Given the equation StartFraction 2 x + 2 Over y EndFraction = 4 w + 2 what is the value of x?

Answers

Answer 1

Question:

Given the equation (2x + 2)/y = 4w + 2.

What is the value of x?

Answer:

x = 2wy + y - 1

Step-by-step explanation:

Given

(2x + 2)/y = 4w + 2

Required

Find x

To find the value of x; the following steps will be used.

First, Multiply both sides by y

y * (2x + 2)/y = (4w + 2) * y

2x + 2 = 4wy + 2y

Subtract 2 from both sides

2x + 2 - 2 = 4wy + 2y - 2

2x = 4wy + 2y - 2

Multiply both sides by ½

½ * 2x = ½(4wy + 2y - 2)

x = ½(4wy + 2y - 2)

Open bracket

x = ½ * 4wy + ½ * 2y - ½ * 2

x = 2wy + y - 1

Hence, the value of x is 2wy + y - 1

Answer 2

Answer:

B

Step-by-step explanation:

I took the test


Related Questions

A class of 64 students was given 320 book how many will each students take home

Answers

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?

Answers

Answer:

D,E

Step-by-step explanation:

hope I helped

Find the area of the triangle

Answers

Answer:

84mm

Step-by-step explanation:

Formula of a triangle:

A =bh/2

A=14(12)/2

A=168/2

A=84mm

Marco bought gifts for his family at the school gift shop for the holidays. Marco bought 10gifts and spent $11.50. How many of each item did he buy if friendship bracelets cost $1.50 and stickers cost $1?

Answers

Step-by-step explanation:

Marco bought 10 gifts = 11. 50

If 5 bracelets = 1.50 x 5 = 7.5

4 stickers = 4 x 1 = 4

So total cost = 7.5 + 4 = 11.5

Look at recent question

Answers

Answer:

ok was it college math if so the I don't know

6 to the power of 3 +7 times 4

Answers

Answer:

892

Step-by-step explanation:

What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10

Answers

Answer:

x = 5      x = -2

Step-by-step explanation:

y = x^2 – 3x – 10

Set the equation equal to zero

0= x^2 – 3x – 10

Factor

What 2 numbers multiply to -10 and add to -3

-5 *2 = -10

-5+2 = -3

0=(x-5) ( x+2)

Using the zero product property

x-5 = 0    x+2 = 0

x = 5      x = -2

Answer:

-2 and 5

Step-by-step explanation:

trust

The formula A=12(b+c)h. Write the equation in term of c?

Answers

Answer:

[tex]c = \frac{A}{12h} - b[/tex]

Step-by-step explanation:

Okay, so the goal is to isolate c on one side with all the other terms on the other side. So, let's start by dividing both sides with 12h. After we do that, we will be left with [tex]\frac{A}{12h} = b+c[/tex]. Now, we can subtract both sides by b, and we will be left with [tex]\frac{A}{12h} - b = c[/tex]. Yay! We've now isolated c and that is our final answer!

Hope this helped! :)


Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft

Answers

Answer: 17.32

Step-by-step explanation:

Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer:

(x - 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:

[tex]x^2[/tex] - 12x + 35

[tex]x^2[/tex] -7x - 5x + 35

Group:

([tex]x^2[/tex] -7x) (-5x + 35)

Take out the GCF (Greatest Common Factor):

x(x - 7)  -5(x - 7)

(x - 5) (x - 7)

Answer:

the answer is D

Step-by-step explanation:

x^2-12x+35=x^2-7x-5x+35=x*(x-7)-5(x-7)=(x-7)(x-5)

Classify each representation shown below as either linear or exponential.

x y
0 5
1 7.5
2 11.25


y = 2x + 4



One person sends an email to 2 people. Those 2 people send it to 4 people, and those 4 send it to 8 people.



Answers

1. Exponential

2. Linear

3. Exponential

1.] What is the probability of choosing a king
from a standard deck of playing cards?

Answers

Answer:

1/13

Step-by-step explanation:

there are 4 kings in a deck of 52 cards.

4/52 = 1/13

Micheal buys a basket of mangoes on sale for 4 dollars before tax. The sales tax is 12%. What is the total price Micheal pays for the basket of mangoes?

