Raul estimated that a fish tank contained 20
gallons of water. He later found that the fish
tank had a 40-gallon capacity. Calculate his
error as a percent.

Answers

Answer 1

Answer: 50%

Step-by-step explanation:

Answer 2

The error percent of the fish tank is 50%

Error percent:

Error percent means the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. It is also known as the percent error is the relative error multiplied by 100.

The formula to calculate the error percent is

δ = |vA - vE|/vA x 100

δ  = percent error

vA = actual value observed

vE = expected value

Given,

Raul estimated that a fish tank contained 20 gallons of water. He later  found that the fish tank had a 40-gallon capacity.

Here we need to calculate the error percent.

According to the error percent formula,

In this question

The estimated value = 20 gallons

Actual value = 40 gallons.

Now, we have to apply the values on the formula, then we get,

P% = (40 - 20)/40 x 100

P% = 20/40  x 100

P% = 1/2 x 100

P% = 0.5 x 100

P% = 50.

Therefore, the error percent is 50%.

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Related Questions

Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.

Answers

The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.

Therefore, the p-value for study b exists 0.080.

What is meant by p-value?

The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.

In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)

Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -

[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]

simplifying the above equation, we get

[tex]$P \frac{\alpha}{2}=0.040$[/tex]

Substituting the given value in above equation, we get -

Probability values for a two tailed test

= 0.040 + 0.040

= 0.080

Therefore, the p-value for study b exists 0.080.

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Use matrices to write the equation of the function in the form y = Ax? + Br + C that contains the points (0, 1), (-2, 15), (3,10).

Answers

The most appropriate choice for matrices will be given by-

Required Equation

[tex]y = 2x^2 - 3x + 1[/tex]

What are matrices?

If the numbers are arranged in the form of rows and columns, then the arrangement is called matrix.

Here,

The equation is [tex]y =Ax^2 + Bx + C[/tex]

The function contains the points (0, 1), (-2, 15), (3,10).

On putting these coordinates in the equation,

C = 1

[tex]15 = A(-2)^2 + B(-2) + 1\\4A - 2B = 15-1\\2(2A - B ) =14\\2A - B = \frac{14}{2}\\2A -B = 7[/tex]................ (1)

[tex]10 = A(3)^2 + B(3) + 1\\9A + 3B = 10-1\\3(3A + B ) =9\\3A + B =\frac{9}{3}\\3A + B = 3[/tex].................... (2)

Here matrix method will be used

Let

[tex]P = \begin{bmatrix} 2 & -1\\ 3 & 1 \end{bmatrix}[/tex], [tex]Q = \begin{bmatrix} x \\ y\end{bmatrix}[/tex], [tex]R = \begin{bmatrix} 7\\3 \end{bmatrix}[/tex]

PQ = R

[tex]Q = P^{-1}R[/tex]

Adjoint P =

[tex]\begin{bmatrix} 1 & -3 \\ 1 & 2 \end{bmatrix}^T\\\\\begin{bmatrix} 1 & 1 \\ -3 & 2 \end{bmatrix}[/tex]

Det P = [tex]\begin{vmatrix} 2 & -1\\3&1\end{vmatrix}[/tex]

          = [tex]2\times 1 - 3 \times (-1)\\5[/tex]

[tex]P^{-1} = \frac{1}{5}\begin{bmatrix} 1 & 1\\-3 &2\end{bmatrix}[/tex]

[tex]Q = \frac{1}{5}\begin{bmatrix} 1 & 1\\-3 &2\end{bmatrix}\begin{bmatrix}7\\3\end{bmatrix}[/tex]

[tex]Q = \frac{1}{5}\begin{bmatrix} 10\\-15\end{bmatrix}\\Q= \begin{bmatrix} 2\\-3\end{bmatrix}[/tex]

A = 2, B = -3

Required Equation

[tex]y = 2x^2 - 3x + 1[/tex]

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Complete Question

Use matrices to write the equation of the function in the form [tex]y = Ax^2 + Bx + C[/tex]that contains the points (0, 1), (-2, 15), (3,10).

₁ d 4. Ca are not to scale): 3,4 cm 37 mm 3,2 cm 4,3 cm b) 0.3. Calculate the perimeter of the polygons in centimeters​

Answers

The Perimeter of Polygon Calculator is a free online tool that displays the perimeter of the regular polygon when the number of sides and the side length ...

