The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship.

The Graph Shows The Relationship Between The United States Dollar And The Euro, The Currency Of The European

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{300-90}{400-120}[/tex]

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.


Related Questions

Select all tables that show a porportional relationship hurry pls thx

Answers

Answer:

the 4th table and the last one

Step-by-step explanation:

Select the correct answer from each drop-down menu.
The length of arc PR is 12 centimeters and its measure is 60° on circle O.
The area of sector POR is approximately
centimeters
square centimeters, and the perimeter of sector POR is approximately

Answers

Answer: • 68.76

• 34.92

Step-by-step explanation:

edmentum answer

Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
Help soon pls :)

Answers

Answer:

Step-by-step explanation:

Find the slope of the line between (5,5)and (1,0) using m=(y2-y1)/(x2-x1)

which is the change of y over the change of x.

m=5/4

Use the slope 5/4 and a given point (5,5) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=(y2-y1)/(x2-x1)

y-5=5/4*(x-5)

Simplify the equation and keep it in point-slope form y-5=5/4*(x-5)

Solve for y.

y=5x/4-5/4

Reorder terms.

y=5/4 x-5/4

List the equation in different forms.

Slope-intercept form: y=5/4 x-5/4

Point-slope form: y-5=5/4*(x-5)

Find the value of f(5) y = f(x) on a graph

Answers

graphing

f ( 5 )

y =  f ( x )

What are the answers to number 12 and 14? Pls help!!!! 15 points :)

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12. b
14. A
I hope it's right

Solve for x. .
32
Answers
(2x - 12)
X = 35
x = 51
x = 80
x = 96

Answers

Step-by-step explanation:

plug in the values of x in the function

1. 58

2. 90

3. 148

4. 180

Trigonometry, I also need help with this, 66 points because why not?

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Answer:

[tex]\cot(\theta)=\sqrt{2}[/tex]

[tex]\implies \dfrac{1}{\tan(\theta)}=\sqrt{2}[/tex]

[tex]\implies \tan(\theta)=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\implies \theta=35.26438968...\textdegree \pm180\textdegree n[/tex]

[tex]\implies \theta=215.26438968...\textdegree[/tex]

⇒ Opposite side to angle = 1,  Adjacent side to angle = √2

⇒ Hypotenuse = √(1² + √2²) = √3

[tex]\implies \cos(\theta)=\dfrac{A}{H}=-\dfrac{\sqrt{2}}{\sqrt{3}}=-\dfrac{\sqrt{6}}{3}[/tex]

[tex]\implies \sin(\theta)=\dfrac{O}{H}=-\dfrac{1}{\sqrt{3} }=-\dfrac{\sqrt{3}}{3 }[/tex]

[tex]\implies \tan(\theta)=\dfrac{O}{A}=\dfrac{1}{\sqrt{2}} = \dfrac{\sqrt{2}}{2}[/tex]

3x + 2 =x +4(x+2) solve for x

Answers

Answer:

x= -3

Step-by-step explanation:

I do not have one sorry,

Which intersection forms a parabola?

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Answer

A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

Step-by-step explanation:

Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.

⚠️ ⚠️⚠️⚠️PLEASE HELP ⚠️⚠️⚠️⚠️

Answers

Answer:

PLz give brainliest

Step-by-step explanation:

Y=60

x=33

1. On her birthday, Shruti bought 2 kg sweets and distributed 1 kg 500 g among her classmates. How much sweets were left with her? ​

Answers

Answer:

500g

Step-by-step explanation:

since she brought 2 kg of sweets, and distributed to her classmates, that means we wil sustract 2 from 1,5 and that will be 0.5 or 500g

I hope I helped you! :)))

Answer:

500g

Step-by-step explanation:

She initially had 2 kg and gave away 1 kg 500 to her classmates

1000 g = 1 kg

500 g   = ?

500 g = half a kilogram

So, 1kg 500g is 1.5 kg

So, to get how much sweets were left with her, we subtract 1.5 kg from 2 kg.

