "inequality" is given in the question, as follows:

w > 2w - 9

We have to solve the above inequality for w.

⇒ w > 2w - 9

Rearrange the term of variable w in the above inequality,

⇒ w - 2w > - 9

Apply the subtraction operation and solve for w:

⇒ - w > - 9

Multiply the negative sign and flip the sign of inequality:

⇒ w < 9

Thus, the solution to the given inequality is w < 9.

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¿Cuánto tiempo es necesario para que un capital se duplique a una tasa del 12% simple anual?

Answers

On solving the provided question we can say that at a simple 12% annual percentage rate, it would take approximately 6 years for capital to double.

What is percentage?

In mathematics, a ratio or number expressed as a percentage of 100 is called a percentage. Also occasionally used are the acronyms "pct.," "pct," and "pc." Nonetheless, the percentage symbol "%" is widely used to represent it. The % quantity is dimensionally empty. Basically, percentages are fractions when the denominator is 100.

The annual rate of return is 12%, so we can calculate:

Time to double = 72 / 12 = 6 years

Therefore, at a simple 12% annual rate, it would take approximately 6 years for capital to double.

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The correct question is -

How long does it take for capital to double at a simple 12% annual rate?

To find the volume of a prism, Frank multiplies the area of the base by the height. Frank finds the area of the base of a rectangular prism is 24 square inches.
How many inch cubes are needed to fill the bottom layer of the prism?

Answers

Answer:

24 inch cubes are needed to fill the bottom layer of the prism.

(-2, 5) and (-4,-5).

Answers

Answer: the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.

Step-by-step explanation:

(-2, 5) and (-4,-5) are two points in the coordinate plane.

The first point (-2, 5) has an x-coordinate of -2 and a y-coordinate of 5. This point is 2 units to the left of the y-axis and 5 units above the x-axis.

The second point (-4, -5) has an x-coordinate of -4 and a y-coordinate of -5. This point is 4 units to the left of the y-axis and 5 units below the x-axis.

To find the distance between these two points, we can use the distance formula:

distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Plugging in the coordinates of the two points, we get:

distance = sqrt[(-4 - (-2))^2 + (-5 - 5)^2] = sqrt[(-2)^2 + (-10)^2] = sqrt[104]

So the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.

My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap

Answers

The answer is 19. JM and ML are equal to each other

point slope form holt mcdougal practice B lesson 5-8 answer key??

Answers

The point slope form of a linear equation is an equation that describes the relationship between two variables, x and y, in terms of their linear relationship.

What is the point slope form?

It takes the form:.y - y₁ = m(x - x₁)

where (x₁, y₁) is a point on the line and m is the slope of the line.

In this form, you can find the equation of a line if you know a point on the line and the slope of the line. You can also use this form to find the equation of a line if you are given two points on the line, by first finding the slope using the two points, and then plugging in one of the points and the slope into the equation.

The point slope form can be useful in a variety of contexts, such as in graphing and in solving problems involving rates of change.

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5. Luis has three different rectangular prisms below.
4 cm
Prism A
5 cm
6 cm
3 cm
Prism B
8 cm
4 см
5 cm
Select all the true statements below.
A. Prism A and C have the same volume.
B. Prism B has a greater volume than Prism C.
C. Prism B has the least volume.
D. The volume of Prism A is 120 cubic centimeters.
E. The volume of Prism C is less than the volume of Prism A.
Prism C
7 cm
3 cm
6. Select all measurements that show equivalent volume to the rectangular prism
shown below.

Answers

Statements B , D and E are True.

Statements A and C are False.

What is Volume ?

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

A. Prism A and C have the same volume. - False

The volume of Prism A is 5 x 6 x 4 = 120 cubic cm, while the volume of Prism C is 7 x 3 x 5 = 105 cubic cm.

B. Prism B has a greater volume than Prism C. - True

The volume of Prism B is 8 x 4 x 3 = 96 cubic cm, while the volume of Prism C is 7 x 3 x 5 = 105 cubic cm.

