For a rectangle with a perimeter of 20 cm, the width of the rectangle is one-third its length. Use an equation to find the length and width of the rectangle.

Answer:

A. A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.

Step-by-step explanation:

You will make 1200 transactions by using the unitary method.

What is the unitary method?

Applying the unitary method to the given problem,

360 sec (three-sixty) = 360/60 = 6 min (six)

20*6(six) = 120 hr = 120*60 min

120*60/6 = 1200 transactions (answer)

You will make 1200 transactions by using the unitary method.

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Answer:

D) Dilation and reflection.

→ The shape was dilated by -1.

→ This shape was then reflected upside down.

Dilating a shape is the act of making a shape smaller by a scaled amount. Dilation is useful in mathematics when you need to determine difference in shapes' scales factors.

Reflection is mirroring a shape to its opposite image. For instance, I have triangle ∠ABC', which is facing right. I then reflect this image, and it becomes triangle ∠ABC", which now faces left on the opposite axis.

The coordinates of the image of the reflection of the parallelogram, HIJK, over the y-axis are;

H'(1, 3), I'(1, - 1), J'( -2, -2), K'( -2, 2)

The reflection of a pre-image, (x, y), over the y-axis gives an image at the point (-x, y), on the coordinate plane.

The given vertices of the parallelogram HIJK are;

H(-1, 3), I(-1, -1), J(2, -2), and K(2, 2)

The coordinates of the image are therefore;

[tex]H(-1, 3) \: \underrightarrow{ R_{ y-axis}} \: H ' (1, 3)[/tex]

[tex] I (-1, - 1) \: \underrightarrow{ R_{ y-axis}} \: I ' (1, - 1)[/tex]

[tex] J (2, -2) \: \underrightarrow{ R_{ y-axis}} \: J'( -2, -2)[/tex]

[tex] K (2, 2) \: \underrightarrow{ R_{ y-axis}} \: K'( -2, 2)[/tex]

The coordinates of the image, H'I'J'K' are therefore;

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Answer:

88, 276, 192.

Step-by-step explanation:

Let the first number be x.

Then the second number is 3x.

Then the third number is (x+100).

Sum of the numbers=540

x + 3x + ( x + 100 ) = 540

5x = 440

x = 88.

The first number is 88.

The second number is 276.

The third number is 192

Answer:

18.

Step-by-step explanation:

1) formula of the perimeter given in the condition is:

p=2(VW+XV) or p=2(VY+XY).

Note, VW=XY and XV=VY;

2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then

2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.

3) if z=8, then VW=2z+2=2*8+2=18.

hmmm ok, so the advertisement says that original price is 106 and is on a 6% discount, ok, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 106}}{\left( \cfrac{6}{100} \right)106}\implies 6.36[/tex]

so, if the item is discounted by 6%, that'd be then 106 - 6.36 = 99.64, but they are saying they have it for 100?  something fishy is going on.

Answer:

y = 8

Step-by-step explanation:

y + y + 2 = 18

2y + 2 = 18

     -2     -2    (+ 2 and - 2 cancel out each other)

   2y   = 16    

    2       2

     y = 8

Amelia went on a walk that was, She stopped to have lunch [tex]\frac{15}{4}[/tex] miles

when she had walked of the way [tex]\frac{12}{25}[/tex] miles. Amelia walk before lunch in

[tex]\frac{3}{25}[/tex] miles.

The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. In 1959, the statute mile was formally redefined with respect to SI units as precisely 1,609.344 meters. This resulted in a standardization of the statute mile between the British Commonwealth and the United States.

The unqualified term "mile" is typically understood to refer to the current international mile. The international mile may also be referred to as a land mile or a statute mile when it has to be distinguished from nautical mile.

