The difference of 8 times a number and 2

Answers

Answer 1
Let us "translate" the words into algebra, step by step:

x = the number

Difference of a number and 2: (x - 2)

Eight times the difference of a number and 2: 8(x - 2)

The sum of the number and 3: (x + 3)

Three times the sum of the number and 3: 3(x + 3)

Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3:

8(x - 2) = 3(x + 3)

Now just solve for x.

8x - 16 = 3x + 9

5x = 25

x = 5

The number is x = 5

Related Questions

roger has a 28 pound block

Answers

Answer:

Nice.

Step-by-step explanation:

This means he has a 28 pound Block

Write the numbers in decreasing order.
5
-3, -2.52, -543, 4.09,
4
Choose the correct answer below.
5
OA. -573, -3, -2.52,
4
4.09
5
OB. 4.09,
4
- 2.52, -3, -543
5
OC. -3, -543, 4.09, -2.52
OD.
5
, 4.09, -573, -2.52, -3
4

Answers

Answer:

5,4.09,4,-2.52,-3,-543

Which expression is equivalent to 33.63.23 without
exponents?

Answers

B)
3 x 3 x 3 x 6 x 6 x 6 x 2 x 2 x 2

A farmer created a crop circle that is a square inside a circle. The square contains the crop of​ wheat, and the part outside the square is flat. The circle has a radius of 25​meters, and the square has a side length of 35 meters. What is the area of the flat region within this crop​ circle? Use 3.14.

Answers

Answer:

738.75m^2

Step-by-step explanation:

this problem is on the  mensuration of flat shapes.

first, we need to solve for the area of the circle

area of circle= πr^2

area of circle= 3.142*25^2

area of circle= 3.142*625

area of circle= 1963.75m^2

the area of the square

area of square= l^2

area of square= 35^2

area of square= 1225m^2

the area of the flat region within this crop​ circle is

area of circle-area of square

= 1963.75-1225

=738.75m^2

Help please and thanks

Answers

Answer:

I think I did my math right. Is it 11? If it's not I tried to help.

Step-by-step explanation:



Ms. Harris goes on a road trip with her fellow colleagues for spring break. 10 points
Ms. Harris is trying to estimate how much gas it will to drive 600 miles.
Ms. Harris's car typically gets 29 miles per gallon of gas. How many
gallons will Ms. Harris need to complete her 600 miles of travel.


O 20 gallons

O 19 gallons

O 21 gallons

O 22 gallons

Answers

Answer:

21 gallons

Step-by-step explanation:

600 = 29g

600/29 = g

20.689 = g

Round up

21 = g

Answer:

21 gallons

Step-by-step explanation:when you do 600/29 you get 20.68 if you round that up you get 21

Why do we combine like terms?

A . To give you more work
B. To make expressions shorter by simplifying
C. No reason
D. Because Ms. Sax likes making us suffer

Answers

I think its B, because its easier to find answers if you have less.

Answer:

B it makes more sense

how do you work out 7.62 + 5.97 + 3.6 =?

Answers

Answer:

17.19

Step-by-step explanation:

First, you add 7.62 and 5.97. This leaves you with 13.59 + 3.6, and you add these together to get 17.19. That is your answer :)

I know it’s not G. Or J.
Someone help me please!

Answers

Answer:

h

Step-by-step explanation:

what is the solution to the equation 4(x+1) = 8? solve using distributive property

Answers

4(x+1) = 8
4x + 4 = 8
4x = 8-4
4x = 4
x = 1

Answer:

4(1+1)=8

Step-by-step explanation:

x=1

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters. centimeters of velve

Answers

Given:

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.

Velvet purchased by first customer = 120 centimeters

Velvet purchased by second customer = 14 meters

To find:

The remaining velvet in Malik's shop.

Solution:

We know that,

1 meter = 100 cm

Using this conversion, we get

32 meter = 3200 cm

14 meter = 1400 cm

Now,

Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm

                                                    = 1680 cm

Therefore, the remaining velvet in Malik's shop is 1680 cm.

The following statement is an example of: every quiz has been easy, therefore the test will be easy

Answers

WRONG QUIZES ARE HARDER THEN THE ACTUALLY TEST

JUST SAYIN G

Answer:

what exacually is the question

Step-by-step explanation:

You decide to start a dog walking business and are trying to plan how much you to charge. You determine that you can only walk 5 dogs at the most at any given time. You also decide to charge in 30 minute intervals and, due to your schedule, you can only walk for 3 hours a day. Based on those conditions, what is the most amount of dogs that you can walk in a given day?

