Mrs. Drew wants to build a square sandbox with an area of 400 square feet. What is the total length of wood Mrs. Drew needs to make the sides of the​ sandbox?

Answers

Answer 1

Answer:

  80 ft

Step-by-step explanation:

The area can be used to find the side length. The perimeter is the sum of side lengths.

  A = s² . . . . . the area of a square is the square of its side length

  s = √A . . . . the side length is the square root of the area

  s = √(400 ft²) = 20 ft

The perimeter is the sum of the four equal-length sides of the square, so is ...

  P = 4s

  P = 4(20 ft) = 80 ft

Mrs. Drew needs 80 ft of wood to make the sides of the sandbox.

Answer 2

Final answer:

To build a square sandbox with an area of 400 square feet, each side of the sandbox is 20 feet long, and Mrs. Drew will need a total of 80 feet of wood to construct the sides.

Explanation:

Finding the Total Length of Wood for a Sandbox

The question asks us to determine the total length of wood necessary to build a square sandbox with an area of 400 square feet. To find the length of one side of the sandbox, we take the square root of the area. The square root of 400 square feet is 20 feet, which means each side of the sandbox is 20 feet long. Since the sandbox is square, it has four equal sides.

The total length of wood Mrs. Drew needs for the sandbox is the sum of the lengths of all four sides:
20 feet + 20 feet + 20 feet + 20 feet = 80 feet.

Therefore, Mrs. Drew will require 80 feet of wood to construct the sides of the sandbox.

It's helpful to remember when working with square areas that the perimeter (or total length around the square) is always four times a single side. This is a key concept in geometry and is useful in practical applications such as planning the construction of a sandbox.


Related Questions

how do you find a regression equation

Answers

Answer:

A regression coefficient is the same thing as the slope of the line of the regression equation.

Step-by-step explanation:

The equation for the regression coefficient that you'll find on the AP Statistics test is: B1 = b1 = Σ [ (xi – x)(yi – y) ] / Σ [ (xi – x)2].

Final answer:

To find a regression equation, you plot the data on a scatter plot, draw an approximate line of best fit, calculate its slope and y-intercept, and then write the equation. Alternatively, you can use statistical software or a calculator's regression function to find the most accurate equation.

Explanation:

To find a regression equation, one can follow these steps:

Collect a set of data with two variables; for instance, pinky finger length as the independent variable, x, and height as the dependent variable, y.Plot the data points on a scatter plot to visually assess the relationship.Draw a line that seems to best fit the data points. This is often done by eye, aiming to minimize the distance of all points from the line, leading to the least-squares regression line.Identify two points on the line to calculate the slope (rise over run).Determine the y-intercept by extending the line to where it crosses the y-axis.Combine the slope and y-intercept into the equation of the line, which typically has the form y=mx+b, where m is the slope and b is the y-intercept.Use statistics software or a calculator's regression function to find a more accurate regression equation.

An example regression equation from sample data might look like this: ŷ = 173.51 + 4.83x, where x is the independent variable and ŷ is the predicted value of the dependent variable, y.

It is crucial to remember that regression equations predict outcomes for the variables within the given data set, but they should not be extrapolated beyond the scope of the available data. Variability in real data means that different samples might yield different regression equations, which is why it is important to consider the goodness of fit, such as the correlation coefficient or the coefficient of determination (r2).

Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find out how much fuel he needs for all boats, deshawn first finds the number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?

Answers

Since there are 8 boats (2 yachts + 6 barges) the three partial products would be as follows:
100 * 8
20 * 8
6 * 8
These are from taking the gallons of fuel for each boat that are needed and breaking it into the place values. 
(100*8) + (20* 8) + (6*8) =
800+160+48=
1008 gallons of fuel are needed. 

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How do you do this equation Laura's paper airplane flew 8 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show how far Max's paper airplane flew.