Answers

Answer:

$[tex]4.48[/tex] is the total price.

Step-by-step explanation:

Mulitply the total by the percentage.

[tex]4 * .12 = .48[/tex]

Add those together.

[tex]4 + .48 = 4.48[/tex]

Total price of mangoes: $[tex]4.48[/tex]

Given: 5(x + 2) - 3 = 4(x - 1)

Prove: x = -11

Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction

Answers

Answer:-11 proved

Step-by-step explanation:

5(x+2)-3=4(x-1)

Open brackets

5x+10-3=4x-4

Collect like terms

5x-4x=-4+3-10

x=-11

Distance between (-1,0) and (8,6)

Answers

Answer:

3 √ 13

Step-by-step explanation:

Answer:

3√13

Step-by-step explanation:

We want to find the distance between these two points. To do so, we need to use the distance formula which states that the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Here, [tex]x_1=-1,x_2=8,y_1=0[/tex], and [tex]y_2=6[/tex]. So:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

d = [tex]\sqrt{(-1-8)^2+(0-6)^2}=\sqrt{(-9)^2+(-6)^2} =\sqrt{81+36} =\sqrt{117} =3\sqrt{13}[/tex]

Thus, the answer is 3√13.

~ an aesthetics lover

Which description matches finding the volume of the solid ?

Answers

Answer:

As shown in the picture, the volume of solid is

V = Rectangular prism - half cylinder

Hope this helps!

:)

Answer:

Last option

Step-by-step explanation:

It's a cuboid/rectangular prism

The curve on top is due to half a cylinder being removed

1. Terry made $53
washing cars. She made
some money selling
cookies. In total she has
$67. How much money
did she make selling
cookies?​

Answers

Answer:

Terry made $14 selling cookies.

Step-by-step explanation:

[tex]67-53=14[/tex]

Answer:

$14

Step-by-step explanation:

She made $14 selling cookies.

$67-$53=$14

Tell the measure of the angles In degrees 1/4

Answers

Answer:

so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.

Step-by-step explanation:

Let me know if this help's you lol :)

The measure of 1/4 is 90°

Solve for x - y = -3

Answers

Answer:

0-3=-3

Step-by-step explanation:

What is x:
1. X-y= -3
2. Add y to both sides
3. X= -3+y

What is y:
1. X-y= -3
2. Subtract x from both sides
3. -y=-3-x
4. Divide both sides by negative 1
5. y=3+x

Solution;
-3+y, 3+x

Hope this helps!!

If a sample mean is 37,which of the following is most likely the range of possible values that best describes an estimate for the population mean?

Answers

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:

g(x) = - 3x - 8

g (____) =10

Answers

Answer: 6

-3x-8=10
-3x=18
x=6

When g(x) is equal to 10, x is equal to 6. So, g(6)=10

How do you determine similarities in shapes?

Answers

Answer:

Step-by-step explanation:

. if every corresponding internal angles in both shapes are equal

. if all corresponding sides are equal or have same ratio.

more rules but depends on the shape also ( triangle, rectangle, hexagon,...)

Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?

Answers

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239



If V = 15 cm, W = 20 cm, X = 25 cm, Y = 7 cm, and Z = 22 cm, what is the perimeter of the object?
A.
53 cm
B.
64 cm
C.
118 cm
D.
78 cm

Answers

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

arc length of a half of a circle with radius of 9

Answers

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic centimeters, can be found using the function V(r) = πr3. The number of ounces of coffee in the cylinder depends on the volume of the cylinder, V, in cubic centimeters. This can be modeled by the function C(V) = 3.2V. Which function can be used to find the number of ounces of coffee in the can based on its radius? C(V(r)) = 32.768πr3 C(V(r)) = 3.2πr3

Answers

Answer:

C(V(r)) = 3.2πr3

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

[tex]C(V(r))=3.2(\pi r^{3} )[/tex]

Therefore, the right answer is the last choice.

The sum of five consecutive integers is 70. What are the numbers?

Answers

Answer: The numbers are 12, 13, 14, 15, and 16.

Step-by-step explanation:

Write an algebraic equation.

x + (x+1) + (x+2) + (x+3) + (x+4) = 70

5x + 10 = 70

subtract 10 from both sides

5x = 60

divide each side by 5

x = 12

The numbers are 12, 13, 14, 15, and 16.

