Which of the following equations is equivalent to 1/2x - 2/3y = 5?


x - 2y = 30
4x - 3y = 30
3x - 4y = 30

Answers

Answer 1

Answer:

[tex]\large\boxed{3x-4y=30}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{2}x-\dfrac{2}{3}y=5\qquad\text{multiply both sides by LCM(2, 3) = 6}\\\\6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}x-6\!\!\!\!\diagup^2\cdot\dfrac{2}{3\!\!\!\!\diagup_1}y=6\cdot5\\\\(3)(x)-(2)(2y)=30\\\\3x-4y=30[/tex]


Related Questions

The Olympic-size pool at the recreational center is a right rectangular prism 50\, \text{m}50m50, space, m long and 25 \,\text{m}25m25, space, m wide. The pool contains 3000\text{ m}^33000 m 3 3000, space, m, start superscript, 3, end superscript of water. How deep is the water in the pool?

Answers

Answer:

Answer:2.4

Step-by-step explanation:

The correct answer will be 2.4

Hope this helped

Need help ASAP, please.

Answers

Answer:

n = 3(1, 1/6), (-2, 7/6), (5, -7/6)2x + 6y = 3

Step-by-step explanation:

A graphing program can help a lot in this case. Even without the program, it seems clear from a graph that only the first three points will lie on the same line.

The slope of the line can be found from the first two points as ...

  ∆y/∆x = (7/6 -1/6)/(-2 -1) = (6/6)/-3 = -1/3

Then the point-slope form of the equation can be written as

  y -1/6 = -1/3(x -1)

Multiplying by 6 gives ...

  6y -1 = -2x +2

Adding 2x+1 puts the equation into standard form:

  2x + 6y = 3

Alejandra and her father tile a bathroom floor. They used 48 tiles that measure 1 foot on a side. One side of the bathroom is 8 ft. How long is the other side?

Answers

Answer:

6

Step-by-step explanation:

48 tiles divided by 8 ft is 6 ft

could you please help!
the circumference of the earth is approximately 40 075 km .



Find the circumference of the earth of the earth in meters and write your answer in scientific notation ?

Answers

There are 1000 meters in 1 kilometer so you can set up a proportion to find the number of meters. 1000m / 1km = x / 40075 km cross multiply and you get the answer of 40,075,000 meters. To change to scientific notation, move the decimal point next to the 4 (becuase 4.0075 is less than 10) and you get the answer of 4.0075 x 10^7 meters.

I REALLY NEED HELP PLEASEEE!!! I'LL GIVE BRAINLIEST! PLEASE HELP!

Answers

Answer:

I think the answer would be B.

Bobby is diving 50 feet below sea level at the beach. His sister is at the swimming pool deck, which is 15 feet above sea level. What is the difference, in feet, between the pool deck and Bobby's position?

Answers

Answer:

the difference between bobby and the pool deck is 35 feet

Step-by-step explanation:

Final answer:

The difference between the pool deck and Bobby's position is 35 feet.

Explanation:

To find the difference between the pool deck and Bobby's position, we subtract Bobby's depth from the pool deck's height. The pool deck is 15 feet above sea level, while Bobby is diving 50 feet below sea level. We can compare these two numbers by subtracting 50 from 15.

15-50=35

The difference between the pool deck and Bobby's position is 35 feet.

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Please answer this question. Will give brainliest.

Answers

Answer:

11.3cm = RC

Step-by-step explanation:

We can find the radius by using Pythagorean theorem and finding RC

a^2 + b^2 = c^2

RQ^2 + QC^2 = RC^2

We are given QC = 8

QC is the perpendicular bisector of PR so QR is 1/2 PR

QR = 1/2 (16) = 8

RQ^2 + QC^2 = RC^2

8^2 + 8^2 = RC^2

64+64 = RC^2

128 = RC^2

Take the square root of each side

sqrt(128) = sqrt(RC^2)

11.3137 = RC

Rounding to the nearest tenth

11.3cm = RC

What is the value of y in the solution to the system of equations?


x + y = 1


2x – 3y = –30


–8

–3

3

8

Answers

Final answer:

After solving the given system of equations, the value of y is determined to be 6.4, but this answer does not match any of the provided choices. There appears to be an error in the options given or the original equations.

