Which pair represents equivalent ratios?
A.2/3,95
B.5/8,15/21
C.3/12,6/18
D.4/10,12/30

Which Pair Represents Equivalent Ratios?A.2/3,95B.5/8,15/21C.3/12,6/18D.4/10,12/30

Answers

Answer 1

Answer:

D

Step-by-step explanation:

We can test each pair making each ratio into its simplest form.

For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.

For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.

For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.

For D, 4/10=2/5, and 12/30=2/5. They are equivalent.

Answer 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Let's see which ones are equivalent}\\\huge\textbf{to each other, shall we?}\\\\\\\huge\textbf{We will convert the given fractions to}\\\huge\textbf{decimals or make the fractions on the}\\\huge\textbf{right to easier to solve or comparing it}\\\huge\textbf{to the one on the left.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\mathsf{\dfrac{2}{3}, \dfrac{9}{15}}[/tex]

[tex]\mathsf{\dfrac{2}{3}}\\\\\mathsf{= 2\div3}\\\\\mathsf{= 0.66\overline{6}7}\\\\\\\mathsf{\dfrac{9}{15}}\\\\\mathsf{= \dfrac{9\div3}{15\div3}}\\\\\mathsf{= \dfrac{3}{5}}\\\\\\\\\mathsf{\dfrac{2}{3} \neq \dfrac{9}{15}}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\mathsf{\dfrac{5}{8}, \dfrac{15}{21}}[/tex]

[tex]\mathsf{\dfrac{5}{8}}\\\\\mathsf{= 5\div8}\\\\\mathsf{= 0.625}\\\\\\\mathsf{\dfrac{15}{21}}\\\\\mathsf{= \dfrac{15\div3}{21\div3}}\\\\\mathsf{= \dfrac{5}{7}}\\\\\mathsf{\dfrac{5}{8}\neq \dfrac{15}{21}}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\mathsf{\dfrac{3}{12}.\dfrac{6}{18}}[/tex]

[tex]\mathsf{\dfrac{3}{12}}\\\\\mathsf{= 3 \div 12}\\\\\mathsf{= 0.25}\\\\\\\\\mathsf{\dfrac{6}{18}}\\\\\\\mathsf{= \dfrac{6\div3}{18\div3}}\\\\\\\mathsf{= \dfrac{2}{6}}\\\\\\\mathsf{= \dfrac{2\div2}{6\div2}}\\\\\\\mathsf{= \dfrac{1}{3}}\\\\\\\mathsf{\dfrac{3}{12}\neq \dfrac{6}{18}}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\mathsf{\dfrac{4}{10}, \dfrac{12}{30}}[/tex]

[tex]\mathsf{\dfrac{4}{10}}\\\\\mathsf{= 4\div10}\\\\\mathsf{= 0.40}\\\\\\\mathsf{\dfrac{6}{18}}\\\\\mathsf{= \dfrac{12\div3}{30\div3}}\\\\\mathsf{= \dfrac{4}{10}}\\\\\mathsf{= \dfrac{4}{10}}\\\\\mathsf{= \dfrac{4\div2}{10\div2}}\\\\\mathsf{= \dfrac{2}{5}}\\\\\mathsf{\dfrac{4}{10} = \dfrac{12}{20}}[/tex]

[tex]\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ D. \dfrac{4}{10}, \dfrac{12}{30}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Related Questions

pls help oooooooooooo

Answers

Answer:

110

Step-by-step explanation:

Suppose lines EH and BD are parallel:

Angle <GFE and angle <ABC are supplementary so their sum is equal to 180

2x + 10 + x  + 20 = 180 add like terms

3x + 30 = 180 subtract 30 from both sides

3x = 150 divide both sides by 3

x = 50

We are asked the value of <ACD

<ABD and <ACD are also supplementary so we can find the value od <ACD:

x + 20 + <ACD = 180 we know x = 50 so we can replace x with that

50 + 20 + <ACD = 180

70 + <ACD = 180 subtract 79 from both sides

<ACD = 110

2.
Julia grows flowers in a garden that is the shape of a rectangle. The side lengths of
the garden are shown in the diagram.
5½⁄2 feet
3 feet
Which of these is equal to the area of the garden? Select all that apply.
A. 8
square feet
1
B.
5
feet x 3 feet
2
C.
151/11
square feet
D. 16
16¹ square feet
E. 5 feet +
11/12
F. (5 feet x 3 feet) +
foot + 3 feet
for
foot

Answers

The area of the rectangular garden given the length and width is 16 1/2 square feet

