1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18​

Answers

Answer 1

Answer:

Only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Step-by-step explanation:

Given the expression

(5x+6) over 2 = 3-(4x + 12)

Let us simplify the expression

[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]

Multiply both sides by 2

[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]

[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]

Expand -(4x + 12) = -4x - 12

[tex]5x+6=-8x-18[/tex]

Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].

Further solving

[tex]5x+6=-8x-18[/tex]

Add 8x from to both sides

[tex]5x+8x=-8x-24+8x[/tex]

Simplify

[tex]13x=-24[/tex]

Divide both sides

[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]

Simplify

[tex]x=-\frac{24}{13}[/tex]

Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Answer 2

Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help


Related Questions

What is the answer
5+7+9+8=

Answers

Answer:

29

Step-by-step explanation:

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.

Answers

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

How do you solve the following word problem

A small radio transmitter broadcasts in a 49 mile radius. If you drive along a straight line from a city 67 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?


I must give the answer in miles and am unclear as to what equations to use and need details on what equations to use to get to the correct answer.

thanks for any help.

M

Answers

Answer:

Step-by-step explanation:

Let the transmitter be located at (0,0)

The equation for its effective coverage area will be a circle centered at  (0,0)  with a radius of 49.

So....the equation is  

[tex]x^2 + y^2 = 49^2[/tex]

[tex]x^2 + y^2 = 2401[/tex]

Let the point 67 miles north of the transmitter be (0, 67)

Let the point 63  miles east of the transmitter be (63, 0)

The line connecting these (the line of travel)  will have a slope of

[67 - 0] / [ 0 - 63]  =  -67/63

The equation of this line will be: y  = (-67/63)x  + 67

The signal will be received between the points:

(21.681, 43.942)  and (45.192, 18.938)

The distance between these points  is

[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex]    (1)

The distance  between (0, 63) and (67, 0)

[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)

So....you will receive the signal using  (1)/ (2)    

(34.322 / 91.97) x 100  ≈  37%  of the drive

please help mee with this thing

Answers

it’s c) but my answer has to me 20 things long so yah
The answer is C because the shape is the same and the size of the sides have increased by the same ratio

words every 20 minutes, whilo Becky's rate is represented by the graph below. Who types at a faster rate , Armav or Becky? PLEASE HELP I WILL MARK YoU BRAINALIST!!!!

Answers

Answer:

The anwser is 1340

Step-by-step explanation:

divide 335 by 5 then multipilyby 20

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PLS SHOW THE WORK!!!!!!!!

Answers

Now im not 100% sure, but this is what i got (for number one).

y=2x−1

Swap sides so that all variable terms are on the left hand side.

2x−1=y

Add 1 to both sides.

2x=y+1

Divide both sides by 2.

2x/2 = y+1/2

​Dividing by 2 undoes the multiplication by 2.

So therefore, X = Y+1/2.

(i couldnt explain that very well im sorry, i dont know the 2nd answer im very bad at these)

​  

 

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

express using algebra A inscreased by 15%

Answers

Answer:

A(1.15)

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE BRAINLIEST TO RIGHT ANSWER FIND X

Answers

9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

Corresponding sides are proportional.

  full length/right segment = 36/20 = (x+5+30)/30

Multiplying by 30 gives ...

  54 = x +35

  19 = x . . . . . . . subtract 35

ASAP I WILL GIVE BRAINLIEST

Which statements apply to the expression 5 ?

The answers/options r in the pic​

Answers

Answer:

ok so in my math class I just learned this so sry if I am wrong but so

Answer:

Options 1, 3, 4, 7

Step-by-step explanation:

I'm guessing you meant the expression 3/5^3.

The base would be 3/5 because that is the number that the exponent is raising.

The exponent is 3 because that's the small number above and to the right of 3/5.

The expanded form is 3/5 × 3/5 × 3/5 because there's an exponent of 3. An exponent means you multiply the number by itself, the number of times it's being raised to. The exponent is 3 and 3/5 is being multiplied 3 times.

The solution would be 27/125 because when you multiply fractions, you just multiply straight across. 3 × 3 × 3 is 27 and 5 × 5 × 5 is 125.

I hope this makes sense, it's kinda hard to make it understandable without being able to actually talk to you.

what is the answer of this question? ​

Answers

Answer:

Its B.

Step-by-step explanation:

Because [tex]11^{2}[/tex] + [tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]

121 + 144 [tex]\neq[/tex] 225

265 [tex]\neq[/tex] 225

what type of number is -
[tex] \sqrt{16} [/tex]

Answers

Answer:

perfect square / rational

4

Step-by-step explanation:

Answer:

root of 16. or 4

Step-by-step explanation:

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y

Answers

Answer:

[tex]Volume = \frac{384}{7}\pi[/tex]

Step-by-step explanation:

Given (Missing Information):

[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]

Required

Determine the volume

Using Shell Method:

[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]

First solve for a and b.

[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]

Substitute 8 for y

[tex]8 = x^\frac{3}{2}[/tex]

Take 2/3 root of both sides

[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]

[tex]8^\frac{2}{3} = x[/tex]

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

[tex]2^2 = x[/tex]

[tex]4 =x[/tex]

[tex]x = 4[/tex]

This implies that:

[tex]a = 4[/tex]

For [tex]x=0[/tex]

This implies that:

[tex]b=0[/tex]

So, we have:

[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]

[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]

The volume of the solid becomes:

[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]

Open bracket

[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]

[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]

[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]

Integrate

[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]

Substitute 4 and 0 for x

[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]

[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]

[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]

[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]

[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]

Take LCM

[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]

[tex]V = 2\pi * [\frac{448-256}{7}][/tex]

[tex]V = 2\pi * [\frac{192}{7}][/tex]

[tex]V = [\frac{2\pi * 192}{7}][/tex]

[tex]V = \frac{\pi * 384}{7}[/tex]

[tex]V = \frac{384}{7}\pi[/tex]

Hence, the required volume is:

[tex]Volume = \frac{384}{7}\pi[/tex]

The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.