Explanation:

To find the value of y in the solution to the system of equations, we first need to solve the system. We have two equations:

x + y = 1

2x – 3y = –30

From the first equation, we can express x in terms of y:

x = 1 - y

Next, we substitute this expression for x into the second equation:

2(1 - y) - 3y = -30

Expanding this equation:

2 - 2y - 3y = -30

Combining like terms:

-5y = -32

Divide both sides by -5 to find the value of y:

y = 32 / 5

Now, we can see that none of the options provided in the question (-8, -3, 3, 8) match the correct value we found, which is 6.4. It seems there might be an error in the options provided. However, if the question intended for y to be an integer, then we should re-examine the arithmetic or consider that there might be a typo in the original equations or options given.

An architect is designing a ramp that allows handicapped persons to get to a door's level that is 12 feet off the ground. What is the maximum angle of elevation for the rap, rounded to the nearest hundredth of a degree? What is the shortest possible length of the ramp, rounded to the nearest tenth of a foot? The ramp can not have an incline surpassing a ratio of 1:12.

Answers

Answer:

4.780 °

144''

Step-by-step explanation:

Given that,

door's level is 12 feet off the ground

the ramp can not have an incline surpassing a ratio of 1:12

An incline surpassing a ratio of 1:12 , means that every 1" of vertical rise requires at least 12" of ramp length

So,

1' rise = 12' length

12' = 12'x12

   = 144''

now we know the length and height of ramp so we can use trigonometry identities to find the angle

sinФ = height / length

sinФ = 12 / 144

sinФ =  sin^-1(12/144)

Ф       =  4.780 °

A painter will paint n walls with the same size and shape in a building using a specific brand of paint. The painter's fee can be calculated by the expression nKLh, where n is the number of walls, K is a constant with units of dollars per square foot, L is the length of each wall in feet, and h is the height of each wall in feet.


If the customer asks the painter to use a more expensive brand of paint, which of the factros in the expression would change?

Answers

Answer:

K

Step-by-step explanation:

The factor that will change in the expression will be K.

n = number of walls

K = units of $/ft²

L = length of each wall in feet

h = height of each wall in feet

If the customer will request a more expensive brand of paint, the only factor that will change is K, because K holds the price of the paint over how many square feet.

By using more expensive brand of paint, the cost "K" would change.

Given:

painter's fee = nKLh

length= L

h= Height

n = number of walls.

The constant "K" represents the cost per square foot of the paint.

By using a more expensive brand of paint, the cost per square foot would increase.

Therefore, the value of "K" in the expression would change to reflect the new cost associated with the more expensive paint.

The other factors in the expression, "n" (number of walls), "L" (length of each wall), and "h" (height of each wall) remains same.

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(a) Use differentiation to find a power series representation forf(x) =1(6 + x)2.f(x) =∞ leftparen1.gif(−1)n(n+1)xn6n+2​ rightparen1.gifsum.gifn = 0What is the radius of convergence, R?R = (b) Use part (a) to find a power series forf(x) =1(6 + x)3.f(x) =∞ leftparen1.gif(−1)n(n+3)(n+1)xn6n+5​ rightparen1.gifsum.gifn = 0What is the radius of convergence, R?R = (c) Use part (b) to find a power series forf(x) =x2(6 + x)3.f(x) =∞ leftparen1.gif(−1)n(n+2)(n+1)xn+26n+3​ rightparen1.gifsum.gifn = 2What is the radius of convergence, R?R =

Answers

(a) Wild guess:

[tex]f(x)=\dfrac1{(6+x)^2[/tex]

Recall the power series

[tex]\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n[/tex]

With some manipulation, we can write

[tex]\displaystyle\frac1{6+x}=\frac16\frac1{1-\left(-\frac x6\right)}=\frac16\sum_{n=0}^\infty\left(-\frac x6\right)^n=\sum_{n=0}^\infty\frac{(-x)^n}{6^{n+1}}[/tex]

Take the derivative and we get

[tex]\displaystyle-\frac1{(6+x)^2}=-\sum_{n=0}^\infty\frac{n(-x)^{n-1}}{6^{n+1}}[/tex]

[tex]\displaystyle=-\sum_{n=1}^\infty\frac{n(-x)^{n-1}}{6^{n+1}}[/tex]

