Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21

Answers

Answer 1

Answer:

a) w=6

b) a=3

c) c=7

Step-by-step explanation:

[tex]3w+6=4w[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]3w+6-6=4w-6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3w=4w-6[/tex]

[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]

[tex]3w-4w=4w-6-4w[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-w=-6[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]

[tex]w=6[/tex]

___________________________________________

[tex]a+18=7a[/tex]

[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]

[tex]a+18-18=7a-18[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]a=7a-18[/tex]

[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]

[tex]a-7a=7a-18-7a[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-6a=-18[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]

[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]

[tex]a=3[/tex]


Related Questions

eight hundred thirty four thousandths in decimal form:

Answers

0.834 here is the answer

The given number can be written as 0.834 in decimal form.

What is a decimal form?

"Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point."

Given number is eight hundred thirty four thousandth.

Here, thousandth is  represented as [tex]\frac{1}{1000}[/tex].

Therefore, in decimal form the given number can be written as

[tex]\frac{834}{1000} \\= 0.834[/tex]

Learn more about decimal form here:

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The sum of two numbers is 26. The first number is two more than 5 times the second number. What are
the two numbers? Define your variables. Write two equations and then solve. Be sure to write your
answer in a complete sentence!

Answers

Answer:

Let us assume the two numbers be x and y  

From the above condition we can write, x + y = 26 equation 1  

second condition first no x = 2 more 5 times of the second no. that is 5y + 2  

                  then  we can write,               x = 5y + 2..... eqation (2)

  from equation 1  x + y = 26  

                        subtracting y from each side ,     x+ y - y = 26 - y  

                                                                            x = 26 - y  

                             plugging this value of x in eqn. no (2 )  we get,

                                                                   26-y = 5y + 2  

                                                  subtracting 5y on both sides,

                                                                   26 - y - 5y = 5y - 5y + 2  

                                                                    26 - 6y = 2  

                                                  subtracting 26 from both sides,  

                                                              26 -26 -6y = 2- 26  

                                                                          -6y = -24  

                                                eliminating minus sign from both sides,

                                                                            6y = 24  

                                                   dividing by 6 on both sides,

                                                                           y = 24/6 = 4  

                                         substituting this value of y in equation 1 we get,  

                                                                          x + 4 = 26  

                                                       subtracting 4 from both sides,

                                                                             x = 26- 4 = 22

Step-by-step explanation:

so we solve the 2 eqns we get x = 22 and y = 4  

the two numbers will be 22 and 4  

Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =

Answers

Answer:

a11 = 1

a12 = -1

a21 = -1.5

a13 = 2

NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros. Use the rational zeros theorem (p/q) and please show work!! tysm!!!

the function:
f(x) = 3x^3 + 11x^2 + 5x - 3

Answers

Answer:

Use the Rational Zero Theorem to find rational zeros

Step-by-step explanation:

56 divide(4 + 3) – 10 =

Answers

Answer: search it up bro

its easy

Step-by-step explanation:

Observe the two stars below. How are they different?

a red dwarf star that is small in size and very dim.a yellow dwarf that is medium in size and dim.

The red dwarf is larger than the yellow dwarf.
The red dwarf is dimmer than the yellow dwarf.
The red dwarf is brighter than the yellow dwarf.
The red dwarf is made of more gas than the yellow dwarf.

Answers

Answer:

b The red dwarf is dimmer than yellow dwarf

Answer:

A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star.

Step-by-step explanation:

please help me with this

Answers

Answer:

The answer will be “B”

Step-by-step explanation:

If you liked this answer please give brainleist and rating! Hope this helps! ^_^

A pair of skate blades costs
$189.00. A pair of skate boots
costs 4 times that much. How
much are the skates and blades
all together?

Answers

Answer:

$945.00

Step-by-step explanation:

Use (189*4)+189 or 189*5 to solve:

189*4= 756

759+189= 945

189*5= 945

Hope this helps!

Answer is 289 or 298 if not i dont know

12. MOVIES You have a gift card worth $90. You
want to buy several movies that cost $12
each. Write and solve an inequality that
represents the number of movies you can
buy and still have at least $30 on the
gift card. (Section 4.4)

Answers

Answer:

5 movies

Step-by-step explanation:

90-30=60

60/12=5

Answer:

90 minus 12x is greater than or equal to 30

then solve and get x equals 5

00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23​

Answers

Ok ok ok I get it lol you mad

Plz help it’s due tonight!!!

Answers

Answer: AB≅EF, ∠B≅∠E, BC≅DE

Step-by-step explanation:

AB and EF are both marked with one line, making them congruent.

The same goes for BC and DE since they are marked with two lines.

Angles B and E are congruent because of the marking that is specified in both figures.

3. Consider two 'postulates' given below: 0 Given any two distinct points A and B, there exists a third point C which is in between A and B. (i) There exist at least three points that are not on the same line. Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid's postulates? Explain.​

Answers

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

4 773 nearest hundred

Answers

Answer:

4800

Step-by-step explanation:

4773

The 3 is the ones digit.

The 7 to the left of the 3 is the 10s digit.

The 7 (in bold) to the left of the other 7 is the hundreds digit.

1. Make all digits to the right of the hundreds digit 0.

4700

2. We need to find out if we end up with 4700 or 4800.

Since the digit just to the right of the hundreds digit is greater than 4 (it is the tens digit which is a 7), then the hundreds digit 7 must go up 1 to 8.

Answer: 4800

8 x y =369 y = ?

y x 9 = 63 y = 6 + y =?

Answers

Answer:

1. 46.125

Step-by-step explanation: Is your second one in the right format? I don't understand what it is asking.  For the first one, however, you need to free the y being multiplied to 8 and so you are going to undo it by dividing 369 by 8.

