Solve for x, 3x+21=8x*54

Answers

Answer 1

Answer:

Exact form: 7/143

Decimal form: /0.048951

Answer 2

Answer:

[tex]x=\frac{7}{143}[/tex]

Step-by-step explanation:

Simplify the right side of the equation. [tex]3x+21=432x[/tex]. Subtract 21 from both sides of the equation. [tex]3x=432x-21[/tex]. Subtract 432x from both sides of the equation, [tex]-429x=-21[/tex]. The negative signs cancel out to get [tex]429x=21[/tex]. Divide both sides but 429 to get [tex]x=\frac{21}{429}[/tex].  Reduce to get [tex]x=\frac{7}{143}[/tex].


Related Questions

Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?

Answers

Answer:

the height of the triangle is 47 inches

Please help I am giving brainliest!

Answers

Answer:

6.3 in.^2

Step-by-step explanation:

The diameter of the circle is 4 in., so the radius of the circle is 2 in.

[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]

The two central angles have a total measure of 60 deg + 110 deg = 170 deg.

The central angle of the shaded sector is 360 deg - 170 deg =  190 deg.

We will use n = 190 deg in the area formula.

[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]

[tex] A_{sector} = 6.3~in.^2 [/tex]

What is the value of the expression below?
13 - (-9)

Answers

13 - (-9)
13 - 9 = 4

A red t-shirt costs $9.50. A black t-shirt costs 4 times as much as the red t-shirt. How much does the black t-shirt?
A. $36.50
B. $28.25
C. $36
D. $38

Answers

Answer: D or $38

Step-by-step explanation:

Answer: The answer is D) $38.

Step-by-step explanation:

When you multiply $9.50 by 4 you get $38.

Find the number that belongs
in the green box.

Round your answer to the nearest tenth.

Answers

Answer:

24.2

Step-by-step explanation:

There is but one answer to this. It appears below.

Let's try it out and see what happens. We'll do it the way it sits.

Sin 40/8 = sin(x) / 7             Multiply both sides by 7

7* Sin(40) / 8 = sin(x)

Sin(40) = 0.6428

7 * 0.6428 / 8 = sin(x)

.56245 = sin(x)

x = sin-1(0.56245)

x = 34.23

Rounded to the nearest tenth, it is 24.2

Answer: 34.2

Step-by-step explanation:

Hope this helps!

(5,1) (3,2) Write the equation in point-slope form​

Answers

Answer: y-1=-1/2(x-5)

Step-by-step explanation:

[tex]\frac{2-1}{3-5}[/tex]

-1/2 slope

y-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

y-1=-1/2(x-5)

y-1=-1/2x +5/2

y=-1/2x+7/2


5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *

what is given​

Answers

20m = length of rope
20m / 10 = 2m

Each piece is 2m long.

Answer:

each piece is = 3 m long

Step-by-step explanation:

20 /10= 2

their how much will they pay ifame lasts for 4 hours 6 hours or 8 hours​

Answers

Answer:

There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:

24 divided by 4 times d

Answers

Answer:

i think 6 not sure tho sorry if its worng

Trains Two trains, Train A and Train B, weigh a total of 192 tons. Train A is heavier than Train B. The
difference of their weights is 120 tons. What is the weight of each train?​

Answers

Hi there!

So we know that the two train together is a total of 192 tons and the difference of their weights is 120 tons...

Ok let think...

When we’re looking at the once place, you’ll see a two... this means that the two train both have a ending of 1 since 2 is split into 1...

That would be another clue..

Now let think again...

If it would be 151 and we subtract by 120.. we would get...

[tex]151-120=31[/tex]

Well it ends with a 1 so it would be perfect but we have to see if 151 and 31 together adds up with the total of 192..

[tex]151+31=192[/tex]

This means that train A could be 151 tons or 31 tons and train B can also be wither 151 tons or 31 tons...

AAAHHHHH!!!!!!! SOMEONE HELP!!!!

Answers

Answer:

43.10

Step-by-step explanation:

Je parle une ciart mwoa

The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?


A.

(-5, 1)


B.

(-4, -1)


C.

(4, -5)


D.

(4, 4)

Answers

The anwser is D...........

The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

What is a transformation of a shape?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).

The rectangle is rotated 180º counterclockwise about the origin.

The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).

Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

Select the correct answer. What is the solution to the equation? 3(x + 9)^3/4 = 24​

Answers

Answer:

C~7

Step-by-step explanation:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

[tex]\rm 3(x + 9)^{3/4} = 24[/tex]

After solving:

[tex]\rm (x + 9)^{3/4} = 8[/tex]

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2

40 cm
42 cm
What is the length of the hypotenuse?

Answers

Answer:

by Pythagoras theorm

H² = B² + P²

H². = 40² + 42²

= 1600 + 1764

= 3364

= 58²

H = 58

hope it helps

Given m∥n, find the value of x.

Answers

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

When finding the volume of a rectangle shaped 3D box, what formula do you use?

Answers

Answer:

length x width x height

l x w x h

THURSDAY Draw this model on a piece of 1 peper. Hank cut his pizza into 10 pieces and ate 6 of the pieces. Rose cut her pizza into 5 pieces and ate the same amount as Hank Show this on the drawing​

Answers

Answer:

Rose: 6/5 or 1.2

Hank: 6/10 ÷ 6 = 0.1

Step-by-step explanation:

89% out of 100 that this is correct

89 out of 100% that is correct

is the ordered pair (1, -3) a solution to
3x + 5y = -8?

Answers

Answer:

Yes give Brainliest

Step-by-step explanation:

To find y place the other terms in the equation to the right

hand side of the equation.

Thus : 5y = 7 - 3x

( now divide both sides by 5 )

⇒ 5y5=7−3x5=15(7−3x)

now will you give brainliest?

f(x) = 3sinxº
Find f(22)
Give your answer correct to 3 significant figures.

Answers

Answer:

f(22) = 1.12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3sinx°

f(22) is x = 22

Step 2: Evaluate

Substitute in x:                                                                                               f(22) = 3sin22°Trig:                                                                                                                 f(22) = 3(0.374607)Multiply:                                                                                                           f(22) = 1.12382Round:                                                                                                            f(22) = 1.12

Find the length of JL.

Answers

4.5 units is the value of the length of JL

Which equation represents the line through the points (3,2) and (-9,6) ?
x + 3y = 9
3x - y = -9
O x - 3y =9
3x + y =9

Answers

Answer:

Step-by-step explanation:

(3,2),(-9,6)

slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3

y = mx + b

slope(m) = -1/3

use either of ur points...(3,2)....x = 3 and y = 2

now we sub into the formula and find b, the y int

2 = -1/3(3) + b

2 = -1 + b

2 + 1 = b

3 = b

so ur equation is : y = -1/3x + 3 <==

James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?

Answers

Answer:

3000

Step-by-step explanation:

Answer:  700 square inches

===============================================================

Explanation:

The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.

Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.

The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.

Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).

Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2

Answers

69

Step-by-step explanation:

2+ x = 5

x + 1 = 4

9 + x = 6

x + (negative 4) = 7

Negative 5 + x = negative 2

2 + x = 5
x + 1 = 4
-5 + x = -2

In all of these, x is positive 3.

Substitutions can have different
values

A. True
B. False

Answers

1Answer:

Step-by-step explanation:

Substitutions can have different values so I believe it is true

if

sin150°=1/2 fiind sin75°​

Answers

Answer:

thank u for free points

Step-by-step explanation:

......


Divide 110 between two friends so that one gets 16 more than the other. solve the equation ​

Answers

Answer:

47 and 63

Step-by-step explanation:

Let x be the number one friend gets.

This means the second friend will get x + 16

x + x + 16 = 110

2x + 16 = 110

2x = 94

x = 47

One friend gets 47, and the other gets 63

I have to turn this in at 5:00

Answers

Answer:

1/8

Step-by-step explanation:

Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)

.5*.25=.125 or 1/8

Find the length of BC.

Answers

Step-by-step explanation:

sin 60 = perpendicular / hypotenuse

sin 60 = BC / AB

sin 60 =. BC / 10

√3 / 2 = BC/ 10

BC = 5√3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Enter
31/100 as a money amount and as a decimal in terms of dollars.

Answers

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

please HELP ITS A GRADE AND TIMED I WILL MARK BRAINLIEST

Answers

Answer:

Domain: All Real Numbers

Range: y<0

Step-by-step explanation:

Looking at the graph, you can tell that the variable y has a lower point.

( I'm not sure how accurate this is I'm doing the same test right now. ;-;)  

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