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EXAMPLE 3
Marcus is putting new tiles on his kitchen floor. Each file is 1 square
foot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly how
many tiles will he use?

The distance an object falls in 3 seconds is 380.16 ft.

According to the question we have been given an equation of the distance that an object falls in t seconds, which is

                       d = [tex]\frac{1}{2} g t^{2}[/tex]

where,    d = distance

               g = 84.48 ft/sec²

                t = time.

We need to find the distance an object falls in 3 seconds. That is we have to find d when t = 3 seconds

Putting the required values  in the above formula we get

      d = [tex]\frac{1}{2} (84.48) (3)^{2}[/tex]

      d = 760.32/2

      d = 380.16 ft

hence the distance an object falls in 3 seconds is 380.16 ft.

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Answer:

38

Step-by-step explanation:

35 - {15 - (19 + 5)} ÷ 3

35 - {15 - (24)} ÷ 3

35 - {15 - 24} ÷ 3

35 - {-9} ÷ 3

35 + 9 ÷ 3

35 + 3

38

Answer:

28

Step-by-step explanation:

35 - (15 - (19 + 5) ÷ 3 ) ← evaluate inner parenthesis

= 35 - (15 - 24 ÷ 3) ← evaluate division before subtraction

= 35 - (15 - 8)

= 35 - 7

= 28

Answer:

The sum of two numbers is twenty-one. one number is eighteen less than two times the other =

8 and 13

We get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.

Charlie's mom uses an average of 9 diapers a day.

Average = 9

Average means a number that is calculated by adding quantities together and dividing the total by the number of quantities.

Average = Sum of observations / number of observations

A = S / N

We know that:

June has = 30 days

July has = 31 days.

Total days = 30 days + 31 days = 61 days

N = 61

Let the sum = S be x.

Substituting the values in the formula, we get that:

9 = S / 61

S = 9 × 61

S = 549

Therefore, we get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.

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Answer:

x-intercept(s): (2,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

Step-by-step explanation:

One at a time. X F G is an interior angle X F G. That is not true. So that is false. Let's cross that out. That's an exterior angle. E F G is an interior angle E F G. That is true. So put a check by that. F E Z is exterior. So F E Z. That is true. Put a check by that why she E. Is exterior. So why G A. No, that is not true. E G F. So let's mark these E G Aph. So this angle means another color and F G Y our supplementary. That is true. So let's write that angle E G F N F G Y R supplementary. That's true. They sit on a line, right? So they need to some too 1 80. Put a check by that And let's do the last one. F E G an angle F G E. So F E G. Let's mark that. F E G and F G E. No, that is not true. So you want to pick the let's say second, third, 2nd, 3rd and fifth statements as true.

a) The cost of an oil change, brake pads and radiator flush are $59.99, $40 and $10 respectively

b) He can expect to pay $50

The different combinations available are:

Oil change and radiator flush = $69.99

Brake pads and oil change = $99.99

Oil change, radiator flush and brake pads = $139.99

So, equating the above equations we get the individual prices of the items:

Oil change = $59.99

Brake pads = $40

Radiator flush = $10

Part a:

The price of an oil change is $59.99

The cost of brake pads replacement is $40

The price of a radiator flush is $10

Part b:

Brake pads replacement costs $40

Radiator flush costs $10

So, he can expect to pay $50 for the work

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The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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Stephanie did Step 3 wrong as instead of adding 10, she subtracted it.

We are given that Stephanie attempted to solve the equation 5 − 3 k = 2 ( k − 5 ).

5 - 3 k = 2 ( k - 5)

5 - 3 k = 2 k - 10

5 = 2 k + 3 k - 10

5 = 5 k - 10

5 + 10 = 5 k

15 = 5 k

15 / 5 = k

3 = k

We can see that she did Step 3 wrong as instead of adding 10, she subtracted it.

Therefore, she did Step 3 wrong as instead of adding 10, she subtracted it.

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The coordinates of the vertices of the image after a reflection

in the x-axis is K(4, 2) , L(6, 1) and M(5, 5).

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

A KLM has coordinates K(4, -2), L(6, -1), and M(5, 5).

