Write the percent as a fraction and as a decimal.
3
-%
15
What is the fraction equivalent?
(Type a whole number, fraction, or mixed number.)
Answers
(a) The fraction for the given percentage is 3% = 3/100 and its decimal number is 0.03.
(b) The fraction for the given percentage is 15% = 15/100 = 3/20 and its decimal number is 0.15.
Here the fractions 15/100 and 3/20 are equivalents.
What are equivalent fractions?Two fractions whose numerators and denominators are different but whose value is the same are said to be equivalent fractions.
For example, a/b = k and c/d = k. Then a/b = c/d.
The fractions a/b and c/d are equivalent fractions.
Calculation:Given percentages are 3% and 15%.
A percentage is a ratio of the parts in the whole of 100 parts.
So, 3% = 3/100
This is nothing but a fraction.
To convert it into decimals, divide the numerator by the denominator. So, we get 3/100 = 0.03.
Similarly, for 15%, the fraction is 15/100
This fraction when divided by 5 in both numerator and denomiantor, we get (15/5)/(100/5) = 3/20
So, the fraction 3/20 is the equivalent fraction for the fraction 15/100 Since their values are the same i.e., 0.15. Thus, the decimal number for those fractions is 0.15.
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Related Questions
find the product of 12 0.6 and 6 1/4
Answers
Answer:
17 because you have to sutract them
Step-by-step explanation:
The information below contains information on Country \( \mathrm{A} \). What is the amount of imports? RM800 million RM135 million RM175 million RM575 million
Answers
The net amount of imports is RM 175 million of GDP of Country A. Option C is the correct answer.
The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.
Calculation:
GDP= 1250Consumer Spending = 500Investment Spending = 350Govt Spending = 350Export = 225Import = xGDP = personal consumption + gross investment + govt consumption + net exports + imports
1250 = 500 + 350 + 350 + 225-x1250 = 1425 - xx = 1425- 1250Therefore, Import = 175
Here the total amount of imports is RM 175 million. Therefore, Option C is the correct answer.
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The complete question is, "The information below contains information on Country A.
RM(in millions)
Gross Domestic Product 1250
Consumer Spending 500
Investment Spending 350
Govt Spending 350
Export 225
What is the amount of imports?
A. RM 800 million
B. RM 135 million
C. RM 175 million
D. RM 575 million"
Find the perimeter of the figure.
Answers
Answer:
25.2
Step-by-step explanation:
I think this is the answer because I added all the sides and got this
Answer:
25.2 is the answer.
Step-by-step explanation:
what is the tenth term in the sequence 1 3 5 7
Answers
Answer:
10th term = 19
Step-by-step explanation:
Given is an arithmetic sequence. Each term of the arithmetic is obtained by adding 2 to the previous term.
n = 10
common difference = d = second term - first term
= 3 - 1
d = 2
a = First term = 1
\(\boxed{T_n = a+ (n-1)d}\)
\(\sf T_{10}= 1 + (10 -1)*2\)
= 1 + 9 * 2
= 1 + 18
= 19
out of 240 racers who started the marathon, 209 completed the race, 22 gave up, and 9 were disqualified. what percentage did not complete the marathon?
Answers
The percentage of racers that did not complete the marathon is 12.9 %
What is arithmetic?
Arithmetic is an elementary a part of mathematics that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots
Main Body:
Total racers = 240
racers that completed race = 209
so racers that did not complete the marathon = 240 - 209
= 31
percentage of racers that did not complete the marathon = (31/240)*100
= 12.9 %
Hence percentage of racers that did not complete the marathon is 12.9%
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What is the formula for finding the surface area of a hexagonal prism?
Answers
The Formula for finding the surface area of hexagonal prism is written as \(6sh + 3\sqrt{3} s^{2}\) .
What is a Hexagonal Prism ?
A hexagonal prism is a type of prism which contains a hexagonal base and top .
(i) The hexagonal prism contains two hexagons where one is base and other on top and it has 6 rectangles that connects the hexagonal faces .
(ii) The hexagonal prism has 12 vertices , 8 faces and 18 edges .
Let the side of the hexagonal base of the hexagonal prism be = s ;
let height of hexagonal prism be denoted by "h" ;
So , Surface Area of hexagonal prism = \(6sh + 3\sqrt{3} s^{2}\) .
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G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.
Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?
6
7
20
59G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.
Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?
6
7
20
59
Answers
Answer:7
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
7
a writer wrote 10,010 words for his book on the first day of writing. he wrote 9,760 words on the second day, 9,510 words on the third day, and continued this way in an arithmetic sequence. write an explicit rule showing the equation for the number of words the writer would write on the 14th day, and solve.