[tex]\displaystyle=-\sum_{n=0}^\infty\frac{(n+1)(-x)^n}{6^{n+2}}[/tex]

so we have

[tex]\displaystyle\frac1{(6+x)^2}=\sum_{n=0}^\infty\frac{(n+1)(-x)^n}{6^{n+2}}[/tex]

By the ratio test, this series converges if

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+2)(-x)^{n+1}}{6^{n+3}}}{\frac{(n+1)(-x)^n}{6^{n+2}}}\right|=\left|\frac x6\right|\lim_{n\to\infty}\frac{n+2}{n+1}=\left|\frac x6\right|<1[/tex]

or [tex]|x|<6[/tex], so that the radius of convergence is [tex]R=6[/tex].

(b). If we take the second derivative, we get

[tex]\displaystyle\frac2{(6+x)^3}=\sum_{n=0}^\infty\frac{n(n+1)(-x)^{n-1}}{6^{n+2}}[/tex]

[tex]\displaystyle=\sum_{n=1}^\infty\frac{n(n+1)(-x)^{n-1}}{6^{n+2}}[/tex]

[tex]\displaystyle=\sum_{n=0}^\infty\frac{(n+1)(n+2)(-x)^n}{6^{n+3}}[/tex]

[tex]\displaystyle\frac1{(6+x)^3}=\frac12\sum_{n=0}^\infty\frac{(n+1)(n+2)(-x)^n}{6^{n+3}}[/tex]

Apply the ratio test again and we get [tex]R=6[/tex].

(c) Multiply the previous series by [tex]x^2[/tex] and we get

[tex]\displaystyle\frac{x^2}{(6+x)^3}=\frac12\sum_{n=0}^\infty\frac{(n+1)(n+2)(-x)^nx^2}{6^{n+3}}[/tex]

[tex]\displaystyle=\frac12\sum_{n=0}^\infty\frac{(n+1)(n+2)(-1)^nx^{n+2}}{6^{n+3}}[/tex]

The ratio test yet again tells us [tex]R=6[/tex].

Steve is buying apples for the fifth grade. Each bag holds 12 apples. If there are 75 students total, how many bags of apples will Steve need to buy if he wants to give one apple to each student. Please show your work or explain. :)

Answers

75÷12=6.25

which means Steve needs 7 bags of apples total

A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?

Answers

Hello there!

To find which tuna is a better deal, divide the cost by the number of ounces of tuna you are getting to get the cost per ounce.

$0.90/5  = $0.18 per ounce

$2.40/12 = $0.20 per ounce

Since the 5-ounce can of tuna has a cheaper unit rate price, meaning you are getting a better value, makes this the best option. I hope this was helpful and have a great day! :)

The 5 once one hope this helps

Which is 3logx+4log(x-2) written we a single logarithm

Answers

Answer: option a.

Step-by-step explanation:

 To solve the given exercise and write the expression as a single logarithm, you must keep on mind the following properties:

[tex]log(a)+log(b)=log(ab)\\m*log(a)=log(a)^m[/tex]

Therefore, by applying the properties shown above, you can rewrite the expression given, as following:

[tex]3logx+4log(x-2)=logx^3+log(x-2)^4=logx^3(x-2)^4[/tex]

Then, the answer is the option a.

What is the domain of the function f(x)=x−16? f(x)=x−16?
The function is defined when f(x) is greater than or equal to 0, therefore the domain is f(x)≥0.
The function is defined only when x−16 is greater than 0, therefore the domain is x>16.
The function is defined for any value of x, therefore the domain is all real numbers.
The function is defined only when x is greater than or equal to 0, therefore the domain is x≥0.

Answers

Answer:

C

Step-by-step explanation:

f(x)=x-16 is just a straight line with a slope of one at a y intercept of -16. Therefore, x can hit all numbers in the x axis making the domain x is in the element of all real numbers.

Answer:

all real numbers

Step-by-step explanation:

literally the domain can be anything but the range is limited because of the vertical line check

The length of a rectangle is 3 times the width. The perimeter is 96 cm. Find the width and length.

Answers

Let width = X

Then length would = 3x

The perimeter is 2 times the length + 2 times the width, so half the perimeter would be the length plus the width.

