What are the solutions of the equation (2x - 21 = 8?

Answers

Answer 1

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

                 

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.


Related Questions

Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?

A.
B.
C.
D.

Answers

Answer:

4x-3 or A

Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3

Answer:

Hi, this is a strange problem but I believe the answer is A) 4x-3.

Step-by-step explanation:

I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)

In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?

Answers

Answer:

44

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

The scatter plot below shows the relationship between hours spent on video games and hours spent on homework last week for students in Ginny's class.
Which of the following is the best estimate of the average change in homework time that was associated with a 1-hour increase in time spent on video games?

Answers

Answer:

-4/3 hrs

Step-by-step explanation:

trust me I just got it right ;)

The hour change rate is [tex]-\frac{4}{3}[/tex]

What is scatter plot?

'A scatter plot uses dots to represent values for two different numeric variables.'

According to the given problem,

Since the data shows mostly a linear trend, we can draw a line to estimate the rate of change.

The line approximately goes through (0,23) and (12,7).

Using the slope formula,

m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the respective values,

m = [tex]\frac{7-23}{12-0}[/tex]

m = [tex]-\frac{4}{3}[/tex]

Hence, we can conclude that each additional hour spent on video games is associated with approximately a [tex]-\frac{4}{3}[/tex] hour change in time spent on homework on average.

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REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)

Answers

Answer:

no.2 no.5

Step-by-step explanation:

i don't know how to explain

have a good rest of your day

Answer:

question (1) c^2=a^2+b^2

Step-by-step explanation:

pythagoras theorem

Subtract 5x−2 ​​from​ −3x+4 .




−8x+6

2x + 2

−8x+2

8x−6

Answers

Answer:

-8x+2

Step-by-step explanation:

i got a 100 on this test

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?

Answers

Answer:

Tax amount = $15.00 x 0.06 =0.9

Total amount of the basketball = $15.00 x 1.06 = $15.90

Answer:

Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90

Step-by-step explanation:

2 4/10 + 3 5/8 = what does it equal

Answers

2 4/10 + 3 5/8
= 6 1/40
6 1/40 is the right answer

When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.

Answers

Answer:

R(t) = 10 + 0.50t

Step-by-step explanation:

What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2

Answers

the answer is y=1/2x+2

Explanation:
When you do rise over run you get 1/2. For the y-intercept you can see the line touches 2 so the y-intercept is 2.
last one, .............

A student has a container with a volume of 1.5 liters. She estimates the volume to be 1.8 liters. By what percent is the students estimate off?

Answers

Answer:

20%

Step-by-step explanation:

Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)

Answers

Answer:

The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Step-by-step explanation:

We need to write an equation in slope-intercept form perpendicular to the given equation through the given point

y = -3x + 4

(6,-2)

The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope:

The given line is perpendicular to required line, so there slopes are opposite

The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)

The slope of required line is: [tex]m = \frac{1}{3}[/tex]

Finding y-intercept:

y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)

[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]

So, we get y-intercept b =0

Equation of required line:

So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:

[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answers

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

-12(x + 6.2) = 60 what does x equal​

Answers

Answer: its 11.2 my good sir

Step-by-step explanation:

Im jsut smort trust me its right

I need your help please!!

**the answer choices are in the pictures as well**

Answers

Answer:

The line test is the third graph that shows a vertical line with two points plotted.

Step-by-step explanation:

A line test is used to determine if a graph is a function. Every input should only have one output. Since when she inputs 1.5 she gets two different answers it is not a function.

I NEED HELP PLEASE !!!

Answers

Answer:

The first choice

Step-by-step explanation:

Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.

Answer:

option 1 or A

Step-by-step explanation:

it is the definition of perpendicular lines

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.

X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

Answers

Answer:

The description of the rotation is 180 degrees clockwise or counterclockwise rotation

Step-by-step explanation:

Here, we want to get the kind of rotation that maps the triangle into its new coordinates

we have this as;

(x,y) to (-x, -y)

that will be ;

a 180 degrees rotation or counter clockwise rotation

180 rotation so A

Step-by-step explanation:

A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me

Answers

Answer:

The ratio is 20:30, or 2:3 in simplest form

Plzzzzz give me Brainliest!  

Answer:

2/5 or 40%

Step-by-step explanation:

20 out of fifty is hard so make it 40 out of 100 and it's easy 40%

I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

Answers

Answer:

4:7  7 being to total number of marbles (part to whole ratio)

There are 16 blue marbles were in the bag before I added more.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratio of blue marbles to yellow marbles is 4 : 3.

And,  If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Now,

Since, The ratio of blue marbles to yellow marbles is 4 : 3.

Hence, Number of blue marbles = 4x

Number of yellow marbles = 3x

And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Then, We can formulate;

⇒ 4x + 5 / 3x - 3 = 7x / 3x

⇒ (4x + 5) / (3x - 3) = 7 / 3

⇒ 3 (4x + 5) = 7 (3x - 3)

⇒ 12x + 15 = 21x - 21

⇒ 15 + 21 = 21x - 12x

⇒ 36 = 9x

⇒ x = 4

Thus, The number of blue marbles = 4x

                                                      = 4 × 4

                                                      = 16

Learn more about the ratio visit:

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solve 6 (3x/2-4) =30

Answers

solve 6 (3x/2-4) =30

ANSWER

[tex]x = - \frac{10}{3} [/tex]

EXPLANATION

[tex] - 9x = 30[/tex]

[tex]9x = - 30[/tex]

[tex]x = - \frac{10}{3} [/tex]

HopeItHelps you

what is 5+1 please hurry

Answers

Answer: 6

Step-by-step explanation:

Help i cant figure this equation out 9x-7i 3(3x-7u)

Answers

Answer:

49i^3u−21i^3x+9x

Step-by-step explanation:

Explain the Pythagorean Theorem and triples using the side lengths 3,4,5.

Answers

Answer:

pythagorean theorem is a^2+B^2=c^2

plug in (3)^2+(4)^2=(5)^2

9+16=25

plz help me or dont lol

Answers

Answer:

x = 8

Step-by-step explanation:

:)

Answer:

8

Step-by-step explanation:

I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).

so 4x-6 = 7x-30

moving like terms together,

7x-4x = -6 + 30

3x = 24

x = 24/3

x = 8

HELPPP what is 2x - 5 by the Square root of 9

Answers

2x-15 is the answer for 2x-5 sq 9

(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner

Answers

SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

Which table represents a nonlinear function?

Answers

Answer: c

Step-by-step explanation:

SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT

Answers

Answer:

28cm

Step-by-step explanation:

7x4

or

7+7+7+7

If you spin the spinner, what is the probability of the pointer landing in the y section

Answers

Answer:

1/8

Step-by-step explanation:

Please help me with this question!!

Answers

Step-by-step explanation:

according to pythagoras theorem

Hypotenuse2 = Perpendicular2 + Base2

c2 = a2 + b2

therefore,

x2 = (4)2 + (4)2

x2 = 16 + 16

x2 = 32

x = √32

hence, x = 4√2

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