According to given question we have

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

So,

K(4, -2) can changed to K(4, 2) .

L(6, -1) can changed to L(6, 1).

M(5, 5) can changed to M(5, 5).

Therefore, the coordinates of the vertices of the image after a reflection

in the x-axis is K(4, 2) , L(6, 1) and M(5, 5).

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Answer:

its in the shape of a tringle

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Definitely not a genius but I took a swing at it.  I just plotted the points; I didn't connect anything.

Answer:

The correct answer is 64 marbles.

Step-by-step explanation:

Let's analyze the information we have:

Jill has 4 bags of marbles.

In each bag she has 16 marbles (in each one she has 3red, 5green, 2 yellow, and 6black)

If each bag has 16 marbles, and she has 4 bags, then we must multiply the contents of each bag by 4.

And we do it as follows:

16 x 4 = 64

Therefore, we can say that Jill has 64 marbles.

Answer:

There is 16 in each bag so there is 64 marbles in total.

Step-by-step explanation:

3 + 2 = 5

5 + 5 = 10

10 + 6 = 16

16 x 4 (16 + 16+ 16+ 16) = 64

Answer:

314

Step-by-step explanation:

Changing [f(-1) = 1] into coordinate points, we get (x₁, y₁) = (-1, 1),

Changing [f(2) = 7] into coordinate points, we get (x₂, y₂) = (2, 7),

Also, changing [f(1) = 1] into coordinate points, we get (x₃, y₃) = (1, 1),

And finally, changing [f(3) = 0] into coordinate points,

We get (x₄, y₄) = (3, 0).

As per question statement, we are provided with Four separate functions, as follows, [f(-1) = 1], [f(2) = 7], [f(1) = 1] and [f(3) = 0].

We are required to convert the above mentioned functions into coordinate points.

To solve this question, we need to know the standard form of conversion of functions into coordinate points, which goes as [y = f(x)], i.e., the ordinate is a function of the abscissa.

Thus comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1).

Similarly, comparing [y = f(x)] to [7 = f(2)], we get (x, y) = (2, 7),

Comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1),

And finally, comparing [y = f(x)] to [0 = f(3)], we get (x, y) = (3, 0).

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Considering the definition of volume and volume of a cube, the edge length of the fish tank is 6 inches.

All matter occupies a space that can vary depending on its size. This space can be defined by volume, which is defined as the extension of an object in its three dimensions. That is, the volume corresponds to the measure of the space that a body occupies.

The cube is a polyhedron or three-dimensional geometric figure, with six equal sides, each of which is a regular polygon, that is, a square. In other words, a cube is a body made up of six faces that are square.

The volume of a cube is equal to the measure of its side to the cube:

Volume = side x side x side = side³

In this case, you know that:

Replacing in the definition of volume of a cube:

216 cubic inches = side³

Solving:

∛216 cubic inches= side

6 inches= side

Finally, the edge length of the fish tank is 6 inches.

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Answer:

AC = 135 units

Step-by-step explanation:

since PQ bisects AB , then

BC = AC , that is

12x - 21 = 9x + 18 ( subtract 9x from both sides )

3x - 21 = 18 ( add 21 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

AC = 9x + 18 = 9(13) + 18 = 117 + 18 = 135

The solution of the quadratic equation is (ii) 0 and 6. (iii) Imran's father was 30 years old when Imran was born.

Quadratic equation in one variable is generally of the form of ax²+bx+c=0 where x is the variable and a, b and c are constants.

The degree of a quadratic polynomial is 2 and there are 2 solutions for a quadratic equations.

The graph of a quadratic equation is parabolic in shape.

Imran's father is x² years  when Imran is x years. So after 4x years:

Imran's father's age=x²+4x

Imran's age=x+4x=5x

Now Imran's father is twice as old as Imran

∴2×(5x)=x²+4x

or, 10x=x²+4x

or, x²-6x=0

Hence the equation reduces to a quadratic equation of the form x²-6x=0.

ii) Solving the quadratic equation:x²-6x=0

Breaking into factors we get:

or, x(x-6)=0

either x=0 or x-6=0 or, x=6

Therefore the solution of the equation is 0,6 .

iii) When x=6 i.e, Imran is 6 years old,

age of his father = x²=6²=36 years.

