What is the solution to the equation 1/2 (x - 8) = 3/2x + 7​

Answers

Answer 1

Answer:

x= -11

Step-by-step explanation:

1/2(x-8)=3/2x+7

distribute

1/2x-4 = 3/2x+7

subtract 1/2x from both sides

1/2x cancels out

-4 = 1x+7

subtract 7 from both sides

-11 = 1x (1x is the same as "x")

Answer 2

Answer:

x=-11

Step-by-step explanation:

The solution to the equation is -11.

First I set up the equation.

1/2(x-8)=3/2x+7

Next, I simplified the equation. 1/2x-4=3/2x+7.

Then, I added 4 to both sides. 1/2x=3/2x+11.

Next, I subtracted 3/2x on both sides. -1x=11.

Then, I divided -1 on both sides, so I would have x by itself.

x=-11.

In conclusion, the solution to the equation is x= -11.

To check to make sure this is the correct answer, I put -11 into the x values of the equation.

1/2(-11-8)=3/2(-11)+7

Both sides of the equation equal -19/2.


Related Questions

. 3m = 16.8. what does m equal to?

Answers

Answer:

m = 56

Step-by-step explanation:

.3m = 16.8

3m = 168

m = 168/3

m = 56

Please explain and answer quickly, links will be reported

Answers

Answer:

Adults = 325

Students = 612

Step-by-step explanation:

2(325) + 0.75(612) = $1,109

612 + 325 = 937

How would I solve 8n-5=139?

Answers

Answer:

18

Step-by-step explanation:

8n=144

divide the both side of the equation by 8

and you will get

n=18

Answer:

8n-5=139

Add 5 to each side.

8n=144

Divide each side by 8.

n=18

PLEASE HELP!!! I WILL GIVE 30 POINTS!

Write a verbal statement that represents the expression h ÷ 8.


My teacher told me to write out the words for the symbols and numbers.

Please help.

Answers

Answer:

If I have  "h" amount of cookies and I have 8 friends with me, How much would each friend get?

Step-by-step explanation:

The scatter plot shows the number of hours worked and money soent on etnertainment by each of 25 students . Also shown is tbe ljne of best fit for the data fill in the blanks below

Answers

Answer:

Follows are the responses to the given question:

Step-by-step explanation:

Please find the attached file for the complete question:

For point A:

The amount of money being spent appears to rise for those 25 students as the number of hours increases. This is evident from the plot of scattering as well as the best line.

For point B:

Its number of hours spent as well as the amount of money spent were also positive for such 25 students.

For point C:

Also with a line that fits best, we will indeed predict that only an 8-hour student would spend about $22.

All these are seen in a direct line drawn from the x-axis where x=8 fits this same best line and a horizontal line is drawn between that axis and the Y-axis is drawn.

2x + 2 = -14
What’s the value of x

Answers

Answer:

x=-8

Step-by-step explanation:

2x+2=-14

2x=-16

x=-8

Answer: x = -8

Step-by-step explanation:

6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)​

Answers

Answer:

0.000036

Explanation:

When multiplying a number by 10 to the power of a positive exponent (e.g.  

10

3

), move the decimal in the number that many spaces to the right (e.g.  

4.5

10

3

=

4500

).

When multiplying a number by 10 to the power of a negative exponent (e.g.  

10

4

), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.  

4.5

10

4

=

0.00045

).

For  

3.6

10

5

, move the decimal five spaces to the left:

0.000036

Step-by-step explanation:

Use a proportion to estimate each population. (Please solve both questions, thank you) (I’ll reward you with brainliest :)

20.

total counted: 102
tagged counted: 38
total tagged: 56
21.

total counted: 958
tagged counted: 210
total tagged: 305

Answers

Answer:

Step-by-step explanation:

Step 1. (The capture) Capture a sample  total counted =958, and them back tagged counted=38,total tagged=56

The idea is to estimate the proportion p = m/N of tagged =102.

Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.

It is reasonable that, k/n would be a good estimante for p = m/N.

Accordingly, for an estimate N of N, se solve the equation m/N= k/n.

Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?

Answers

Answer:

i think its 18%

The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.

Answers

2.25 sq inches is what you should get.

You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?

Answers

Answer:  716.66 dollars

=====================================================

Explanation:

We'll apply this formula

A = P*e^(r*t)

where,

A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of years

In this case, we have

P = 500r = 0.06t = 6

Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.

So...

A = P*e^(r*t)

A = 500*e^(0.06*6)

A = 716.66470728026

A = 716.66 dollars is the final answer

The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.

11 inches
15.6 inches
19.1 inches
22 inches

Answers

Answer:

b

Step-by-step explanation:

Expresa en unidades las siguientes cantidades: cinco decenas cuarenta decenas de mil siete centenas de mil veintitrés unidades de mil ayúdenme plis :3

Answers

Girls are a waste of sperm

Taylah buys clothes from a supplier in the USA. The total cost of the clothes is $250 US dollars. Shipping the clothes costs an extra $30 US dollars.On arrival in Canadian customs add an extra 10% GST to the cost of the clothes. Calculate how much Taylah has to pay in total.