C. Prism B has the least volume. - False

The volume of Prism A is 5 x 6 x 4 = 120 cubic cm, which is greater than the volume of Prism B.

D. The volume of Prism A is 120 cubic centimeters. - True

As calculated above, the volume of Prism A is 120 cubic cm.

E. The volume of Prism C is less than the volume of Prism A. - True

As calculated above, the volume of Prism C is 105 cubic cm, which is less than the volume of Prism A.

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the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.

Answers

Answer:

middle set of data

Step-by-step explanation:

true/false. problem 3-1a (static) determine accrual-basis and cash-basis revenues and expenses (lo3-1, 3-2) required: for each transaction, determine the amount of revenue or expense, if any, that is recorded under accrual-basis accounting and under cash-basis accounting in the current period.

Answers

Answer:

true

Step-by-step explanation:

cause I’ve done this before

Solve the inequality |1-2x| -4 > -1
. Simplify all fractions as much as possible. Express your answer as an integer or fraction, and not as a decimal. If the answer is a fraction, provide the answer as "a/b". Do not leave spaces between characters.
x< ? or x> ?

Answers

Answer:

[tex]x < -3\text{ or }x > 3[/tex]

Step-by-step explanation:

[tex]|1-2x|-4 > 1\\|1-2x| > 5\\\\1-2x > 5\\-2x > 6\\x < -3\\\\1-2x < -5\\-2x < -6\\x > 3[/tex]

The quotient of a number and 7 is 8. Use n to represent “a number”.

Answers

Answer:

Step-by-step explanation:

n+7=8

n=1

Mrs. Grady surveyed 30 students, 13 of which said they liked basketball, 18 of which said they liked hockey, and 4 of which said they liked both sports.

(a) How many students did not like either sport?

(b) How many students liked exactly one of the sports?

Answers

Answer:

Step-by-step explanation:

(a) To find the number of students who did not like either sport, we can use the formula:

Total students = Students who like basketball + Students who like hockey - Students who like both sports + Students who like neither sport

We know that the total number of students surveyed is 30, and we also know the number of students who like basketball, hockey, and both sports. We can use this information to solve for the number of students who like neither sport:

30 = 13 + 18 - 4 + Students who like neither sport

Simplifying this equation, we get:

3 = Students who like neither sport

Therefore, there were 3 students who did not like either sport.

(b) To find the number of students who liked exactly one of the sports, we can subtract the number of students who liked both sports from the total number of students who liked at least one of the sports. We know that 13 students liked basketball, 18 students liked hockey, and 4 students liked both sports. To find the number of students who liked at least one sport, we can add the number of students who liked basketball and the number of students who liked hockey, but we need to make sure we don't count the 4 students who liked both sports twice:

Number of students who liked at least one sport = Students who like basketball + Students who like hockey - Students who like both sports

Number of students who liked at least one sport = 13 + 18 - 4 = 27

Therefore, the number of students who liked exactly one sport is:

Number of students who liked exactly one sport = Number of students who liked at least one sport - Number of students who liked both sports

Number of students who liked exactly one sport = 27 - 4 = 23

So there were 23 students who liked exactly one of the sports.

5x2 + 2x − 3) − (2x2 − 3x + 7) expressed as a trinomial

Answers

Answer:

13x-16

Step-by-step explanation:

I am assuming that you mean 5*(2 + 2x − 3) − (2*2 − 3x + 7).

That equals 10x-5+3x-11=13x-16

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) + sin(x) 9 dx sin(2x)

Answers

Value of integral ∫cos(x) + sin(x) 9 dx sin(2x) is  

-9cos(x)sin(2x) + sin(2x)sin(x) + c.sin(2x)

What is integral?

In mathematics, integrals are the continuous analogues of sums and are used to calculate areas, volumes, and their generalizations. Integration (the process of computing an integral) is one of the two basic operations in calculus, the other being differentiation.