Answers

Answer:

laura's distance = max's distance + 2 3/4 feetmax's distance = 5 feet 5 inches

Step-by-step explanation:

If you consider the English-language meaning of the description of the distances, you can see there might be several ways you could write an equation that says the same thing. Some of them are ...

  laura's distance = max's distance + 2 3/4 feet

  laura's distance - max's distance = 2 3/4 feet

  laura's distance - 2 3/4 feet = max's distance

The first of these equations is shown as an answer above. The last of these equations gives max's distance directly, so is the most useful for finding that value.

  laura's distance - 2 3/4 feet = max's distance

  8 1/6 feet - 2 3/4 feet = max's distance

  5 5/12 feet = max's distance . . . . . . do the arithmetic

_____

Describing addition and subtraction of mixed numbers is beyond the scope of this answer. Many calculators can work with fractions directly, in case you cannot do it by hand.

Max's paper airplane flew 65/12 feet.

To solve this problem,

we need to set up an equation to represent the relationship between Laura's paper airplane and Max's paper airplane. Let's use the variable 'x' to represent the distance Max's paper airplane flew.

We know that Laura's airplane flew 8 1/6 feet and that was 2 3/4 feet farther than Max's airplane.

So the equation is: x + 2 3/4 = 8 1/6. To solve the equation, we need to subtract 2 3/4 from both sides: x = 8 1/6 - 2 3/4.

Now, let's convert the mixed numbers to improper fractions. 8 1/6 = 49/6 and 2 3/4 = 11/4.

So the equation becomes: x = 49/6 - 11/4.

To subtract fractions, we need a common denominator, which in this case is 12. Multiplying the fractions,

we get x = 98/12 - 33/12. Subtracting the numerators, we have x = 65/12.

Therefore, Max's paper airplane flew 65/12 feet.

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The graph displays a proportional relationship. What is the unit rate shown by the graph?​

Answers

Answer:

Step-by-step explanation: Im pretty sure they are asking you for the slope so it would be y = 0.5x

Answer:

0.5

Step-by-step explanation:

The unit rate is the number of units obtained in the "y" variable per unit obtained in the "x" variable. This behavior is observed in proportional relationships. For example: imagine that we know that the price for 5 pencils is $2.5. Since this is a proportional relationship, the unit rate will be the price of 1 single pencil, that is obtained by dividing 2.5 / 5 = 0.5.

In this case we also know that the graph passes through the point (1, 0.5), so the unit rate is given in that point.  :)

Which could be the entire interval over which the function,
f(x), is positive?
(00, 1)
(-2, 1)
• 60,0)
(1.4)

Answers

Answer:

(-2, 1)

Step-by-step explanation:

Hi Juliadayx! How are you?

Well, maybe you already heard about the domain and the range of a function.  

The domain is the set of values that the independent variable can take (usually referred to as the letter "x"), while the range is the set of values that the dependent variable takes, which is called f(x) or function of x.

In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).

I hope I've been helpful!

Regards!

Alex purchased a calling card for $32. He has used t minutes of access time at 15 cents per minute. To write an algebraic expression to represent how many dollars Alex has left on his card, fill in the boxes.

Answers

Answer:

The answer to your question is: T = 32 - 0.15t

Step-by-step explanation:

calling card cost = $32

t = minutes used

cost = 15 c / min

Equation = ?

T = money left on his card

T = 32 - 0.15t

Write the equation of the line. Give your answer in Standard Form​

Answers

Answer:

  5x -2y = -10

Step-by-step explanation:

Slope-intercept form of the equation for a line is ...

  y = mx + b . . . . where m is the slope and b is the y-intercept.

Using the given numbers, the equation is ...

  y = 5/2x + 5

Multiplying by 2 gives ...

  2y = 5x + 10

Subtracting 2y+10 puts the equation into standard form, with positive leading coefficient and mutually prime coefficients.

  5x - 2y = -10

A town uses positive numbers to track incresses in population and negitive numbers to track decresses in population. The population had decressed by 300 residents over the past 5 years. The same numbers of residents left each year. What was the change in towns population each year?

Answers

Answer:

60 people left each year so -60

Step-by-step explanation:

-300 is the total population change over the past 5 years

The population decreased.

Divide 300/5 to find the amount of people who left each year

300/5= 60

60 people left each year.

The change in the towns population is (-60)

Can someone step by step help me answer the ones that aren’t done

Answers

Number 6

Answer:

y = (c - ax)/b

Step-by-step explanation:

ax + by = c

by = c - ax

y = (c - ax)/b

I answered number 5 in your last question.

