What is the solution to the equation 1/2 x + 3 = 2/3 x + 1​

Answers

Answer 1

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

Subtract sides 3

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

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

Multiply sides by 6

[tex]6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2) \\ [/tex]

[tex]3x = 4x - 12[/tex]

Subtract sides 4x

[tex] - 4x + 3x = - 4x + 4x - 12[/tex]

[tex] - x = - 12[/tex]

Negatives simplifies

[tex]x = 12[/tex]

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CHECK :

[tex] \frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1 \\ [/tex]

[tex]6 + 3 = 8 + 1[/tex]

[tex]9 = 9[/tex]

Thus the solution is correct .

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Related Questions


If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?

Answers

Answer:

It depends on where point D is placed so C > 0

Step-by-step explanation:

As i said above

We want to find the coordinate of C given that it is the midpoint of BD.

We know that B is at 0, so we can assume that each letter represents a position on the number line.

Then we can assume that D is located at a number different than zero, let's assume that D is located at the value d.

Then the segment BD goes from 0 to d, so its length is d.

Then the midpoint is at the middle, at d/2 plus the smallest value, 0:

C = d/2 + 0 = d/2

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What is the solution to the system of equations graphed below

(2,-3)
(-3,2)
(-2,3)
(3,-2)

Answers

The answer will be (2,-3) it’s 2 to the right and 3 down.

Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.

Step-by-step explanation: yay

HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,

Answers

Answer:

33480783

Step-by-step explanation:

Finding the Common Ratio:

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        (Where n is any integer)

replacing the values, taking n=2

r = -21 / 7

r = -3

Solving for the 15th Term:

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     (where a is the first term and r is the common ratio)

replacing the values (taking n = 15 since we need the 15th term)

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

The area of the rectangular sheet is 500cm square. If the length of the sheet is 25cm, what is its width? Also find the perimeter of the rectangular sheet.​

Answers

Answer:

20cm Perimeter: 90

Step-by-step explanation:

Hope this helps!(^-^)

Step-by-step explanation:

area of rectangular sheet is 500 CM square

length =25cm

area =l×b

500cm2=25cm×b

500cm2÷25cm=b

20cm=b

b=20cm

again,

perimeter =2(l+b)

perimeter =2(25cm+20)

perimeter =2×45

perimeter =90cm

Question 8 (2 points)
15 is 25% of
Brank 1:
HELPPP MEEE

Answers

Answer:

15 is 25% of 60

Step-by-step explanation:

15 x 4 = 60

25% x 4 = 100%

Answer:

I think that might be 60

Step-by-step explanation:

true or fales: a significant correlation indicates that changes in the values of one factie cause changes in the values of a second factor

Answers

Answer:

A significant correlation means that there is a significant (in a statistical point of view) correlation between two things.

Then a significant correlation means that we have a (measurable) correlation between the variables in our experiment.

Now, the factors are the variables that experimenters control during an experiment in order to determine their effect on the response variable, then having a positive correlation between two factors, means that when we change one, the other is also affected by the change in the first one.

Then the statement is true.

Someone pls help!!!???

Answers

Answer:

Its #3

Step-by-step explanation:


Identify the two missing sides of the 45-45-90 triangle

Answers

x= 8

y= 8root2




........................



Explain how to use the distributive property to find the product (3) ( 4 /1 5 )

Answers

Answer:

Reduce the expression, if possible, by cancelling the common factors.

the answer is 4/5 or 0.8 :)

Step-by-step explanation:

Answer:

Sample Response: Rewrite 3 ( 4  1/5) as 3 ( 4 +  1/5 ). Distribute the 3 to get 3(4) + 3 (1 /5 ) . Multiply to get 12 + 3 /5  . Then add to get 12 3 /5 .

At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?

Answers

Answer:

8,030.4

Step-by-step explanation:

Answer:

$287.04

Step-by-step explanation:

add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04

What is meant by the term observed frequencies (O)?
a. The frequencies found in the population
b. The frequencies that are hypothesized for the population being examined
c. The frequencies calculated from the null hypothesis
d. The frequencies found in the sample

Answers

Answer:

The term observed frequencies are found in the sample.

Hence, option 'd' is correct.

Step-by-step explanation:

Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.

Therefore, we conclude that

The term observed frequencies are found in the sample.

Hence, option 'd' is correct.

Consider a collection of envelopes consisting of 3 red ​, 3 blue ​, 1 green ​, and 2yellow . If three envelopes are selected at​ random, without​ replacement, determine the probability that at least one envelope is a red envelope.

Answers

Answer:

The probability is 31/35

Step-by-step explanation:

Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?

Answers

Answer:

$16,525.53.

Step-by-step explanation:

A=Pe^rt

P=$12,000

r=0.04

t=8 years

Examine the system of equations.

y = negative one-fourth x minus 2

x = 4

What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)

Answers

The answer is 4,-3

Irfcdxsaacd d

Answer:

4,-3

Step-by-step explanation:

Enter the correct answer in the box.
An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles each direction. The air current going to the destination is
in the direction of the plane at 20 miles per hour. The air current traveling back to the starting point is against the plane at 20 miles per hour. Let
x represent the speed of the airplane, in mies per hour, when there is no wind.
Replace the values of a, b and c to create the equation that describes this situation.