Write an equation of a line that is parallel to the
given line. Then, write one that is perpendicular.
x = -4

Answers

Answer:

X=ℝ, Y=ℝ

Step-by-step explanation:

Parallel means they have the same slope so it can be anything on the x-axis, perpendicular meaning opposite slope which is y=.

whats the answer? one angle of a triangle mesuares 98°. the other two angles are congruent. enter and solve an equation to find the mesuare x of the congruent angles.

Answers

Congruent angles simply means angles that are equal. A triangle has three angles . Since one of the angle is given as 98 degree, the other 2 angles which are congruents are therefore equal. The total angle of a triangle is equals to 180 degree. Therefore,

[tex]\begin{gathered} x+x+98=180 \\ 2x+98=180 \\ 2x=180-98 \\ 2x=82 \\ x=\frac{82}{2} \\ x=41 \end{gathered}[/tex]

x = 41 degree

PLSS HELP I NEED ASAP

Answers

Answer:

m = -5

n = -2

Step-by-step explanation:

5m + 6n = -37

10m + 4n = -58 multiply first equation by -2

-2 × 5m + 6n = -37

-10m + (-12n) = 74 now add two equations up

10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms

-8n = 16 divide both sides by -8

n = -2

to find the value of m, replace n with -2 in the first equation

5m + 6*(-2) = -37

5m - 12 = -37 add 12 to both sides

5m = -25 divide both sides by 5

m = -5

I dont know pls help me

Answers

In Close Encounters of a Bear Kind, the statement that represents the author's primary attitude towards John's work is that C. John's work is dangerous.

How to illustrate the information?

According to the author, he stated that people don't usually realize that bears

can be very dangerous.

He further stated that they will reap people apart of they e the chance. The narrator gave an example about how he walked out at night and had to run back home for his dear life. This was why he stated that the job of John whom was a photographer was a dangerous one.

In conclusion, the correct option is C.

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WRITE A SIMPLIFIED EXPRESSION FOR THE PERIMETER OF THE TRIANGLE.

Answers

The simplified expression of the perimeter of the triangle is 3.75x - 7.

How to find the perimeter of a triangle?

A triangle is a a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The perimeter of a triangle is the sum of the whole three sides.

Therefore, the simplified expression that represents the perimeter of the triangle is as follows:

Hence, the three sides of the triangle are as follows;

1.5x - 31.5x - 30.75x - 1

Hence,

perimeter of the triangle = 1.5x - 3 + 1.5x - 3 + 0.75x - 1

perimeter of the triangle = 1.5x + 1.5x + 0.75x - 3 - 3 - 1

perimeter of the triangle = 3.0x + 0.75x - 7

perimeter of the triangle = 3.75x - 7

Therefore, the simplified expression is 3.75x - 7

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Find the reminder when 2 to the 100th power is divided by 5 explain your work

Answers

The reminder of 2 to the 100th power divided by 5 is 1

What is the reminder when 2 raised to the power of 100 is divided by 5?

2 to the 100th power is:

[tex]2^{100}[/tex]  = 1,267,650,600,228,229,401,496,703,205,376

Then dividing 2 to the 100th power by 5:

1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075  (without considering the decimal value)

This tells us how many times 5 can divide 2 to the 100th power.

Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):

253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375

Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:

1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1

Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is  1.

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20) g(a) = a² - 2
h(a) = -3a
Find g(a) + h(a)

Answers

The value of g(a) + h(a) is a²-3a-2 or (a-2)(a-1) using addition of functions.

What is the Function?

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where x belongs to X  and y belongs to Y, with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y

Adding two functions-

g(a) = a²- 2

h(a) = -3a

Let h(a) be g(a) + h(a)

So h(a) = a² - 2 - 3a.

We can factorize the function into (a-2)(a-1).

So we get h(a) = (a-2)(a-1).

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ASAP PLEASEEE HELPPP PLEASEEEE

1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?

A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units

2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.

A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.

3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?

A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.

Answers

1) A translation of 3 units down, option D.

2) The vertex moves 3 units down.

3) The new range is y ≥ -3, correct option is C.

Which transformation is applied?

For a function f(x) a vertical shift of N units is written as:

g(x) = f(x) + N

In this case, we have:

f(x) = |x|

h(x) = |x| - 3

Then h(x) = f(x) - 3

This is a shift of 3 units down, the correct option is D.