Answers
Answer:
rule: an = 10010 -250(n -1)day 14: 6760 wordsStep-by-step explanation:
The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.
Formula for Arithmetic SequenceThe explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...
\(a_n=a_1+d(n-1)\)
ApplicationFor first term a₁ = 10010 and common difference d = -250, the explicit rule is ...
\(a_n=10010-250(n-1)\)
On day 14, n=14, and the number of words written is ...
\(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)
The writer would write 6760 words on the 14th day.
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. if beth places the swings at point d, how could she prove that point d is equidistant from the jungle gym and monkey bars? if segment ad ≅ segment cd, then point d is equidistant from points a and b because congruent parts of congruent triangles are congruent. if segment ad ≅ segment cd, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. if m∠acd = 90° then point d is equidistant from points a and b because congruent parts of congruent triangles are congruent. if m∠acd = 90° then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
Answers
The angle bisector theorem states that a triangle's opposite side is divided into two halves by an angle bisector that is proportional to the triangle's other two sides.
A point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects, therefore if mACD = 90°, point D is equidistant from points A and B.
Any point on the perpendicular bisector is simply equal distance from both endpoints of the line segment on which it is drawn, according to the perpendicular bisector theorem.
The answer is that point is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it makes up. Therefore, if a pillar is stationed at the middle of a bridge at an angle, all the points on the pillar will be equidistant from the end points of the bridge intersects.
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Find the measure of A
Options
-14
63
96
44
I need help ASAP
Answers
Answer:
Step-by-step explanation:because all angles in a triangle add up to 180° 100°+30°=130° 180°-130°=50°
A coin is tossed 3 times. Find the probability of getting exactly two head
Answers
In this problem, we have a binomial probability distribution
so
n=3
p=0.50
q=0.50
Find out P(X=2)
\(P(X=2)=\frac{3!}{2!(3-2)!}*0.50^2*0.50^{(3-2)}\)P(X=2)=0.375What is the value of x?
Answers
Answer:
9
Step-by-step explanation:
3(9) = 27-20= 7
Which is about accurate
I need to write a equation for this graph
Answers
Answer:
y= 2x + -2
Step-by-step explanation:
anyone ?????????????
Answers
Answer:
g(4) = 8
g(6) = 12
Step-by-step explanation:
come on dude, easier than that?
QUESTION 3 Find the general solutions of the following differential equations using D-operator methods: -2x 3.1 (D² −5D+6)y= e¯ + sin 2x (8) 3.2 (D² + 2D + 4) y = e²x sin 2x (8) [16]
Answers
To find the general solutions of the given differential equations using D-operator methods, we will use the fact that D-operator (D) represents differentiation with respect to x.
3.1 For the differential equation (D² - 5D + 6)y = e^(-x) + sin(2x), we can factorize the characteristic equation as (D - 2)(D - 3)y = e^(-x) + sin(2x). Solving each factor separately, we have: (D - 2)y = e^(-x) => y₁ = Ae^(2x) + e^(-x) (where A is a constant). (D - 3)y = sin(2x) => y₂ = Bsin(2x) + Ccos(2x) (where B and C are constants). The general solution is y(x) = y₁ + y₂ = Ae^(2x) + e^(-x) + Bsin(2x) + Ccos(2x).
3.2 For the differential equation (D² + 2D + 4)y = e^(2x)sin(2x), the characteristic equation is (D + 2i)(D - 2i)y = e^(2x)sin(2x). Solving each factor separately, we have: (D + 2i)y = e^(2x)sin(2x) => y₁ = Ae^(-2ix)e^(2x)sin(2x) = Ae^(2x)sin(2x)
(D - 2i)y = e^(2x)sin(2x) => y₂ = Be^(2ix)e^(2x)sin(2x) = Be^(2x)sin(2x)
The general solution for the first differential equation is y(x) = Ae^(2x) + e^(-x) + Bsin(2x) + Ccos(2x), and the general solution for the second differential equation is y(x) = Ae^(2x)sin(2x) + Be^(2x)sin(2x), where A, B, and C are constants.
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-5y plus 4 equals -11
Answers
The equivalent value of the expression is y = 3
Given data ,
Let the expression be represented as A
Now , the value of A is
A = -5y plus 4 equals -11
-5y + 4 = -11
Adding 5y on both sides , we get
5y - 11 = 4
Adding 11 on both sides , we get
5y = 15
Divide by 5 on both sides , we get
y = 3
Hence , the expression is y = 3
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8 and 9 explain how you got the answer
Answers
Step-by-step explanation:
8.) a^2 - ( a^2-b^2)
==> b^2
Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years
Plz help!!!!