Given,

∫(cos(x) + sin(x).9)dx . sin2x

simplifying

sin(2x) ∫(9sinx + cosx)dx

sin(2x) (9∫sin(x)dx+∫cos(x)dx)

sin(2x) (-9cos(x) + sin(x) + c)

Using distributive law

= sin(2x)(-9cos(x)) + sin(2x)sin(x) + sin(2x).c

= -9cos(x)sin(2x) + sin(2x)sin(x) + c.sin(2x)

Hence,  -9cos(x)sin(2x) + sin(2x)sin(x) + c.sin(2x) is the value of integral

∫(cos(x) + sin(x) . 9)dx sin(2x)

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Can someone please check my answers?

Answers

Answer:

answer is mentioned in the pdf .Your answer is incorrect

Answer:

See attached image and explanation below

Step-by-step explanation:

For the first table:
The cumulative frequency for each class interval is obtained by adding that class frequency to the sum of all frequencies less than that class interval

So the table will look as in the first image attached

The second table talks about cumulative relative frequency and it uses the same technique as above but we are dealing with relative rather than absolute frequencies

The second image shows the correct values

Your relative frequency table (the third image you posted) is correct

Determine whether the arguments are valid or invalid.
A ). She will go to school or she will get a job. She will not get a job. Therefore, she will go to school.
B). If Cathy is a gambler, then she lives in Marine. Cathy lives in Marine and she loves horses. Therefore, if Cathy does not love horses, she is not a gambler.

Answers

The statement if Cathy does not love horses, she is not a gambler is valid.

How to find the relative frequency?

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

We are given;

The two arguements

Now,

A). The argument is valid. This is an example of the disjunctive syllogism, which is a valid form of argument. If we have a disjunction "A or B", and we know that A is false, then we can conclude that B must be true. In this case, "she will go to school or she will get a job" is the disjunction, and "she will not get a job" tells us that "she will not get a job" is true. Therefore, we can conclude that "she will go to school" must be true.

B). The argument is invalid. This is an example of the fallacy of affirming the consequent. The conditional statement "if Cathy is a gambler, then she lives in Marine" tells us that if Cathy is a gambler, then she lives in Marine. However, it does not tell us anything about whether Cathy is a gambler or not. The fact that "Cathy lives in Marine and she loves horses" does not give us any information about whether Cathy is a gambler or not.

Therefore, by the given conditions answer "if Cathy does not love horses, she is not a gambler" will be valid

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Points D, E, and F are on circle C and EF ≅ DF.

What is the measure of ∠CDF?
14°
19°
26°
38°

Please explain, I want to know how to get the answer.

Answers

Answer:its 1.4>1.3

Step-by-step explanation:I THINK ITS 1.4>1.3

Embassy Motorcycles (EM) manufacturers two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine requires 6 hours of manufacturing time and each Lady-Sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2100 hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Lady-Sport frame is more complex and the supplier can only provide up to 280 Lady-Sport frames for the next production period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each Lady-Sport model. A maximum of 1000 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $2400 for each EZ-Rider produced and $1800 for each Lady-Sport produced. a) Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit. c)Which constraints are binding? Use Excel and include the relevant Solver Answer Report with answers. I need help on putting this in Excel.

Answers

The linear programming model that can be used to determine the number of units of each model in order to maximize the profit is x2 <= 280 (Lady-Sport Frames), 2 x1 + 2.5 x2 <= 1000 (Assembly & Test).

What is linear programming model?

When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

A linear programming problem can be solved by determining the best value.

a)Let x1 be number of EZ-Riders produced.

Let x2 be number of Lady-Sports produced.

The Objective is to maximize the profit contribution:

Max 2,400 x1 + 1,800 x 2

The Constraints are: Engine Manufacturing Time <= 2100 hours

Lady-Sport Frames <= 280 frames

Assembly & Test <= 1000 hours

6 x1 + 3 x2 <= 2100 (Engine Manufacturing)

x2 <= 280 (Lady-Sport Frames)

2 x1 + 2.5 x2 <= 1000 (Assembly & Test)

We also need bounds x1 and x2 => 0.

