Write a multiplication problem with two fractions that has a simplified product of 4/5.

Answers

Answer 1

A problem that consists of the multiplication of two fractions, and in which the simplified product is 4/5 is presented as follows;

[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} = \frac{4}{5} }[/tex]

What is a fraction in mathematics?

A fraction consists of a number that is expressed as a quotient, such that the numerator is being divided by the value in the denominator.

The multiplication problem with two fractions that ha a simplified product of 4/5 is found as follows;

let the fractions be [tex] \displaystyle \frac{a}{b} [/tex] and [tex] \displaystyle \frac{c}{d} [/tex]

The multiplication product is therefore;

[tex] \displaystyle \frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b\cdot d} = \frac{4}{5}[/tex]

The lowest common multiple of a and c is 4, while the lowest common multiple of b and d is 5

Taking b as 15, and a as 14 and c as 6, while d is taken as 7, such that we have;

[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} =\frac{2 \times 7}{5 \times 3} \times \frac{2 \times 3}{7} = \frac{2 \times 2}{5 \times 1} =\frac{4}{5} }[/tex]

The multiplication problem is therefore;

[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} = \frac{4}{5} }[/tex]

Learn more about lowest common multiples of numbers shere:

https://brainly.com/question/28109219

#SPJ1


Related Questions

¡¡¡Help with this!!!

Answers

The value of sin 2x=0.8304 ,cos 2x=0.557,tan 2x=1.498 when the value of tan x is 8/15 and using the trigonometry identities as tan x as the formula in sin 2x, cos 2x, tan 2x.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc).

What is trigonometric identities?

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.

sin 2x=2 tan x/(1+(tan x)²)

cos 2x=(1-(tan x)²)/(1+(tan x)²)

tan 2x=sin 2x/cos 2x=2 tan x/(1-(tan x)²)

Here,

tan x=8/15

sin 2x=2 tan x/(1+(tan x)²)

= 2*8/15/(1+(8/15)²)

=(16/15)/(289/225)

=(16*15)/(289)

≈0.8304

cos 2x=(1-(tan x)²)/(1+(tan x)²)

=(1-(8/15)²)/(1+(8/15)²)

=(225-64)/(225+64)

≈0.557

tan 2x=sin 2x/cos 2x

tan 2x= 0.8304/0.557

=1.498

≈1.5

When the value of tan x is 8/15, the values of sin 2x=0.8304, cos 2x=0.557, and tan 2x=1.498 using the trigonometry identities as tan x as the formula in sin 2x, cos 2x, tan 2x.

To know more about trigonometry,

https://brainly.com/question/11016599?referrer=searchResults

#SPJ13

Find the ordered pair $(x,y)$ if

\begin{align*}
x+y&=(3-x)+(3-y),\\
x-y &=(x-2)+(y-2).
\end{align*}
Thanks

Answers

In accordance with the system of linear equations, the ordered pair is (x, y) = (1, 2).

How to find the values associated to an ordered pair

Ordered pairs are constructions characterized by two components, typically real numbers. The most common form of notation is (x, y). In this problem we need to resolve a system of linear equations to obtain the needed values. We find a system of two equations and two variables:

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

x - y = (x - 2) + (y - 2)

First, simplify each expression of the system:

First equation:

x + y = 6 - x - y

2 · x + 2 · y = 6

x + y = 3

Second equation:

x - y = (x - 2) + (y - 2)

x - y = x + y - 4

- 2 · y = - 4

y = 2

Second, substitute in the first equation:

x + 2 = 3

x = 1

The ordered pair is (x, y) = (1, 2).

To learn more on ordered pairs: https://brainly.com/question/20379472

#SPJ1

A school is arranging a field trip to the zoo. The school spends 564.16

Answers

Where’s the rest of the question?

