2x + 21 = 5x. What is the first step in finding the value of x?

Answers

Answer 1

Answer:

x=7

Step-by-step explanation:

isolate the variables by dividing each side by factors that dont contain the variable x=7

Answer 2

Answer: The first step would be combine like terms, rather -2x on both sides so that you do not end up with a negative. Then divide by 3 on both side after that, the 3 on the right cancel each other out then your left with 7 = x

Step-by-step explanation:


Related Questions

Kristen is making accessories for the soccer team. She uses 763.98 inches of fabric on headbands for 32 players and 2 coaches. She also uses 272.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

22.47 in of fabric on headbands

8.51 in of fabric on wristbands

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 32+2= 34

for each person she uses = 763.98/32= 22.47 in of fabric on headbands

She also uses 272.32 inches of fabric on wristbands for just the players

For each player, she will use= 272.32/32= 8.51 in of fabric

Hence for each player, she used

22.47 in of fabric on headbands

8.51 in of fabric on wristbands.

Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut?

Answers

Answer:

12 1/2

Step-by-step explanation:

Answer:

12 pieces and 1/5 is left over

Step-by-step explanation:

5m – 8 = 3m + 8 for m

Answers

Answer:

m=8

Step-by-step explanation:

find the unit rate.
1/3 kilograms : 2/3 foot.
the unit rate is kilograms per foot.

Answers

Answer:

The unit rate is 1/2 or 0.5 kilograms per foot

Step-by-step explanation:

In order to find the unit rate we have to divide the number of kilograms by the number of feet

Given information is:

1/3 kilograms : 2/3 foot.

Let u be the unit rate

The unit rate will be calculated as:

[tex]u = \frac{\frac{1}{3}}{\frac{2}{3}}[/tex]

When dealing with fractions

[tex]\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}[/tex]

So

[tex]u = \frac{1}{3} * \frac{3}{2}\\u = \frac{1}{2}[/tex]

Hence,

The unit rate is 1/2 or 0.5 kilograms per foot

The length of a rectangular courtyard can be represented by (3x+5) and the width by (2x-3). Create an expression that represent the area of the courtyard. A= l times w

Answers

Given that,

Length of a rectangular courtyard = (3x+5)

Width of a rectangular courtyard = (2x-3)

To find,

The expression for area of the courtyard.

Solution,

The area of the rectangular shaped object is given by :

A = lb

Substituting all the values,

A = (3x+5) (2-3)

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

= 6x-9x+10-15

= -3x-5

So, the area of the courtyard is (-3x-5).

By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:

A = 6x^2 + x - 15

We know that the area of a rectangle of width W and length L is given by:

A = W*L

Here we know that:

L = 3x + 5

W = 2x - 3

Now we can just replace these in the area equation to get:

A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15

A = 6x^2 + x - 15

This is the expression that represents the area of the courtyard.

If you want to learn more, you can read:

https://brainly.com/question/2295917

Solving 2 step equations
Check the image for questions
This is for my sister

Answers

Answer:

1. x = 3

2. p = -3

3. a = 4

4. n = -2

5. g = 2

6. k = -18

7. s = 18

8. c = -8

9. a = -6

10 v = 9

Which story problem could be solved using the given equation? 14×35=m​

Answers

Answer:

the answer is 390

Step-by-step explanation:

you see M means = when youre talking about money you put a M so the question is 14x35=390 hope it HELPS!!!!!!!!!

what is 4 2/3 in a proper fraction.

Answers

Answer:

14/3(I believe you mean improper fraction)

Step-by-step explanation:

4 mutiply 3 plus 2

14/3 because 4 times the 3 which is 12 then add 2 which equals 14 then put the 3 under the 14

How do you plot the polar coordinate ( − 3 , − π 3 ) ?

Answers

9514 1404 393

Answer:

  see attached (black dot)

Step-by-step explanation:

We assume you want to plot (r, θ) = (-3, -π/3), where the angle is in radians.

The basic idea is to locate the ray that is in the direction -π/3 radians, then go 3 units in the opposite direction. The point (3, -π/3) is identified in the attached graph by a red circle. Its reflection across the origin is how you plot the point for a negative radius. That reflected point is the black dot.

The equivalent coordinates are ...

  (r, θ) = (-(-3), -π/3+π) = (3, 2π/3)

(0.9)+'
What is the approximate rate of decay in the exponential function f (t)
?
A
0.02
B.
0.1
С
0.11
D
0.9

Answers

Answer:

soooo u do dis and dat and OPE lookit the time

Dum Step-by-step explanation:

looks like its time to act dum ayy friend me. im givin out free points every weekday. if its friday, i do it every hour, called free point friday. check me out.

