Compare 4/5, 8/10, and 12/15 using ratios

Answers

Answer 1

On simplifying the equation this show that the ratio are equal:

4/5 = 4/5 = 4/5 .

What is the relationship between two ratios?

To obtain the comparative ratio, find the LCM of both the consequents of both ratios, divide the LCM with both the consequents and then multiply the numerator and denominator of both ratios with the answer.

What does the ratio formula mean?

The ratio is a relationship between the amounts of two or more things that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for just about any two quantities, say a and b.

According to the given data:

4/5, 8/10, and 12/15

dividing the ration to simplify it:

4/5, 8/10, and 12/15

8/10 = 4/5 on dividing by 2

12/15 = 4/5 on dividing by 3

So,

On simplifying the equation this show that the ratio are equal:

4/5, 8/10, and 12/15

4/5 = 4/5 = 4/5 .

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Related Questions

Write the equation of a line that is parallel y = 4x - 7 and goes through the point (4,1).

Answers

The equation of a line that is parallel to y = 4x - 7 and goes through the point (4,1) is y = 4x - 15.

How do we find the equation of a line when two lines are parallel?We can infer that the two lines are parallel because they are distinct and share the same slopes. We can determine whether any two lines are parallel using this characteristic.Then we determine the equation of the line by point-slope form.A point on the line and the slope of the line are required in the point-slope version of the equation of a line. The line's slope is m, and the referred point on the line is (x₁,y₁).

Given line: y = 4x - 7

Slope of line m₁ = 4

Two lines are parallel lines when the slopes of the lines are the same.

so, m₁ = m₂

m₂ = 4

Now, the equation of a line with slope 4 and passing through the point (4,1) is:

⇒ y - y₁ = m (x - x₁)

⇒ y - 1 = 4(x - 4)

⇒ y - 1 = 4x -16

⇒ y = 4x - 15

Hence the equation of a line that is parallel to y = 4x - 7 and goes through the point (4,1) is y = 4x - 15.

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The length of a rectangle parking area is three times the width.The perimeter is 280 yd.Find the length and width of the parking are.

Answers

Answer:

length = 105 yd

width = 35 yd

Step-by-step explanation:

Let L = length and W = width.

L = 3W

perimeter = 2(L + W)

280 =2(L + W)

L = 3W

We have a system of 2 equations. Let's use the substitution method to solve it. Substitute 3W for L in the first equation.

280 = 2(3W + W)

140 = 4W

W = 35

L = 3W = 3(35) = 105

length = 105 yd

width = 35 yd

7x-2y-10x+5+8y simplified please show steps

Answers

Answer:-3x-10y+5

Step-by-step explanation:

7x-2y-10x+5+8y

-3x-2y+5-8y

-3x-10y+5

which number is irrational an integer and a real number?

A.0
B. there is no such number
C.-4/2
D. 4

Answers

Answer:

B

Step-by-step explanation:

None of the provided options are irrational. Irrational numbers are those which cannot be expressed as the ratio of two integers. In other words, if represented in decimal form, they would continue indefinitely after the decimal point, such as the value of π. This also means, by definition, they cannot be both irrational and an integer.

They are all real numbers as they can represent a distance along a line (they could all be plotted on a number line or graph, for instance).

Only 0 and 4 out of the provided options are integers (whole numbers). As mentioned above, all integers are rational by definition.

I hate my school for giving me all of this in one day <3

Answers

Answer:

A.

Step-by-step explanation:

[tex]0.75 > 7/12(0.58)[/tex]

Answer:

A

Step-by-step explanation:

0.58= 7/12 so 0.75 is more then -.8 so that is true.

If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer?

Answers

Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x  that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.

Step-by-step explanation:

A school board member surveys parents to learn how they feel about the new school boundaries. What are a random sample and a non-random sample for this situation?

Answers

A random sample and a non-random sample for this situation are given below:

Mrs.Donovan could have taken opinions from the first 50 parents to answer.Mr.Giles could have taken 10 Parents from each grade in the school and used that as his example.What is a Random Sample?

This refers to the statistical population where there is an equal chance of being selected by members of a population.

Hence, we can see that a random sample and a non-random sample for this situation are given above and this shows that each of them have equal chances of being selected (random sampling)

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Which number sentence is true?
PLEASE HELPP

Answers

It's D I was finished solving
Lmk if it helps

Find the points on the curve y = 2x3 + 3x2 − 12x + 3 where the tangent line is horizontal.

