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Final Answer: [tex]x = 12[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]

Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].

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

Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].

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

Step 3: Multiply both sides by [tex]6[/tex] (LCM of [tex]2, 3[/tex]).

[tex]3x + 18 = 4x + 6[/tex]

Step 4: Subtract [tex]3x[/tex] from both sides.

[tex]18 = 4x + 6 - 3x[/tex]

Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].

[tex]18 = x + 6[/tex]

Step 6: Subtract [tex]6[/tex] from both sides.

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

Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].

[tex]12 = x[/tex]

Step 8: Switch sides.

[tex]x = 12[/tex]

~I hope I helped you :)~

Answer:

A=1, m=2, v=1

Step-by-step explanation:

A.

[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]

B.

[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]

C.

[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]

For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.

For B, I  subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.

For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.

Answer:

x = - 1, y = 2, z = 1

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )

Answer: its d

Step-by-step explanation:

Answer:

the first one is b= 52

the second one is b= 63

Answer:

Look up on YT how to solve properties of exponents  

Step-by-step explanation:

-

Answer:

The answer is A

Step-by-step explanation:

If you divided by 150/30 = 5.

So the answer is A. y=5x;5 feet.

Force = mass x acceleration

Force = 70 kg x 2 m/s^2

Force = 140 N

Answer:

10 dinners

Step-by-step explanation:

We solve using the Least Common Multiple Method.

We are told:

Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.

We find the Multiples of 2 and 10

Multiples of 2:

2, 4, 6, 8, 10, 12, 14

Multiples of 10:

10, 20, 30

Therefore,

LCM(2, 10) = 10

The least number of dinners that Manny can make without any supplies leftover is 10 dinners

Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

i cant put a link but i looked up "51 in base 5"

and got 201

The value of the equation is 51₁₀ = 201₅

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 51₁₀   be equation (1)

Let the number with base 5 be represented as B

Now , to convert the equation A to a number in base 5 ,

The equation calculation formula for 51₁₀ number to base 5 is

5 | 51

5 | 10 | 1

5 | 2 | 0

5 | 2 | 2

Therefore , the number B = 201₅

Hence , the value of the equation is B = 201₅

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

4 batches

Step-by-step explanation:

just took the quiz can i have Brainliest pls

Answer:

4 batches

Step-by-step explanation:

Answer:

a and d

Step-by-step explanation:

it has a ratio comparison

Answer:

0.0004582951

Step-by-step explanation:

I just put this equation into a calculator to solve.

Answer:

y= 3/2x+3/2 btw add these and that is your answer then y=-4

Step-by-step explanation:

Answer:

I believe its the last one

Answer:

the last one.

Step-by-step explanation:

Answer:

x=1 and y=2 for number 4

Step-by-step explanation:

Answer:

319.20

Step-by-step explanation:

399×20%=79.8

399 - 79.8= 319.20

Answer:

Evolution requires at molecules and atoms assemble themselves into increasing order

Pretty sure the answer is D :)

Answer: 2^-3 = 0.125

Step-by-step explanation:

Just took a test over it :)

Answer:

2.5 km

Step-by-step explanation:

Answer:

d would be the answer

Step-by-step explanation:

i took the test

Answer:

C: 12m

Step-by-step explanation:

We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]

For this triangle

a= x   b= 5   c= 13

We now have the equation

[tex]x^{2} + 5^{2} =13^{2}[/tex]

If we simplify this we get

[tex]x^{2} + 25 = 169[/tex]

Next, we subtract 25 from both sides

[tex]x^{2} = 144[/tex]

Finally, if we take the square root of both sides of the equation, we find that

x= 12

Answer:

Point form: (9,-5)

Step-by-step explanation:

y=-2/3x+1 and x+y=4

Point form: (9,-5)

Equation form: x = 9, y = -5

Answer:

both

Step-by-step explanation:

Luc and Ang both just didn't simply one of there equations, otherwise it is equal

Answer:

2. Anisa gets paid $12 per hour describes a rate.

Step-by-step explanation:

A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.

Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.

Hope this helps! :)