Area of the gardenLength = 5 1/2 feetWidth = 3 feet

Area of a rectangular garden = length × width

= 5 1/2 feet × 3 feet

= 11/2 × 3

= 33/2

= 16 1/2 square feet

Learn more about area:

https://brainly.com/question/8409681

#SPJ1

Which graph represents the function​
there are 2 more graphs but it won't add it

Answers

Answer:

[tex]f(x) = 9x^2+9x - 18/3x + 6\\= 9(x^2 + x - 2)/3(x+2)\\= 3(x^2+x-2)/x+2\\= 3(x+2)(x-1)/x+2\\= 3x - 3[/tex]

so y = 3x - 3

since 3x + 6 is on the bottom,

[tex]3x + 6\neq 0\\3x\neq -6\\x\neq -2[/tex]

so this means it should be the graph of y = 3x - 3, but with a hole at (-2, -9)

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?


The difference is only 0.04, but that is still a significant change.


The margin of error is quite small compared to the change year over year, so it is a significant issue.


The change of 0.09 is not a lot and thus should be ignored.


The margin of error is larger than the increase, so we should consider it an issue of just extra information and thus can be ignored.

Answers

The correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

What is the margin of error(MOE)?

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C.

As the value of MOE is 0.13 degrees

It is a serious problem because the margin of error is quite narrow in comparison to the shift from year to year.

Thus, the correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

Which expression is modeled by this arrangement of tiles?

40 positive tiles are broken up into 10 groups of 4 positive tiles.
40 divided by (negative 10)
40 divided by 10
40 divided by 40
40 divided by 40

Answers

Answer:

40 divided by 10

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A phone company offers a monthly cellular
phone plan for $25. The plan includes 250
anytime minutes, and charges $0.20 per minute
above 250 min. Write a piecewise-defined
function for C(x), the cost for using x minutes in
a month.

Answers

The function will be given as C(x) = 25 + 0.2(x) here x is in minutes.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given that:-

A phone company offers a monthly cellular phone plan for $25. The plan includes 250 anytime minutes and charges $0.20 per minute above 250 min.

The cost of the 250 minutes is $25 and if the time extends from 250 minutes then the function will be expressed in the form of.

C(x) = 25 + 0.2 (x)

Here C(x) is the total cost and the x is in minutes.

Hence the function will be given as C(x) = 25 + 0.2(x) here x is in minutes.

To know more about function follow

https://brainly.com/question/2833285

#SPJ1

What is the area of triangle ABD?




a 4.5 cm 2

b 3.5 cm 2

c 7 cm 2

d 6 cm 2

Answers

Answer: [tex]4.5 \text{ cm}^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} bh\\\\A=\frac{1}{2}(3)(3)\\\\\boxed{A=4.5 \text{ cm}^{2}}[/tex]

The area of the triangle will be equal to 4.5 square centimeters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space covered by the triangle in the two-dimension is called an area of the triangle.

The area of the triangle ABD will be calculated as:-

Area = [tex]\dfrac{1}{2}[/tex] x Base x height

Area = [tex]\dfrac{1}{2}[/tex] x 3 x 3

Area = 4.5 cm.

Therefore the area of the triangle will be equal to 4.5 square centimeters.

To know more about the area follow

https://brainly.com/question/24375372

#SPJ1

Can you please help meee

Answers

Answer: y = 4x + 5/4

Step-by-step explanation: Plug in the slope and y-intercept into the equation y = mx + b, where m is the slope and b is the y-intercept, and such that m, b ≠ 0.

5 ice creams cost 6.50 pounds. How much do 11 ice creams cost​

Answers

Answer:

14.30

Step-by-step explanation:

6.50/5=1.3

so one ice cream is 1.30 pounds

1.30X11=14.3

so 11 ice creams is 14.30 pounds

Find the parametric equation of the line that passes through P(1, 0, −3) and is parallel to the line with parametric equations x = −1 + 2t , y = 2−t, and z = 3+3t.

Which is the equation for y?

Answers

Answer:

y = -t

Step-by-step explanation:

Parametric Equation = Type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable.

parametric equation of line passing through a point (a₁, b₁, c₁)

   and parallel to a vector <a, b, c> is given by :

   x =a₁ + at ,   y = b₁ + bt   ,   z = c₁ + ct

now according to question:

given -

point, P(1, 0, -3)

line,   x = −1 + 2t , y = 2−t, and z = 3+3t.

so from the line the vector is=  <2, -1, 3>

now using above formula,

equation of line is =   x = 1 + 2t , y = −t, and z = -3+3t.

we have to solve for 'y' only,

⇒ y = -t    (answer)

read more on parametric equations at

https://brainly.com/question/17068884

#SPJ10

There are 10 USB drives in a box and 3 are defective. Two drives are to be selected, one after the other. What is the probability of selecting a defective USB followed by another defective USB?