The term "statute mile" in British English can apply to either the current international mile or any other variation of the English mile since the 1593 Act of Parliament, which established it as 1,760 yards. However, in American law, a statute mile is equivalent to a US survey mile. If it is obvious from the context, as in a discussion of the 2nd-century Antonine Itinerary that the distances are described in terms of miles rather than Roman miles, the qualifier to describe the type of mile being used may be omitted. Foreign and historical units that are translated into English as miles typically employ a qualifier to describe the kind of mile being used.

Now from the above given question:

She stopped to have lunch in [tex]\frac{15}{4}[/tex] miles

She had walked of the way in [tex]\frac{12}{25}[/tex] miles

[tex]\frac{15}{4}-\frac{12}{25} = \frac{60}{100}- \frac{48}{100} = \frac{12}{100}[/tex][tex]=\frac{3}{25}[/tex].

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Answer:

Linear?

Step-by-step explanation:

its been years since I've seen this so I'm not sure

The maximum number of point of intersection of a line and circle is two

Circle:

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:

[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.

Line:

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Line and Circle can intersect at two points maximum

Therefore,The maximum number of point of intersection of a line and circle is two

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Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x  - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

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We need to know what converse of a statement means to solve the problem. The converse of the given statement is, if a=bc then a/b=c.

The converse of a conditional statement is created by exchanging the condition and the result. If a statement is p--->q then the converse of the statement is q--->p. In the given question we have been given the condition as a/b=c and the result if the condition satisfies is a=bc. To find the converse of this statement we need to make the result, the condition and the condition will be the new result. So the condition for converse will be a=bc and the result if the condition satisfies will be a/b=c.

Therefore the converse of the given statement is, if a=bc then a/b=c.

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Using it's concept, the relative frequencies are given as follows:

a) 124/639

b) 43/213

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

For this problem, the number of students is:

583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.

620 responded study hard, hence the relative frequency is given as follows:

620/3195 (simplifying by 5)

124/639

645 responded goal in mind, hence the relative frequency is given as follows:

645/3195 (simplifying by 5)

129/639 (simplifying by 3)

43/213

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Answer:

B) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal.

Step-by-step explanation:

there you go I hope this help! :)

The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal (option b).

Using an absolute value function to model the distance from his house would imply that the distances from his house are the same for both the outbound and return journeys, which is not the case in this scenario.

The rates at which Jackson walks to and from his house are not equal, as indicated by the different times taken for each leg of the journey (20 minutes to get away from his house and 30 minutes to return). This means the graph of the distance over time would not be symmetrical around a vertical line.

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The complete question is:

Jackson left his house and walked at a constant rate. After 20 minutes he was 2 miles from his house. Jackson then walked back towards his house at a constant rate. After another 30 minutes he arrived at his house.

Why should Jackson not use an absolute value function to model the distance from his house d after t minutes?

OA) The graph will be symmetrical because the rates at which Jackson walks to and from his house are equal.

OB) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal..

OC) The graph will be symmetrical because the rates at which Jackson walks to and from his house are not equal.

OD) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are equal

Answer: 7

Step-by-step explanation: A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine whether or not the diagonals

Answer:

7

Step-by-step explanation:

:D

Answer:

4    + 4√2

Step-by-step explanation:

[tex]CD=\sqrt{\left( 4-4\right)^{2} +\left( -5 - (-1)\right)^{2} } \\\\\\ =\sqrt{\left( 0\right)^{2} +(-4)^{2} }\\\\\\\ = \sqrt{16 }\\\\\\ =4[/tex]

[tex]DE=\sqrt{\left( 2-4\right)^{2} +\left( -3 - (-5)\right)^{2} } \\\\\\ =\sqrt{\left(-2\right)^{2} +(2)^{2} }\\\\\\\ = \sqrt{8 }\\\\\\ =2\sqrt{2}[/tex]

[tex]\text{\bf{EC} $=\sqrt{\left( 4-2\right)^{2} +\left( -1 - (-3)\right)^{2} } \\\\\\ =\sqrt{\left( 2\right)^{2} +(2)^{2} }\\\\\\\ = \sqrt{8 }\\\\\\ =2\sqrt{2}$}[/tex]

Perimeter (∆CDE) = CD + DE   + EC

                             = 4    + 2√2 + 2√2

                             = 4    + 4√2

                             ≈ 9.7

Answer:

The police will catch the thief in 5 minutes.

