Which expression can be used to convert 22 Australian dollars to US dollars?

Assume 1.2 Australian dollars equals 1 US dollar.

Answers

Answer 1

Answer:

1.2x = 22x = 55/3 ≈ 18.3322 AUD = 18.33 USD

Step-by-step explanation:

1 USD - 1.2 AUD

x USD - 22 AUD

cross multiply

1.2 · x = 1 · 22

1.2x = 22

multiply both sides by 10

12x = 220

divide both sides by 12

x=55/3 ≈ 18.33

USD - United States dollar

AUD - Australian dollar


Related Questions

What are the slope and the y-intercept of the linear function that is represented by the graph?

answer C is “The slope is Negative three-fourths, and the y-intercept is 3.”

answer D is “The slope is Negative three-fourths, and the y-intercept is 4”

Answers

Answer:

“The slope is Negative three-fourths, and the y-intercept is 3.”

Step-by-step explanation:

the graph passes through the points (0 , 3) and (4 , 0)

Then

The slope is :

[tex]=\frac{0-3}{4-0}[/tex]

[tex]=-\frac{3}{4}[/tex]

Since , the graph passes through (0 , 3)

THen the y-intercept is 3.

which of these tables represents a function

Answers

Answer:

A: Table W.

Step-by-step explanation:

A function for tables are where the X-input NEVER repeat.

Graph W. Doesn't have any repeating inputs on the x side

Y can repeat as much as the problem make wants but the x CAN NOT.

In the number line below, JK is 5, LM is 6, and KL is 4. What is the length of the line segment formed by the midpoint of JK and midpoint of LM?

Answers

Answer:

By splitting the line segments into equal parts, we find that the length of the line segment formed by joining the mid-points is 5.5 units.

Step-by-step explanation:

Given lengths show that the length of JK is 5 units, KL is 4 units and LM is 6 units. Let the midpoint of JK be A. This means JK is splited into two equal parts JA and AK. Since the lengths of both the segments are same, it will be 5/2 = 2.5 units.

Now, let the midpoint of LM be B. So, we have two equal line segments LB and BM of length 6/2 = 3 units.

So, the length of the line segment formed by joining A and B will be 2.5 + 3 = 5.5 units

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Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope?

Answers

Answer:

The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.

y-intercept: (0,50)

Slope: 45

What is the value of 3 in this number? 728. 36​

Answers

Answer:

The place value of 3 is tens

the 3 is in the value of tens

Anne is visiting a friend who lives 18.5 km away. She travels 10 km by train, 1.5 km by bus, and walks the rest of the way. If she walks at a rate of 3.5 km per hour, for how long will Anne walk

Answers

Anne will walk a distance of 7 km, and she takes 2 hours to walk that distance.

For how long will Anne walk?

The total distance is 18.5 km.

She travels 10km by train and 1.5km by bus, for a total of 11.5km.

The distance that she walks is given by:

18.5km - 11.5km = 7km

So she walks for a distance of 7 km, at a speed of 3.5km per hour.

Remember the relation:

distance = time*speed

That can be rewritten to:

time = distance/speed.

Then the time that she walks is given by:

T = (7 km)/(3.5 km/hour) = 2 hours

She walks for 2 hours.

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Sin (5x-28) = cos (3x - 50)

Answers

By using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is:

Solve for X given that sin(5X - 28)° = cos(3X - 50)°.​

We have given:

sin(5X - 28)° = cos(3X - 50)°.

[tex]\rm \sin \left(5x-28\right)=\sin \left(\dfrac{\pi }{2}-\left(3x-50\right)\right)[/tex]

[tex]\rm \left5x-28\right= \left\dfrac{\pi }{2}-\left(3x-50\right)\right[/tex]

[tex]\rm x=\dfrac{4\pi n+156+\pi }{16}[/tex]     (n = 0, 1, 2, ...)

[tex]\rm x=\dfrac{\pi +4\pi n-44}{4}[/tex]

Thus, by using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.

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Which of the following equations have no solutions? Choose all Answers that apply

Answers

Answer:

B & D

Step-by-step explanation:

-4x+5=-4x-4

-4x+4x=-4-5

0=-1

So, it has no solution.