Answers

the tangent is only horizontal at the critical points of the equation, so

[tex]y=2x^3+3x^2-12x+3\implies \cfrac{dy}{dx}=6x^2+6x-12\implies \cfrac{dy}{dx}=6(x^2+x-2) \\\\\\ \stackrel{\textit{setting the derivative to 0}}{0=6(x^2+x-2)}\implies 0=x^2+x-2 \\\\\\ 0=(x+2)(x-1)\implies \boxed{x= \begin{cases} -2\\ 1 \end{cases}} \\\\[-0.35em] ~\dotfill\\\\ y=2(-2)^3+3(-2)^2-12(-2)+3\implies y=-16+12+24+3\implies \boxed{y=23} \\\\\\ y=2(1)^3+3(1)^2-12(1)+3\implies y=2+3-12+3\implies \boxed{y=-4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \text{\LARGE (-2~~,~~23)\qquad (1~~,~~-4)}~\hfill[/tex]

9
)
14+(−9)+(−9)14, plus, left parenthesis, minus, 9, right parenthesis, plus, left parenthesis, minus, 9, right parenthesis.

Answers

The value of (9)14+(−9)+(−9)14 is -9

The concept is used to Solve is BODMAS

(9)14+(−9)+(−9)14

126-9-126=-9

BODMAS, also known as the order of operations, is a series of operations in an arithmetic statement. Math is all about logic and certain common principles that help us with our calculations. So BODMAS is one of the basic principles for simplifying multi-operator formulations.

An expression or equation in arithmetic has two components:

Numbers \Operators

A character that combines two integers to form an expression or equation is known as an operator. The most popular operators in mathematics are Addition (+), Subtraction (-), Multiplication (), and Division (). Finding the solution to mathematical statements or equations with only one operator is rather straightforward.

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Write an equation of a parabola in vertex form. Vertex (0,-3) and passes through (-8,5)​

Answers

The equation of the parabola that has vertex (0, -3) and also passes through the point (-8,5) is y = -1(x - 0)² - 3.

The vertex form of the equation of a parabola is:

y = a(x-h)² + k

where the vertex = (h, k)

The given vertex, (h, k) = (0, -3)

The line passes through the (-8, 5)

x =  -8,  y  =  5

Substitute x = -8, y = 5, h = 0, y = -3 into the equation to solve for a

y = a(x - h)² + k

 5 = a(-8-0)² + (-3)

 5 = a(-8)² - 3

-8a = 5+3

-8a = 8

  a = 8/-8

  a = -1

Substitute a = -1, h = 0, k = -3 into y = a(x - h)² + k

y = -1(x - 0)² - 3

The equation of the parabola that has vertex (0, -3) and also passes through the point (-8,5) is y = -1(x - 0)² - 3

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T(x,y,z)=x^2yz^3 với M(1,1,1)

Answers

Answer:

A= (2xy^2)^3. (-1/2x^2yz) (gạch chéo là phần)

B=(-4x3y2z)(  x2y3)3xy

Step-by-step explanation:

ok :)

If DF=9c -39 then x = and DF =

Answers

Answer: x=16

DF=105

Step-by-step explanation:

DF=DE+EF
9x-39=47+3x+10

9x-39=57+3x

9x=96+3x

6x=96

x=16

DF=9x-39

DF=9(16)-39

DF=144-39

DF=105

benjamein writes an expression for the sum of 1 cubed, 2cubed and 3 cubed. what is the value of the expression

Answers

The expression for the sum of 1 cubed, 2cubed and 3 cubed is 1² + 2³ + 3³ and the value is 36.

How to compute the value?

It should be noted that the information is to find the expression for the sum of 1 cubed, 2cubed and 3 cubed.

This will be:

= 1³ + 2³ + 3³

= 1 + 8 + 27

= 36

Therefore, the correct answer is 36.

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If the measure of angle is 3pi/4 , which statements are true?

Answers

If the measure about an angle is 3pi/4, the sentences are:

sinθ = sin135 = √2/2cosθ = cos135 = √2/2

The correct option are A , D.

What is a trigonometric function?

a function of an arc or angle represented most simply in terms of the ratios of pairs of sides of a right-angled triangle (such as the sine, cosine, tangent, cotangent, secant, or cosecant). also known as a circular function.

Why do we utilize trigonometric functions?

Trigonometry is used to set directions such as north, south, east, and west; it tells you which direction to go using the compass to get on a straight path. It is used in trace to locate a location. It is also used to determine the distance between the shore and a point in the water.

According to the given data:

Investigation trigonometric function:

θ = 3π/4

= 3/4 * 180

= 135

tanθ = sin135/cos135

        = -1

sinθ = sin135 = √2/2

cosθ = cos135 = √2/2

The reference angle for stuff in Q2 is 180 - theta = 180 - 135 = 45 degrees.