Answer:

12 to 16 :) hope it helped

A chessboard has 64 squares. George places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the third square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares.
Once George has put rice on the 10th square, he has placed a total of _____ grains of rice on the chess board.

Answers

Hey there! I'm happy to help out!

As you can see, our number keeps on doubling. It's like 2×2×2×2.... so on and so forth. Whenever we multiply a number by itself, we can model it as an exponent, so if we had 2², it is two twos being multiplied, and 2×2=4. If it was 2³, it would be 2×2×2=8.

However, we have a one. This signifies a starting point and exponents have our back. Anything to the 0th power is always equal to one! So, this situation would look something like this:

[tex]2^0, 2^1, 2^2, 2^3,2^4,... etc.[/tex]

So, for the second square, we are going to the first power. For the fourth square it's going to the third power. Therefore, the 10th square will be the 9th power!

[tex]2^9=[/tex] 2×2×2×2×2×2×2×2×2= 512

However, we want to find how much he has done in total! So, let's find how much he did on the other squares!

[tex]2^8[/tex]= 256

[tex]2^7[/tex]=128

[tex]2^6[/tex]=64

[tex]2^5[/tex]=32

[tex]2^4[/tex]=16

2³=8

2²=4

[tex]2^1[/tex]=2

[tex]2^0[/tex]=1

Now, we add these all up to find the total grains of rice!

512+256+64+32+16+8+4+2+1=895

Therefore, George has placed a total of 895 grains of rice on the chess board.

I hope that this helps! Have a wonderful day!

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

On the first square, George placed 1 grain of rice.

On the second square, he placed 2 grains.

On the third square, he placed 4 grains.

On the fourth square, he placed 8 grains.

In general, on the nth square, he places [tex]2^{n-1}[/tex] grains.

So,

On the first 10 squares,

1 + 2 + 4 + 8 + ... + [tex]2^9[/tex]

This is a geometric series with a first term of 1 and a common ratio of 2.

The sum of the first n terms of a geometric series.

[tex]S_n[/tex] =[tex]a(1 - r^n) / (1 - r)[/tex]

where a is the first term, r is the common ratio, and n is the number of terms.

Substituting the values,

[tex]S_{10}[/tex] = 1(1 - 2^10) / (1 - 2)

    = 1(1 - 1024) / (-1)

    = 1023

Therefore,

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ7

Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is the height of the particle. (a) What is tt when the particle has height 2020? t=t= (b) What is the velocity of the particle when its height is 2020? v⃗ =v→= (c) When the particle has height 2020, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter tt) as it moves along this tangent line.

Answers

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

[tex]r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}[/tex]    (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

[tex]5t=20\\\\t=\frac{20}{5}=4[/tex]

(b) The velocity of the particle is the derivative, in time, of the vector position:

[tex]v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}[/tex]    (2)

and for t=4 (height = 20):

[tex]v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}[/tex]

(c) The vector parametric equation of the tangent line is given by:

[tex]r_t(t)=r_o+vt[/tex]      (3)

ro: position of the particle for t=4

[tex]r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}[/tex]

Then you replace ro and v in the equation (3):

[tex]r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}[/tex]

Part(a): The value of [tex]t=4[/tex]

Part(b): Required vector [tex]L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Given vector equation is,

[tex]r(t)=cos(\pi t)\widehat{i}+sin(\pi t)\widehat{j}+5t\widehat{j}[/tex]

Vector equation:

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow indicating the direction.

Part(a):

When the particle has a height of 20

[tex]5t=20\\t=4[/tex]

Part(b):

The point on the curve is [tex](cos(4\pi),sin(4\pi),20) =(1,0,20)[/tex]

Differentiating the given equation with respect to [tex]t[/tex].

[tex]r'(t)=- \pi sin(\pi t)\widehat{i}+\pi cos(\pi t)\widehat{j}+5\widehat{k}\\r'(t)=- \pi sin(4\pi t)\widehat{i}+\pi cos(4\pi t)\widehat{j}+5\widehat{k}\\r'(4)=0\widehat{i}+\pi \widehat{j}+5\widehat{k}\\L(t)=r(4)+(t-4)r'(4)\\L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Learn more about the topic Vector equation:

https://brainly.com/question/24906745

Solve for a,b,and/or c
Help solve ASAP!