Berti is the Shape Factory's top employee. She has received awards every month for having the top sales
figures so far for the year. If she stays on top, she will receive a $5000 bonus for excellence. She currently has
sold 16, 250 shapes and continues to sell 340 per month.
EMPL
Since there are eight months left in the sales year, Sarita is working hard to catch up. While she has only sold
8,830 shapes, she is working overtime and on weekends so that she can sell 1, 082 per month. Will Sarita
catch up with Berti before the end of the sales year? If so, when?

Answers

No, Sarita will not be able to catch up with Berti before the end of the sales year.

Berti currently has sold 16, 250 shapes

She continues to sell 340 per month.

In eight months she will be able to sell

16250 + 8 x 340

= 16250 + 2720

= 18970

Sharita has only sold 8,830 shapes

Working overtime and on weekends so that she can sell 1, 082 per month

In eight months she will be able to sell

8830 + 8 x 1082

8830 + 8656

17486

No, Sarita will not be able to catch up with Berti before the end of the sales year.

To learn more about word problem refer here

https://brainly.com/question/13818690

#SPJ1

1)bowl a contains 2 red chips; bowl b contains two white chips; and bowl c contains 1 red chip and 1 white chip. a bowl is selected at random, and one chip is taken at random from that bowl. what is the probability of selecting a white chip? if the selected chip is white, what is the probability that the other chip in the bowl is red?

Answers

Probability that selected chip is white: 1/2

Probability that the other chip in the bowl is red given if the selected chip is white: 1/3

Let A be the event that bowl A is randomly selected; let B be the event that bowl B is randomly selected; and let C be the event that bowl C is randomly selected. All these three bowls are equally likely to be selected:

P(A) = P(B) = P(C) = 1/3

The probability of selecting a white chip from a bowl depends on from which bowl the chip is selected.

Let W be the event that a white chip is randomly selected.

Attached is the picture solution.

You can learn more about probability from:

https://brainly.com/question/11234923

#SPJ4

If z = 1 istartroot 3 endroot, what is z5? 16 16istartroot 3 endroot â€"16 16istartroot 3 endroot 16 â€" 16istartroot 3 endroot â€"16 â€" 16istartroot 3 endroot

Answers

Complex number z has a power of 5 represented by (-16√3 + 16) + 4(-√3 + 3)i

Given that,

z = 1 + StartRoot 3 EndRooti, what is z5? 16 + 16StartRoot 3 EndRoot i –16 + 16StartRoot 3 EndRoot i –16 – 16StartRoot 3 EndRoot i 16 – 16StartRoot 3 EndRoot i

What is a complex number?

It is characterized as a number that can be expressed as x+iy, where x is a real number or the real portion of the complex number, y is the imaginary portion of the complex number, and I is the iota, which is just the square root of -1.

We have:

z = 1 + √3i

We have to find: z⁵

z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-16√3 + 16) + 4(-√3 + 3)i

Therefore, the complex number z's power of 5 is -16√3 + 16) + 4(-√3 + 3)i

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ4

Find the value of x.​

Answers

Step-by-step explanation:

even though the line segment pieces of the horizontal and the inclined lines are of different lengths, but the ratio between the pieces of the same line must be the same.

in other words

x/27 = (32-18)/18 = 14/18 = 7/9

9x/27 = 7

x/3 = 7

x = 7×3 = 21

please help with this geometry question i attempted it but dont understand it

Answers

You have the following vertices of a triangle:

A(1,1)

B(4,1)

C(4,5)

For the translation four untis to the right, consider this kind of translation means that it is necessary to sum 4 units to the x-coordinate:

A(1,1) => A'(1+4,1) = A'(5,1)

B(4,1) => B'(8,1)

C(4,5) => C'(8,5)

Next, a translation three units up is done by adding 3 units to the y-coordinate of points A', B' and C':

A'(5,1) => A''(5,1+3) = A''(5,4)

B'(8,1) => B''(8,4)

C'(8,5) => C''(8,8)

Next, a reflection around y=-1 consists in subtracting to the y-coordinate units equivalent to the vertical distance to the line y =-1, just as follow:

for the point A''(5,4) you can notice that the vertical distance of the y-coordinate, which is 4, to the line y=-1 is 5 units, then, it is necessary to subtract 5 units to such line:

A''(5,4) => A'''(5,-1-5)=A'''(5,-6)

for the point B''(8,4), the distance is again 5 units, then, you have:

B''(8,4) => B'''(8,-1-5) = B'''(8,-6)

for the point C''(8,8) the distance from y-coordinate y=8 to the line y=-1 is 9 units, then, yu subtract 9 units to -1:

C''(8,8) => C'''(8,-1-9) = C'''(8,-10)

Hence, the final points are:

A'''(5,6)

B'''(8,-6)

C'''(8,-10)

A computer retail store has 10 personal computers in stock. A buyer wants to purchase 4of them. Unkown to either the retail store or the buyer, 4 of the computers in stock have defective hard drives. Assume that the computers are selected at random.A. In how many different ways can the 4 computers be chosen?Answer: 210B. What is the probability that exactly one of the computers will be defective?Answer:

Answers

A.

The number of different ways the computers can be chosen is given by a combination of 10 choose 4.

A combination of n choose p is given by the formula below:

[tex]C(n,p)=\frac{n!}{p!(n-p)!}[/tex]

So we have:

[tex]C(10,4)=\frac{10!}{4!(10-4)!}=\frac{10\cdot9\cdot8\cdot7\cdot6!}{4\cdot3\cdot2\cdot6!}=210[/tex]

B.

If the first computer chosen is the one defective, the probability of the first PC being defective is 4/10, the probability of the second one not being defective will be 6/9, for the third not being defective is 5/8 and for the fourth not being defective is 4/7.

Since the defective PC can be any of the 4 bought, we need to multiply the probability above by 4. So the final probability is:

[tex]P=4\cdot\frac{4}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}\cdot\frac{4}{7}=0.3809[/tex]

Find the distance between the two points rounding to the nearest tenth (if necessary).
(6,-8) and (1,4)

Answers

Answer: (8,

-4) and (3,8)

Step-by-step explanation:

Solve for y 2(4y+7)=62

Answers

2(4y + 7) = 62
8y + 14 = 62
8y = 62 - 14
8y = 48
y = 48/8
y = 6

Answer:

2 (4y+7) = 62. y=6

Step-by-step explanation:

2 (4y+7) Distribute the 2

8y+14=62. use subtraction to cancel out

-14 -14

8y=48. Use division to cancel out

/8. /8

y=6

Complete the steps to find the value of x

Answers

Answer:

2x=128⁰ x=64⁰

Step-by-step explanation:

since they are corresponding angles, the other side (2x) will also be 128⁰. This means that x=64⁰

and 2x=128⁰

(1,-3),y=-4x-1 in slope intercept form

Answers

Y = −4x^2 + 7 is the answer

Please assist Math with 50 points!

Answers

Answer:

A. (1/2) bucket

Step-by-step explanation:

    6           11

4 ------ - 3 ------- = ?

    14          12

14 × 4 = 56

56 + 6 = 62

12 × -3 = -36

-36 - 11 = -47

 62       47

------- - -------

  14        12

 62(12)        47(14)

-------    -     -------

  14(12)         12(14)

744     658       86

------- - ------- = --------

 168     168       168

 86 ÷ 2

-------

168 ÷ 2

43

----- = 0.511

84

0.511 ≈ (1/2)

I hope this helps!

Answer:

1/2 bucket

Step-by-step explanation:

Determine the point (x, y) on the unit circle associated with the following real numbers. Write the exact answer as an ordered pair. Do not round.S = 30

Answers

Remember that

In a unit circle, the radius of the circle is 1

see the figure below to better understand the problem

we have that

[tex]\sin (30^o)=\frac{y}{1}[/tex]

and we know that

[tex]\sin (30^o)=\frac{1}{2}[/tex]

so

[tex]\begin{gathered} \frac{y}{1}=\frac{1}{2} \\ y=\frac{1}{2} \end{gathered}[/tex][tex]\cos (30^o)=\frac{x}{1}[/tex]

and we know that

[tex]\cos (30^o)=\frac{\sqrt[]{3}}{2}[/tex]

so

[tex]x=\frac{\sqrt[]{3}}{2}[/tex]

therefore

the coordinates (x,y) are

[tex](\frac{\sqrt[]{3}}{2},\frac{1}{2})[/tex]

PLEASE ANSWER QUICK THIS IS DUE TODAY!!