If the measure about an angle is 3pi/4, the sentences are:

sinθ = sin135 = √2/2

cosθ = cos135 = √2/2

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I understand that the question you are looking for is:

If the measure of angle 0 is 3pi/4 which statements are true (multiple choice)

A. sin(0)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(0)=sqrt2/2

F. tan(0)=1

Ava has a part-time job at a store. She earns a weekly salary. She also
earns a $0.60 bonus for each gift card she sells. The expression
65 +0.60g shows Ava's total weekly earnings. Identify any variables,
Defficients, and terms in the expression. Tell what each represents.

Answers

Based on the given expression, the parameters are:

The variable = gThe coefficient = 0.60The constant = 65

Algebra

This is a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols, that is substituting one thing for another.

Given expression: 65 + 0.60g

Bonus for each gift card = $0.60Weekly salary = $65Number of gift cards sold = g

From the expression:

The variable = gThe coefficient = 0.60The constant = 65

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in the diagram, CD || EF, G, -70° and HI - HG. Calculate the values of x, y and z ​

Answers

The measures of the angles are x = 40, x = 110 and y = 70

What are angles?

Angles are formed when two or more lines intersect

How to calculate the values of x, y and z?

The figure represents the given parameters

On the figure, we have the following highlights

Angle 3 and angle y are corresponding angles.

Corresponding angles are congruent

So, we have

y = Angle 3

From the figure

Angle 3 = 70

So, we have

y = 70

The angle on a straight line is 180 degrees

So, we have

x + y = 180

This gives

x + 70 = 180

Evaluate the like terms

x = 110

The triangle is an isosceles triangle.

So, we have

y = Angle 2

This means that

Angle 2 = 70

The sum of angles in a triangle is 180

So, we have

z + y + Angle 2 = 180

This gives

z + 70 + 70 = 180

Evaluate

z = 40

Hence, the measures of the angles are x = 40, x = 110 and y = 70

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The sum of three consecutive even integers is 312. Find the integers.
OA. 103, 104, 105
OB. 100, 102, 104
OC. 104, 106, 108
D. 102, 104, 106

Answers

The total of three consecutive even numbers is 312.

The correct option is A.

Briefing:

Three numbers totaling 312 are consecutive, one of which being 104. Take one of the other numbers from 104=103 and add one to 104=105 for the third.

103 + 104 + 105 = 312.

What are consecutive even integers?

Consecutive even numbers are consecutive even integers that differ by 2. If x is an even number, then x + 2, x + 4, and x + 6 are also even numbers. The difference between consecutive even numbers is two.

How do you find a series of consecutive integers?

The formula for successive integers is quite simple. If x is the first consecutive integer, x+1 is the next, x+2 is the third, x+3 is the fourth, and so on. Consider the following example. 45 is 'x if it is the first consecutive integer in either a series of numbers.

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twenty professiional athlets were asked what age did you graduate from college the responses are displayed in the histogram below

Answers

According to the given graph:

Age at graduation (in years) between 45 to 50 years.Age at graduation (in years) between 20  to 25 years.What is histogram?

A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.

When should a histogram be used?

When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.

According to the given data:

Based on these data, the numbers below appear to represent the smallest.:

= Age at graduation (in years) between 45 to 50 years.

Based on these data, the numbers below appear to represent the largest.

= Age at graduation (in years) between 20  to 25 years.

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I understand that the question you are looking for is:

Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.

Frequency 20 30 Age at graduation (in years) 40 50

(a) Which of the statistics below appear to be the smallest based on these data?

(b) Which of the statistics below appear to be the largest based on these data?

100 points hellpppp look at the image below

Answers

The values of JL, EF and KM are -19units, 29 units and 22 units respectively.

How to determine the values

13. From the diagram shown, we have;

JL = JK + KL

where;

JK = x + 2

KL = 4x - 16

JL = 6x - 13

Substitute the expressions

6x - 13 =  x + 2 + 4x - 16

collect like terms

x = -1

JL = 6x - 13 = 6(-1) - 13 = -6 -13 = -19 units

14.  EG = 2x + 13

EF = x + 14

FG = 14

2x + 13 = x + 14 + 14

collect like terms

x = 15

EF = 15 + 14 = 29 units

15. KL = 6

LM = 2x

KM = 3x - 2

3x - 2 = 6 + 2x

collect like terms

x = 8

KM = 3x - 2 = 22 units

Thus, the values of JL, EF and KM are -19units, 29 units and 22 units respectively.