Is 9/25 a whole number

Answers

No it isn’t a whole number

Answer:

no i dont think so

Step-by-step explanation:

How would you write 0.1 bar as a fraction

Answers

Answer:

1/10

Step-by-step explanation:

Divide 1 by 0.1, which equals 10

10 becomes your denominator, and 1 is the numerator

Since 1/10 = 0.1*10 = 1

I WILL MARK BRAINLIST PLS HELP

Answers

Answer:

a is parallel b

then

10x-23=27

10x=23+27=50

x=50÷10=5

Solve for x -29+11=3x - 6x ???

Answers

Answer:

the right answer is x = 9/2

what is the multiplicative inverse of -3 1/2
A) 7/2
B) -2/7
C) 9​

Answers

Answer:

B or -2/7 should be correct

Step-by-step explanation:

First, I would find out the improper fraction of -3 1/2

The improper fraction of -3 1/2 is -7/2

To find the multiplicative inverse, we will flip the numerator and the denominator.

Multiplicative inverse of -7/2 = 2/-7

2/-7 is a weird way to write a fraction, so to convert into a reasonable fraction, we will multiply both the numerator and denominator by -1.

2/-7 x -1/-1 = -2/7

Therefore, B should be your answer

Kind requests:

Please give me brainliest :)

Answer:
B) -2/7

Explanation:
this is because, you start out by simplifying -3 1/2 to get -7/2 next you find the multiplicative inverse of which is -2/7

(9r ^3 + 5r^2 + 11r ) + (2r^3 +9r - 8r^2)

Answers

Answer:

11r3−3r2+20r

Step-by-step explanation:

let me know if its wrong

I need help please!!

Answers

Answer: The box under 1000 is 1, because there are 1000 milliliters in 1 liter. your next box would be 6000, the box above 8 is 8000, and above 9 is 9000. Does this make sense? I hope so.

Answer:

ML: 1,000 | 6,000 | 8,000 | 9,000

L: 1 | 6 | 8 | 9

I hope this helps :)

Which of the following would have a negative product?
O (-y)-y)
O-1(-y)
O (-y)(-y)(-y)
O (-y)(-y)(-y)(-y)

Answers

Answer:

(-y)(-y)(-y)

Step-by-step explanation:

First Choice:

[tex](-y)(-y)[/tex] [tex]y^2[/tex]

Second Choice:

[tex]-1(-y)[/tex] [tex]1y[/tex]  [tex]y[/tex]

Third Choice:

[tex](-y)(-y)(-y)[/tex] [tex]y(-y)[/tex] [tex]-y^3[/tex]

Fourth Choice:

[tex](-y)(-y)(-y)(-y)[/tex] [tex]y^2 + y^2[/tex] [tex]y^4[/tex]

Therefore, the answer is (-y)(-y)(-y)!

Error Analysis The solution shown for the equation is
What is the error?
-7(2-1) - 21
-14-7-21
- 7 = 35
r-5
The solution is (Type the value of r)

Answers

The error is when you multiply -7 by -1 it is 7 not -7 so,
-14+7-21
-7-21
-28
Also where did r come from you asking 2 different questions

What is the solution of log(2 + 4) = log(14-3t)

Answers

Answer:

the answer is 2.66

Step-by-step explanation:

use the calculater

Janice has these times recorded on her time sheet for the week.

How many hours did she work?


47 hours

44 hours

37 hours

34 hours
Time in Time out
7:05 2:58
7:30 5:01
8:01 4:32
7:22 4:46
6:55 3:31

Answers

7 hrs 53 min
9 hrs 31 min
8 hrs 31 min
9 hrs 24 min
8 hrs 36 min

43 hrs and 55 min… so I guess 44 hrs is your answer(?)

The number of hours Janice worked in a week is 44 hours.

Given that, Janice has recorded on her time sheet for the week.

What is a clock?

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

Now,

Time in    Time out

 7:05          2:58

 7:30          5:01

 8:01          4:32

 7:22          4:46

 6:55          3:31

Between 7:05 and 2:58 the number of hours is 7 hours 53 minutes

Between 7:30 and 5:01 the number of hours is 9 hours 31 minutes

Between 8:01 and 4:32 the number of hours is 8 hours 31 minutes

Between 7:22 and 4:46 the number of hours is 9 hours 24 minutes

Between 6:55 and 3:31 the number of hours is 8 hours 36 minutes

Now, (7+9+8+8+8)+(53+31+31+24+36)

= 40 hours + 175 minutes

= 40 hours + 2 hours 55 minutes

= 43 hours 55 minutes

= 44 hours

Therefore, the number of hours Janice worked in a week is 44 hours.

To learn more about the clock problems visit:

https://brainly.com/question/9642914.

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I’d appreciate it please helpppp

Answers

Answer:

The answer is B. a proportional graph is a straight line that always goes through the origin 0, 0

the larger of two numbers is nine more then four times the smaller number the sum of the two numbers is sixty-nine find the tow numbers

Answers

Answer:

i do not know

Step-by-step explanation:

Translate to an equation and solve.
50% of $___ is $25.

Answers

Answer:

50$

Step-by-step explanation:

50% means 1/2 of something.

So...

1/2 of 50 is 25.

-kiniwih426

Answer:

$50

Step-by-step explanation:

Solution:

Let the unknown number be x

50% × x = $25

50/100 × x = 25

x = 25×100/50

x = $50

Varification:

50% of $50 is $25

50/100 × 50 = 25

25 = 25

There are 4 consecutive integers that have a sum of 18. What is the value of the least
integer?

Answers

3,4,5,6

The lowest integer is 3

A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)

Answers

Answer:

D.

Step-by-step explanation:

because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom

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