Answers

Answer:

The most amount of dogs that you can walk in a given day is 30 dogs.

Step-by-step explanation:

You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?

[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]

amount of intervals= 6 intervals

You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?

[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]

amount of dogs= 30 dogs

The most amount of dogs that you can walk in a given day is 30 dogs.

Solve the following compound inequality
1. 2x + 12 > 10 or -2x>6

Answers

Answer:

6

Step-by-step explanation:equals 6

the answer would equal to six

volume =160.875m, length =6.5m, height =5.5m, breadth =?​

Answers

Answer:

b = 4.5 m

Step-by-step explanation:

Since we have 2 sides of the shape and the total volume, we can easily find the measurement of the third side which is the breadth by:

volume = 160.875

v = l×h×b

160.875m=(6.5m)×(5.5m)×b

160.875m=35.75b

b = 4.5 m

Answer:

4.5m

Step-by-step explanation:

v=lbh

b=v/lh

= 160.875/(6.5×5.5)

=160.875/35.75

=4.5m

2. Select the three (3) equations that are equivalent to the equation
X-0.10x+2.5 = 45.5
Show how you determined your answers.
A. 0.90x+2.5=45
B. 0.90x=43
C.0.90x=45.5
D. 1.10x+2.5=45.5
E. 2(x-0.10x+2.5)=91

Answers

Answer:

B. 0.90x=43

E.2(x-0.10x+2.5)=91

Step-by-step explanation:

Given equation:

   x-0.10x+2.5 = 45.5

     Let us simplify this;

Collect like terms;

         x - 0.10x = 45.5 - 2.5

Simplify;

             0.9x = 43 (Option A)

Also;

        x-0.10x+2.5 = 45.5

     Simplify by multiplying both sides by 2;

    2(x - 0.10x + 2.5) = 2(45.5)

    2(x - 0.10x + 2.5) = 91.0

Also;

      x-0.10x+2.5 = 45.5

        0.9x + 2.5 = 45.5

Those are the three scenarios

How many gallons of 25% alcohol solution and 40% alcohol solution must be mixed to get 6 gallons of 30%
alcohol solution?

Answers

Answer:

amt of 25% solution to mix=6 gal

amt of 40% solution to mix=3 gal

Step-by-step explanation:

let x=amt of 25% solution to mix

9-x=amt of 40% solution to mix

25%x+40%(9-x)=30%*9

.25x+3.6-.40x=2.7

.15x=0.90

x=6

9-x=3

find the value of x. (5x+4) 49

Answers

Answer:

X=9

Step-by-step explanation:

5 multiplied by 9 is 45 and 45 plus 4 is 49

Answer:

9

Step-by-step explanation:


Round £432.75
to 2 significant
figure.

Answers

Answer:

= 3.66

Step-by-step explanation:

there you go have a good day

£432.75 to 2 significant figure, is 4.3275*10²  

What is a significant figure?

The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.

Given a term £432.75

Rounding £432.75 to 2 significant figure, we get,

432.75 = 4.3275*10²

Hence, 432.75 to 2 significant figure, is 4.3275*10²

For more references on  significant figure, click;

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Find the product of the polynomials. (2x + 6)(3x − 2)

Answers

Answer:

6x^2 + 14x -12

Step-by-step explanation:

Can someone help me do this I'm not good at this kind of math

Answers

hope this helps i did this instead of my ap psych work haha

i didnt rlly check my answers so i hope this are correct <3

Which of these are equivalent to -11/4?

Answers

Answer: -11/4 =-2.75

Step-by-step explanation:

-2.75

Step-by-step explanation:

Luke opened a savings account with a balance of $0.00 and deposited $20.00. During the next 2 weeks, he made two more deposits for $15.00 and $35.00. At the end of the month, he made a withdrawal that brought his balance back to $0.00. Assuming no interest was earned, how much money did Luke withdraw from his savings account?

Answers

Answer:

85$ was withdrawed.

Step-by-step explanation:

20 + 30 + 35 = 85 - 85 = 0

Answer:

Okays so Luke deposited $20.00, $15.00, and $35.00 so we can make the equation

$20.00 + $15.00 + $35.00 = $70.00

At the end of the month he withdrawaled all of his money which brought it back to $0.00. That means that Luke withdrawled $70.00 from his bank account!