How to calculate the volume of a solid of revolution by shell method

Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:

[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)

If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]

[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]

[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]

[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]

[tex]V = \frac{10240\pi}{3}[/tex]

The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]

Remark

The statement is incomplete. Complete form is shown below:

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

2. 7 2/6 + 1/12 = M
A.7 3/18
B.7/18
C.7 2/12
D.7 5/12
3. 1 6/10 + 1 4/5 = ?
A. 2 10/15
B. 2 10/50
C. 3 4/10
D. 3 10/10
4. 5/8 + 1/2 = Z
A. 9/8
B. 6/8
C. 1
D. 1 5/8
5. 2/12 + 2/4 = R *
A. 4/16
B. 8/16
C. 4/12
D. 8/12

Answers

Answer:

2 a 3 d 4 c 5 b

Step-by-step explanation:

put a digit in the gap, such that the answer is a whole number 10x + 11 = 144

Answers

Answer:

13.3 or 13

Step-by-step explanation:

10x+11=144

10x=144-11

10x=133

x=133/10

x=13.3

PLEASE HELP AND VERY FAST​

Answers

Answer:

B

Step-by-step explanation:

I am so sorry if that is incorrect

Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This number represents 60 percent of the school enrollment. How many students are enrolled?

Answers

Answer:

give me 1 second to answer with the correct answer

Which point is a reflection of (-3,-3) across the y-axis?
(-3, 3)
(3, 3)
0 (-3,-3)
o
(3,-3)

Answers

Sorry if it’s too late, but I worked it out for you.

The point which is a reflection of (-3,-3) across the y-axis is, (3, - 3)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The point is,

⇒ (- 3, - 3)

Now, We know that;

The rule of reflection after across the y - axis is,

⇒ (x, y) = (- x, y)

Thus, The point which is a reflection of (-3,-3) across the y-axis is,

⇒ (x, y) = (- x, y)

⇒ (-3, -3) = (- (-3), -3)

              = (3, - 3)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

A CD costs $13.50 before tax. What is the total cost after a 8% sales tax is added?

Answers

Answer:

$14.58

13.50+1.08= $14.58

D
Angles that have the same
_________________
are called
__________________
angles.

Answers

Answer:

Can’t trust anyone these days fake is becoming the new trend.

how would I do linear expression

Answers

Answer:

Linear expression is linear equations

Step-by-step explanation:

HELP ME NOW ASAPPP UnU

Answers

56.757 IF U DIVIDE BY IT U GET 676.75

Answer:

56.757 and if u divide it : 676.75

Step-by-step explanation:

uwu

5 more than the product of 12 and 8 as a numerical expression.

Answers

Answer:

(12x8) + 5

Step-by-step explanation:

The product of 12 and 8 would be multiplication, so you can represent that as

(12x8) or 12x8

"5 more" simply means addition

So if you were to put all that together as a numerical expression it would be

(12x8) + 5

Hope  this helps!



The answer is 12x8+5

At a gourmet coffee shop. 3 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112. On the grid below, graph a line that shows how the cost of these coffee
beans varies proportionally with the number of pounds purchased. Use your graph to identify the unit rate for these coffee beans.
PLEASE ITS DUE IN A HOUR

Answers

Answer:

In the question, it says that this is a proportional relationship.

A proportional relationship is something like:

y = k*x

So when we have x = 0, we also need to have y = 0.

For the case in the question, this does not happen, so i guess that the actual question is:

"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."

We can define:

x = amount of coffee

y = price of that coffee

Now we have two pairs:

$56 to get 3.5lb

$112 to get 7lb

Then we have two points:

(3.5lb, $56)

(7lb, $112)

We can draw these two points and then connect them with a line, this line will represent the proportional relationship.

Now we need to look at the value 1 in the x-axis, then draw a vertical line

At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.

(you can see a rough sketch of this in the image below)

The solution is 1lb of coffee costs $16.

HELP ME PLEASEEE ASAPPP

Answers

I believe the answer is A

Evaluate 7y - 2
when y = 9

Answers

Answer:

The answer is 61.

Step-by-step explanation:

7(9)-2

63-2

61

Answer:61

7*(9)-2

63-2

61

Hope it's useful

Which function rule represents the data in the table below ?

y = 4 + 5 x
y = 3 + 6x
y= 5 + 4x
y = 6 + 3x

Answers

The answer is y = 3 + 6x. This is because if you put the numbers in replacement for x and y, it will always equal.

I need help I’m not sure if this the right answer.!

Answers

Answer:

is A

Step-by-step explanation:

00000000000000000000000000

Answer:

Its 0 because 12+ (-12) = 0

Factor each expression:
27+12
12+36
16+20
2x+8
30+12x
42x+49

Answers

3(9+4)
4(3+9)
4(4+5)
2(x+4)
6(5+2x)
7(6x+7)

x-1/x^2 - x - 20 Give the equivalent numerator if the denominator is (X - 5)(x + 4)(x + 3)
x^2 + 2x + 3
x^2 + 2x - 3
x^2-3​

Answers

Answer:

[tex]x^2+2x-3[/tex]

Step-by-step explanation:

Note that [tex]x^2-x-20=(x-5)(x+4)[/tex], so, if the denominator is [tex](x-5)(x+4)(x+3)[/tex], we need to multiply the numerator by [tex](x+3)[/tex]. And [tex](x-1)(x+3)=x^2+2x-3[/tex].

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