L + W = 1/2 perimeter

L +w = 48

Replace L and W withe the variables from above:

3x + x = 48

Simplify:

4x = 48

Divide both sides by 4:

x = 48/4

x = 12

Now you have a value for x, replace x with 12 in the variables:

Width = x = 12 cm

Length = 3x = 3*12 = 36 cm

Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 3). Which expression defines the transformation of any point (x, y) to (x′, y′) on the polygons

Answers

Answer:

[tex](x',y')-->(x-3,y-2)[/tex]

Step-by-step explanation:

Notice that we can get from the x-coordinate of A, 1, to the x-coordinte of A', -2, by subtracting 3 from the x-coordinate of A. More formaly:

[tex]1+a=-2[/tex]

[tex]a=-2-1[/tex]

[tex]a=-3[/tex]

Similarly, we can get from the y-coordinate of A, 5, to the y-coordinate of A', 3, by subtracting 2 from the y-coordinte of A. More formaly:

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Now we now that to get to A' from A, we need to subtract 3 to the x-coordinate of A and subtract 2 to the y-coordinate. Knowing this, we can create the expression to translate any point of the polygon ABCD to create the polygon A'B'C'D':

[tex](x',y')-->(x-3,y-2)[/tex]

A bathtub in the shape of a rectangular prism is 20 feet long, 10 feet wide, and 5 feet deep. How much water could the tub hold?

Answers

Answer:

Step-by-step explanation:

Volume = length * width * height.

Volume = 20 * 10 * 5

The tub can hold 1000 cubic feet of water.

The amount of water tub hold is 28316.8 liters.

What is Volume?

Space is used by every three-dimensional object. The volume of this space is used as a measurement. The volume of an object in three-dimensional space is the amount of space it occupies within its boundaries. The capacity of the object is another name for it.

An object's volume can help us figure out how much water is needed to fill it, like how much water is needed to fill a bottle, aquarium, or water tank.

Given shape of bath tub is rectangular prism

which is  20 feet long, 10 feet wide, and 5 feet deep

length = 20 feet

width = 10 feet

height = 5 feet

to find the capacity of tub we need to calculate volume of tub

volume for rectangular prism = l x b x h

V = 20 x 10 x 5 = 1000 cubic feet

and 1 cubic feet = 28.3168 liter

1000 cubic feet = 28316.8 liter

Hence, the capacity of tub is 28316.8 liters.

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Solve by taking the square root of both sides

Answers

Answer:

option B

x = 1 + 3√6  or x = 1 - 3√6

Step-by-step explanation:

Given in the question an equation,

3(x-1)² - 162 = 0

rearrange the x terms to the left and constant to the right

3(x-1)² = 162

(x-1)² = 162/3

(x-1)² = 54

Take square root on both sides

√(x-1)² = √54

x - 1 = ±3√6

x = ±3√6 + 1

So we have two values for x

x = 3√6 + 1    OR  x = -3√6 + 1

Answer:

b.x = 1+3√6, 1-3√6

Step-by-step explanation:

We have given a quadratic equation.

3(x-1)²-162  = 0

We have to find the solution of given equation by taking the square root of both sides.

Simplifying above equation, we have

3(x-1)² = 162

Dividing above equation by 3, we have

(x-1)² =  54

Taking square root to both sides of equation, we have

x-1 = ±√54

x = ±√54+1

x = ±√(9×6)+1

x = ±3√6+1

x = 1+3√6, 1-3√6  which is the solution of given equation.

Stuck on this.. anyone down to help?

Answers

Answer:

B

Step-by-step explanation:

C and D dont make since to the problem

so i was left was A and B and i can't realy how i got my answer but i came down B

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this one you can solve easily.

take each equation and put number of miles in that , calculate cost and compare the table.

for example

taking first equation

c = 0.15m + 5.75

noe.from table take m = 10, after putting this we should get cost equal to 5.75 as mentioned in table.

c = 0.15×10 + 5.75 = 7.25 ≠ 5.75

so ignore this and take next equation

c = 0.15m + 4.25

m =10

c = 0.15×10 + 4.25 = 5.75

which matches with our table. putting other values of m from table gives us the right cost mentioned in table . so answer is option B

you can verify that no other equation satisfies the table data.