Answers

Answer:

the anwser is x and it represents 350

Step-by-step explanation:

The speed of the airplane when there is no wind will be 116.67 miles per hour.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles in each direction.

The air current going to the destination is in the direction of the plane at 20 miles per hour.

The air current traveling back to the starting point is against the plane at 20 miles per hour.

Let x represent the speed of the airplane, in miles per hour, when there is no wind.

Then the speed of the airplane when there is no wind will be given by the average speed.

Then we have

x = (350 + 350) / 6

x = 700 / 6

x = 116.67 miles per hour

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

1/3-5/15-2/8+1/6=
(2/5-4/3):(5/4-2/6)+9/12)=

Answers

Answer:

is 13 giv brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

how many grams in 1.7x 10^7 ug

Answers

Answer:

17 grams

Step-by-step explanation:

a cow heart beat 325 in 5 minutes. about how many times does a cow's heart beat in 2 minutes?

Answers

Answer:

130

Step-by-step explanation:

You can make a ratio - 325:5, then we can simplify it to 65:1, where we are comparing # of beats in 1 minute. Now, we can just multiply both sides by two, getting us 130:2, which is just 130 beats.

Can I have some help plz

Answers

Answer:

t= a+7

    2.3

​​  

Step-by-step explanation:It looks bad but the answer is t- a+7 and the 2.3 is right under the 2.3

He descended 2.3 meters per minutes

i need workings and answer to this question above.​

Answers

Answer:

D.82km/hr

hope it helps

There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of the woodwind musicians play the saxophone?

Answers

40% of students who play the saxophone
18/45= .4 = 4/10*10/10= 40/100= 40%

You want to pick two winning raffle tickets out of a hat and you are given two chances. Any blue
ticket wins $20. You are hoping to pick two blue tickets so you can win $40. Therefore, you define
picking any blue ticket as a success. If there are 4 blue tickets and 16 red tickets, what is your
probability of winning $40 (picking two blue tickets) if you choose without replacement?

Answers

Answer:

20% chance

Step-by-step explanation:

20 is the whole

5 times 20 is 100

5% = 1 ticket

5% times 4 is 20%

each small square in the graph paper represents 1 square unit. tap picture.

Answers

Answer: The answer is 96 square units.

Step-by-step explanation:

(Because it's 8 square units long and 12 square units wide. L x W = Area)

So you have to do 12 x 8 and you should get the answer 96 square units.

A square has a side length 9cm. What is its area in square centimeters? A square has a side length 9cm2. What is its area in square centimeters?

Answers

Answer:

Step-by-step explanation:

A.

Given parameter:

  Side length  = 9cm

Unknown;

Area of the square  = ?

Solution:

The shape given is a square.

 Area of a square  = L²

 L is the side length

  Insert the parameters and solve;

     Area of the square  = 9²  = 81cm²

B.

Given parameters:

Area of the square = 9cm²

Unknown:

Side length  = ?

Solution:

The shape is a square;

  Area of a square  = L²

         9  = L²

          L = √9 = 3cm

7)
Which is the correct solution for the system?
3y = 6 - 2x
8x = 3y - 1
A)
5
and y =
B)
5
x = 2 and y =
win
C)
2
x = 3 and y =
12 /
UIN
x = 3 and y =
OM

Answers

Answer:

3y = 6 - 2 ( 0 ) take

x zero and find value of y

3y = 6 - 2 ( 0 )

3y = 6 - 0

3y = 6

both sides divide by 3

ans : y = 2

now we can find so the value of x

3y = 6 - 2x

3( 0 ) = 6 - 2x

when we find the value x we take y ( 0 ) zero

3 ( 0 ) = 6 - 2x

0 = 6 - 2x

0 + 6 = - 2x

6 = -2x

both sides divide by -2

ans or value of x is 3

Step-by-step explanation:

first

- find one of the values of x and y

two :

- when you solving this

take y ( 0 ) if you search / find the value of X

Find the area of the right triangle.

Answers

Answer:

area is 28 units²

Step-by-step explanation:

find the area of the rectangle with sides 7 and 8 and divide it in half

A=7*8/2= 56/2=28

Please help! I’ll mark you as brainliest if correct!!!!

Answers

Answer:

             20

Step-by-step explanation:

The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)

y = x² - 20 = 1(x - 0)² + (-20)   ⇒  k = -20<0

So it's shifted 20 units down.

what is 913 divided by 31

Answers

There is something called a calculator

Solve. Explain your answers in the box below.

a. Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error.



600×300
6 hundreds × 3 hundreds =18 hundreds

600×300=1,800


b. Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.

Answers

Answer:

Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602

Step-by-step explanation:

i hoped it was right!

Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?

Answers

The reason I plugged 4 into the y spot of the equation and -2 into the x spot is because it allows us to find where the y intercept is if we solve for it. Look at picture for work and answer. Hope this helps.
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