Part C Explain the similarities and the differences between the two relationships in this situation.

Karen while putting a fence around the L shaped garden will need about 22.3 ft which is the exact perimeter of this field, with its dimensions as given as 2.1ft by 7.8ft by 5.5ft by2.7ft of the garden.

Any kind of closed path that covers, encircles, or outlines a full one-dimensional length or a two-dimensional shape is called as a perimeter.

The circumference of a circle or an ellipse is referred to as its perimeter. There are varied uses in real life for the perimeter calculations.

For example, in case of a rectangle, there are two equal lengths and two equal widths in a rectangle. Then we must sum up all the lengths of the rectangle’s four sides in order to get its final perimeter.

Since there are like two of each side length, it is easy to accomplish this perimeter by simply adding the length and width and then multiplying the result by two.

In this problem,

Total perimeter = 2.1 + 5.1 + 2.1 + 2.5 + 2.7 + 7.8

= 22.3 ft

Thus, the perimeter has been calculated in total as 22.3 ft.

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Answer: h x 5

Step-by-step explanation: it is going by 5 every hour and every hour you get paid goes up by 5$. so I would say h x 5   or pt x 5

hw        pt

40   /    8.50 . 40

pt = paycheck total

hw= hours worked

Answer: a unit rate is how much would you pay for one item  and a rate is a fixed price for a good or service

Step-by-step explanation:

Answer:

[0, infinity)

Step-by-step explanation:

The range is the set of y-values.

Answer:

100$

Step-by-step explanation:

5x20=100

The point (x,y,z) =  (₋1,3,₋1) is the solution of the equations.

Given the system of equations are:

2x ₊ y ₊ 3z = ₋2 .....eq(1)

x ₋ y ₋ z = ₋3 ...... eq(2)

3x ₋ 2y ₊ 3z = ₋ 12 .... eq(3)

Solving equation 1 and 2.

2x ₊ y ₊ 3z = ₋2

x ₋ y ₋ z = ₋3

Multiply eq(1) by 1 and eq(2) by 2, we get:

2x ₊ y ₊ 3z = ₋2

2x ₋ 2y ₋ 2z = ₋6

⁻     ⁺     ⁺         ⁺

hence sign changes, then we get:

3y ₊ 5z = 4 ... eq(a)

now solving equation 2 and 3.

x ₋ y ₋ z = ₋3

3x ₋ 2y ₊ 3z = ₋ 12

Multiply eq (2) by 3 and eq (3) by 1.

₋3x ₊ 3y ₊ 3z =  9

3x ₋ 2y ₊ 3z = ₋ 12

sign changes, and we get:

y ₊ 6z = ₋3 ..... eq(b)

y = ₋3 ₋ 6z

substitute y value in eq(a)

3(₋3₋6z) ₊ 5z = 4

₋9 ₋ 18z ₊ 5z = 4

₋13z = 13

z = ₋1

substitute z value in eq(b)

y ₊ 6(₋1) = ₋3

y ₋ 6 = ₋3

y = 3

substitute y and z values in eq (2)

x ₋ (3) ₋ (₋1) = ₋3

x ₋ 3 ₊ 1 = ₋3

x ₋ 2 = ₋3

x = ₋3 ₊ 2

x = ₋1

Therefore the solution to the system of equations is: (₋1,3,₋1)

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your question is incomplete.Please find the missing content here:

2x ₊ y ₊ 3z = ₋2

x ₋ y ₋ z = ₋3

3x ₋ 2y ₊ 3z = ₋ 12

Find the unique solution to this system of equations. Give your answer as a point. (x, y, z)

Answer:-2

Step-by-step explanation:add 8 to both sides 12x-8<-32=-2

Answer:

Hello! X should equal 17 and each measured angle would be at 37 degrees.

Step-by-step explanation:

(x + 20) = (4x - 31)

Solve.

x = 17

Plug it in.

(17 + 20) = (4(17) - 31)

Solve.

37 = 37

Hope this helps! Xx

Answer:

5/16

Step-by-step explanation:

9/16 - 1/4 = 9-4/16 = 5/16

Answer:

Step-by-step explanation:

I would say that nobody gets the last one but every one else gets 2 apples and 1 orange.

The angle of elevation made from the eyes of the observer to the top of the tower is 45°.