(9b +9) + (4n - 4) + (6d + 2) =


Pleaseee help hurry

Answers

Answer: 9b+4n+6d+7

Step-by-step explanation:

1. 9b+9+4n−4+6d+2

2. 9b+4n+6d+(9-4+2)

3. 9b+4n+6d+7

Answer
4n+6d+9b+7

Explanation
Subtract 4 from 9 to get 5
Add 5 and 2 to get 7

Solve for X
8x - 10
110

Answers

the total angle inside the U-shaped is 180 degree.

110 + (8x-10) = 180

8x-10 = 70
8x = 80

x = 10
The answer is 10
8(10)-10=70
If you take the measurements of the two angles that are given their sum should equal 180
So you subtract 110 from 180 to find out what 8x-10 should equal.
180-110=70
Therefore
8x-10=70
Add 10 to both sides
8x=80
Divide by 8 on both sides
x=10

PLEASE HELP!! WILL GIVE BRAINLY!!!

Answers

Answer:

x = 102 degrees

Step-by-step explanation:

Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.

2x-37 = x+65

Subtract x from the left to isolate the variable and add 37 to the right.

x = 102

Jhon is saving for his trip to see Alamo. He started with 22 in his savings account every week he earns 15$ For babysitting.Out of that he spend 7$ And saves the rest Jhon uses the rule add 8 to find out how much money he has at the end of each week

Answers

Answer: $30

Step-by-step explanation:

John earns $15 and spends $7. The amount left for saving is;

= 15 - 7

= $8

He started with $22 so the new total is;

= 22 + 8

= $30

8th grade i need help with all pleaseeee and thank you

Answers

Answer:

Step-by-step explanation:

5. m = 1/4

Equation: y = 1/4x + 2

6. m = 2

Equation: y = 2x – 3

7.  m = -1/8

Equation: y = -1/8x + 2

8. m = undefined

Equation: x = 0

Sam Works 40 hours in one week and is paid $610 how much does Sam earn per hour​

Answers

Answer:

$15.25

Step-by-step explanation:

You divide 610 and 40 and the will get

$15.25

Because you wanna know how much does he get per hr

helpigiverailiestifuaser

Answers

Answer:

35 books

Step-by-step explanation:

40*3=120

120-85=35

A letter or symbol that represents a number (quantity) that can change

Answers

Answer:

a variable

Step-by-step explanation:

a variable can change and is a letter or symbol that represents a number

A letter or symbol that represents a number (quantity) that can change is a variable

PLEASE HELP WILL MARK BRAINLIEST!!!

Answers

Answer: i think it may be b

Step-by-step explanation:

PLZ HELP
Write an equation of the given line in slope-intercept form with the given points (1,1) and (4,2)

Answers

Answer: Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 3/4, point (8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 7/2, point (−8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, -5). #2

avatar+51

+2

I'm going to answer the solution in Point-Slope and Slope-Intercept.

Slope - Intercept form is this: y = mx + b

We know that (x, y) is a point on the line, m is the slope, and b is the y-intercept.

From the given information we have that it has a slope of 2 (m = 2), and one of the points on the line is (3, 9) which means that (x = 3, y = 9)

Plugging in we get:

y = mx + b

9 = 2*3 + b

9 = 6 + b

b = 3

Therefore the y-intercept is 3. After having this information we can construct our equation.

We now have to put this in the point-slope form which is: (y - y1) = m(x - x1)

Transferring what we had before we can plugin and get y - 9 = 2(x - 3)

Comment down if you have any queries or any questions on the solution. Tell me as soon as possible. Good luck in your Algebra Pursuit!! :)

Enjoy!! I put the answer in both point-slope and slope-intercept if you haven't noticed!! :)

So our answer is:

y - 9 = 2(x - 3)​.

One serving of milk has 120 calories. If one serving is equal to 1 cup, how many calories are in 1 fluid ounce? (1 cup=8 fluid ounces)

Answers

120 calories / 8 fluid ounces = 15 calories per fluid ounce

what is the answer to 4x-5=x-23
need step by step explanation

Answers

Answer:

x=−6

Step-by-step explanation:

4x−5=x−23

Step 1: Subtract x from both sides.

4x−5−x=x−23−x

3x−5=−23

Step 2: Add 5 to both sides.

3x−5+5=−23+5

3x=−18

Step 3: Divide both sides by 3.