So the full model is:

Max 2,400 x1 + 1,800 x2

Subject to 6 x1 + 3 x2 <= 2100 (Engine Manufacturing)

x2 <= 280 (Lady-Sport Frames)

2 x1 + 2.5 x2 <= 1000 (Assembly & Test)

x1 => 0, x2 => 0

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square root of 8 plus square root of 1

Answers

Square root of 8 plus square root of 1 equal 3.82842712

What is square root?

Algebraic integers

The square roots of an integer are algebraic integers —more specifically quadratic integers. The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors.

⇒ 3.8 rounded.

⇒ = 3.82842712

Hence, Square root of 8 plus square root of 1 equal 3.82842712

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Part of the proceeds from a garage sale was ​$350 worth of ​$10 and ​$20 bills. If there were more ​$ bills than ​$ ​bills, find the number of each denomination.
Question content area bottom
There were

enter your response here ​$10 bills 20

enter your response here ​$ bills.

Answers

The number of each denomination is: 13 of the $10-dollars bills.

What is the number of the each denomination?

Let x be number of the $20 dollars bills. Then, the number of the $10 dollars bills is (x+2), according to the condition.

The money equation will then be:

20x + 10*(x+2) = 350

Now, solve for x.  

20x + 10x + 20 = 350

30x = 350 -20

30x = 330

x = 330/30

x = 11

So, 11 of the $20 dollars bills and 11 +2 = 13 of the $10-dollars bills.

Full question "Part of the proceeds from a garage sale was ​$350 worth of ​$10 and ​$20 bills. If there were 2 more $10 bills than $20 bills, find the number of each denomination.

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write an exponential model given two points. (7, 12) (8, 25)

Answers

Answer:

y = (12 / (25/12)^7) * (25/12)^x

Step-by-step explanation:

To write an exponential model given two points, we can use the general form of an exponential function:

y = ab^x

where y is the dependent variable, x is the independent variable, b is the base or growth factor, and a is the initial value when x = 0.

Using the two given points, we can form a system of equations:

12 = ab^7 (1)

25 = ab^8 (2)

Dividing equation (2) by equation (1), we get:

25/12 = b^(8-7) = b

So the base of the exponential function is b = 25/12.

To find the initial value a, we can substitute b into either of the original equations. Let's use equation (1):

12 = a(25/12)^7

Simplifying, we get:

a = 12 / (25/12)^7

Therefore, the exponential model that fits the given points is:

y = (12 / (25/12)^7) * (25/12)^x

To write an exponential model given two points, we can use the general form of an exponential function:

y = ab^x

where y is the dependent variable, x is the independent variable, b is the base of the exponential function, and a is the initial value of y when x is 0.

Using the two given points (7, 12) and (8, 25), we can form a system of equations to solve for the values of a and b:

12 = ab^7
25 = ab^8

Dividing the second equation by the first equation, we get:

25/12 = b^1

Simplifying, we get:

b = 25/12

Substituting b into the first equation, we get:

12 = a(25/12)^7

Simplifying, we get:

a = 12/(25/12)^7

Therefore, the exponential model that passes through the points (7, 12) and (8, 25) is:

y = (12/(25/12)^7)(25/12)^x

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. The cards in Ms. Q's deck are shown below.

In how many ways can Yunseol draw four cards from Ms. Q's deck, so that no two cards have the same color?

Answers

There are 840 ways for Yunseol to draw four cards from Ms. Q's deck, such that no two cards have the same color.

How to determine the number of ways

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

Colors = (1, 2, 3, 4, 5, 6, and 7).

To solve this problem, we can use the multiplication principle of counting.

We need to choose one card from each of the four colors, we use the following:

1: One of the 7 cards2: One of the remaining 6 cards3: One of the remaining 5 cards4: One of the remaining 4 cards

To count the total number of ways to draw four cards, we multiply the number of choices at each stage:

Total number of ways = 7 × 6 × 5 × 4 = 840

Hence, there are 840 ways for Yunseol to draw four cards

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A satellite orbits earth at a speed of 12700 feet per second (ft/s). Use the following facts to convert this speed to miles per hour (mph).