-4x+5=-4x-5

-4x+4x=-5+5

0=0

So, it has no solution too.

which of the followiing is not a function

Answers

Answer:

i think B i don't know but i only guess

What is the domain and range of the following graph?

Answers

Answer:

Domain is all x-values and range is all y values. See all of the x values and y values that are touching the graph. Also, when there is a circle/ hole, use parenthesis for the interval notation.  Hope it helps!

Area is all x - values and reach is all y - values. See the entirety of the x qualities and y esteems that are contacting the diagram. Likewise, when there is a circle use enclosure for the stretch documentation

It costs $20 a day to rent a car and $30 for a full tank of gas. If Stacy fills up the tank 3 times and has the car rented for 14 days, how much does she owe?

Answers

Answer:

$20 × 14 days = $280

&30 × 3 = $90

&280 + $90 = $370

Answer:

For car she owes=

$20 x 14 = $280

For tank she owes=

$30 x 3 = $90

Therfore in total she owes,

$280 + $90 = $370

CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!

Answers

Answer:0

Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0

What is the answer for 4x+1/3=20?

Answers

Answer:

x = 59/12

Step-by-step explanation:

4x + 1/3 = 20

4x = 20 - 1/3

12x/3 = 60/3 - 1/3

12x = 60 - 1

12x = 59

x = 59/12

Check:

4*59/12 + 1/3 = 20

236/12 + 4/12 = 20

240/12 = 20

Answer: x = 59/12

Step-by-Step Solution:

4x + 1/3 = 20
(4 * 3)x/3 + 1/3 = 20
12x/3 + 1/3 = 20
12x + 1 = 20 * 3
12x + 1 = 60
12x = 60 - 1
12x = 59
=> x = 59/12

Therefore, x = 59/12

Which expression is equivalent to (startfraction x superscript negative 4 baseline y over x superscript negative 9 baseline y superscript 5 baseline endfraction) superscript negative 2? assume x not-equals 0, y not-equals 0.

Answers

The equivalent expression of [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex] is [tex]x^{-10}y^8[/tex]

Complete question

Which expression is equivalent to [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]

Apply the exponent law of indices

[tex](\frac{x^{-9}y^5}{x^{-4}y})^{2}[/tex]

Next, we apply the common base law of indices

[tex](x^{4 -9}y^{5-1})^2[/tex]

Evaluate the difference

[tex](x^{-5}y^4)^2[/tex]

Remove bracket

[tex]x^{-10}y^8[/tex]

Hence, the equivalent expression of [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex] is [tex]x^{-10}y^8[/tex]

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Answer:

y^8/x^10

Step-by-step explanation:

The guy above me is right but just forgot to distribute the negative out of x. :)

What is -8/15 of 21/12

Answers

Answer:

-14/15

Step-by-step explanation:

"of" means multiply, thus:

-8/15 * 21/12

-8 * 21 / 15 * 12

-2 * 7 / 15

-14/15

Answer:

-14/15

Step-by-step explanation:

So first you need to get rid of the negative sign. Don't worry you will add it back later!

So, you will do

-8/15×21/12

Once you cross cancel, you will have

-2/5x7/3

That would be equivalent to

-14/15

That's your answer!

Hope this helped :)

Which of the following triangles are right triangles? Select all that apply.
Triangle A:
101
20
Triangle A
Triangle B
Triangle C
89
15
Triangle B:
113
110
20
Triangle C:
29
21
B

Answers

So there is a possibility I read it wrong, or you typed it wrong. but from what I see, there are NO right triangles.

Step-by-step explanation:

a right triangle has a 90 degree angle. none of these have one.

mulitiply both sides of this equation by r and use the fact that r2=x2+y2 to rewrite this equation in terms of x and y r=-6sin theta

Answers

The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

r³ = r(x² + y²)

( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)

216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]

Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

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For every pound a company spends on advertising, it spends £0.80 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.