Answers

[tex]|\Omega|=10\cdot9=90\\|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6.7\%[/tex]

what is next number in pattern 7, 11, 2, 18, -7

Answers

Answer:

the answer is -7+-25=-32

Hey I need help with statistics

Answers

What’s your question?

Find the domain and range of the following graph
Write your answer as an interval.

Answers

Answer:

Domain: [1, infinity)

Range: All real numbers or (- infinity, + infinity)

Step-by-step explanation:

Hope this helps

Needa line segment has endpoints P(-8,7) and Q(6,-3). What is the midpoint of the segment?

Answers

Answer:

1/2(6-8), 1/2(-3+7)=-1,2

Answer: C - (-1, 2)

Step-by-step explanation:

the density of some steel is7.98gm/cc.how much does 60cc weigh?​

Answers

Substituting into the formula d=m/v,

[tex]7.98=\frac{m}{60}\\\\m=\boxed{478.8 \text{ gm}}[/tex]

If the odds on a bet are 7:1 against, what is the probability of winning? Express your answer as a fraction.

Answers

Probability helps us to know the chances of an event occurring. The probability of winning the bet is 0.125.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the odds on a bet are 7:1, therefore, there are a total of 8 cases out of which only one case is of winning. Thus, the probability of winning the bet will be,

Probability = 1/8 = 0.125

Hence, the probability of winning the bet is 0.125.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ1

Help asap !………………………

Answers

Answer:

c

Step-by-step explanation:

dvdywuwhfuwi eurue wuid

Suppose f(x)=x²+4 and g(x)=2x+1.
Find the value of f(-2)g(-2).

Answers

Answer: -24

Step-by-step explanation:

I am assuming you want the value of (f × g)(-2)

[tex]f(-2)=(-2)^2+4\\f(-2) = 4+4\\f(-2)=8[/tex]

[tex]g(-2)=2(-2)+1\\g(-2)=-4+1\\g(-2)=-3[/tex]

8 × -3 = -24


Which equation describes the same line as y-5=-2(x+4)

Answers

The same equation is

Christine splits 4/5 pounds of candy with 5 people. What is the unit rate in pounds per person. In simplest form

Answers

Answer:

4/25

Step-by-step explanation:

4/5 ÷ 5 = 4/5 × 1/5 = 4/25

please help me asap :)

Answers

Answer:

They are not similar because corresponding sides are not proportional.

Explaination

Condition for similarity of two triangles -

The ratio of corresponding sides should be equal.

Condition for congruence of two triangle -

Any of the following -

Side side side

side angle side

angle angle

angle side angle

NEED HELP ASAP !!!

Simplify: √16r
O 47²
O 473
87²
O 8-3

Answers

Answer:

4 r^3

Step-by-step explanation:

sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3

urgent algebra 2 help please

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

y = mx + b

By putting above values in equation (i)

-1 = 4 (1) + b

-1 = 4 + b

-5 = b

b = -5

y = 4x - 5

PLEASE HELP WITH THIS PROBLEM!

Answers

Answer: Options 1 and 2

Step-by-step explanation:

To model exponential decay, the base of the exponential has to be less than 1.

Model exponential decay equation are

y = 0.34(0.98)^x

y = 8 (0.28)^x

Model exponential decay equation

Model exponential decay equation has the base value which is less than 1.Exponential decay is the process of reducing amount by consistent percentage rate over a time period. It can be expressed by the equation y=a(1-b)x where y is the final amount, a original amount, b decay factor, and x is the amount of time that has passed.

Option C and D have the base value greater than 1. So it can't be model exponential decay equation.

Hence, the model exponential decay equation are

y = 0.34(0.98)^x

y = 8 (0.28)^x

Learn more about exponential function here:

https://brainly.com/question/2456547

#SPJ10

A medication states that the odds of having an allergic reaction are 2 in 200. What is that probability states as a percent?

Answers

It would be 1%. If you divide 2/200, you get 0.01. When multiplied by 100, you get 1.

Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]

Answers

The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.

We have a quadrilateral shown in the picture.

The diagonal divides the quadrilateral into two triangles

The area of the quadrilateral = area of the triangle ADC + area of the

                                                   triangle ADB

= (1/2)3.42×4.39 + (1/2)5.44×3.42

= 7.5069 + 9.3024

= 16.80 square units

Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

please help! write D u E and D n E using interval notation.

