The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.
How to calculate the percentage?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
To calculate the percentage part of number, multiply it with the original number and divide with 100.
Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,
[tex]r=\dfrac{1}{45.897}[/tex]
Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,
[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]
The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,
[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]
Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Set 1: 6
Set 2: 4.5
Step-by-step explanation:
To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.
Repeat this process for set b. For this one you would get 4.5
The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.
Answer:2x+(x+17)+(x-21)=180
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
How to create an equation to determine the angles?The given parameters are:
P = 2x
Q = x + 17
R = x - 21
The sum of angles in a triangle is 180.
So, we have:
P + Q + R = 180
Substitute known values
2x + x + 17 + x - 21 = 180
Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
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Select the reason that best supports Statement 6 in the given proof.
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.
The length of the hypothenuse or the value of x is equal to 19.53
This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.
Data;
hypothenuse = xadjacent = 11.2opposite = 16Pythagoras's TheoremTo solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.
The formula for this is
x^2 = y^2 + z^2
Let's substitute the values and solve for the missing side.
[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]
The length of the hypothenuse or the value of x is equal to 19.53.
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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE
Answer:
∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
The additional information to prove that ΔXYZ ≅ ΔFEG using ASA or AAS
is ∠Z ≅ ∠G and XY ≅ FE
Option E is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔXYZ ≅ ΔFEG
We see that,
∠X and ∠F are equal
To prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
We need one more congruent angle and one corresponding side.
∠Z ≅ ∠G and XY ≅ FE can be used to prove this.
Now,
∠X = ∠F (angle) (given)
∠Z ≅ ∠G (angle)
XY ≅ FE (side)
ΔXYZ ≅ ΔFEG
Thus,
The additional information is:
∠Z ≅ ∠G and XY ≅ FE
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Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
The 400-meter race times recorded in the boys track meet was normally distributed with a standard deviation of 3 seconds If David finished the race in 51.2 seconds with a -score of -2.6 , what was the mean time ?
Answer:
7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th
What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 80 degrees?
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]
Someone help me please
The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.
Answer:
66
Step-by-step explanation:
It's given that
Tn = 5n + 16
The 10th term is
T10 = 5(10) + 16
= 66
The 10th term of the sequence is 66.
What is Sequence?In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.
We have the rule: 5n + 16
Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:
5n + 16 = 5(10) + 16 = 50 + 16 = 66
Therefore, the 10th term of the sequence is 66.
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please help me I need help please
Answer:
p = 4
Step-by-step explanation:
Given equation:
[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]
Standard equation of a circle:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)
If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.
Therefore, [tex]p-3=1[/tex]
[tex]\implies p=1+3=4[/tex]
Additional information
To rewrite the given equation in the standard form:
[tex]\implies x^2+y^2-4x+6y-16=0[/tex]
[tex]\implies x^2-4x+y^2+6y=16[/tex]
[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]
[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]
[tex]\implies (x-2)^2+(y+3)^2=29[/tex]
So this is a circle with centre (2, -3) and radius √29
This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?
Answer:
Step-by-step explanation:
Finding the angles of quadrilateral:
Sum of all angles of quadrilateral = 360
2x + 10 + 3x + 3x + 5 + 5x +20 =360
2x + 3x + 3x + 5x + 10 + 5 + 20 = 360
Combine like terms
13x + 35 = 360
Subtrace 35 from both sides
13x = 360 - 35
13x = 325
Divide both sides by 13
x = 325/13
x = 25
5x +20 = 5*25 +20
= 125 +20
= 145°
Measeure of largest angle : 145°
bro i need help with this 8th grade math work
Answer:
look it up
Step-by-step explanation:
The solution of system of equations is (3.5, 3.5).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)
6x+4-8=4x+10
6x-4=4x+10
6x-4x=10+4
2x=14
x=7
Therefore, the value of x is 7.
3) y=3x-7 -------(i) and -y=x-7 -------(ii)
Substitute equation (i) in equation (ii), we get
-(3x-7)=x-7
-3x+7=x-7
x+3x=7+7
4x=14
x=14/4
x=3.5
Substitute x=3.5 in equation (i), we get
y=3×3.5-7
y=10.5-7
y=3.5
So, the solution is (3.5, 3.5)
4) Production of chairs from Anthony
(2, 10) and (5, 25)
Here, m=(25-10)/(5-2)
= 15/3
= 5
Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get
10=5(2)+c
c=0
Substitute m=5 and c=0 in y=mx+c, we get y=5x
Production of chairs from Billy
(1, 2) and (4, 8)
Here, m=(8-2)/(4-1)
= 6/3
= 2
Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get
2=2(1)+c
c=0
Substitute m=2 and c=0 in y=mx+c, we get y=2x
When y=18
Production of chairs from Billy 18=5x
x=3.6
When y=18
Production of chairs from Anthony
18=2x
x=9
Therefore, the solution of system of equations is (3.5, 3.5).