1 mile = 5280 ft
1 min = 60 sec
1 hour = 60 min

Answers

The speed of the satellite around the earth in miles per hour is 8659.09 miles per hour.

What is meant by Measurements?

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is important to determine the quantity of any object.

A same quantity can have more than one type of measurement which can be converted to each other.

Given,

Speed of the satellite in feet per second = 12700 feet per second (ft/s)

We have,

5280 feet = 1 mile

1 feet = 1/5280 mile

12700 feet = 12700/ 5280 miles

Also,

60 minute = 1 hour

1 minute = 1/60 hour

60 seconds = 1 minute = 1/60 hour

1 second = 1/3600 hour

12700 feet per second =  12700/ 5280 miles ÷ 1/3600 hour

                                      = 8659.09 miles per hour.

Hence the speed converted is 8659.09 miles per hour.

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6/cm
4 cm
Find the value of x.
X
x = [?]up

Answers

The measurement of x, in the given circle, is 5 cm.

What is a circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is a circle with a tangent of 6 cm and a secant of length 4+x, we need to find the measurement of x,

Using properties of circle,

6² = 4·(4+x)

36/4 = 4+x

9 = 4+x

x = 5

Hence, the measurement of x, in the given circle, is 5 cm.

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I dont know how to solve this, can you please solve it for me?

Answers

Answer:0.047

Step-by-step explanation: This is actually easy  you need to divide using long division and put the numbers of the division that you use to subtract and then you get the answer.

There is a linear relationship between the number of stuffed animals and the number of action figures displayed at the prize booth at a fair.

When 20 stuffed animals are displayed, 15 action figures are also displayed.

When 60 stuffed animals are displayed, 45 action figures are also displayed.

Graph the linear relationship between the number of stuffed animals, x, and the number of action figures, y. Then, use the point tool to indicate whether the relationship is proportional or not.

Answers

Based on the graph, we can see that the relationship between the number of stuffed animals and the number of action figures is proportional since the line passes through the origin (0, 0), which is a characteristic of proportional relationships.

What are proportional relationships?

Mathematical relationships between two variables that have a constant multiple of one another are known as proportional relationships. This implies that when one variable rises or falls by a particular factor, the other variable rises or falls by the same amount as well.

In other words, a straight line on a graph that runs through the origin (0, 0) can be used to illustrate a proportionate connection. This is due to the fact that they are proportional, therefore when one variable is equal to zero, the other variable must likewise be zero.

To graph the linear relationship between the number of stuffed animals, x, and the number of action figures, y, we can use the two given data points: (20, 15) and (60, 45).

First, we can find the slope of the line that passes through these two points using the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (20, 15) and (x2, y2) = (60, 45)

slope = (45 - 15) / (60 - 20) = 30 / 40 = 0.75

Next, we can use the point-slope form of the equation of a line to write the equation of the line that passes through the two points:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) = (20, 15)

y - 15 = 0.75(x - 20)

y - 15 = 0.75x - 15

y = 0.75x

Now we can graph the line by plotting the two given points and drawing a straight line passing through them:

Linear relationship graph

Based on the graph, we can see that the relationship between the number of stuffed animals and the number of action figures is proportional, since the line passes through the origin (0, 0), which is a characteristic of proportional relationships.

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Follow these steps to graph this parabola:
y = x
Plot the y-intercept
2
1. Find/Plot the vertex
2.
3. Find/plot one more point
4. Reflect #2 and #3 over the axis of symmetry
-10-9-8-7 -6 -5 -4 -3 -2
7
10
9
8
7
6
54
3
2
1
0 1 2 3 4 5 6 7 8 9 10
-1
2
4x + 4
-3
-4
-5
-6
-7
-8
-9
X

Answers

Please find attached the graph of the parabola, y = x² - 4·x + 4, created with MS Excel, showing the points;

The vertex, (2, 0)Y-intercept; (0, 4)One more point; (1, 1)What is a parabola?