So when Imran was born 6 years ago age of his father=36-6=30 years old.

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Angle of <RQK=34

Angle of<MQN=90

Angle of<MQK=34

Angle of<PQL=68

Angle of<RQL=112

Angle of<PQN=22

An angle may be a  figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.  Angles created by two rays are within the plane where the rays are located. The meeting of two planes also creates angles. We ask for these as dihedral angles. The angle formed by the rays lying perpendicular to the 2  crossing curves at the point of junction is another property of intersecting curves.

Angle also can refer to the length of a rotation or an angle. This metric represents the connection between a circular arc's length and radius. When  a geometrical  angle is involved

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The probability of a given event gives a result of 0.00037. It is generated by applying the basic concepts of probability to the assigned problem.

What is probability?

Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes

Calculation of finding the probability according to the conditions specified

The entire number of cards in a standard deck = 52

Total number of favourable outcomes = 1

The probability of selecting two cards is given by P(E1) which is equal to 1 / 52

P(E1) = 1 / 52

Another card is selected without replacing the first card, so the total number of cards in the deck becomes 51. The probability of selecting a card from these 51 cards is given by P(E) i.e. (1 / 52) × (1 / 51)

P(E) = 1 / 2652

P(E) = 0.00037

Hence, the required probability is given by 0.00037.

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Answer: Julie is 8 years old, Ann is 12 years old

Step-by-step explanation:

A=Ann's age. J=Julie's age

A=J+4

A-4=(J-4)*2

A-4=2(J-4)

A=2(J-4)+4

2(J-4)+4=J+4

2J-8+4=J+4

2J-4=J+4

2J=J+8

J=8

A=J+4

A=8+4

A=12

Julie is 8 years old. Ann is 12 years old. :) hope this wasnt too late

The mean absolute deviation of this data set is 0.2

The dataset is given as

0.7, 1.4, 3 and 2

Calculate the mean using

m(x) = Sum/Count

So, we have

m(x) = (0.7 + 1.4 + 3 + 2)/4

Evaluate

m(x) = 1.775

The mean absolute deviation is calculated as

Deviation = 1/n∑|(x - m(x))|

So, we have

Deviation = 1/4 * (|0.7 - 1.775| + |1.4 - 1.775| + |3 - 1.775| + |2 - 1.775|)

This gives

Deviation = 1/4 * (-1.075 + 0.375 + 1.225 + 0.225)

Evaluate

Deviation = 0.1875

Approximate

Deviation = 0.2

Hence, the mean absolute deviation of this data set is 0.2

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Answer:

5n+6.7

or

n= -1.34

Step-by-step explanation:

For the first answer is base on writing the problem while the second is to solve it

The Second answer

5n+6.7=0

-6.7 on both side

5n= -6.7

divide by 5

n= -6.7/5

if you want the answer to be in decimal than your answer is -1.34

But if you want your answer to be a faction than it -6.7/5

hope this help

Answer:

Algebraic Expressions- An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 2x + 4. Thus, we can say that 2x + 4 is an example of an algebraic expression.

Here are more examples:

• 5x + 4y + 10

• 2x2y - 3xy2

• (-a + 4b)2 + 6ab

To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together

Multiply the numbers

   x - 3 . 5x – 3x -12 - 4x + 18x - 7

= x – 15x - 3x – 12 – 4x + 18x – 7  

  Subtract the numbers

= x – 15x – 3x – 12 – 4x + 18x - 7

= x – 15x – 3x – 19 - 4x + 18x

  Combining the like terms

= - 2x – 19

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The transformation to map triangle XYZ to triangle JLK is a reflection over the y axis, that is (x, y) ⇒ (-x, y)

Transformation is the change of the location of a point or figure on the coordinate plane. Types of transformations are reflection, translation, rotation and dilation.

Reflection, translation, rotation are rigid transformation since they maintain the shape and size of the figure, where as dilation is not a rigid transformation as it changes the size.

The transformation to map triangle XYZ to triangle JLK is a reflection over the y axis, that is (x, y) ⇒ (-x, y)

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Answer:

b is the correct answer

80r144

Step-by-step explanation: