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

John sold 11 tickets Frank sold 50 Acres than twice the number that John sold how many tickets did Frank cell​

Answers

Answer:

50

Step-by-step explanation:

only that answer please correct✌️

hello. Someone help me solve all these. Will mark as brainliest. Thanks

Answers

Answer:

number 19 is letter B.hence express P(x) as the product of it's linear factors

What is the difference in length between

Answers

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

PLEASE HELP ME,!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
Question options:

A)

2(9x + 4) = 86 – 12x – 18

B)

–2(9x + 4) = 12x + 18 – 86

C)

x = 2

D)

86 – 18x – 8 = 12x + 18

Answers

Answer:

D

Step-by-step explanation:

Answer: D) 86 - 18x - 8 = 12x + 18

A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
containing 5 tuna cans? Round your answer to the nearest whole number

Answers

Using the formula v = pi x r^2 x h

pi x 18.0625 x 4

You will get the answer= 72.25pi

and rounded you get

=

72pl

Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)

Answers

Answer:

(x−2)^2=16(y+1)

Step-by-step explanation:

The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The vertex of the parabola = (2, -1)

The focus of the parabola = (2, 3)

As we know, the vertex form of the parabola is given by:

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 2)² = 4a(y - (-1))

(x - 2)² = 4a(y + 1)

The value of a can be found using the formula:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

(c, d) = (2, 3)

a = √[(2-2)² + (3-(-1))²]

a = √ (3+1)²]

a = 4

(x - 2)² = 4(4)(y + 1)

(x - 2)² = 16(y + 1)

Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

Learn more about the parabola here:

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The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?

Answers

Answer:

16units

Step-by-step explanation:

Given data

The expression for the volume of a cone is given as

v=1/3πr^2h

v= 3π

r= 12

h=???

Substitute

3π= 1/3*π*12^2*h

3= 1/3*144*h

3= 144h/3

cross multiply

3*3= 144h

9= 144h

h= 144/9

h=16 units

Hence the heeight is 16units

This is volume of spheres.
Can anyone give me this step by step?
Due tonight..

Answers

Answer:

Step-by-step explanation:

4/3(pi)(r)^3

4/3(pi)(0.8m)^3   (converted the cm to m)

then you can simplify it based on wither the answer is in Number*pi or just a number.

Hope this helps!

PLEASE HELP ASAP
Find the surface area and the volume of the prism.

Answers

Answer:

Surface Area: 1320

Volume: 2160

Step-by-step explanation:

Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]

where c is the hypotenuse, 26.

Substituting the values into the equation you get:

10^2 + b^2 = 26^2

100 +b^2 = 676

Subtract 100 from both sides.

b^2 = 576

b = 24

Now that we have the missing side, we can calculate the rest of the question.

Surface Area =  2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24)  +(18 × 10)

240 + 468 + 432 + 180 = 1320 unit^2

Volume = [tex]\frac{1}2[/tex] × base × height × length

[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2

Brainliest if you don't mind ;)

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??​

Answers

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

PLEADE HELP I WILL MARK YOU AS BRAINEIST

Answers

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0​

Answers

Answer:

answer in the file

Step-by-step explanation:

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

pls helppp! tysmmmm!!

Answers

I believe it would be 29 because a supplementary angle is 2 angles that equal 180 so I would think to do 189-151=29

Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks

Answers

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?

Answers

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

A Scale model of a building is 12 inches tall. The actual building is 160 feet tall. What is the scale factor of the model write your answer as a fraction and simplest form

Answers

Answer:

133/10

Step-by-step explanation:

divide 160 and 12 then simplify your answer

The scale factor of the model is 0.075.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

We are given that Scale model of a building is 12 inches tall. The actual building is 160 feet tall.

First, we need to multiply 160 by 12 so that we have inches and inches

160 inches

Then divide 160 by 12 and that will give, 12 which is the scale factor

The scale factor is:

12/160=3/40

=0.075

Learn more about scale factor here:

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If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro​

Answers

Answer:

its 44

Step-by-step explanation:

because IRS 444 j utf d funk nhc ddh

HELP plsss if I don’t answer this I can’t go to lunch

Answers

7/g This is the correct answer to your problem

The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?

Answers

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

Which of the following pieces of information could you use to conclude that
trapezoid ABCD is similar to trapezoid WXYZ?
pls help !

Answers

Side WX = 3
The fourth one will be the answer

It’s like a ratio method

Complete the table of values for y = 0.5x + 1
can you help? ​

Answers

hope the answer can help you.

Answer:

x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2

-6x+6y= -24
-6x+9y= −45

Answers

Answer:

1. X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.) Y- Intercepts(s) :( 0, -5)

Step-by-step explanation:

To Find the X- Intercept Subsitute in 0 For Y solve for x. To find the y-intercept Substitute in 0 for x and solve for y.

99% of 71.6 is what?

Answers

Answer: 70.884

Step-by-step explanation:

Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.

Answers

Answer:

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

1

)

×

2

=

6

+

2

n

2

=

2

n

+

4

please help, I’m struggling!

Answers

Answer:

the answer is a . I hope it helps

PLZ HELP ME GUYS PLZ​

Answers

Answer:

y=2x+3

x=(-1)

y=-5x+6

x=1

Step-by-step explanation:

Just find x in the equation

graph g(x)=− 51 (x+5) ^2 − 2

Answers

Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

5

,

1

)

Focus:  

(

5

,

9

8

)

Axis of Symmetry:  

x

=

5

Directrix:  

y

=

7

8

x

y

3

9

4

3

5

1

6

3

7

9  

PLEASE HELP!!!!

The surface area of a regulation spherical soccer ball is about 484π
square centimeters. If the diameter of the regulation ball is reduced by 50%
to produce a new ball, what is the diameter of the new ball, to the nearest tenth of a centimeter?


A. 5.5 cm
B.7.8 cm
C. 11.0 cm
D.15.6 cm

Answers

Your answer would be C because dividing 484 and 50 you get 9.68, and 11.0 is the best estimate, hope I could help! Plz mark brainalist (:

The diameter of the new ball, to the nearest tenth of a centimeter, is 11.0cm

We have given that,

The surface area of a regulation spherical soccer ball is about 484π

square centimeters. If the diameter of the regulation ball is reduced by 50% to produce a new ball.

We have to determine,

The diameter of the new ball, to the nearest tenth of a centimeter.

What is the surface area of a spherical soccer ball?

The volume of a sphere = 4/3 × πr^3.

Therefore we get,

[tex]\frac{484}{50}= 11.0[/tex]

Therefore we get the diameter of the new ball, to the nearest tenth of a centimeter is 11.0cm.

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