5-55.
Additional Challenge: At the beginning of 1990, oil prices were $20 a barrel. Some oil investors predicted that the price
of oil would increase by $2.25 a barrel per year.
In the beginning of 2005, the price of oil was $30 a barrel. With increasing demand for oll around the world, oil investors in
2005 predicted that the price of oil would increase by $5.00 a barrel each year.
DILOIL
a. Let a represent the number of years since 2005. Write an equation that predicts the price of oil, y, using the information available in 2005.
b. Investors in 1990 did not have the benefit of the 2005 information. Write an equation that represents the prediction made in 1990, using the same variables as in
part (a). Remember that a represents the number of years since 2005.
c. Use the equations you wrote in parts (a) and (b) to determine when the cost of a barrel of oil would be the same for both price predictions.
d. In the spring of 2011, a barrel of oil was selling for about $112. Which prediction was closer? Was it a pretty good prediction?

Answers

Answer 1

a) The linear function for the 2005 estimate is given as follows: y = 30 + 5x.

b) The linear function for the 1990 estimate is given as follows: y = 53.75 + 2.25x.

c) They would be predicted to have the same cost in the year of 2013.

d) The 1990 prediction was closer, however it still had a large residual, hence neither was good enough.

How to define the linear functions?

The linear functions are defined in the slope-intercept format, given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change for the price.b is the y-intercept, representing the initial cost in the reference year.

Taking 2005 as the estimate, the function is given as follows:

y = 30 + 5x.

Taking 1990 as the estimate, the equation would be of:

y = 20 + 2.25x.

The estimate for 2005 would be of:

y = 20 + 2.25(15) = 53.75.

Hence the equation taking 2005 as the estimate would be of:

y = 53.75 + 2.25x.

The costs would be the same when:

30 + 5x = 53.75 + 2.25x.

2.75x = 23.75

x = 23.75/2.75

x = 8.63 -> + 2005 -> year of 2013.

The estimates for 2011(6 years after 2005) are given as follows:

y = 30 + 5x = 30 + 5(6) = $60.y = 53.75 + 2.25(6) = $67.25. (better estimate but not good enough).

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Related Questions

El coche de juan viaja 20 m/s y el coche de pedro recorre 150 metros en 5 segundos. Si ambos tienen rapidez constante ¿ cuantas veces es mas rapido el coche de pedro que el coche de juan?

Answers

Therefore , the Pedro's car speed is 2 times the Juan car speed.

Define the speed.

Speed is a measure of how fast something or an individual is moving. It is possible to determine an object's average speed if you are aware of how far it has come and how the time it took to get there. Speed is determined by the formula: speed = distance * time.

Here,

Juan car travels 15 m/s

Where as  Pedro's car travels 150 meters in 5 seconds.

Thus,

Pedro car speed is

=> 150/5

=>30 m/s

thus , pedro car speed is 30 m/s

Therefore , the pedro car speed is 2 times the Juan car speed.

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Tinas chihuahua had 6 puppies.she can sell each one for 150 how much koney would she make

Answers

Answer: $900

Step-by-step explanation:

1 puppy cost- $150

150×6 puppies= $900 dollars

Answer:

She would make 900

Step-by-step explanation:

You can split the multiplication for example, I split the hundreds and tens. First you multiply 6 to 100. We know that 6×1=6 so we use that by taking out the two zeros in the beginning and adding them back after multiplying by 1. It would then become 6×100 ~> 6×1(⁰⁰) ~> 6 then add back the zeros which would then become 600! Now we multiply 6 to 50. We use the same method again. 6×5(⁰) ~> 30(⁰) ~> 300. Now we add those two products together. 600+300=900

1/1-sinx+1/1+sinx en sade hali

Answers

Answer:Adım adım açıklama: cevap ekte kolay gelsin.

Step-by-step explanation:

Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

Answers

If suppose all firms at industry are well merged into a single, then the Herfindahl index must become 10,000. Option (c) is correct.

A merger among organizations generating exclusive items or offerings for one particular completed product. A vertical merger takes place whilst or greater firms, working at exclusive ranges inside an industry's deliver chain, merge operations. Historically, mergers and acquisitions generally tend to end result in process losses.

Most of that is as a consequence of redundant operations and efforts to enhance efficiency. The threatened jobs encompass the goal company's CEO and different senior management, who regularly are provided a severance bundle and allow go."). Some not unusualplace synonyms of merge are amalgamate, blend, coalesce, commingle, fuse, mingle, and mix. While these kinds of phrases mean "to mix right into a greater or much less uniform whole," merge indicates a combining wherein one or greater factors are misplaced withinside the whole.