Answers

Answer:

a=90-67=23°

.................

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Consider the polynomial: StartFraction x Over 4 EndFraction 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction 2x5 + StartFraction x Over 4 EndFraction + 1 2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 2x5 + StartFraction x Over 4 EndFraction + StartFraction x cubed Over 2 EndFraction + 1 1 2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction In the middle of a basketball court, the circle has a diameter of 5 feet. IfMrs. Gilbertson's daughter walked around the circle 12 times, how far didshe walk? Use 3.14 for TT. * Q2.Make a prcis (along with a rough draft) of the following passage in no less than 40 words. Write down the word count for your rough draft as well as the prcis and give a suitable title to it.Edison, said the General, how much do you want for your Universal Printer? This was a very important moment. Edison thought that five thousand dollars would be a suitable price, but he was ready to take three thousand or even less.Luckily for him he decided that it might be better to leave the matter to the general and asked him what he thought would be the right price. Would forty thousand dollars suit you? asked the General.Edison was so astonished and excited that he almost felt his heart stop beating. At last he said thoughtfully, yes I think that is fair. All right, said the general, I will have an agreement drawn up; come round in three days and I will give you the money. (Word Count 127) Which ideology promotes allowing private buisnessess to produce goods and services according to the demands of consumers? Write one digit on each side of 73 to make a four digit multiple of 36. How many different solutions does this problem have? 10. What present does Hagrid buy Harry?Chapter 5 To make a cheese sandwich, what ratio of bread slices to cheese slices do you need?And Try to make a cheese sandwich with two slices of bread and two slices of cheese. What happens?2 answers = 7 points The conclusion of the Mexican-American war raised the stakes in the fight over ___? What are the possible anticodons in the tRNA molecules that carry serine to the ribosome? Calculate the area for the shape above. Round answer to the nearest hundredths What Spanish possession did the untied states purchase under the treaty of Paris formula of calcium phosphide Which statement is false? Marginal cost and marginal productivity are inversely related. Marginal cost is the change in a firm's total cost due to a one unit change in output. Costs that are small and unimportant with little impact on profits are called marginal costs. A marginal cost curve will always intersect the average total cost curve at the minimum average total cost. Consider the table. Output 0 1 2 3 4 5 6 7 8 9 10 Total cost 100 110 115 125 140 160 190 230 280 340 420 What is the marginal cost of the fifth unit based on the table? $0 $20 $20 $160 Match the plot events of Count of Monte Cristo by Alexandre Dumas with the appropriate plot elements.expositionrising actionclimaxfalling actionresolutionAfter completing his quest for revenge, Dants does a good deed for his valued friend Maximilian Morrel. He reunites Morrel with a lost lover. This kind act brings great joy to Morrel.Dants feels content after successfully reuniting the two lovers. He sails away to an unknown location, never to be seen again.In prison, Dants learns who set him up and caused his downfall. He soon escapes from prison and sets off on a quest for revenge. He vows to spend his fortune rewarding those who have been kind to him and punishing those who have harmed him. Over time, Dants brings complete devastation upon his enemies, Danglars, Fernand, Caderousse, and Villefort.Edmond Dants is a young, handsome, and talented man. After returning home from a long voyage, he's set to become captain of a ship and also marry his beautiful fiance, Mercds.Dantss perfect life causes three men, Danglars, Fernand, and Caderousse, to feel extremely jealous. They conspire to get Dants jailed for a crime he didn't realize he had committed. Their scheme succeeds when Villefort, the assistant crown prosecutor, realizes he can further his career by playing along. Dants is left to rot in jail. simplify- 5^23 x 5^15 Is a percent increase for 50 to 70 = to the percent decrease from 70 to50 Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.4x+9 Which student wrote an equation with a solution of x = -8Jenna: -3 ( x - 9 ) = -3Archer: 4 ( 2x - 16 ) = 16bothneitherjenna archer Solve the equation.29= p x 20p= __ In ecology, what is meant by the term "community"?