Step-by-step explanation:

Distance between thief and police after 2 minutes = 100 m

Implies, thief covers total 100 + 50t m

The police runs with the following patterns 60,65,70...

This is an Arithmetic Progression with a = 60, d = 5 & number of terms = t

t/2 (2 × 60+ (t − 1) ×5)= 50t + 100

t× (120 + 5t −5)= 100t + 200

​(−3+13)÷2= 5

So, the police will catch the thief in 5 minutes.

hi

-(3a-3) =   -3a +3    

you cannot do much more.  

You can  rewrite it as  3 ( -a +1)   or as  -3 ( a -1)  but nothing more really.

Answer:

y=1/3x+5

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept. y and x don't need to be specified for this specific problem.

You figure out the slope by using rise over run

you first pick 2 random points on the line and then count how you get from the 1st point to the 2nd point.

Let's say the points are (-3,4) and (0,5).

to get to (0,5) from (-3,4) you count up 1 (rise) and right 3 (run).

that means your slope is 1/3

Your b, or your y-intercept, is just where the slope intercepts the y-axis, so b=5

From there you just plug those into the equation:

y=1/3x+5

:D

Answer:

Step-by-step explanation:

you need to turn the second y equation into the correct format, so it needs to be y=. Subtract the 1 from the left side and but it on the right side. Your equation should y=3x-1. To graph this on paper, you would go 1 down on the y axis, then rise (go up) 3 and run ( go over) one.on a calculator plug it into the y1 function and y2 function and then press graph.

Answer:

Domain: [-20, 20]

Range: [-30, 5]

Step-by-step explanation:

The domain is the set of x values and the range is the set of y values.

The  property of equality was used to solve this equation is addition property of equality

The property states that the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

Given the expression

X-5=-14

Add 5 to both sides to have;

x-5 + 5 = -14 + 5

x = -14 + 4

x = -9

Hence the  property of equality was used to solve this equation is addition property of equality

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Answer:

x = 6

Step-by-step explanation:

4x/3 = 8

Solve for x

Multiply each side by 3

4x/3 *3 = 8*3

4x = 24

Divide each side by 4

4x/4 = 24/4

x = 6

Answer:

[tex] \sf \large \: x=6[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

4x/3 =8

Step 1: Multiply both sides by 3.

4x/3=8

(4x/3)*(3)=(8)*(3)

4x=24

Step 2: Divide both sides by 4.

4x/4 = 24/4

x=6

Answer:

==========================

The distributive property is:

Apply this to the options:

Answer:

b) 2(x + 3) = 2x + 6

Step-by-step explanation:

The formula we refer to is,

→ a × (b + c) = (a × b) + (a × c)

The option obeys distributive law is,

→ 2 × (x + 3) = (2 × x) + (2 × 3)

→ 2(x + 3) = 2x + 6

Hence, option (b) is correct.

Answer:

0

Step-by-step explanation:

To find the slope of a line, you have to use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

So, plug in the numbers: [tex]\frac{-7-(-7)}{-2-1}[/tex]

Simplifying it becomes: [tex]\frac{-7+7}{-2+-1}[/tex]. It then becomes [tex]\frac{0}{-3}[/tex].

Finally, dividing 0 by -3 gets you 0.

Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

Answer:

This is not a function.

Step-by-step explanation:

The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.

Answer:

193 and 194

Step-by-step explanation:

Left page = X

Right page = X + 1

You know the total sum.

X + (X + 1) = 387

2X + 1 = 387

2X = 387 - 1

2X = 386

X = 193

When you plug X in you get the following;

Left page = 193

Right page = 193 + 1 = 194