Step-by-step explanation:

5) C=5(F-32)

9

Multiply both sides by 9

9C=5(F-32)

Divide both sides by 5

9C=F-32

5

Add 32 to both sides

9C+32=F

5

A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?

Answers

ok so. A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?

Answer:

Step-by-step explanation:

248.50 your welcome

For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4

PLEASE HELP ASAP

Answers

Answer:

y>0.375

Step-by-step explanation:

Answer:

For the values of y greater than [tex]\frac{3}{17}[/tex]

Step-by-step explanation:

Suppose 5y-1 greater than the value of the fraction [tex]\frac{3y-1}{4}[/tex]

That is,

[tex]5y - 1 > \frac{3y-1}{4}[/tex]

[tex]4(5y - 1) > 3y - 1[/tex]

[tex]20y - 4 > 3y - 1[/tex]

[tex]20y - 3y > -1 + 4[/tex]

[tex]17y > 3[/tex]

[tex]\implies y>\frac{3}{17}[/tex]    ( a > b ⇒ [tex]\frac{a}{d} > \frac{b}{d}[/tex] where, d > 0 )

Hence, for the values of y greater than [tex]\frac{3}{17}[/tex] the value of the binomial 5y-1 greater than the value of the fraction [tex]\frac{3y-1}{4}[/tex].


How many times greater is 8.4 x 10-^5 than 2.1 x 10^-6?
a.
0.04
b.
0.4

c. 4
d. 40

Answers

Answer:

  40

Step-by-step explanation:

[tex]\dfrac{8.4\cdot 10^{-5}}{2.1\cdot 10^{-6}}=\dfrac{8.4}{2.1}\cdot 10^{-5-(-6)}=4\cdot 10^1=40[/tex]

8.4×10^-5 is 40 times the value of 2.1×10^-6

Find two consecutive odd integers such that 77 more than the lesser is six times the greater.
The lesser consecutive odd integer is _ and the greater consecutive odd integer is _

Answers

Final answer:

To find the consecutive odd integers, we need to let x represent the lesser odd integer and solve the equation x + 77 = 6(x+2). The solution is x = 13, so the lesser odd integer is 13 and the greater odd integer is 15.

Explanation:

Let's assume that the lesser consecutive odd integer is x and the greater consecutive odd integer is x+2.

According to the given information, 77 added to the lesser consecutive odd integer is six times the greater consecutive odd integer:

x + 77 = 6(x+2)

Solve the equation:

Distribute the 6 on the right side: x + 77 = 6x + 12Subtract x from both sides: 77 = 5x + 12Subtract 12 from both sides: 65 = 5xDivide both sides by 5: 13 = x

The lesser consecutive odd integer is 13 and the greater consecutive odd integer is 15.

Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?A. 10 min 48 secB. 14 min 52 secC. 14 min 58 secD. 16 min 6 secE. 16 min 12 sec

Answers

Answer:

E. 16 min 12 sec

Step-by-step explanation:

See it in the pic.

What is the exact distance from the mother fox to her kit

Answers

The exact distance from the mother fox to her kid fox is option (B) √221 is the correct answer.

What is distance between two points?

It is the length of the straight line connecting these points in the coordinate plane. This distance can never be negative, therefore we take the absolute value while finding the distance between two given points. The distance formula is an application of the Pythagorean theorem.

For the given situation,

The mother fox is at (x₁, y₁) = (-7,7)

The kid fox is at (x₂, y₂) = (7,2)

The formula of distance between two points is

[tex]d=\sqrt{(x_{2} -x_{1} )^{2} +{(y_{2}-y_{1})^{2}}[/tex]

⇒ [tex]d=\sqrt{(7-(-7) )^{2} +{(2-7)^{2}}[/tex]

⇒ [tex]d=\sqrt{(7+7)^{2} +{(2-7)^{2}}[/tex]

⇒ [tex]d=\sqrt{(14)^{2} +{(-5)^{2}}[/tex]

⇒ [tex]d=\sqrt{196+25}[/tex]

⇒ [tex]d=\sqrt{221}[/tex]

Hence we can conclude that the exact distance from the mother fox to her kid fox is option (B) √221 is the correct answer.