The angle of elevation is the angle formed by the horizontal line of sight and the upward line of sight.

For the given question;

The angle of elevation of the top of the tower to the eyes of the observer is needed.

Thus, for this subtract the height of the observer to the height of tower;

height from the eyes to the tower is 22 - 1.5 = 20.5 m.

Thus, apply the trigonometric rule to calculate the angle;

tan Ф = perpendicular/base

perpendicular is the height of tower from the eyes of boy = 20.5 meter.

base is the distance of the tower from the boy = 20.5 meter.

Put the values;

tan Ф = 20.5/20.5

tan Ф = 1

Ф = 45°.

Thus, the angle of elevation made by the eyes of the observer to the top of the tower is  45°.

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The complete question is -

An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.

Answer:

it got sides and all the sides are 5cm

A real-world situation where you can apply the unit rate is finding the cost of a single can of soda from a pack of soda.

The unit rate refers to the price of a single item out of a number or group of items. It is found by dividing the total price of the group of items by the number of items in the group.

In a real-world scenario, you might see a pack of soda priced at $5.20 and you need to know the price of a single can of soda. You can find this by the formula:

= Price of soda pack / Number of soda cans

= 5.20 / 6

= $0.87

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The principal investment required to get a total amount of $250,000.00 rounded to the nearest cent is $81569.95.

The formula for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

P = A / e^(r*t) compounded continuously

Given the data in the question;

Plug the given values into the equation above and solve for P

P = A / e^(r*t)

P = 250,000 / e^( 0.14 × 8 )

P = 250,000 / e^( 1.12)

P = 250,000 / e^( 1.12)

P = $81569.95

Therefore the principal investment required to get a total amount of $250,000.00 rounded to the nearest cent is $81569.95.

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Ken invested $5,700 in the 6% account, and the other $4,300 in the 4% account.

Let's define the variables:

We know that Ken invested $10,000 in total, so:

x + y = 10,000

And the interest in one year is:

x*0.04 + y*0.06 = 514

Then we have a system of equations:

x + y = 10,000

x*0.04 + y*0.06 = 514

To solve it we start by isolating one of the variables in one of the equations, isolating x we will get:

x = 10,000 - y

Replacing that in the other equation we get:

(10,000 - y)*0.04 + y*0.06 = 514

400 - y*0.04 + y*0.06 = 514

400 + y*0.02 = 514

y = (514 - 400)/0.02 = 5,700

Then Ken invested $5,700 in the 6% account, and the other $4,300 in the 4% account.

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Answer:

Step-by-step explanation:

to find this answer you have to know how to make a percent of something to a normal value so to make 91% to a decimal value you divide by 100. That is 0.91. Then you multipy 0.91 x 80=72.8

He got 72 questions right

Answer:

Step-by-step explanation:

f

The graph which does not represent y as a function of x is (B) as a line drawn can't touch the graph at two points.

The function that dose not show y as a function of x.

Y is a function of X, means that a certain variable magnitude or phenomenon Y is determined/caused by another magnitude or phenomenon X, such that the behavior of X will affect that of Y. In logic, a function symbol is a logical symbol that may be applied to an object term to produce another object term.

If a vertical line is drawn such that it touches more than one place, then it is not a function of x.

Here also if a vertical line will be drawn it will touch two places in the curve.

So, in figure B, y is not a function of x.

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As a line created can't touch the graph at two locations, graph (B) does not represent y as a function of x.

The function that hides y's relationship to x.

A variable's magnitude or phenomena Y is determined by or caused by a different variable's magnitude or phenomenon X, meaning that X's behavior will have an impact on Y's. A function symbol in logic is a logical symbol that can be used to transform one object term into another.

A vertical line is not a function of x if it is drawn so that it touches many locations.

In this instance as well, a vertical line drawn here will strike the curve twice.

Y is not a function of x in figure B, therefore.

Answer:

25

Step-by-step explanation:

Divide: 5 : 1/5 = 5/1 · 5/1 = 5 · 5/1 · 1 = 25/1 = 25 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/5 is 5/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.In other words - five divided by one fifth is twenty-five.

I hope this helps! Thanks!

Even though scientists can't directly observe what is happening on Mars, they can send satellites to orbit Mars which can document the various aspects of Mars and its geography.