A parabola is the locus of a point that moves such that its distance from a point (known as the focus) and a line (known as the directrix), are the same.

1. The quadratic function is; y = x² - 4·x + 4

The x-coordinates of the vertex of the quadratic function, f(x) = a·x² + b·x + c, can be found using the formula;

x = -b/(2·a)

The x-coordinates of the graph of the equation, y = x² - 4·x + 4, is the point;

x = -(-4)/(2 × 1) = 2

The y-value of the vertex is therefore;

y = 2² - 4 × 2 + 4 = 0

The coordinates of the vertex is therefore; (2, 0)

2. The y-intercept is the point the graph intersects the y-axis, which is the point the x-value is zero, therefore;

The coordinate of the y-value of the y-intercept is therefore;

y = 0² - 4 × 0 + 4 = 4

The y-intercept is therefore; (0, 4)

3. A point on a function can be plugging a value of the input as follows;

The point at x = 1 is; y = 1² - 4×1 + 4 = 1

Therefore, another point on the graph is; (1, 1)

4. The axis of symmetry is the vertical line passing through the vertex, with an equation which is the x-value of the vertex

The x-value of the vertex is; x = 2, therefore, the axis of symmetry is the line; x = 2

The reflection of a point (x, y) about the vertical y-axis is the point (-x, y)

Therefore, the image of the reflection of the y-intercept, (0, 4) about the line x = 2 will be the point (4, 4)

The reflection of the point (1, 1), about the line x = 2 is the point (3, 1)

The above points can be used to graph the parabola, y = x² - 4·x + 4.

Please find attached the graph of the parabola created with MS Excel.

Learn more about quadratic functions here: https://brainly.com/question/27920694

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A gardener wants to fence a circulr garden of diameter 42m. find the length of the barbed wire he needs to purchase if he makes 4 rounds if the fence

Answers

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Since the diameter of the garden is 42m, the radius is half of that, which is:

r = 42m / 2 = 21m

The circumference of the circular garden is therefore:

C = 2πr = 2π(21m) = 42πm

If the gardener makes 4 rounds of the fence, he will need to purchase 4 times the circumference of the garden in barbed wire. Therefore, the length of barbed wire he needs to purchase is:

4 x 42πm = 168πm

This is approximately equal to 527.79m, if we use the value of π to two decimal places.

Answer:

528 M

Step-by-step explanation:

CIRCUMFERENCE OF GARDEN= 2 pi r

r=42/2 =21

circumference = 2x (22/7) x21

=132 m

To make 4 rounds= 4 x 132 = 528m

Two numbers that multiply to -140 and add to -13

Answers

Answer:

Step-by-step explanation:

The two numbers that multiply to -140 also have to add to -13, so that means that the larger of the two numbers needs to be negative, and the other number positive.

7 x -20 = -140

7 - 20 = -13

And investor invested a total of $2300 in mutual funds. One fund earned a 9% profit while the other earned a 3% profit if the investors total profit was $189, how much was invested it in each mutual fund?

The amount invested in the mutual fund that are 9% was $_

The amount invested in the mutual fund that are in 3% was $_

Answers

Answer:

Amount at 9% is 2000 dollarsAmount at 3% is 300 dollars

===================================================

Work Shown:

x = amount invested at 9%

y = amount invested at 3%

x+y = 2300 invested total, which solves to y = 2300-x

0.09x+0.03y = 189 dollars of total profit

Applying substitution to solve.

0.09x+0.03y = 189

0.09x+0.03(y) = 189

0.09x+0.03(2300-x) = 189

0.09x+69-0.03x = 189

0.06x+69 = 189

0.06x = 189-69

0.06x = 120

x = 120/0.06

x = 2000

y = 2300-x = 2300-2000 = 300

The solution as an ordered pair is (x, y) = (2000, 300)

Therefore, $2000 was invested at 9%, and $300 was invested at 3%.

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