If all firms were merged at HHI, then it would be:

1. add all share market percent

2. take square of step 1

=(18+ 17+ 17+ 17+ 16+ 15= 100)

=100*100

= 10000

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Correct Question:

Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

complete the table to make sense of the rate. Us the table to help you answer the main question. Kim was able to make 10 snowflakes in 2/5 of an hour. How many snowflakes can she make in 1 hour? How many in 6 hours? Show work including graphing

Answers

The amount of snowflakes that she can make for each time is given as follows:

1 hour: 25 snowflakes.6 hours: 150 snowflakes.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with an intercept of zero, and is defined as follows:

y = kx.

In which the variables are given as follows:

y is the output variable.x is the input variable.k is the constant of proportionality.

In the context of this problem, the input and the output variables are given as follows:

Input variable: Time in hours.Output variable: Amount of snowflakes.

Kim was able to make 10 snowflakes in 2/5 of an hour, hence the constant is of:

k = 10/(2/5) = 10 x 5/2 = 25.

Thus the equation is of:

y = 25x.

Then the amounts are given as follows:

1 hour: 25 snowflakes as 25 x 1 = 25.6 hours: 150 snowflakes, as 25 x 6 = 150.

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How to graph:
y= 2x - 5​

Answers

Answer:

  see attached

Step-by-step explanation:

You want to graph y = 2x -5.

Graph

Often, the easiest way to graph a linear equation in slope-intercept form is to graph the y-intercept point, then use the slope to identify one or more additional points on the line. The graph is the line through the plotted points.

Slope-intercept form

The slope-intercept form of the equation of a line is ...

  y = mx +b

where m is the slope, and b is the y-intercept.

The y-intercept is the point on the y-axis where the line crosses it. The coordinates there are (0, b).

Here, we have y = 2x -5, so m=2 and b=-5. The y-intercept point is (0, -5).

The slope is the ratio of "rise" to "run" for the line. A slope of 2 means the line rises 2 units for each 1 unit it goes to the right. That means (0 +1, b+2) will be another point on the line: (1, -3).

Rick is looking for an expression equal to 64 + 88. In that expression, the greatest common factor of the two numbers in the parentheses must be 1. Which expression should he choose?

Answers

The expression that Rick choose is 99 + 53.

What is parentheses?

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

Given expression is 64 + 88

The simplest form of the expression 64 + 88 is 152.

152 = 99 + 53.

152 = 151 + 1

152 = 149 + 3

152 = 139 + 13

152 = 137 + 15

152 = 131 + 21

152 = 127 + 25

152 = 113 + 39

152 = 109 + 43

152 = 107 + 45

152 = 103 + 49

152 = 101 + 51

etc.

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CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

The simplified form of function sin(t)sec(t) is tan(t)

What are trigonometric ratios?

The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.

sec(t) = 1/cos(t)

replacing sec(t) in the function sin(t)sec(t)

we have sin(t) x 1/cos(t) which  becomes sin(t)/cos(t)

but sin(t)/cos(t) = tan(t)

In conclusion the simplified form of the function is  tan(t)

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find the value of x,y,z. show your equations and then use the variables to label the angles with their measures between a triangle and two parallel lines

Answers

The formula for the slope of parallel lines is m1 = m2, and the slopes of parallel lines are equal. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis.

What is Equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

Hence, The formula for the slope of parallel lines is m1 = m2, and the slopes of parallel lines are equal. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis.

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find four consecutive even integers such that the sum of the first three exceeds the fourth by 8.

Answers

Answer:

4, 6, 8, 10

Step-by-step explanation:

consecutive even integers have a difference of 2 between them.

let the 4 consecutive even integers be

n , n + 2 , n + 4 , n + 6 , then

n + n + 2 + n + 4 = n + 6 + 8

3n + 6 = n + 14 ( subtract n from both sides )

2n + 6 = 14 ( subtract 6 from both sides )

2n = 8 ( divide both sides by 2 )

n = 4

n + 2 = 4 + 2 = 6

n + 4 = 4 + 4 = 8

n + 6 = 4 + 6 = 10

the 4 integers are 4 , 6 , 8 , 10

The length of a rectangle is 11 ft more than double the width, and the area of the rectangle is 63 ft². Find the dimensions of the rectangle

Answers

The dimensions of the rectangle is 18 ft by 3.5 ft.

What is the dimension of a 2D objects?

Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. Two-dimensional objects include a triangle, circle, rectangle, and square.

Assume that the width of the rectangle is w.

Given that, the length of a rectangle is 11 ft more than double the width.