Thanks to massive strides in space technology, humans have been able to study Mars all the way from Earth without having to observe the planet directly.

The main way they can do this is by positioning satellites around Mars which will orbit the planet. These satellites will record and observe things such as the composition of the atmosphere of Mars and how its terrain works.

In conclusion, scientists can use satellites to observe Mars.

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Answer:

x = 8

Step-by-step explanation:

Subtract

44

from both sides

2

Simplify

3

Add

8x

to both sides

4

Simplify

5

Divide both sides by the same factor

6

Simplify

Based on the number of people who said they own a dog and those who owned both a cat and a dog, the number of people who own a dog but not a cat are 22 people.

To find the number of people who own a dog but not a cat, the formula is:

= Number of people who own a dog - Number of people who own both a dog and a cat

Solving for the number who own a dog and no cats is:

= 56 - 34

= 22 people

In conclusion, 22 people own a dog but not a cat.

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Answer:

2364 in

Step-by-step explanation:

1,224+1,140=2364

Answer:

  2 7/8 yards

Step-by-step explanation:

Given 6 1/8 yards of ribbon, you want the leftover amount after making 4 bows that use 13/16 yards each.

If each of 4 bows takes 13/16 yards, the amount required for bows is ...

  4×13/16 = 13/4 . . . . yards

The amount left over is the difference between the starting amount and the amount used:

  6 1/8 - 13/4 = 49/8 -26/8 = 23/8 = 2 7/8

The hairdresser has 2 7/8 yards of ribbon remaining.

__

Additional comment

Your calculator can work this problem, too.

The answer choice which is dissimilar to the other three as given in the task content is Choice 3; AD6.

It follows from the task content that the answer choice which is dissimilar to the rest of the answer choices be identified.

From observation, the letters of the alphabet are assigned numbers and the sums are determined such as follows;

The answer choice which is dissimilar to the other three as given in the task content is Choice 3; AD6.

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The triangle was translated 5 units down and then reflected over the x axis to get (-1, 2), (2, 6) and (-5, 8)

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Transformation is the movement of a point either up, down, left or right in the coordinate plane.

The triangle shown has vertices at (-1, 3), (2, -1) and (-5, -3). It was translated 5 units down to get (-1, -2), (2, -6) and (-5, -8). It is then reflected over the x axis to get (-1, 2), (2, 6) and (-5, 8)

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The number of apples that Gina can buy is 15 apples.

From the information, it was stated that the ratio of orange to apples is 2:3.

In this case, let the number of apples be represented by x

Therefore, the number of will be:

2/3 = 10/x

Cross multiply

2x = 10 × 3

2x = 30

Divide

x = 30 / 2

x = 15

Therefore, the number of apples that Gina can buy is 15 apples.

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The ratio of orange to apples is 2:3. Gina might buy 10 oranges and _ apples

4 cuboids of dimensions 15, 30, and 15 cm will be needed to form a cube

The volume of the cuboid is l×b×h where l is length, b is breath and h is the height

The volume of given cuboid  = l b h

 = 15× 30 ×15

= 6750 cm3

The volume of a cube is a3 where a is the edge of the cube

The edge of the cube can be 30cm

The volume of cube= [tex]a^{3}[/tex]

= [tex]30^{3}[/tex]

= 27000 [tex]cm^3[/tex]

To find out the number of cuboids to be required to form a cube will be the volume of the cube divided by the volume of a cuboid

No of cuboids required = (volume of the cube)/(volume of the cuboid)

= 27000/ 6750

 = 4

So, 4 cuboids of 30 ×15 ×15 are required to make a cube whose edge is 30cm

The correct question is How many cuboids of dimensions 15, 30, and 15 cm will be needed to form a cube

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if 1 jar of jam is 516 then 7 jars of jam is 3612 g

The constant of variation is 72.

In a direct variation, the constant of variation is the constant (unchanged) ratio of the two variables. The formula for direct variation is. where k is the variational constant and y=kx (or y=kx).

being that

x = 8

y = 9

If x varies in opposition to y, then

x*y = fixed

which means

x*y = k (where we assume constant as k) (where we take constant as k)

Inputting the values of x and y now yields,

8*9 = k

72 = k

Consequently, 72 is the constant of variation.

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