How is the vertex affected?

The vertex is translated 3 units down, like the whole graph of the function.

How is the range affected?

The vertex defines the minimum of the range, so if the vertex goes 3 units down, then the range also does, the new range will be:

y ≥ -3.

So the correct option is C.

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When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?

A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon

Answers

A because it’s going the opposite way from the balloon

When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon

What is force?A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of the forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of stress that, if unbalanced, can cause the body to accelerate. Pressure is the distribution of several small forces applied over an area of a body. Stress typically results in the flow of fluids or the deformation of solid materials.

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a finite sequence of three-digit integers has the property that the tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term. for example, such a sequence might begin with the terms 247, 475, and 756 and end with the term 824. let be the sum of all the terms in the sequence. what is the largest prime factor that always divides ?

Answers

The largest prime factor that always divides the sum of the terms in the sequence is 37.

The sequence is finite and consists of three-digit integers.

The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.

From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.

Let "x" be the sum of the digits at unit place in all the terms.

The sum of all the terms is "S".

S = 111*x

S = 3*37*x

We can clearly see that the sum "S" is divisible by 37.

Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.

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Estimate what fraction of the 900-mile trip the car has traveled. Write your answer in simplest form.

Answers

Based on the distance of the entire trip, the fraction of the trip that the car has travelled is 514 ²/ ₇.

How far has the car gone?

The diagram is divided into 7 parts which means that each part can be said to be:

= 1/7 of the journey

The car is in the 4th part so that means that the fraction of the trip that has been traveled is:

= 4 / 7

Given the total miles of the trip, this would be:

= 4/7 x 900

= 514.29

= 514 + 29 / 100

= 514 ²/ ₇

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Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450450450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.
Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.





pls help

Answers

The inequality to determine the number of packages Renna could remove from the elevator to meet the mass requirement is 620 - 37.4g = 450.

What is an inequality?

An inequality is simply used to show the relationship between the expressions that are not equal.

The mass limit is given as 450 grams. Renna has a package that has a weight of 620g.

Each package has 37.4g.

Let the number of packages to remove be p.

The expression will be:

= 620 - (37.4 × p) = 450

620 - 37.4g = 450.

This illustrates the concept of inequality.

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A rectangles width (W) is 5 inches more than a third the length (L). If the perimeter is 42 inches what are the dimensions of the rectangle ?

Answers

The length and width of the rectangle are 5.5 inches and 10.5 inches.

What do we mean by rectangles?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.It can also be explained in terms of a parallelogram with a right angle or an equiangular quadrilateral—a quadrilateral whose angles are all equal.A square is an asymmetrical shape with four sides of equal length.

So, the dimensions of the rectangle:

Let the length of the rectangle be 'x' and the width be 'x + 5'.The perimeter is 42 inches.Perimeter formula: 2(l + b)

Substitute the values in the formula as follows:

P = 2(l + b)42 = 2(x + x + 5)42 = 2(2x + 5)42 = 4x + 204x = 42 - 204x = 22x = 22/4x = 5.5 inches (Length)x + 5 = 5.5 + 5 = 10.5 inches (Width )

Therefore, the length and width of the rectangle are 5.5 inches and 10.5 inches.

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the interest rate on a five-year certificate of deposit (cd) for banks in south florida in 2018 was normally distributed with a mean of 2.28 percent and a standard deviation of 0.37 percent. if a bank has an interest rate at the 45th percentile, what is the interest rate at this bank?

Answers

The interest rate at the bank = 2.324 %

Let X be the random variable representing the interest rate on a five-year certificate of deposit (cd) for banks in South Florida in 2018.

Then X follows the Normal Distribution with,

Mean, μ = 2.28 %  and,

Standard Deviation, σ = 0.37 %

We need to find the X at the 45th percentile.