-6+7m = 6m - m

Answers

Answer:

m = 3

Step-by-step explanation:

Hello!

We can solve for m by isolating the variable.

Solve for m-6 + 7m = 6m - m-6 + 7m = 5m                 => Simplify7m = 5m + 6                  => Add 6 to both sides2m = 6                           => Simplifym = 3                             => Divide by 2

The value of m is 3.

Select all ratios equivalent to 13.14

52:56. 39:42. 3:4

Answers

52:56 and 39:42

wkskskskskkakakskskskksmwkwkwkwksskks

David has a wooden board that is 6 feet long. how many pieces can be cut from the board if the length of each piece is 1/3 of a foot

Answers

total length = 6 ft

length of the piece = 1/3

[tex]\text{Number of pieces = 6 / }\frac{1}{3}\text{ = }\frac{\frac{6}{1}}{\frac{1}{3}}\text{ = }\frac{6x\text{ 3}}{1\text{ x 1}}=\text{ }\frac{18}{1}\text{ = 18}[/tex]

There will be 18 pieces

What is the solution of -8/2y-8 = 5/y+4 - 7y+8/y^2-16?

y = -4
y = -2
y = 4
y = 6

Answers

The correct option for the fraction with polynomials is y=6.

Fractions with polynomials.

Expressions of more than two algebraic terms that contain different powers of the same variable is a polynomial.

The polynomial fraction is an expression of polynomial divided by another polynomial.

We can solve the fraction to get the value of y as follows;

[-8/(2y-8)]= [5/(y+4)]-[(7y+8)/(y²-16)]

[-8/(2y-8)]= [5/(y+4)]-[(7y+8)/(y+4)(y-4)]

[-8/(2y-8)]= [5(y+4)-(7y+8)]/(y+4)(y-4)] (L.C.M) of the fraction

[-8/(2y-8)]= (5y-20-7y-8)/(y+4)(y-4)

[-8/(2y-8)]= (-2y-28)/(y+4)(y-4)

[-8/2(y-4)]= (-2y-28)/(y+4)(y-4)

[-8/2(y-4)]= [-2(y-14)]/(y+4)(y-4)

[-4/(y-4)]= [-2(y-14)]/(y+4)(y-4)

Multiply both sides of the equation by -(y-4)

4= 2(y-14)/(y+4)

Cross multiply

4(y+4)=2(y+14)

Divide through by 2

2(y+4)=y+14

2y+8=y+14

collect like terms

2y-y=14-8

y=6.

Hence, we can state that the value of y for the polynomial with fraction is 6.

Know more about polynomials here:https://brainly.com/question/4142886

#SPJ1

What is the wavelength of a gamma ray with a frequency of 1.0 × 10¹⁹ Hz? 19 x [?] x 10?] m c = 3.0 x 108 m/s

Answers

The wave length of the gamma ray with a frequency of 1.0 x 10¹⁹ is 3 x 10⁻¹¹

Wave length:

Wavelength refers the distance between two peaks (or troughs) of a wave, and is therefore measured in meters.

The formula for calculating wave length is,

λ = c/v

where,

c = 3.0 × 10⁸, i.e. the speed of light, and

λ = wavelength , and

ν = frequency .

Given,

Here we have the frequency as 1.0 x 10¹⁹.

Now we need to find the wave length of the gamma ray.

Here we know that value of c = 3 x 10⁸

And the value of v = 1.0 x 10¹⁹

Wen we apply the value on the formula then we get,

λ = ( 3 x 10⁸) / ( 1.0 x 10¹⁹)

When we simplify it, then we get,

v = 3 x 10⁻¹¹

Therefore, the wavelength of the gamma ray is 3 x 10⁻¹¹.