Answers

Part 1

[tex]D \cup E[/tex] denotes the union of the two sets (in other words, all the elements in both sets).

This means it is [tex](-\infty, 4) \cup [7, \infty)[/tex]

Part 2

[tex]D \cap E[/tex] denotes the elements shared between both sets.

This means the answer is [tex](4, 7][/tex]

Urgent
find the values of x and y 8x+5y=-5 7x-3y=3

Answers

Answer:

x= 0, y= -1

Step-by-step explanation:

To obtain the values of x and y from a system of equations, start by labelling the given equations.

8x +5y= -5 -----(1)

7x -3y= 3 -----(2)

Let's solve by elimination.

Here, I will be working to eliminate the y term. This is done by ensuring both equations have the same numerical value in the coefficient of y.

(1) ×3:

24x +15y= -15 -----(3)

(2) ×5:

35x -15y= 15 -----(4)

Add the two equations together since the coefficient of y has opposite signs.

(3) +(4):

24x +15y +35x -15y= -15 +15

59x= 0

Divide both sides by 59:

x= 0

Now, substitute the value of x into any equations to find the value of y.

Substitute x= 0 into (1):

8(0) +5y= -5

5y= -5

Divide both sides by 5:

y= -5 ÷5

y= -1

Additional:

For similar questions on system of equations, do check out the following!

https://brainly.com/question/4346392

Find the 7th term in the
sequence
-, -1, -5, -25, . . .
Hint: Write a formula to help you.
1st term. Common Ratio (desired term - 1)
Enter

Answers

Answer: -15625

Step-by-step explanation:

The explicit formula for the sequence is

[tex]a_{n}=-1(5)^{n-1}\\\\\implies a_{7}=-1(5)^{7-1}=\boxed{-15625}[/tex]

Other Questions
(Swahili)Kisawe cha ujabari the length of a cll is 2/3 mm. if the area of the cell is 1/12 square mm, what is the width of the cell True or false for 1 and 3 What is the main argument of Thomas Paines pamphlet, Common Sense? Paine argues that America has flourished with Great Britain and should remain loyal.Paine argues that American colonists need to establish their own government.Paine argues that connection with Great Britain will keep colonists happy.Paine argues that without Great Britain, America will stop prospering. How to answer law case study questions Explain how the scenario below illustrates a lack of understanding of the importance of quality control.Situation: Tomas is the manager of a local restaurant.Tomas: The health inspection department is too strict. We have to leave some cold foods out to prepare salads for lunch. why was anne Frank's parent so lenient towards her? ( mentioned in her diary September 27,1942) The measure of each anterior angle of a regular decagon is What is the cause of lightning?A. The different elevations of a cloud and the groundB. Airflow between a cloud and the groundC. Varying air pressure underneath a cloudD. Different charges on the ground and the bottom of a cloud The data show the total number of medals (gold, silver, and bronze) won by each country winning at least one gold medal in the Winter Olympics. Find the range, sample variance, and sample standard deviation of the numbers of medals won by these countries. 1 2 3 3 4 9 9 11 11 11 14 14 19 22 23 24 25 29 Which degenerate conic is formed when a double cone is sliced through the a pex by a plane parallel to the slant edge of the cone? Circle Parabola One line Two lines Which statement is an example of a figure of speech?OA. He is a very healthy person.OB. He is as healthy as a horse.O C. His horse is very healthy.OD. He has a healthy horse.SUB joseph drove from his summer home to his place of work. To avoid the road construction, joseph decided to travel the gravel road. After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work. this situation is shown in the graph below. determine the slope of the line and describe what it means in this situation hello,which kind of art branch deals with preparing such a thing in a picture below. What is the absolute value of -6 ? Potential output is not purely a physical measure based on the number of workers and existing factories because: Confucianism, Yin and Yang, and astronomical theories are included in the architecture of the Forbidden City? Hassan used the iterative process to locate StartRoot 0.15 EndRoot on the number line.A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.4 and 0.5.Which best describes Hassans estimation?Hassan is correct because StartRoot 0.15 EndRoot almost-equals 0.4Hassan is correct because the point is on the middle of the number line.Hassan is incorrect because StartRoot 0.15 EndRoot is less than 0.4. Hassan is incorrect because the point should be located between 0.1 and 0.2 Assume that t varies jointly as r and q2. If t=320 when r=5 and q = 4, what is the value of q when r= 1 and t= 196?q= Why were the Mongols able to conquer so much territory?