45th percentile implies z-value = 0.45

The z-score at 45th percentile or 0.45 probability = -0.12 [From the z-tables]

We have, z = (x-μ)/σ

⇒ zσ = x-μ

⇒ x = zσ+μ

⇒ x = (0.12 x 0.37) + 2.28

      = 2.324

Hence the interest rate at the bank = 2.324 %

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Formula to work out the surface area of half a cylinder

Answers

Formula to work out the Total surface area of half-cylinder = [tex]\pi rh + \pi r^{2} + 2rh[/tex]

To find:

Formula to work out the surface area of half a cylinder

Solution:

The surface area of ​​a semi-cylinder can be calculated by adding half the curved area of ​​the cylinder to the area of ​​the two semi-circles and the area of ​​the rectangular section below. The formula for the surface area of ​​a semi-cylinder is given by: Total surface area of ​​

Total surface area of a half-cylinder = (1/2) × curved area of ​​cylinder + 2 × area of ​​semi-circle + area of ​​base of cylinder.

total surface area of a half-cylinder = [tex]\pi rh+\pi r^{2} +2rh[/tex]

where r = radius of cylinder

[tex]\pi[/tex] = 3.14 or 22.7 cm

h = height of cylinder

(Or)  We can find Total surface area of half cylinder as, Total surface area of half cylinder ÷ 2

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Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.What could Shane do to make his calculation more accurate? A. Use sin(4.5°) in his calculator instead of 0.08. B. Remeasure the angle with a different tool. C. Use the Pythagorean theorem to find the length of the ramp. D. Use a different trigonometric function to find the length of the ramp.

Answers

Statement Problem: Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.

First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.

What could Shane do to make his calculation more accurate?

Solution:

The length of the ramp, r, in feet is expressed using the sine ratio;

[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 4.5^o=\frac{1.5}{r} \\ r=(\frac{1.5}{\sin 4.5})ft \\ \end{gathered}[/tex]

Hence, Shane's calculation would be more accurate if he uses sin (4.5 degrees) in his calculator instead of 0.08

CORRECT OPTION: A

For the following equation, complete the given ordered pairs, and use the results to graph the solution set for the equation.

Answers

Given:

[tex]y=-\frac{3}{4}x+1[/tex]

Aim:

We need to graph the given function.

Explanation:

Replace x =-4 in the given equation.

[tex]y=-\frac{3}{4}(-4)+1[/tex]

[tex]y=-3(-1)+1[/tex][tex]y=3+1[/tex]

[tex]y=4[/tex]

We get the point (-4, 4).

Replace x = 0 in the given equation.

[tex]y=-\frac{3}{4}(0)+1[/tex][tex]y=1[/tex]

We get the point (0,1).

Replace x =4 in the equation.

[tex]y=-\frac{3}{4}(4)+1[/tex]

[tex]y=-3+1[/tex][tex]y=-2[/tex]

We get the point ( 4, -2).

Mark the points (-4, 4), (0,1), and ( 4, -2) on the graph and join them by ray.

Final answer:

[tex](-4,4),\text{ }(0,1),\text{ }(4,\text{ -2}).[/tex]

The graph of the given eqaution:

Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

(5, 20)

Step-by-step explanation:

(5, 20) is the only ordered pair which falls on the line

Please solve the following. 12 divided by 3 . 5 - 4 to the power of 2

Answers

Answer:

44

:)

Step-by-step explanation:

I will give 100 points!!

New Orleans is 2 feet about sea level, salton city has an elevation that is lower then New Orleans. What is a possible elevation in feet of salton city.

(Please give explanation!!)

Answers

Answer:

Salton City could have an elevation less than -2 or greater than 2 (depends on what u meant.

Step-by-step explanation:

Usually when u talk abt elevation, when it is lower than sea level, you write it with a negative sign. If you meant that new Orleans is 2 feet below sea level, the Salton City elevation could be anything less than -2. If you meant 2 feet above sea level, the New Orleans elevation could be anything above 2.

HOPE THIS HELPS!
CAN U PLSSSSSS HELP ME WITH THIS PROBLEM????

5. How many ways are there to distribute 10 indistinguishable candies among 4 different

children? Children may end up with no candies.

this is the question

Answers

Using pythagorean theorem:

[tex]\begin{gathered} c^2=a^2+b^2 \\ a=\sqrt[]{c^2-b^2} \\ a=\sqrt[]{25^2-17^2} \\ a=\sqrt[]{336} \\ a=4\sqrt[]{21}\approx18.3 \end{gathered}[/tex]

A data set has these values: 13, 15, 15, 17, 17, 17, 17, 19, 19, 21. A histogram
of the distribution is shown.
Frequency
4
3
2
0
12 14 16 18 20 22
Which statement does not describe the data set?
A. It has a median of 17.
OB. It has a mode of 17.
OC. It is symmetric.
D. It has a range of 22.