The length of the rectangle is (2w + 11) ft.

The area of the rectangle is (2w + 11) w = 2w² + 11w.

Also given the area of the rectangle is 63 ft².

Therefore,

2w² + 11w = 63

2w² + 11w - 63 = 0

Now applying quadric formula:

w = (-11 ± √{(-11)² -(4 × 2 × (-63))})/(2 × 2)

w = -9, 3.5

Since the length of the rectangle can't be negative, thus w ≠ -9.

w = 3.5

The length of the rectangle is (2 × 3.5 + 11) = 18 ft.

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SY 22-23_EGB_Math Grade 5_Mid-year Final answer key

Answers

Answer:

The answer is 2.9

Step-by-step explanations are not quite accurate

a newly discovered planet is found to have twice the radius and five times the mass of earth. if the acceleration of gravity at the surface of earth is g, the acceleration of gravity at the surface of the new planet is

Answers

g(planet)/g(earth) = 12.25/9.8 = 1.25 m/s²

Gravitational Force

The gravitational force is a force that attracts any two objects with mass. We call the gravitational force. It is given by, F=Gm1m2r2, direction of force will be always towards the other mass along the line joining the two bodies. It is attractive force in nature.

Gravity

The force of attraction by which terrestrial bodies tend to fall toward the center of the earth. heaviness or weight. gravitation in general.

The acceleration due to gravity of a planet with mass M and radius R is g as:

free-fall acceleration = 12.25 m/s²

Formula for free fall acceleration is given by the gravity equation;

g = Gm/r²

Where;

M is mass of the Earth

r is radius of the Earth

G is the gravitational constant

That equation applies to the earth.

For this new planet, that the mass = 5 × mass of earth

And radius = 2 × radius of earth.

Thus, free fall acceleration for this planet is;

g_ p = G(5m)/(2r)²

g_ p = (5/4)(Gm/r²)

Gravitational constant has a value of 6.674 × 10^(−11) N.m²/kg²

Mass of the earth = 5.972 × 10^(24) kg

Radius of the earth = 6378 km = 6378000

Thus

g_ p = (5/4)(6.674 × 10^(−11) × 5.972 × 10^(24))/(6378000²) = 12.25 m/s²

The acceleration of gravity at the surface of the new planet is

g(planet)/g(earth) = 12.25/9.8 = 1.25 m/s²

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In the figure below, points N, K, J, and H lie in plane Z.
Points L and M do not lie in plane Z.
For each part below, fill in the blanks to write a true statement.
L
N
Z
M
(a) K, , and are distinct points that are
collinear.
(b) LM and , are distinct lines that
intersect.
(c) Point N and line are coplanar.
(d) Another name for plane Z is plane.

Answers

Points H, J and K are collinear and I'll choose K, J, and H as the non-collinear points

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Points H, J and K are collinear as they are on the same line. Pick either K or K to fill out the answer box. I'll go with point K.

it through. Imagine if the flat piece of paper could revolve about this axis (like a propeller). The fact that the points are not all on the same line ensures that we build exactly one individual plane.

I'll choose K, J, and H as the non-collinear points to give the object the name Plane KJH. There may be further options.

Hence, Points H, J and K are collinear and I'll choose K, J, and H as the non-collinear points

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which equation can be simplified to find the inverse of y x2 7

Answers

x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.

What is Inverse function?

Inverse function is a function which reverse one function to another.

If a function f takes the variable x to y, then the inverse of a function must takes y to x.

To get the inverse of the function, we have to interchange the variables.

Given equation is y = x² - 7

Now interchange the variable x to y and y to x,

we get  x = y² - 7

Hence, the required equation is x = y² - 7

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When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem? 3

Answers

The unknown number which is added to the number 32.6 will be 3.54.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when adding 32.6 to a certain number, the sum is 36.14. The unknown number will be calculated as,

32.6 + N = 36.14

N = 36.14 - 32.6

N = 3.54

Therefore, the unknown number which is added to the number 32.6 will be 3.54.

