Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24

Answer:

arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x

the simplified is: -7x^3-3x^2-11x

Answer:

3.6 Units

Explanation:

Given points X(4, 2) and Y(7,4), to determine the distance between X and Y we use the distance formula below:

Substituting these points into the distance formula, we have:

The distance between X and Y is 3.6 Units.

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

To learn more about equations click on,

https://brainly.com/question/29266004

#SPJ1

Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

4. option A ---> m = 65h

Step-by-step explanation:

According to the question it states that,

Now if we look at the table we need to find the starting point, or in other words, how much distance traveled in 0 hours. So we would divide miles / hours.

*Four hours, the variable in the question and in the table says n, but the answer choices says h, so I am saying h for hours just if you were wondering on it.*

distance (m) / hours (h)

130 / 2 = 65

195 / 3 = 65

325 / 5 = 65

455 / 7 = 65

So, our starting point, or numbers of miles traveled in 0 hours was 65. Now let us form an equation.

m = 65h

I would appreciate if you give me the brainlist or not. Hope this helps and stay safe, happy, an healthy, thank you :) !!

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Answer:

zero

Step-by-step explanation:

This flat horizontal line is Y=1 has a slope (rate of change) of zero.

Answer:

8 x 3

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

3 x 8 = 24

Answer:

\(r = \frac{37}{4}\)  

I hope this helps!

Answer:

0

Step-by-step explanation:

Answer:

x1 = -13

x2 = -1

Step-by-step explanation:

\( {x}^{2} + 14x = - 13\)

\( {x}^{2} + 14x + 13 = 0\)

a = 1, b = 14, c = 13

\(d = {b}^{2} - 4ac = {14}^{2} - 4 \times 1 \times 13 = 196 - 52 = 144 > 0\)

\(x1 = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 14 - 12}{2} = \frac{ - 26}{2} = - 13\)

\(x2 = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 14 + 12}{2} = \frac{ - 2}{2} = - 1\)

Answer:

y is greater than z

Step-by-step explanation:

y= miles

z= kilometers

since a mile is longer than a kilometer

thus, y is greater than z

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

More can be learned about the interquartile range at brainly.com/question/12323764

#SPJ1

There were 18 time trials recorded during the experiment.

To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.

According to the given information, we have:

- Two dots over 15

- Three dots over 17

- Two dots over 19

- Two dots over 20

- One dot over 21

- Four dots over 23

- One dot over 24

- Three dots over 25

By adding up these counts, we get:

2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18

Therefore, there were 18 time trials recorded during the experiment.

To more on dot-plot:
https://brainly.com/question/15853311
#SPJ8

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

Length of wire required for 5 fold of garden = 14 km

Step-by-step explanation:

Given:

Length of rectangle garden = 0.8 km

Width of rectangle garden = 0.6 km

Find:

Length of wire required for 5 fold of garden

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of garden = 2[0.8 + 0.6]

Perimeter of garden = 2[1.4]

Perimeter of garden = 2.8 km

Length of wire required for 5 fold of garden = 5 x Perimeter of garden

Length of wire required for 5 fold of garden = 5 x 2.8

Length of wire required for 5 fold of garden = 14 km

Answer:

Step-by-step explanation:,

mean 12,25 and for median is 10.5. The mode, you already had it, 8, 11, 20, 10

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

To learn more about linear function refer:

brainly.com/question/28441514

#SPJ1

Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)

\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)

\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)

\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)

Hope I helped!

Best regards! :D

Answer:

307 members

Step-by-step explanation:

Relative growth rate= Growth rate/population

Given: constant relative growth rate=0.7233

0.7233=\(\frac{dP/dt}{P}\)

\(\frac{dP}{dt} =0.7233 P\)

Theorem 2 states that solutions of the differential equation dy/dt = ky are in the form:    y(t)=y(0)\(e^k^t\)

Writing the soltuion of our dif. equation as:

P(t)=P(0)\(e^{0.7233t}\)

since on day zero the population consists of four members.

P(t)=4\(e^{0.7233t}\)

next is to find the population size after six days. i.e t=6

P(6)=4\(e^{0.7233\times 6}\) ≈ 307 members

Step-by-step explanation:

Let the husband's income be x

Wife's income be x + 9000

X + X + 9000 = 81000

2X + 9000 – 9000 = 81000 – 9000

2X= 72000

X = 36000

Husband, 36000,

Wife, 9000+36000, 45000

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A multiplication table.

In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.

In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.

Look at the highlighted portions in rows 3 and 6.

The common number in both sets will be 18.

The row labeled 6 is the multiplication of the row labeled 3 with 2.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer: the person above is wrong

its 3, 4, 5, 6, and 7

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

r(q(2)) = 11

Step-by-step explanation:

given r(x) = x^2 + 2, and q(x) = -2x + 1.

Here is the equation to the composite function:

r(q(x)) = (-2x+1)^2 + 2 = 4x^2-4x+3 .

Then just substitute the input and solve:

r(q(2)) = 4(2)^2- 4(2) + 3 = 16 - 8 + 3 = 16 - 5 = 11

______________________________

Or if you don't like this, first find the answer to q(2) = -2(2) + 1 = -3

Then substitute this value into the second equation r(x).

r(x) → r(-3) = (-3)^2 + 2 = 9 + 2 = 11

Answer: \(x=0,1\)

Step-by-step explanation: Solve for x by bringing x from one side to the other.

\(x^2-x=0\)

Factor out x

\(x(x-1)=0\)

Which means

\(x=0\\x-1=0\)

Which means

\(x=0, x=1\)

Please Mark Brainliest!

Answer: 0

Step-by-step explanation: Plug in 0 to the x's, 0+3-5(0)

                        0+3-0

                          3=3

Answer: 39

Step-by-step explanation: its very confusing so forgive me if im wrong