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In a large population, 53 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Answers

The probability the at least of the people selected from 5 is vaccinated is 0.997.

What is meant by the binomial distribution?

The binomial distribution is a statistical probability distribution that summarizes the likelihood of a value taking one of two independent values under the specific set of assumptions or assumptions.

The likelihood that at least one person has been vaccinated = 1 - the likelihood that nobody has been vaccinated. In a large population, the probability of a randomly selected person NOT being vaccinated is 1 - 0.53 = 0.47.

Because the five randomly chosen people are independent, the probability that they're all unvaccinated is (0.47)⁵,

The probability that at least one among them 5 has been vaccinated is;

= 1 - (0.47)⁵

= 0.997

Therefore, the probability that at least one of the five people chosen is vaccinated is 0.997.

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Find the volume of a sphere with a diameter of 6 centimeters.gi
12 cubic centimeters
288 cubic centimeters
97 cubic centimeters
O 367 cubic centimeters

Answers

Answer:V≈113.1

Step-by-step explanation:

d Diameter 6

V=4

3πr3

d=2r

Solving forV

V=1

6πd3=1

6·π·63≈113.09734

the 2nd and 5th terms of a gp are 1/18 and 4/243 respectively. Find

Answers

Answer:

Step-by-step explanation:

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

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Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

Greatest Common Factor and Least Common Multiple

Juan and Joe start walking around a track at the
same time and at the same place. It takes Joe 8
minutes to walk around the track, and it takes Juan
10 minutes. After how many minutes will they reach
the starting point at the same time?

Answers

In linear equation , 40   is the number of  minutes until they meet again at the  starting line.

What is  linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

Juan walks  1/8  of a lap in one  minute

joe walks 1/10 of a  lap in one minute

The LCM of 8 and 10  = 40  = the number of  minutes until they meet again at the  starting line

In that time  Juan   walks  (1/8) * 40    = 5 laps

And Juan walks  (1/10)*40   = 4 laps

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Draw a rotation of segment CD 189 degrees around point D.

Answers

Rotation of a point through 189° about the origin When a point C(h, k) is rotated through 180° in either an anticlockwise or clockwise direction about the origin O, it takes the new position D(-h, -k).

The rotation formula will give us the precise location of a point after a finite degree of rotation. The rotation formula is determined by the type of rotation applied to the point in relation to the origin. A geometric two-dimensional shape can undergo four major types of transformation.

The rotation formula describes how a point rotates with respect to the origin. The rotation formula is used to determine the position of a point after it has been rotated. A rotation is a circular motion around a specific axis or point of rotation. In general, rotation can be done in two ways: clockwise and anti-clockwise or counter-clockwise.

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Which of the following polynomials have a GCF of 2x. (SELECT ALL THAT APPLY)
3x² - 6x
02x³+4x²
2x² - 4x
6x² + 2x

Answers

The polynomials that have a GCF of 2x are 2x (squared) - 4x and 6x (squared) + 2x

find the dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet

Answers

The dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet are 4 feet and 3 feet.

How to calculate the value?

From the information, we are given that the dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet.

It should be noted that the number will be:

= 4 × 3 = 12 ft²

It should be noted that 4² + 3² = 25 and the square root will give 5 which is also the diagonal.

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Express the solution graphically 2/3(x-9)>-8

Answers

The solution of the inequality given as 2/3(x - 9) > 8 is x > 21

How to express the solution graphically?

The inequality is given as

2/3(x - 9) > 8

Multiply both sides by 3/2

So, we have

x - 9 > 12

Add 9 to both sides of the inequality

So, we have

x > 21

Hence, the solution of the inequality given as 2/3(x - 9) > 8 is x > 21

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Will give brainlyiest 50 points

Answers

Answer:4

Step-by-step explanation:4(5x+6) = 4[tex]x[/tex]5x=20x   4[tex]x[/tex]6=24

Answer:

The answer is 4.

4 * 5x = 20x

4 * 6 = 24

So the result we get is 20x + 24

Find a counterexample to show that the following statement is false.
The sum of three multiples of 5 will always end in a 5.

Answers

Answer:

  5 + 10 + 15 = 30

Step-by-step explanation:

You want a sum of three multiples of 5 that does not end in 5.

Multiples of 5

Any odd multiple of 5 will end in 5. An even multiple will not.

In order for the sum to not end in 5, the total of the multipliers must be even:

  1×5 +2×5 +3×5 = 6×5 = 30

  5 +10 +15 = 30 . . . . . . three multiples of 5 whose sum does not end in 5

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