3x /3=-18/3

x=-6

Which of the following best shows the distributive property?

2 + (2 + 3) = (2 + 2) + 3

2(2 + 3) = 2(5)

2(2 + 3) = 2(2) + 2(3)

2 + 3 = 3 + 2

Answers

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

The first one shows the associative property.

In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.

The last one displays the commutative property.

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

plsplsplsplsplsplsplspsslspsplslsplssppslspslslplspslshelp

Answers

Answer:

0.02

Step-by-step explanation:

divide the money by how much you have..

i dont know if its right but i hoped i helps

Answer:

$0.02 each lollipop

Step-by-step explanation:

divide $20 by quantity to get unit rate

20/1000 = 2/100 = 2 cents

2 tan 30°
II
1 + tan- 300​

Answers

Question:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]

Answer:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]

Step-by-step explanation:

Given

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]

Required

Simplify

In trigonometry:

[tex]tan(30^{\circ}) = \frac{1}{\sqrt{3}}[/tex]

So, the expression becomes:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}[/tex]

Simplify the denominator

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}[/tex]

Express the fraction as:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= \frac{2}{\sqrt 3} / \frac{4}{3}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2}{\sqrt 3} * \frac{3}{4}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{1}{\sqrt 3} * \frac{3}{2}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3}[/tex]

Rationalize

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3\sqrt{3}}{2* 3}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\sqrt{3}}{2}[/tex]

In trigonometry:

[tex]sin(60^{\circ}) = \frac{\sqrt{3}}{2}[/tex]

Hence:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]

The heights of Major League Baseball players in the year 2012 were approximately Normally distributed with the mean = 73.5, and the standard deviation = 2.25 in.
1) How many of the 1400 players are expected to have heights between 69.5 in. and 76.5 in.?
2)Use technology to determine the number of players with z-scores for height between -1.23 and +0.75.
3) Use technology to determine the expected percentage of players with heights in the following range: 70 in. and 76 in.
4) Use technology to determine the expected percentage of players with heights in the following range: 72 in. and 73 in.
5) How many more players are expected to have heights above 73 in. than between 71 in. and 74 in.?

Answers

Answer:

69 xD Funny LOL GeT ReKt

Step-by-step explanation:

If 2a+4b=5 and a is equal to three times b, what is 3a?

Answers

Answer:

3a=4.5

Step-by-step explanation:

it says that "a is equal to 3 times b", which translates to a=3b

We can substitute a as 3b in 2a+4b=5

2(3b)+4b=5

multiply

6b+4b=5

add

10b=5

divide by 10

b=1/2

since it's given that a=3b, we can multiply 1/2 by 3

a=3/2

3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5

Hope this helps!

Identify the segment bisector of RT
Then Find RT

Answers

Here,

R = 7y-4

S = 2y+6

T = ?

now,

R-S=T

7y-4+2y+6

7y+2y-4+6

9y+2

again,

R+T

7y-4+9y+2

15y-2

Therefore,

RT = 15y-2

plz mark me brainliest ok

plz follow me

a)The segment bisector of RT will be 4.5y+1.

b)The value of RT will be 9y+2.

What is a segment bisector?

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center. A line segment bisector divides a line segment into two equally sized pieces. It goes through the segments halfway. Line PQ in the image below serves as AB's bisector.

It is given that,

RS = 7y-4

ST = 2y+6

Lines or portions of lines that cut across the middle are known as segment bisectors. We designate the segments with segment marks when two segments are congruent. According to the midpoint formula, the midpoint for the endpoints (x₁,y₁) and (x₂,y₂) is ((x₁+x₂)/2,(y₁+y₂)/2).

We have to find the segment bisector of the RT.

RT = RS + ST

RT = 7y-4 + 2y+6

RT =9y+2

Thus, the value of RT will be 9y+2 and the segment bisector of RT will be 4.5y+1.

Learn more about the segment bisector here:

brainly.com/question/4137998

#SPJ2

I GIVE BRAINLIEST: Choose the equation and the inequality needed to answer this question.

Trevor tutors French for $15 an hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least his many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream. (Select multiple)
x + y < 15

15 x+10 y > 180

x + y = 15

15 x+ 10 y < 180

x + y > 15

15 x+ 10 y =180

Answers

Answer:

x (total number of hours) = 15

Step-by-step explanation:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

So he needs to tutor more than 6 hours in order to make more than $180

I will give you brainiest :)
solve for k
k/4 = 3/8

Answers

Answer:

ok some idiot mod deleted my answer but literally all i put was k=6

Step-by-step explanation:

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