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A bag contains an unknown number of marbles. You know that P(red) = 1 and P(green) = 1. What can you conclude about how many marbles are in the bag?
The number of marbles in the bag illustrates probability
The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble
The number of marbles in the bag?The probabilities are given as:
P(Red) = 1
P(Green) = 1
For a distribution, the sum of all probabilities must equal to 1.
This means that:
P(Red) + P(Green) = 1
So, we have:
1 + 1 = 1
This gives
2 = 1
The above equation is false because 2 does not equal to 1.
So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag
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2(3/5x+3). How would I get that answer
Answer: [tex]\frac{6}{5}[/tex]x + 6
Step-by-step explanation:
We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.
Given:
2(3/5x+3)
Distribute:
2 * (3/5x) + (2 * 3)
6/5x + 6
Answer:
[tex]\frac{6}{5}[/tex]x + 6
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.
The voltage difference for an outlet will be 140 volts.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For an outlet,
Current (I) = 10 ampere
Resistance (R) = 14 ohms
Now,
Since, We know that;
The current is the ratio of the potential difference and resistance.
That is,
⇒ I = V / R
⇒ V = I R
Thus, Substitute all the values, we get;
⇒ V = I R
⇒ V = 10 x 14
⇒ V = 140 Volts
Therefore, The voltage difference for an outlet will be 140 volts.
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What is the value of the following expression?
23 + 5 • (10 - 9) - 12
Answer:
16
Step-by-step explanation:
Use the method of PEMDAS (Parenthesis, Exponent, multiplication, division, addition and then subtraction.)
When using this order you would do 10-9 first
23 + 5 * (10-9) - 12
23+ 5 * 1 - 12
then 5 times 1
23 + 5 * 1 - 12
23 + 5 - 12
then 23 + 5 and subract 12 from the solution
23 + 5 - 12
28 - 12 =
16
Where is the blue dot on the number line?
Answer:
-2.1
Step-by-step explanation:
its a 0.1 step.
hope you understand
Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work
Answer:
What's the complex name
Pd(co2) (me3p)2
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
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The population of a town is expected to grow by 6% each year.
In 2017 the population was 27,000.
What will the be population in 2018?
Answer:
28620
Step-by-step explanation:
→ Find the multiplier
( 100 + 6 ) ÷ 100 = 1.06
→ Multiply by the original amount
27000 × 1.06 = 28620
9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm
Answer:
6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6
now find the Area and Perimeter of the enlarged triangle:
A = 1/2bh
A = 1/2 * 9.6 * 8.4
A = 40.32
P = a + b + c
P = 7.2 + 7.2 + 9.6
P = 24
So, the Area is 40.32 and the Perimeter is 24.
A game at the fair involves ping-pong balls numbered 1 to 18. you can win a prize if you correctly choose the 5 numbers that are randomly drawn. what are your chances of winning?
Answer:
5/18
Step-by-step explanation:
Here,
total numbering balls n(S) = 18
total number of winning balls n(B) = 5
Therefore,
Probability or winning chances P(B)=
n(B)/n(S)
= 5/18
the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
9. A cooler contains 4.5 gallons of water and is filling up
at a rate of 0.1 gallons per second. A second cooler
contains 7 gallons of water and is draining at a rate of
0.25 gallons per second. Which could be used to
determine the number of seconds it would take for each
cooler to contain the same amount of water?
The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.
When the coolers would have the same amount of water?Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t
Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t
Where t represents seconds
When they have the same amount of water, the two above equations would be equal
4.5 + 0.1t = 7 + 0.25t
Combine similar terms
7 - 4.5 = 0.1t - 0.25t
2.5 = 0.75t
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Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?
Answer:
Late because 12 were on time so 5 would be late
What does 48906478×78955680 equal to
Answer:
3861444226895040
Step-by-step explanation:
You do not want to know.
Does anyone know if this is right?
In the diagram below, m//n. Select all of the angles that are congruent to 21
Not sure about Angle. 13