Answers
Answer: Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Answer:
Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Thank you!
. (10 pts) use spherical coordinates to find the value of the integral r r r d z dv over the hemisphere x2 y2 z2
Answers
On solving the provided question, we can say that - given integral \(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) where E is solid hemisphere, \(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) = 162\(\pi\)/5
What are integrals?In mathematics, integrals translate integers into functions that express notions like displacement, area, and volume that result from the aggregation of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas. The main goal of calculus is to work with derivatives and integrals. Primitives and inverse derivatives are other terms for integral.
Given integral \(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) where E is solid hemisphere \(x^2 + y^2 z^2 \leq 9\) and \(z \geq 0\).
In spherical coordinates we have x = pcos∅sinФ, y = pcosФsin∅ and z = pcosФ
\(p^2 = x^2 + y^2 z^2\)
\(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) = 162\(\pi\)/5
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does anyone have any questions that need help and will give brainlyest. i only need 3 brainlyest
Answers
Answer:
Sure
Step-by-step explanation:
A triangular pathway in a park is shown below. what is the approximate total length of the path ( the perimeter of the triangle)? Round answer to the nearest hundreth
Answers
The perimeter of the triangle is given by the equation P = 42.588 m
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the perimeter of the triangle be represented as P
Let the right triangle be represented as ABC
Now , the hypotenuse of the triangle is AC = 18m
And , the measure of ∠ACB = 30°
From the trigonometric relations ,
Let the angle be θ , such that
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin 30° = AB / 18
On simplifying the equation , we get
Multiply by 18 on both sides of the equation , we get
sin 30° = 1/2
AB = 18/2
The opposite side of the triangle AB = 9 m
Now , the base of the triangle BC is calculated from Pythagoras theorem
hypotenuse² = base² + height²
So , base BC² = ( 18 )² - ( 9 )²
The base of the triangle BC = √ ( 324 - 81 )
The base of the triangle BC = 15.588 m
Now , the perimeter of the triangle P = opposite side of the triangle AB + base of the triangle BC + hypotenuse of the triangle AC
The perimeter of the triangle P = 18 + 9 + 15.588
The perimeter of the triangle P = 42.588 m
Hence , the perimeter of the triangle is 42.588 m
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To which subset of the real number system does the number 1.5¯¯¯ belong?
Answers
The subset of the real number system that the number 1.5¯(repeating decimal) belong to is rational numbers.
What are rational numbers?
A rational number serves as a number that is expressed as the ratio of two integers, and the denominator of it will not be equal to zero.
Therefore, from 1.5¯ = 1.555555555 The subset of the real number system that the number 1.5¯(repeating decimal) belong to is rational numbers.
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What is the slope of a horizontal line that passes through the point (3,-7)?
Answers
Answer:
The slope of any horizontal line is 0.
Step-by-step explanation:
All horizontal lines have the same slope. The slope of any horizontal line is zero.
You can remember this because lines that go up (from left to right) have positive slope. The number gets smaller as the line gets flatter. Then the horizontal line has zero slope. Then lines that go down (from left to right) have negative slope.
If you need the equation of the horizontal line through (3,-7). That is y = -7
The equation of a horizontal line is "y=anumber". In the point (x,y) the 3 is the x and the -7 is the y.
y = -7
Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
2.2%
Step-by-step explanation:
Use the percent error formula:
% error = | (approx - exact) ÷ approx | x 100
Plug in the approx. and exact values:
| (8.9 - 8.7) ÷ 8.9 | x 100
| (0.2) ÷ 8.9 | x 100
= 2.2
So, the percent error is 2.2%
Answer:1.2%
Step-by-step explanation:
∣experimental−actual∣
×100
The formula
∣
8.7
−
8.6
∣
8.6
×
100
8.6
∣8.7−8.6∣
×100
Plug in values
∣
0.1
∣
8.6
×
100
8.6
∣0.1∣
×100
Subtract
0.1
8.6
×
100
8.6
0.1
×100
Take the absolute value
0.0116279
×
100
0.0116279×100
Divide
1.16279
1.16279
Multiply by 100
1.2
%
1.2%
Maria and Tran each have a pet hamster. They have a maze for the
hamsters to run through. Maria says she thinks her hamster can run through the maze faster than Tran’s. They each time their hamster as it runs through the maze. It takes Maria’s hamster 19 seconds to travel through the maze. It takes Tran’s hamster 15 seconds. Which hamster is faster? Explain how you know. How much faster is the faster hamster compared to the slower hamster at running through the maze? Explain your answer.
help??