I hope that this helps

Your sister is selling Girl Scout cookies that cost $3.50 per box. Your family bought 6 boxes. How many more boxes of
cookies does your sister need to sell to raise $196?

Answers

Answer:

She needs $175.

Step-by-step explanation:

3.50 X 6= $21. (196-21=175)

So since she needs $196 and per box it would be $3.50 and 6 boxes is $21 total, she would need to sell 56 boxes total to get to her goal, but since her parents bought 6 boxes already she will only need 50 more.

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y – 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Oy=1x+2
Oy={x-4
O y = x + 3/2
Oy=2x-
2.

Answers

Option A is the correct answer, y = x + 2

y - 3 = x-1

If you bring the 3 to the R.H.S, it becomes y = x + 2

If you substitute the values,

3 = 1 + 2

3 = 3

Thus, e equation is correct

The slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)

m = 3+2/1+9

m = 5/10

m = 1/2

The equation in point slope form is given as y - 3 = 1/2(x - 1)

2(y - 3) = x - 1

Write in slope intercept form

2(y - 3) = x - 1

2y - 6 = x - 1

2y = x + 5

y = 1/2 x  + 5/2

Hence the slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

Learn more on equation of a line here:  https://brainly.com/question/18831322

Using the factor theorem, which of the following is a factor of the polynomial below?
x^3 + 12x^2 + 9x - 22
A. X-3
B. X+2
C. X+1
D. X-2

Answers

Answer:

B.X+2

Step-by-step explanation:

-2^3+12X-2^2+9X-2-22

-8+48-18-22

40-40=0

The following is a factor of the polynomial is x+2.

What is Factor theorem?

Factor theorem is a special kind of the polynomial remainder theorem that links the factors of a polynomial and its zeros.

The factor theorem removes all the known zeros from a given polynomial equation and leaves all the unknown zeros. The resultant polynomial has a lower degree in which the zeros can be easily found.

As per the factor theorem, (y – a) can be considered as a factor of the polynomial g(y) of degree n ≥ 1, if and only if g(a) = 0. Here, a is any real number. The formula of the factor theorem is g(y) = (y – a) q(y). It is important to note that all the following statements apply for any polynomial g(y):

(y – a) is a factor of g(y).g(a) = 0.The remainder becomes zero when g(y) is divided by (y – a).The solution to g(y) = 0 is a and the zero of the function g(y) is a.

Given:

f(x)=x³ + 12x² + 9x - 22

To the above equation (x + 2) is a factor of x³ + 12x² + 9x - 22.

As,

f(-2)= (-2)³ + 12(-2)² + 9(-2) - 22

f(x)= -8 + 48 -18 -22

f(x)= 40 -40

f(x) = 0

Hence, the factor of x+2

Learn more about factor theorem here:

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If α , β are roots of x2 + 5x + a =0 and 2α + 5β = -1 then α is equal to _____?

Answers

9514 1404 393

Answer:

  -8

Step-by-step explanation:

If α and β are roots of x^2 +5x +a = 0, then we must have ...

  (x -α)(x -β) = x^2 +5x +a

  x^2 -(α+b)x +αβ = x^2 +5x +a

Then ...

  α + β = -5

Together with the other relation between the roots, we have a system of equations in α and β.

Using the above to write an expression for β, we get ...

  β = -α -5

Substituting this into the given relation, we have an equation for α:

  2α +5(-α -5) = -1

  -3α -25 = -1 . . . . . . eliminate parentheses

  -24 = 3α . . . . . . . . add 3α +1

  -8 = α

The root α is equal to -8.

what is 100,572×135,689

Answers

Answer:

13,646,514,108

I hope this helps!

b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!

Answers

Answer:

~370

Step-by-step explanation:

Columbus = 892,533

US = ~328,200,000

892,533x100=89,253,300

89,253,300x3.5=312,386,550

892,533x20=17,850,660

89,253,300+312,386,550+17,850,660=~328,200,000

100x3.5=350

350+20=370

Find the equation of the line passing through the point (-1, -2) and perpendicular to
the line y = -1/2x + 5.
A) y = 2x
O B) y = -1/2x - 5/2
O C) y = -1/2x
OD y = 1/2x - 5,2

Answers

Answer:

A) y = 2x

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line has slope -1/2.

The negative reciprocal of -1/2 is 2.

The only choice with slope = 2 is choice A.

y = 2x does include point (-1, 2).

Answer: A) y = 2x

The answer is A y=2x
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