Answers

The ratio of amount spent on advertising to the amount spent on its website in its simplest form is 0.5 : 0.4

Ratio

Amount spent on advertising = £1Amount spent on website = £0.80

Ratio of amount spent on advertising to the amount spent on its website

= £1 : £0.80

= 1 / 0.80

= 0.5 / 0.4

= 0.5 : 0.4

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please help I need so much help right now I feel like crying ​

Answers

Answer:

ok the first point there is (-4;-3)

the second point is(0;-6)

write out y=-4x-y……………

PLEASE ANSWER ASAP!!!!!!!!!!
The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.

Use the Sine tool to graph the function.

The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.

(please include a graph when you answer)

Answers

The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

What is sin function?

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

As we know the sin function is represented by:

y = Asin(Bx) + C

Here,

A = The amplitude  =  3

C = The vertical shift  = 1

B - The period in terms of π

B = 2π/amplitude

B = 2π/4

B = π/2

The becomes:  

[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

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what is the answer for this question

Answers

Answer:
288 minutes.(4.8 hours)
Step-by-Step-Explanation:
3 people can build a shed in 8 hours, so how long would it take 1 person to?
3 / 3 = 1
8 * 3 = 24

It would take one person 24 hours to build the shed alone.
24 hours to minutes -
24 * 60 = 1440

If 5 people were to build a shed
(1440 minutes / 5 people -(1440/5= 288))

It would take 5 people 288 minutes (4.8 hours) to build a shed


Explain how to use a graph of the function f(x) to
find f(3).

Answers

Answer:

here you go with your answer

can someone please help meee

Answers

Answer:

the y intercept is (0,2)

slope = -4

Step-by-step explanation:

from the graph the y intercept is (0,2) and we can consider it as p1

p2 (2,-6)

slope = y2-y1 / x2-x1

= -6 - 2/ 2 -0 = -8/2 = -4

Which best describes the data set? it is nonlinear because the ""total houses built"" column does not increase at a constant additive rate. it is nonlinear because the ""months passed"" column does not increase at a constant additive rate. it is nonlinear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" does not show a constant rate of change. it is linear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" shows a constant rate of change.

Answers

Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

:) hope you have a great day!

Sarah made a deposit of $100 into a savings account with 3
percent interest compounded annually. How much money will
the account yield in five years?
(The options are)
A:$97
B:$103
C:$115
D:$116

Answers

Answer: D, $116

Step-by-step explanation:

A = 100(1 + 0.03)^5

A = 100(1.03)^5

A = 100(1.1593)

A = 115.92

Hope this helped!

PLEASE HELP 20 POINTS
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point P.
A -105
B -75
C 75
D 105

Answers

Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point P at; D: 105°

How to Interpret Rotation of objects?

From the given image, If we connect points C of the blue quadrilateral to point C' of the rotated quadrilateral using the center of rotation P, then we will notice that ∠CPC' will be greater than 90°.

Now, the rotation is counterclockwise and it therefore means that the angle of rotation is will be positive and since ∠CPC' is greater than 90°, then we can say that the only correct option is Option D which is 105°

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2 Pretest: Unit 5
Question 19 of 27
Find the value of x that makes ABCD a parallelogram.
x+60°
70°
O A. x= 10°
OB. x= 30°
OC. X= 40°
OD. x = 50°
A
70°
x+60°
B

Answers

The value of x will be 50°. Then the correct option is D.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

Then the sum of the adjacent angle of the parallelogram is 180 degrees.

Then the value of x that makes ABCD a parallelogram will be

The one angle is x+60°.

Then the another angle will be 70°.

Then we have

x + 60° + 70° = 180°

       x + 130° = 180°

                  x = 50°

Then the correct option is D.

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Which expression is equivalent to √48x5, if x>0?
OA. 12x³√3x
OB. 4x³√3
OC. 4x²√3x
D. 12x²√x

Answers

Answer: C

Step-by-step explanation:

[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}}\sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]

Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument about inflation.

Support your claim with specific data presented by each of the candidates. Be sure to mention a minimum of one counterpoint, and refute this point with evidence.

Answers

Answer:

A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.

Step-by-step explanation:

The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.

In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.

In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.

On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.

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need help asap! Fill in the blank by entering just a number…

Answers

Answer:

i think it is 102

Step-by-step explanation:

first u solve the equation to find

then substitute and solve for at a tb

next just add them to find

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