To know more about Wave length here.

https://brainly.com/question/10715783

#SPJ1

Part A Write the multiplication expression shown by the model. Do not solve the problem. Part B
Explain the expression written in Part A. Include the final product and how it is shown with the model.
active attachment

Answers

The multiplication expression is  L×w

The expression is written as N= r+ g + w + b

The final product = 200 boxes

How to determine the expression

It is important to note that the formula for calculating the area of a rectangle is expressed as;

Area = lw

Where;

l is the length of the rectanglew is the width of the rectangle

The area can be determined by multiplying the length and the width and also by then adding the boxes.

Mathematically, we have;

10( 4 + 5 + 4 + 7)

Also

L × w =  r + g + w + b

Hence,  we have that L×w is a multiplication expression.

Total number of boxes for the length = 20

Total number of boxes for the width = 10

Total area = L×w = 20×10=200

Number of red boxes  = 46Number of green boxes  = 46Number of blue boxes = 46Number of white boxes = 62

We then have;

N= r+ g + w + b

but r = g = b

Also,

L×B =  3r + w

Hence, a multiplication expression is an expression in which variables or numbers are being multiplied.

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

solve the systems using equal values.y= 2xy= -3x + 5

Answers

[tex]\begin{gathered} \text{The equation is } \\ y=2x\ldots(1) \\ y=-3x+5\ldots(2) \\ \text{Substitute the value of y from the equation (1) into (2).} \\ 2x=-3x+5 \\ 5x=5 \\ x=1 \\ \text{Now, subsitute the value of x in the equation (1).} \\ y=2\times1=2 \\ \text{Thus, the solution of the system is (1,2).} \end{gathered}[/tex]


In the translation shown the image is
moved

A up 5
B down 5
C left 5
D right 5

Answers

b) down 5

explanation: it’s down 5 because it’s minus (-)

Find the sum of the following infinite series.1/3−2/21+4/147−8/1029+···

Answers

Given:

The series is 1/3−2/21+4/147−8/1029+··

Explanation:

For the given series, the first term is,

[tex]a=\frac{1}{3}[/tex]

The common ratio is,

[tex]\begin{gathered} r=\frac{-\frac{2}{21}}{\frac{1}{3}} \\ =-\frac{2}{21}\cdot\frac{3}{1} \\ =-\frac{2}{7} \end{gathered}[/tex]

The formula for the sum of infinite series is,

[tex]S_{\infty}=\frac{a}{1-r}[/tex]

Substitute the values in the formula to determine the sum of infinite series.

[tex]\begin{gathered} S_{\infty}=\frac{\frac{1}{3}}{1-(-\frac{2}{7})} \\ =\frac{\frac{1}{3}}{\frac{9}{7}} \\ =\frac{1}{3}\times\frac{7}{9} \\ =\frac{7}{27} \end{gathered}[/tex]

Answer: 7/27

Lisa is putting money into a savings account, she starts with $350 in the savings account, and each week she adds $60

Answers

The total amount of money in the savings account after 11 weeks is  $1010.

What is the total amount in the savings account?

The from of the equation that can be used to determine the total amount of money in the savings account is a linear equation. A linear equation is an equation that has one variable that is raised to the power of one. When a linear equation is drawn on a coordinate graph, it is usually a straight line.

The form of the linear equation is:

Total amount = amount she starts with + (number of weeks x amount of money she adds each week)

S = $350 + ($60 x W)

S = $350 + $60W

Amount she would have in 11 weeks :  $350 + ( 11 x $60)

$350 + 660 = $1010

Here is the complete question:

Lisa is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $60. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Jenny has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

4.(06.07 HC)A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table below shows the data:Number of hours spent studying 0 0.5 1(x)1.5 2 2.5 33.54Score on science test(y)57 62 67727782 879297Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer. (4 points)Part B: Write a function which best fits the data. (3 points)Part C: What does the slope and y-intercept of the plot indicate? (3 points)(10 points)

Answers

For part A. One way to know if there is a correlation between the data is to graph the data set, like this

Then, as can you see the data presents a positive linear correlation.