Answers
Answer:
Tran's hamster is faster as it took his hamster 19 seconds which is 4 seconds faster than Maria's hamster. I know this because the data shows Maria's hamster took 19 second and Tran's took 15 seconds to run through the maze hence Maria's hamster was slower and Tran's won. You can use the calculation 19-15=4 so the difference is 4.
What is the radius of a hemisphere with a volume of 8231 cm", to the nearest tenthof a centimeter?
Answers
Answer:
The radius of the Hemisphere is 15.8 cm.
\(r=15.8\operatorname{cm}\)Explanation:
The formula for the volume of an hemisphere can be written as;
\(V=\frac{2}{3}\pi r^3\)Given that the volume of the hemisphere is;
\(8231\operatorname{cm}^3\)We can get the radius of the hemisphere using the formula above.
Firstly let us make r the subject of formula;
\(\begin{gathered} V=\frac{2}{3}\pi r^3 \\ \text{multiply through by 3/2} \\ \frac{3}{2}V=\pi r^3 \\ \text{divide through by pi} \\ \frac{3}{2}\frac{V}{\pi}=r^3 \\ \text{cube root both sides} \\ \sqrt[3]{\frac{3}{2}\frac{V}{\pi}}=r \\ r=\sqrt[3]{\frac{3}{2}\frac{V}{\pi}} \end{gathered}\)Lastly let us substitute the given volume V into the derived formula for radius r.
\(\begin{gathered} r=\sqrt[3]{\frac{3}{2}\frac{V}{\pi}} \\ r=\sqrt[3]{\frac{3\times8231}{2\times\pi}}=\sqrt[3]{\frac{24693}{2\times\pi}} \\ r=15.78\operatorname{cm} \\ r=15.8\operatorname{cm}\ldots\ldots.(to\text{ the nearest tenth of a centimeter)} \end{gathered}\)Therefore, the radius of the Hemisphere is 15.8 cm.
\(r=15.8\operatorname{cm}\)What is 2 1/2 divided by 2 1/6
Answers
Answer:
15 /13 = 1 2 /13
Hope that helps
Arjun and Gretal each pay rent. In 2018, the ratio of the amount each paid in rent was Arjun : Gretal In 2019, the ratio of the amount each paid in rent was Arjun : Gretal = 5:7. = 9:13. Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.
Answers
Answer:
$6525
Step-by-step explanation:
I rewrote the problem before because the ratios are not clear in the given problem.
------------------------------------------------------------------------------------------
Arjun and Gretal each pay rent.
In 2018, the ratio of the amount each paid in rent was Arjun:Gretal=5:7.
In 2019, the ratio of the amount each paid in rent was Arjun:Gretal=9:13.
Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.
------------------------------------------------------------------------------------------
2018: Arjun/Gretal = 5x/7x
2019: Arjun/Gretal = 9y:13y
5x = 9y
13y = 7x + 290
Solve the first equation for x. Substitute in second equation.
x = 9y/5
13y = 7(9y/5) + 290
Multiply both sides by 5.
65y = 63y + 1450
2y = 1450
y = 725
In 2019, Arjun's rent was 9y.
9y = 9(725) = 6525
Answer: $6525
Check:
Solve for x.
x = 9y/5 = 9(725)/5 = 1305
Now we find Arjun's and Gretal's rents in both 2018 and 2019.
2018: Arjun 5x = $6525; Gretal 7x = $9135
2019: Arjun 9y = $6525; Gretal 13y = $9425
Arjun's rent is the same in both 2018 and 2019 as the problem states.
Gretal's rent is $290 more in 2019 than in 2018 since $9425 - $9135 = $290.
This confirms the answer $6525 is correct.
Help me on this question please
Answers
The measure of angle DAB in the given quadrilateral can be calculated as: 109°.
How to Find the Measure of an Angle in a Quadrilateral?To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.
Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.
Thus, we have:
m<DAB = 360 - (90 + 97 + 64)
m<DAB = 360 - 251
m<DAB = 109°
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The variables x and y vary inversely. Use the given values to write an equation relating x and y . Then find y when x=−3 .
x = 1, y = 5
The equation is y =
Answers
Step-by-step explanation:
to vary inversely means that
y = k/x
the opposite would be to vary directly :
y = kx
so, in our case
5 = k/1
k = 5
y = 5/x
therefore, for x = -3
y = 5/-3 = -5/3 = -1.666666666...