If u know the answer plz answer if u don't know the answer,don't answer! -Warning

Answers

Yo estoy muy bien y tu noentiendo lo que describirte no hablo ingle pero ponerlo en el español yu te edito cual es la pregunta por fa

The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3​

Answers

Answer:

Step-by-step explanation:

Its c

Help me please an thanks

Answers

Answer:

4.6

Step-by-step explanation:

2^2+x^2=5^2

4+x^2=25

x^2=25-4

x^2=21

x=square root 21

x=4.58=4.6


Which expressions are equivalent to 4/7x + 4?

A. 1 + 3/7x +3
B. 5/7x - 1/7x + 4
C. 3/7x + 4 1/7x
D. 1 + 4/7x + 3
E. 1 + x/7 + 3
F. 3/7x + 4 4/7x - 1

Answers

Answer:

4+28x

_____

7x

i think...

6,10,14 ... Find the 30th term.

Answers

Answer:

         a₃₀ = 120

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\\\10-6=4 \ \ and\ \ 14-10=4\quad\implies\qquad d=4\\\\a_1=6\\\\\\a_{30}=6+4(30-1)=122[/tex]

Pat is three times as old as she was 14 years ago. In seven years, she will be four times as old as she was 14 years ago. How old is she now?

Answers

The answer is 21 Hope this helps

Can someone please help me with this math problem:):)

Answers

Answer:

i dont understand

Step-by-step explanation:

 

I have 0.0254 it and they say approximately to 2 decimal place will I include the 0 after the decimal point​

Answers

Yes. You have to include 0.

If we round off this value to 2 decimal places then it is

0.03

Reason: after decimal point or before decimal point if you have to drop some digits and if the digit to be droped are 5 followed by non zero digit then previous digit is increased by 1.

Here, the digits to be droped are 5 and 4 after 0.02 so we increase 2 by 1 that is 3.

Plz help me it’s my last question giving brainliest

Answers

Answer:

1) A

This is your last one?

Hope this Helps!Hope this Helps!:)

What is the equation of the line that passes through the point (2,-4) and has a
slope of 2?

Answers

i think it’s -2 but im not entirely sure

Answer:

y = 2x - 8

Step-by-step explanation:

Point(2 , -4) ; slope = 2

Point- slope form:

y - y1 = m(x - x1)

y - [-4] = 2(x - 2)

y + 4 = 2x - 2*2

y + 4 = 2x - 4

     y= 2x - 4 - 4

     y = 2x - 8

Jackie weeded the neighbors' gardens all summer. The 6 neighbors paid:
$4.00 $6.00 $6.00 $5.00$ 8.00 7.00
What was the mean amount paid?

Answers

Mean= average of the numbers
4+6+6+5+8+7=36
36/6=6
The answer is 6

Answer:

7.2

Step-by-step explanation:

(4+6+6+5+8+7)/6=

=7.2$

Erik transformed the equation y = 2(x − 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)2 + 5
y = 2(x2 − 4x + 4) + 5
y = 2x2 − 8x + 8 + 5
y = 2x2 − 8x + 13


answer choices


No. The error is in the second line: the expanded form of (x − 2)2 is x2 − 4.

No. The error is in the third line: the product of 2 and x2 − 4x + 4 is 2x2 − 4x + 4.

No. The error is in the fourth line: the sum of 8 and 5 is 12.

Yes. Erik is correct in his transformation from vertex form to standard form.

Answers

It’s yes, your welcome!

PLS HELPP!! thank you

Answers

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

Which is​ greater, 4 miles or 7,000 yards ​? How much​ greater? Explain.

Answers

Answer:

4 miles is greater.

Step-by-step explanation:

When we convert 4 miles to yards, we get 7,040.  Therefore, when we look at the amount, we can see that 7,040 is greater than 7,000.

Which number is located between 19 and 20 on a number line?
A. √298
B. √340
C.√ 391
D. √ 402

Answers

Answer:

C. 391

Step-by-step explanation:

The number located between 19 and 20 is, C.√ 391

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

We know, √400 is 20.

Given, We have to find an irrational number between 19 and 20.

Now, From the given options the closest number to √400 is √402 but it is not between 19 and 20.

Therefore, The number whose square root is between 19 and 20 is,

√ 391.

learn more about surds and indices here :

https://brainly.com/question/1369233

#SPJ3

What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V = four-thirds B h The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Answers

Answer: Its C and E on engenuity

Step-by-step explanation:

The radius is half the diameter.

The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Answer: C, E

Step-by-step explanation: Got it right on edge

8. Does the equation show a proportional relationship?
y = x + 9
O Yes
O No

Answers

Yes it does show it...
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