Verify the following trig identities​.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = [tex]\frac{1}{sinx}[/tex]

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

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

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

Length of the rug is 15 feet and the width of the rug is 3 feet. What is the area of the rug?

Answers

Answer:

Step-by-step explanation:

56 ft is the answer

Ice-Cream Palace needed 6 gallons of milk today to make their daily special. They had 6 1?2 quarts of skim milk and 1 pint of whole milk. How many pints of milk did they still need to buy?

Answers

Final answer:

The Ice-Cream Palace needed to buy 34 more pints of milk to reach their requirement for the daily special, as they only had 14 pints and required 48 pints in total.

Explanation:

To solve this question, we need to convert all the quantities to the same unit. In this case, we'll use pints, since it's the smallest unit given. We know that 1 gallon equals 4 quarts, and 1 quart equals 2 pints. Therefore, 1 gallon equals 8 pints.

Ice-Cream Palace needed 6 gallons of milk, which is 6 * 8 = 48 pints. They already had 6 1/2 quarts of skim milk and 1 pint of whole milk. The 6 1/2 quarts equals 6.5 * 2 = 13 pints.

So, in total, Ice-Cream Palace had 13 pints + 1 pint = 14 pints of milk. This means they still needed to buy 48 - 14 = 34 pints of milk for their daily special.

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Final answer:

The Ice-Cream Palace does not need to buy any more pints of milk because they already have more milk than they need.

Explanation:

To find the number of pints of milk the Ice-Cream Palace still needed to buy, we first need to convert the given quantities to the same unit. Since we need to find the number of pints, we'll convert the 6 gallons and 6 1/2 quarts to pints.

1 gallon = 4 quarts = 8 pints

So, 6 gallons = 6 x 8 = 48 pints

1 quart = 2 pints

So, 6 1/2 quarts = 6 x 2 + 1 x 2 = 12 + 2 =14 pints

1 pint is already given as 1 pint.

Now, to find the number of pints of milk still needed to buy, we subtract the total amount of milk they already have (48 pints + 14 pints + 1 pint) from the amount they need (6 gallons = 48 pints).

48 pints (needed) - (48 pints + 14 pints + 1 pint) (already have) = 48 pints - 63 pints = -15 pints

Since the result is negative, it means they have more milk than they need. So, they don't need to buy any more pints of milk.

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Bakersfield California was founded in 1859 when colonel Thomas baker planted ten acres of alfalfa for travelers going from Visalia to Los Angeles to feel their animals. The citys population can be modeled by the equation y=3340e^0.0397 where t is th number of years since 1950

Answers

Answer: option c.

Step-by-step explanation:

To solve the exercise you must apply the formula given in the problem, which is the following:

[tex]y=33,430e^{0.0397t}[/tex]

The problem asks for the projected population of Bakersfield in 2010.

Therefore, keeping on mind that  t is th number of years since 1950, you have that:

[tex]t=2010-1950\\t=60[/tex]

Substitute the value of t into the formula.

Therefore, you obtain:

 [tex]y=33,430e^{0.0397(60)}=361,931[/tex]

HELP PLEASE!! An artist is drawing three large circles on the ground with diameters of 6m, 10m, and 13m. Identify the area of each circle rounded to the nearest tenth of a meter.

Answers

Answer:

[tex]A1=28.3\ m^{2}[/tex],[tex]A2=78.5\ m^{2}[/tex],[tex]A3=132.7\ m^{2}[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

Part 1) Find the area of the circle with diameter 6 m

we have

[tex]r=6/2=3\ m[/tex] -----> the radius is half the diameter

substitute the values

[tex]A1=(3.14)(3)^{2}=28.3\ m^{2}[/tex]

Part 2) Find the area of the circle with diameter 10 m

we have

[tex]r=10/2=5\ m[/tex] -----> the radius is half the diameter

substitute the values

[tex]A2=(3.14)(5)^{2}=78.5\ m^{2}[/tex]

Part 3) Find the area of the circle with diameter 13 m

we have

[tex]r=13/2=6.5\ m[/tex] -----> the radius is half the diameter

substitute the values

[tex]A3=(3.14)(6.5)^{2}=132.7\ m^{2}[/tex]

The areas of the circles with diameters 6m, 10m, and 13m are approximately A₁=28.3 m², A₂ =78.5 m², and A₃=132.7 m², respectively.