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Final answer:

The question's subject is ambiguous but appears to be about wildlife biology, focusing on the relationship between mother foxes and their kits or chimpanzee social behavior. The exact distance between a mother fox and her offspring is not provided and would vary in the wild, but close proximity is typical for maternal care.

Explanation:

It seems there might be some confusion in the question as it refers to a 'mother fox' but the given information relates to chimpanzees and red foxes in different contexts. If the question pertains to the actual distance a mother fox might maintain from her kit (assuming 'kit' is used to mean 'offspring'), it is not specified in the provided information. The exact distance would depend on numerous factors including the age of the kit and the environmental circumstances. However, in the natural setting, foxes, which are eutherian mammals, may stay close to their offspring to provide nourishment and protection. In the case of chimpanzees, mothers and offspring maintain close physical proximity especially in the juvenile years, as offspring are dependent on the mother for care and learning social skills.

Comparing Order of Magnitude A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he looked at the same culture sample and estimated that the number of cells had grown to 3.9 × 105. Determine how many times larger the culture sample was compared to a week earlier. (3.9 × 105) (1.3 × 102) Complete the quotient in scientific notation and find the solution in standard notation. × =

Answers

Answer:

3 * 10^3 in scientific notation.

3,000 in standard notation.

Step-by-step explanation:

We divide:

3.9 *10^5 / 1.3 * 10^2

= ( 3.9/1.3) * (10^5 / 10^2)

= 3 * 10(5-2)

= 3 * 10^3.

This  equals 3 * 1,000 = 3000.

The number of  times larger the culture sample was compared to a earlier week is, in scientific notation  3.0 × 10³ and in standard notation =  3000

What is division?

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed. We denote division by '÷' this symbol.

Given that,

biologist estimated the number of cells in a culture sample as 1.3 × 102

One week later, the number of cells had grown to 3.9 × 105

how many times larger the compared to a week earlier(P) = ?

⇒ P = 3.9 × 105/1.3 × 102

⇒ P = 3.0 × 10³

The quotient in scientific notation = 3.0 × 10³

The quotient in standard notation =  3000

Hence, The results are respectively 3.0 × 10³, 3000

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A certain stock exchange designates each stock with a one-, two-, or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?

Answers

Answer:

There are 16276 different stocks which are possible to uniquely designate with these codes

Step-by-step explanation:

The information we have is that

1. There are 26 different letters.

2. The stock can be designated with a one, two or three letter code and the letters may be repeated (We always have 26 options for the first, second and third letter)

3. Order matters (different order constitute a different code), which means we're talking about permutations.

The total codes we can make would be:

[tex]P_{26|1} + P_{26|2}+ P_{26|3}   \\26+650+15600= 16276[/tex]

Consider a metal bar of initial length L and cross-sectional area A. The Young's modulus of the material of the bar is Y. Find the "spring constant" k of such a bar for low values of tensile strain. Express your answer in terms of Y, L, and A.

Answers

Answer:

k = Y*A/L

Step-by-step explanation:

We can apply the Law of Hooke in order to explain the problem.

If we define k = F / ΔL  and the Y = S / δ

Where S is the uniaxial stress: S =  F / A   (i)

and δ is the strain: δ = ΔL / L   (ii)

ΔL is the change in length

we can combine the equations i and ii as follows

Y = (F / A) / (ΔL / L) = (F * L) / (A * ΔL)   (iii)

if k = F / ΔL the equation iii results

Y = k * (L / A)  ⇒   k = Y*(A / L)

Final answer:

The spring constant of a metal bar for low values of tensile strain can be determined using Hooke's Law. It is given by the formula k = (A * Y) / L, where A is the cross-sectional area, Y is the Young's modulus of the material, and L is the initial length of the bar.

Explanation:

The 'spring constant' of a metal bar for low values of tensile strain can be determined using Hooke's Law, which relates the applied force to the resulting elongation. In this case, the elongation is equivalent to the tensile strain.