For part B. You can take the coordinates of two points and find the slope of the line using the formula

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}[/tex]

If you take

[tex]\begin{gathered} (x_1,y_1)=(1,67) \\ (x_2,y_2)=(3,87) \\ \text{ You have} \\ m=\frac{87-67}{3-1} \\ m=\frac{20}{2} \\ m=10 \end{gathered}[/tex]

Now, using the slope formula, you can find the equation of the line in its slope-intercept form

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-67=10(x-1) \\ y-67=10x-10 \\ \text{ Add 67 on both sides of the equation} \\ y-67+67=10x-10+67 \\ y=10x+57 \end{gathered}[/tex]

Therefore, the function that best fits the data is

[tex]y=10x+57[/tex]

For part C. The slope of the plot is 10 and indicates that for every hour students spend time studying, they get 10 more points on the science test.

The y-intercept of the plot is 57 and indicates that if students study 0 hours for the science test, they will obtain 57 points as a grade.

Let x represent the unknown value, then write an algebraic expression for: double a quantity increased by nine

Answers

Answer:

2(x + 9)

Explanation:

Let x represent the unknown value.

Double a quantity increased 9 means;

*We'll multiply the quantity by 2

*Increased by signifies addition

*Quantity means we'll put the expression after it in brackets

Let's go ahead and write the required algebraic expression;

[tex]2(x+9)[/tex]

HELP ASAP!!! (100 POINTS!!!) GIVING BRAINIEST

PLEASE HELP SOLVE ALL OF THEM!!!


Use the idea of partial quotients to solve each of the

division problems below. You can use the powers of 10 or grouping,

whichever makes the problem go faster.


1. 1,085/7


2. 7,104/32


3. 2,244/51


4. 1,584/12


5. 1,467/9


6. 2,830/28


7. 9,090/45


8. 7,000/62


9.1,150/15


HELP ASAP!!!

PLEASE HELP SOLVE ALL OF THEM!!!

Answers

Answer:

I gotchu

Step-by-step explanation:

1= 155

2= 222

3= 44

4= 132

5= 163

It takes Allie 456
minutes to drive to the store. From the store, it takes her 734
minutes to drive to the car wash. How many minutes does it take Allie to drive to the store and then to the car wash?

Answers

It takes 1190 minutes for Allie to drive to the store and then to the car wash.

According to the question,

We have the following information:

Time taken by Allie to drive to the store = 456 minutes

Time taken by Allie to drive to the car wash from the store = 734 minutes

Now, we have to find the total time in minutes. So, we will add the total time taken by Allie to drive to the store and then to the car wash.

(Note that the time asked in the question is in minutes. So, we do not need to change the units of given time.)

Now,

The total time taken by Allie to drive to the store and then to the car wash = Time taken by Allie to drive to the store + Time taken by Allie to drive to the car wash from the store

The total time taken by Allie to drive to the store and then to the car wash = (456 + 734) minutes

The total time taken by Allie to drive to the store and then to the car wash = 1190 minutes

Hence, the total time taken by Allie to drive to the store and then to the car wash is 1190 minutes.

To know more about minutes here

https://brainly.com/question/15600126

#SPJ1

SLook at point in the coordinate grid.If a line contains both points and the origin, which point would the line also contain? *(2 points)DS(12,8)(14,7)(15,9)(20, 12)5tvAle--AR

Answers

the point which will fall in the line is (14, 7)

Explanation:

The coordinates o f S = (2, 1)

When we draw a line from the origin (0, 0) touching the point S, we will see the next point will be (4, 2). Followed by (6, 3).

So when we look at the trend, we see that the x axis is the double of the y axis:

(2y, y) = (x, y)

(2,1 ) , (4, 2), (6, 3)

From the above, we can say the point which will fall in the line will follow that trend:

When we check the options, the only point with that trend is (14, 7).