To determine the area of each circle, we use the formula for the area of a circle: A = πr², where A is the area and r is the radius of the circle. First, we need to find the radii of the circles, which are half of their diameters.

For the circle with a diameter of 6 meters, the radius is 3 meters. The area is then π(3)² = 28.3 square meters (rounded to the nearest tenth).For the circle with a diameter of 10 meters, the radius is 5 meters. The area is then π(5)² = 78.5 square meters (rounded to the nearest tenth).For the circle with a diameter of 13 meters, the radius is 6.5 meters. The area is then π(6.5)² = 132.7 square meters (rounded to the nearest tenth).

Therefore, the areas of the circles are approximately 28.3 m², 78.5 m², and 132.7 m² respectively.

Name the property shown by each statement for each question:

Question 1: 2p + (3q + 2) = (2p + 3q) + 2

Question 2: 2t • 0 = 0

Question 3: m (nr) = (mn) r

Question 4: 0 + 2s = 2s

Answers

Question 1: Associative Property of Addition (It does not matter where the parentheses are if it is completely addition.)

Question 2: Identity Property of Multiplication (Multiply anything by 0 to get 0.)

Question 3: Associative Property of Multiplication (It does not matter where the parentheses are as long as there is at least one pair of parentheses and the expression is completely multiplication.)

Question 4: Identity Property of Addition (Add 0 to anything and it stays the same.)

Solve the equation. Round to the nearest hundredth. Show work.

[tex]1.2[/tex] · [tex]10x{4x} - 4.2 = 9.9[/tex]

Answers

Answer:

x=0.27

Step-by-step explanation:

We are given the equation;

[tex]1.2*10^{4x}-4.2=9.9[/tex]

The first step is to add 4.2 on both sides of the equation;

[tex]1.2*10^{4x}=14.1[/tex]

The next step will be to divide both sides of the equation by 1.2;

[tex]10^{4x}=11.75[/tex]

Next we take natural logs on both sides of the equation;

[tex](4x)ln10=ln11.75[/tex]

Finally, we divide both sides by 4*ln10 and simplify to determine x;

[tex]x=\frac{ln11.75}{4ln10}=0.27[/tex]

What is the value of x to the second power over y go the fourth power. When x = 8 & y = 2

Answers

x=8

y=2

8/2=4

the value of the x is 4

which pair of numbers, if included in this set, would NOT change the median?

{ 28, 27, 35, 47, 43, 37}

a- 35, 50
b- 37, 48
c- 36, 42
d- 24, 31

Answers

A 35, 50 the 2 numbers in the middle are 35 &47 still

The median of a set is defined as the middle element of the sorted set.

So, the only way to add two elements without changing the median is to add an element before it, and one element after it.

Think about it: if you are the middle element in a queue, and we add something before you and something after you, you're still in the middle:

[tex] \{2,\ 3,\ 4\} \mapsto \{1,\ 2,\ 3,\ 4,\ 5\}[/tex]

In both cases, the middle element is 3.

If, instead, we add two elements before 3,

[tex] \{2,\ 3,\ 4\} \mapsto \{0,\ 1,\ 2,\ 3,\ 4\}[/tex]

the median has changed, and similarly if we add two elements after 3

[tex] \{2,\ 3,\ 4\} \mapsto \{2,\ 3,\ 4,\ 5,\ 6\}[/tex]

the median has changed again.

So, if we sort our set, we have

[tex]\{27,\ 28,\ 35,\ 37,\ 43,\ 47\}[/tex]

And the middle elements are 35 and 37. The only option that adds something bigger than then and something smaller than them is option a.

Solve for x. 8x/7 + 9 = 30

Answers

Answer:18.375

Step-by-step explanation:8x/7+9=30

We simplify the equation to the form, which is simple to understand  

8x/7+9=30

Simplifying:

+1.14285714286x+9=30

We move all terms containing x to the left and all other terms to the right.  

+1.14285714286x=+30-9

We simplify left and right side of the equation.  

+1.14285714286x=+21

We divide both sides of the equation by 1.14285714286 to get x.  

x=18.375

Brainliest please :)

Answer: x=18 3/8

Step-by-step explanation:

I got it right on odyssey ware

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