Start by writing Hooke's Law: F = k * x, where F is the applied force, k is the spring constant, and x is the elongation.For a metal bar, the elongation is given by the formula x = (L * ΔL) / L, where ΔL is the change in length. Using Young's modulus (Y), the change in length can be expressed as ΔL = (F * L) / (A * Y).Substituting the value of ΔL in the elongation formula, we get x = (L * (F * L) / (A * Y)) / L.Simplifying the equation gives x = (F * L) / (A * Y).Substituting the formula for elongation into Hooke's Law, we get F = (k * L * F) / (A * Y).Dividing both sides by F gives 1 = (k * L) / (A * Y).Multiplying both sides by (A * Y) and rearranging the equation, we find that the spring constant (k) is given by k = (A * Y) / L.

Therefore, the spring constant of a metal bar for low values of tensile strain is

k = (A * Y) / L

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which of the following functions is graphed below?

Answers

Answer:

A . You may have noticed that the difference between all the answers is that at the end of the problems there are the greater then and less then symbols. You may have noticed as well that in the graph, the points shown have an open point, or a filled in point. The filled in points are only applied if the symbol is ≤ or ≥. The open points are used when the symbol is the less then or greater then symbol without the line under it. Hope this helps!

Find the coordinates of point G

Answers

Answer:

  G = (2, 9)

Step-by-step explanation:

The midpoint is the average of the endpoints, so we have ...

  M = (G+H)/2

Solving for G gives ...

  G = 2M -H = 2(5, 9) -(8, 9) = (10-8, 18-9)

  G = (2, 9)

A triangle with coordinates A(1, 1), B(4, 2), C(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle

Answers

Answer:

[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]

Step-by-step explanation:

Given:

[tex]A = (1,1)\\B=(4,2)\\C=(3,5)[/tex]

A translation upward or downward affects the [tex]y[/tex] value of a coordinate while a translation left or right affects the [tex]x[/tex] value of a coordinate.

We are translating the whole triangle down three units, so we subtract all the[tex]y[/tex] values by 3.

We are also translating the whole triangle to left left five units, so we will subtract all the [tex]x[/tex] values by 5.

[tex]A = (1-5,1-3)\\B=(4-5,2-3)\\C=(3-5,5-3)[/tex]

New Coordinates:

[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]

Answer:

I've actually know the answer, its easy it's simple it's completely easy like it's so easy like its extremely easy. Okay the answer to this written question will be 78

Step-by-step xplanation:

because

A professor computing the sample average exam score of 20 students and using it to estimate the average exam score for the 1,500 students taking the exam is an example of inferential statistics.
True / False.

Answers

Answer:

True, It is a example of inferential statistics.

Step-by-step explanation:

There are two types of statistics which are:

Inferential StatisticsDescriptive Statistics

In Inferential Statistics we describe the valuable characteristic of the population using a sample of data.

Here, Since the professor is estimating the average score of 1,500 students using an average score of 20 students. So it is Inferential Statistics.

A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive ?
A. 0.1654
B. 0.1982
C. 0.1827
D. 0.1346

Answers

Answer:

A. 0.1654

Step-by-step explanation:

Let's call :

D: The event in which a person has a disease

ND: The event in which a person doesn't have a disease

TD: The event in which the test result is positive

Therefore, the probability that a person has the disease given that his test result is positive is calculated as:

P(D/TD) =P(D∩TD)/P(TD)

Where P(D∩TD) is the probability that a person has a disease and the test result is positive and P(TD) is the probability that the test result is positive.

So, The probability P(D∩TD) is calculated as a multiplication of:

P(D∩TD)=0.1% * 99% = 0.099%

Because 0.1% is the percentage of population that actually has the disease and 99% is the probability that the test detect the disease when it is present.

Then, for calculate the probability P(TD) we need to sum the probability of the following cases:

The probability that a person has a disease and the test result is positive, that is P(D∩TD) and it is equal to 0.099%The probability that a person doesn't have a disease and the test result is positive, that is P(ND∩TD) and it is calculated as:

P(ND∩TD)= (100%-0.1%)*0.5%=0.4995%

Because (100%-0.1%) is the percentage of population that doesn't have the disease and 0.5% is the probability that the test imply that a person has the disease when it is not present.