This because (2(7), 7) = (2y, y)

Hence, the point which will fall in the line is (14, 7)

Other Questions
6. If you start with 200 MNM's and eat 15 every minute and your friend starts with300 MnM's but eats 25 every minute. When will you have the same number asyour friend? How much longer will it take you to finish your MnM's? At 10minutes you both will have 50 left. You will finish 1 min and 20 seconds after yourfriend. Problem 42 (p.228) Different radioisotopes have different half-lives. For example, the half-life of carbon-14 is 5700 years, the half-life of uranium-235 is 704 million years , the half-life of potassium-40 is 1.3 billion years, and the half-life of rubidium-87 is 49 billion years.Why would an isotope with a half life like that of carbon-14 be a poor choice to get the age of the Solar System?b) The age of the universe is approximately 14 billion years. Does that mean that no rubidium-87 has decayed yet? In 23 complete sentences, thoroughly explain the protagonist's main motivation or goal in your Module One short story. What does the protagonist want? Provide at least two specific details from the text to support your analysis of the protagonist's motivation or goal. My story RULES OF THE GAME, BY AMI TAN the june 30, 2024, year-end trial balance for askew company contained the following information: account debit credit inventory, 7/1/2023 $ 33,700 sales revenue $ 397,000 sales returns 13,700 purchases 257,000 purchase discounts 7,700 purchase returns 11,700 freight-in 20,400 in addition, you determine that the june 30, 2024, inventory balance is $41,700. required: calculate the cost of goods sold for the askew company for the year ending june 30, 2024. at the battle of leuctra in 371 b.c.e., select one: a. persia joined with sparta to crush the athenians. b. a small force of 300 spartans held off persian attackers. c. the athenian fleet defeated the persians. d. a fleet from corinth defeated the athenians. e. a theban force destroyed the spartan army. A college conducted a survey of randomly selected freshmen about their choice of major. The table shows the results of the survey. KS A 12 ohm hair dryer is plugged into a 240 V power supply. What is the current? This not a test btw ! But can you please help me with this ! justin bieber contracted to perform a music concert at the local stadium. he was aware of the fact that the stadium would sustain a substantial loss if he failed to perform. justin, however, was stricken ill with laryngitis preventing him from singing and he failed to perform at the concert. the stadium sued justin for breach of contract. what is the likely result? what is proof-of-stake? multiple choice a requirement to define an expensive computer calculation, also called mining, that needs to be performed in order to create a new group of trustless transactions (blocks) on the distributed ledger or blockchain a way to validate transactions and achieve a distributed consensus a type of digital currency in which a record of transactions is maintained and new units of currency are generated by the computational solution of mathematical problems; it which operates independently of a central bank all of the answer choices are correct. Point F is located at (-6, -2) on the coordinate plane. Point Fis reflected over they-axis to create point F'. What ordered pair describes the location of F'?l Scripture Spotlight: Proverbs 6:6-11the term sluggard comes from slugs, which move like snails, s-l-o-w-l-y. What is the message of the above passage? Read it in several Bible versions Triangle X has two angles that measure 80 and 30. Triangle Y has two anglesthat measure 80 and 70. Hannah says that triangles X and Y are not similar.Jasmine says they are similar. Who is correct? Explain. HELPPP PLEASE -. What is one adjective you would use to describe the period from 1914 to 1920? A deck of cards was shuffled and after each shuffle, the suit of the top card was recorded. The table shows theprobability of each outcome. What is the probability that the top card is not a heart? A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit pricesis true?The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.The 20-count pack of AA batteries has a lower unit price of $0.78 per battery. Id appreciate the help this is my last few questions and this will save my grade since the first trimester of my school is done this week so I appreciate help the digits 1through 6 are used for a set of locker codes. suppose the digits cannot repeat. find the number of possible two digit codes and three digit codes. describe any pattern and use it to predict the number of possible five digit codes I need help with number 12. you have to spligy the expression and the answer will reveal a letter sin ([3pi over 2] + x) + sin ([3pi over 2] + x) = -2must show work also