2 - 1.5 = 0.5 kg

So, she was left with 0.5 kg or 500g of sweets

Someone pls help????????????????

Answers

Answer:

18

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 5 m + 5 m + 2 m + 5 m + 1 m

perimeter = 18 m

The answer in 18cm
Due to the math
I’ve done this before so it should be 18cm

Sorry if it’s blurry, please help

Answers

Answer:

-7 & 1

Step-by-step explanation:

[tex] - 7 \times 1 = -7 \\ \\ - 7 + 1 = - 6[/tex]

Hope it helps you in your learning process.

At a car rental office, 63% of the customers are men and 37% are women. If 25% of people request a compact car, 37% request a full-sized, 10% request a convertible,16% request an SUV, and 12% request a luxury car, what is the probability that the next customer will be a woman who requests a convertible?

Answers

Answer:

3.7%

Step-by-step explanation:

As per given

P(woman)= 37%P(convertible) = 10%

So combined probability is:

P = 37%*10% = 37%*0.1 = 3.7%

Complete the square
[tex]2x^2+16x-7[/tex]

Answers

Hey there!

[tex]\fbox{2x²+16x-7}[/tex]

[tex]\fbox{2(x + 4)² - 39}[/tex]

Given the figure below, find the values of x and z.

Answers

Answer:

make me brainlaiest.....

Answer:

The value of x = 5

The value of z = 107

Step-by-step explanation:

=> (6x+43)° +107° = 180° { linear pair }

=> 6x+43 +107 = 180

=> 6x + 150 = 180

=> 6x = 180-150

=> x = 30/6

=> x = 5

Now solve for z ,

107 = z { Vertically opposite angle }

An angle measures 1.2° more than the measure of its complementary angle. what is the measure of each angle?

Answers

Answer:

44.4°

Step-by-step explanation:

Two complementary angles add up to 90°. Let's call one of the two x, and the second 90-x (in fact, [tex]x+(90-x) = 90[/tex]).

At this point we can use the second condition: the first angle, plus 1.2°, is equal to the complementary.

[tex]x+1.2=90-x \rightarrow 2x=88.8 \rightarrow x = 44.4[/tex]


what is the constant of proportionality in the equation x/y = 2/9

Answers

Answer:

The constant of proportionality is 4.5

Step-by-step explanation:

To demonstrate the constant of proportionality, we typically use variable k. The equation can look like y/x=k or y=kx
y/x=k
9/2= 4.5

The constant of proportionality is 4.5.

To check the work, we can use the other equation, y=kx.

y=kx

y=4.5(2)

y= 9

Starting from the same place, Ryu walks due west and Samantha walks due east.

On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. All values are given in feet.

A number line ranging from minus 660 to plus 660. Tick marks are every 60 units. A point labeled Samantha is located at two tick marks to the right of zero. A point labeled Ryu is located at 8 tick marks to the left of zero.

How many feet apart are Ryu and Samantha on the number line?

Enter your answer in the box.

Answers

For Samantha, 2 tick marks east is 120 units east because 1 tick is 60 units.

For Ryu, 8 tick marks west is 480 units west because 1 tick is 60 units.

They are walking to form a line. Just add their distances from 0.

120 + 480 = 600.

--------------------------0----------------------------

Ryu: 480                         Samantha: 120

         480              +             120           =    600.

600 units, or feet.

What is the result of the construction shown?
A. Angle bisector
B. Copying an angle
C. Copying a line segment
D. Perpendicular bisector

Answers

Answer:

Option C: Copying an angle

Step-by-step explanation:

Angle bisector is a line through an angle that will split that angle to 2 equal angles. Thus, option A is wrong as no angle is being split.

Copying an angle involves reproducing a particular angle in another construction. The image shows us that there is an attempt to reproduce the perpendicular angle of 90°. Thus, option B is correct.

Copying a line segment involves creating the exact size of line in another construction. The image doesn't depict that. Thus option C is wrong.

Perpendicular bisector is when we draw a perpendicular line through a horizontal one to divide it into 2 equal parts. This is not the case here. Thus, option D is wrong.