So, P(TD) is calculated as:

P(TD) = P(D∩TD) + P(ND∩TD)

P(TD) = 0.099% + 0.4995%

P(TD) = 0.5985%

Finally, P(D/TD) is:

[tex]P(D/TD) =\frac{0.099%}{0.5985%}=0.1654[/tex]

Anna is 26 ft. high on a rock-climbing wall. She descends to the 15-foot mark, rests, and then climbs down until she reaches her friend, who is 8 feet from the ground. How many feet has Anna descended?

Answers

Answer:

She has descended a total of 18 feet from the top to her friend.

Step-by-step explanation:

Anna is 26 ft. high on a rock-climbing wall.

She descends to the 15-foot mark,means she come to a height of [tex]26-15=11[/tex] feet and rests.

Then climbs down until she reaches her friend, who is 8 feet from the ground.

So, she climbs down [tex]15-8=7[/tex] feet more.

Hence, in total Anna has descended [tex]11+7=18[/tex] feet

The answer : She has descended a total of 18 feet from the top to her friend.

I don't know how to solve this:
In a pair of complementary angles, one angle measures 18* less than three times the other angle. Find the measure of each angle.

Answers

Answer:

18, 72

Step-by-step explanation:

Two angles are complementary if they sum up to 90°. Call them [tex] x, (90-x) [/tex]. From the second part,

[tex]

3 x = 90-x+18 \\

4x = 72 \\

x= 18 [/tex]

The second angle is [tex] 90-18 = 72 [/tex]


Find the midpoint of a line segment

Answers

Get your line. Then measure in to the middle of your segment. Then label it as the midpoint. Or what ever your x is

what is the mean?

$5.25, $3.50, $4.50, $4.00 , $3.50











Answers

Answer:

The answer to your question is: $4.15

Step-by-step explanation:

To find the mean we just have to sum all the values and divide them by the number of data.

mean = (5.25 + 3.50 + 4.50 + 4.00 + 3.50) / 5

mean = 20.75/5

mean = $ 4.15

Rope: 15 feet, cut 4 sections how long is each section of rope?

Answers

Final answer:

To calculate the length of each section when dividing a rope into 4 parts, the total length of the rope is divided by 4. For a 15-foot rope, each section is 3.75 feet long. If a 30-foot rope is used, each section would be 7.5 feet long.

Explanation:

To find out the length of each section of rope when a 15-foot rope is cut into 4 equal sections, we simply divide the total length of the rope by the number of sections.

Therefore, each section would be: 15 feet ÷ 4 = 3.75 feet long.

Now, if twice the length of this nylon rope is used, that means we would have a 30-foot rope instead of a 15-foot rope. Again, if we cut this 30-foot rope into 4 equal sections, each section would then be: 30 feet ÷ 4 = 7.5 feet long.

Madison has a goal of saving more than $1,000 she has $300 saved now and each month she adds $40 to that amount the inequality 40m + 300 > 1,000 can be solved to find the number of months, m, it will take Madison to reach her goal which statement about the number of months it will take Madison to reach her goal is true

Answers

Answer:

Step-by-step explanation:

[tex]40m + 300 > 1000[/tex]

[tex]40m > 700[/tex]

[tex]m > 17.5[/tex]

Rounding up to the nearest whole number, it will take Madison at least 18 months to reach her goal.

She will need 18 months to reach her goal.

What is an inequality?

The word inequality means a mathematical expression in which the sides are not equal to each other. Basically, an inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Given, inequality is

40m +300 > 1000

40m > 1000-300

40m > 700

m > 700/40

m > 17.5

Hence, she will take more than 17 months and on 18th month she will achieve her goal.

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At arraignment, Jackson accepts a plea deal that will shorten his sentence in return for naming one of his marijuana dealer. About what percentage of cases every year end in plea bargains instead of a criminal trial?

a) 60 percent
b) 80 percent
c) 70 percent
d) 90 percent

Answers

Answer:

d) 90 percent

Step-by-step explanation:

A plea bargain is an arrangement made between the prosecutor and the defendant.

Here the defendant pleads guilty to a lesser charge in exchange for a more lenient sentence like here Jackson says he will name one of the dealer, in return for a lesser sentence.

This arrangement takes place in almost 90 percent cases.

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