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Solve the inequality
8+3x<20

Answers

Answer:

x < 4

Step-by-step explanation:

8 + 3x < 20 ( subtract 8 from both sides )

3x < 12 ( divide both sides by 3 )

x < 4

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 + 3x < 20}[/tex]

[tex]\mathsf{3x + 8 < 20}[/tex]

[tex]\text{Subtract by 8 to both sides}[/tex]

[tex]\mathsf{3x + 8 - 8 < 20 - 8}}[/tex]

[tex]\text{Simplify it}[/tex]

[tex]\mathsf{3x < 20 - 8}[/tex]

[tex]\mathsf{3x < 12}[/tex]

[tex]\text{Divide 3 to both sides}[/tex]

[tex]\mathsf{\dfrac{3x}{3} < \dfrac{12}{3}}[/tex]

[tex]\text{Simplify it}[/tex]

[tex]\mathsf{x < \dfrac{12}{3}}[/tex]

[tex]\mathsf{x < 4}[/tex]


[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x < 4}}}\huge\checkmark[/tex]

[tex]\rm{You\ have\ an\ O P E N\ circle\ shaded\ to\ the\ left\ }\large\checkmark[/tex]


[tex]\huge\text{Good luck on assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040;)}[/tex]

Jim Moore opens a new savings account. He deposits $12,000 at 12% compounded semiannually. At the start of the fourth year, Jim deposits an additional $50,000 that is also compounded semiannually at 12%. At the end of six years, the balance in Jim Moore's account is
Multiple Choice
$90,195.20
$93,932.28
$95,072.31
$88,555.42

Answers

After six years, Jim Moore's account will have a balance of $69,341 thanks to compound interest.

What is compound interest?

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the given information in the question,

The account in this issue is split up into two distinct investments. The first one is for $12,000 with a 12% compound interest rate over six years. Consequently, the criteria are as follows:

P = $12,000

r = 0.12

t = 6 years.

[tex]A_1(t)=P(1+\frac{r}{n} )^n^t[/tex]

[tex]A_1(6)=12000(1+\frac{0.12}{6} )^(^2^)^(^6^)[/tex]

A₁(6) = $15219.

The value of the second investment, which is $50,000 and is likewise compounded semi-annually at 12%, will be as follows at the conclusion of the fourth year:

[tex]A_2(t)=P(1+\frac{r}{n} )^n^t[/tex]

[tex]A_2(2)=50000(1+\frac{0.12}{6} )^(^2^)^(^2^)[/tex]

A₂(2) = 54122

Hence,

A(6) = A₁(6) + A₂(2)

A(6) = 15219 + 54122

A(6) = $69341

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What is the Herfindahl-Hirschman Index for a market with two firms, one having 99.5 percent of the market and the other having 0.5 percent?

Answers

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

to the nearest cent, calculate the total cost of the recipe by finding the total cost of each of the ingredients and adding them all together. ingredients amount amount in converted units ep unit cost ($/unit) total ($) leeks 4 oz 3.00/lb yellow squash 10 oz 2.85/lb butter 1 oz 3.00/lb spinach 8 oz 2.25/lb eggs 6 ea 2.75/dozen

Answers

The total cost of the recipe is 521.875 cents

In this question, we need to  calculate the total cost of the recipe by finding the total cost of each of the ingredients and adding them all together.

The ingredients amount in converted units

 ep                      amount         conversion       unit cost ($/unit)    

leeks                    4 oz                  0.25 lb               3.00/lb

yellow squash      10 oz               0.625 lb              2.85/lb

butter                    1 oz                0.0625 lb             3.00/lb

spinach                 8 oz                   0.5 lb                2.25/lb

eggs                     6 ea                   0.5 dozen          2.75/dozen

First, we have to determine to total cost per ingredient.

1. 0.25 x 3.00 = $0.75 (leeks)

2. 0.625 x  2.85 = $1.78125 (yellow squash)

3. 0.0625 x 3.00 = $0.1875 (butter)

4. 0.5 x 2.25 = $1.125 (spinach)

5. 0.5 x 2.75 = $1.375 (eggs)

Now, we can add the cost per ingredient to know the total cost.

$0.75 + $1.78125 + $0.1875 + $1.125 +  $1.375

= $5.21875

= 521.875 cents

Therefore, the total cost is 521.875 cents

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X, Y and Z form the vertices of a triangle, where

YXZ = 62°, XY = 6.1m and XZ = 7.9m.
Calculate the area of the triangle. Round your answer to 1 DP.

Answers

Answer:

Step-by-step explanation:

When sides 'z' and 'y' and included angle X is known, the area of the triangle is:

Area (∆XYZ) = 1/2 × yz × sin(X)

1/2 x 7.9 x 6.1 x Sin(62) = 21.27

in the context of assessing wound healing as an indicator of immune functioning, which of the following impairs the inflammatory response that initiates wound repair?

Answers

Acute ethanol exposure can hinder the early inflammatory response, which can delay wound healing.

Hemostasis, inflammation, proliferation, and remodeling are the four perfectly timed steps that make up the normal biological process of wound healing in the human body. All four phases of wound healing must take place in the right order and amount of time for healing to be successful. Numerous factors may affect one or more stages of this procedure, impairing or causing incorrect wound healing.