What is the change in the scale factor from the old scale to the new scale?

Old: 1 inch = 3.3 feet. New: 1 inch = 1.1 feet.

Answers

Answer:

3 to 1

Step-by-step explanation:

It is divided by 3.

What are all the things dilations do in geometry?

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Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

Frank traveled 5.3 kilometers from work to home in 30-minutes. Which of the following values is closest to the average speed, in miles per hour?

Answers

Frank's average speed is the rate of the distance traveled and the time

Frank's average speed is 6.58 miles per hour

How to determine the average speed

The given parameters are:

Distance = 5.3 kilometers

Time = 30 minutes

The average speed is then calculated as:

Average speed = Distance/Time

Substitute known values

Average speed = 5.3km/30 minutes

Convert time to hours

Average speed = 5.3km/0.5 hour

Convert the distance to miles

Average speed = 3.29 miles/0.5 hour

Evaluate the quotient

Average speed = 6.58 miles per hour

Hence, Frank's average speed is 6.58 miles per hour

Read more about average speed at:

https://brainly.com/question/4931057

Stuffed animals each weighing 1 over 4 pound are on a scale. The scale shows 1 1 over 2 pounds. How many stuffed animals are on the scale?

Answers

Answer:

6 stuffed animals

Step-by-step explanation:

if 1/4= 1 then 1x6= 1 1/2

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

yoko made $323 for 17 hours of work. at the same rat how much would she make for 8 hours of work

Answers

Answer:

$152

Step-by-step explanation:

To find Yoko's hourly pay, we will divide the $323 she made after working by 17, which is the number of hours she worked:

323 ÷ 17 = 19

We now know that Yoko makes $19 an hour (dang, she's probably a doctor or something) however, we're not done yet.

We will multiply $19 by 8 hours of work to see how much she'll make after 8 hours:

19 × 8 = 152

Yoko makes $152 after 8 hours of work.

Please rate 5 stars and/or say thanks if I helped!

~Roi

Find the value of two numbers if their sum is 12 and their difference is four.

Answers

Answer:

8 and 4 is the answer!

x + y = 12 , x-y = 4
x= 4+ y

4+y+y=12
y = 4
x = 8

So , 4 and 8
Good Luck.

Determining Possible Side Lengths
The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.

Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
< d

Answers

Answer:

300<d<700

Step-by-step explanation:

Answer:

300 < d < 700

Step-by-step explanation:

we know thatin the triangle ABCAB=500 milesBC=200 milesAC=xApplying the Triangle Inequality Theorem1) 500+200 > x------> 700 > x------> x < 700 miles2) 200+x > 500----> x > 500-200------> x > 300 milesthe solution for x is 300 < x < 700

What is the simplified form of cos ??

Answers

Answer:

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

Step-by-step explanation:

A triangle has a total of 180° (B is a 90° angle)

Take 180° - 90° to find the angle of A + C which equals 90°

take 90°/2 to get the angle of C which is 45°

and to check that take 45°+45°+90°= 180°

Now...

cos (C)

cos(45°) = [tex]\frac{\sqrt{2} }{2}[/tex] [Answer]

Please rate!!

Describe and correct the error a student made in identifying the common difference of the following sequence.
​29, 22,​ 15, 8,​ 1, ...

Answers

Given:

The sequence is 29, 22,​ 15, 8,​ 1, ...

To find:

The common difference.

Solution:

We have,

29, 22,​ 15, 8,​ 1, ...

It is an AP.

First term : [tex]a_1=29[/tex]

Second term : [tex]a_2=22[/tex]

Now,

Common difference : [tex]d=a_2-a_1[/tex]

[tex]d=22-29[/tex]

[tex]d=-7[/tex]

Therefore, the correct common difference is -7.

Note: Here calculation by student is not given, so we cannot find the error of the student.

88 is a solution to 1/8x=11 because

Answers

See below...

(1/8)x = 11

Muliply 8 on both sides...

x = 88

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