Answers

The correct option is option D) it has range of 22

What is the range of a dataset?

It the difference between the minimum and maximum value of the dataset.

We are given a dataset with a histogram and we are asked to find out which of the given options does not describe the data

We find the answer by eliminating the correct option

Our given dataset contains 10 points

Hence the median will be the average of 5th and 6th element

Here the 5th and 6th elements are 17

Hence the median of the dataset is 17

Similarly 17 is repeated 4 times in the dataset. i.e highest number of times

Hence 17 is the mode of the dataset

If you look clearly at the histogram from median it is symmetrical that is left side equal to the right side

But if you look at the range the minimum value is 13 and maximum value is 21

Hence the range of the function is 21-13=8

And not 22

Hence the correct option is option D)

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1/2 n + 3/4 n = 1/2

Solve for n =

Answers

Answer:

n=2/5

Step-by-step explanation:

Please look at the image below! :D

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] n + [tex]\frac{3}{4}[/tex] n = [tex]\frac{1}{2}[/tex]            [tex]\frac{1}{2}[/tex] means the same as [tex]\frac{2}{4}[/tex]

[tex]\frac{2}{4}[/tex] n + [tex]\frac{3}{4}[/tex] n = [tex]\frac{1}{2}[/tex]

[tex]\frac{5}{4}[/tex] n = [tex]\frac{1}{2}[/tex]  multiply each side by [tex]\frac{4}{5}[/tex]

[tex](\frac{4}{5})[/tex][tex]\frac{5}{4}[/tex] n = [tex](\frac{4}{5})[/tex][tex]\frac{1}{2}[/tex]

n = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Sr-85 used on bone scans it has a half life of 64.9 days fine the remaining amount after 100 days

Answers

The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.

How can the  remaining amount of the substance be calculted?

To calculate the amount that remains  after 100 days, this formular can be used

amount remaining = [tex]a (0.50)^{\frac{t}{h} }[/tex]

where t is the time that was required for the process to take place, where t is 100 days.

h is the halftime, which is been given as 64.9 days

where a is given as the initial amount that is present which is 8.

Then the values can be substituted to have

[tex]=a (0.50)^{\frac{100}{64.9} }[/tex]

= 2.749

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what is the rule for this pattern?
17, 20, 19, 22, 21

Answers

Answer:

+3, -1

Step-by-step explanation:

17 + 3 = 20

20 - 1 = 19

19 + 3 = 22

22 - 1 = 21

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math pease help me i need it now asap

Answers

1. The mathematical expression for the length is C. 2x + 5.

2. The quadratic equation is A. 2x² + 5x - 18 = 0.

3. The width of the tarpaulin is A. 2 ft.

4. The length of the tarpaulin is D. 9 ft.

5. The perimeter of the tarpaulin is C. 22 feet.

How to calculate the value?

From the information, the following can be deduced:

Width = x

Length = (2 × x) + 5 = 2x + 5

Area = 18 ft²

The equation will be:

Length × Width =Area

(2x + 5)x = 18

2x² + 5x = 18

2x² + 5x - 18 = 0

2x² - 4x + 9x - 18 = 0

2x(x - 2) + 9(x - 2)

Therefore, x - 2 = 0

x = 0 + 2 = 2

Width = 2

Length = 2x + 5 = 2(2) + 5 = 9ft

Perimeter = 2( Length + Width)

= 2(2 + 9)

= 22 feet.

This illustrates the concept of addition to calculate the perimeter.

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A Ford F-150 truck is considered a half-ton truck because that is how much it can haul. How many pounds can the truck haul?

Answers

The truck can haul 1102 pounds.

According to the question,

We have the following information:

A Ford F-150 truck is considered a half-ton truck because that is how much it can haul.

(We will not directly convert ton into pounds. We will follow the following steps.)

Now, we know that 1 ton is equal to 1000 kilograms.

So, half ton makes 500 kg.

Now, to convert this into pounds, we will multiply 500 kg by 2.205 because we know that 1 kg is equal to 2.205 pounds.

1 kg = 2.205 pounds

500 kg = (500*2.205) pounds

500 kg = 1102.5 pounds

Hence, the truck can haul 1102.5 pounds.

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