Each stage of wound healing has certain milestones that must occur in order for normal healing to progress. In order to identify the differences inherent in chronic wounds that prevent healing, it is important to review the process of healing in normal wounds

In summary, acute ethanol exposure can lead to impaired wound healing by impairing the early inflammatory response, inhibiting wound closure, angiogenesis, and collagen production, and altering the protease balance at the wound site.

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Help me please. Your the best if you help.

Answers

Answer: x = 25, y=15, z = 58

Step-by-step explanation:

which expression is equivalent to 3m 1n242m 2n3

Answers

The equivalent expression to the given expression [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is (81m²n⁵)/8.

What is an expression?An expression is formed by the arrangement of variables, constants, coefficients, and arithmetic operations.On simplifying an expression, we get its equivalent expression. Equivalent expressions are those that give the same value when evaluated.

Calculation:

The given expression is [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Simplifying the given expression:

We have [tex](a^x)^y = a^{xy}[/tex], [tex]a^{-x} = \frac{1}{a^x}[/tex], and [tex]\frac{a^x}{a^y} = a^{x-y}[/tex]

Applying these exponential formulae in the above expression, we get

[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3} = \frac{(3)^4(\frac{1}{m^4})(n^2)^4 }{(2)^3(\frac{1}{m^6})n^3 }[/tex]

⇒ 81/8 × (m⁶/m⁴) × (n⁸/n³)

⇒ 81/8 × m⁶⁻⁴ × n⁸⁻³

⇒ 81/8 × m² × n⁵

Therefore,  the equivalent expression for the given expression is (81m²n⁵)/8.

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find total amount to be repaid. round to nearest cent as needed.

Answers

The total amount to be repaid by Neema will be $4135.50

How to calculate the total amount?

It was illustrated that Neema bought appliances that cost $3805 at an interest charge of 5% and she will pay back in two years.

Since there is a $500 down payment, the remaining amount will be:

= $3805 - $500

= $3305

Therefore, the interest will be:

= PRT

= $3305 × 5% × 2

= $330.50

Therefore, total amount will be:

= $3305 + $500 + $330.50

= $4135.50

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7/8=35/40 -1/5=5/25 what is the error

Answers

Answer:

Assuming that you're trying to multiply each one by five, the mistake is that in the second one, it would be [tex]\frac{-5}{25}[/tex] and not [tex]\frac{5}{25}[/tex]

Answer:

Below

Step-by-step explanation:

35/40    - 1/5 =

35/40 - 8/40 =

27/40

Find the area of the circle x2 + y2 + 4x – 8y – 29 = 0. in sq.units

Answers

Answer:

A ≈ 154 units²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius)

to calculate the area we require to know r

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

given

x² + y² + 4x - 8y - 29 = 0

collect x and y terms together and add 29 to both sides )

x² + 4x + y² - 8y = 29

obtain standard form for circle using the method of completing the square

add ( half the coefficient of the x/ y terms)² to both sides

x² + 2(2)x + 4 + y² + 2(- 4)y + 16 = 29 + 4 + 16

(x + 2)² + (y - 4)² = 49 = r² ← in standard form

Then

A = πr² = π × 49 ≈ 154 units² ( to the nearest whole unit )

painting at a constant rate, will used 2/3 of a can of paint in 1 1/2 hours.show how to reason

Answers

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

1 can of paint is used in 2(1/4) hours

4/9 can of paint is used in 1 hour.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

2/3 can of paint = 1(1/2) hours

2/3 can of paint = 3/2 hours

Multiply 2/3 on both sides.

2/3 x 2/3 can of paint = 1 hour

4/9 can of paint = 1 hour

Or

2/3 can of paint = 1(1/2) hours

Multiply 3/2 on both sides.

1 can of paint = 3/2 x 3/2 hours

1 can of paint = 9/4 hours

1 can of paint = 2(1/4) hours

Thus,

We can say that,

1 can of paint is used in 2(1/4) hours

4/9 can of paint is used in 1 hour.

Learn more about unit rates here:

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Pendulums are traditionally used to keep time. The period (the time it takes to go back and forth) of a simple pendulum for a small amplitude is given by the function
T(L) = 2√32
√√
where T(L) is the period in seconds and L is the length of the pendulum in feet.
1
If the period of the pendulum is a 1/2
of a second, then what is the length of the pendulum?

Answers

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

1. There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
A. 0.06% B. 0.4% C. 6%
D. 40%

Answers

Answer:

The correct answer is D: 40%.

Step-by-step explanation:

To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.

So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.

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