3g-9+11g-21 simplyfy

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

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[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

Step-by-step explanation:

a. Your answer is correct.  The trend is that obesity rate increases with the number of fast food restaurants per capita.  Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend.  It is an outlier in terms of the relationship.

b. The number of restaurants per capita is between 2 and 6 for most states.  Mississippi's number of restaurants per capita is within this range, so it is not an outlier.

c. The obesity rate is between 22 and 38 for most states.  Mississippi's obesity rate is within this range, so it is not an outlier.

The perimeter of the new rectangle is 150 cm more than the original perimeter.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle with a length of 9 centimeters and a width of 5 centimeters.

The perimeter of the rectangle will be

Perimeter = 2 (9 + 5)

Perimeter = 2(14)

Perimeter = 28

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be

Length = 6 × 9 = 54 cm

Width = 6 × 5 = 30 cm

The perimeter of the new rectangle is 168 cm.

When comparing the new perimeter to the original perimeter, the new perimeter will be

→ New perimeter - original perimeter

→ 168 - 28

→ 150

The perimeter of the new rectangle is 150 cm more than the original perimeter.

More about the rectangle link is given below.

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Answer:

1. C
2. D
3. D
4. B

Step-by-step explanation:

Answer:

Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.

Step-by-step explanation:

Did this help???

Answer:

37:60

Step-by-step explanation:

Change 1 hour into minutes= 60 minutes

37 minutes: 60 minutes

The ratio of times Dan and David take as a ratio in its simplest form is,

60 : 37.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Dan and David are marking exam papers.

Each set takes Dan 37 minutes and David 1 hour or 60 minutes.

Therefore, The ratio of time taken by Dan and David is

60 : 37.

learn more about proportion here :

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Answer:

20 miles/hour

Step-by-step explanation:

40 miles in 2 hours,

thus,

         40/2 miles  in 2/2 hours = 20 miles in 1 hour.

Therefore, Tim bikes 20 miles per hour.  

Answer:

The decimal 0.9988 to a fraction is 9988/10000

Answer:

9988

_____

10,000

Step-by-step explanation:

I got it correct on test :)))

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

Answer:

hope it helps

plz mark as brainliest

Answer:

when cost of flour was 28 then cost of bread is 496

so the coost of bread if flour cost 32 = 496*32/28=566.86

Step-by-step explanation:

Answer:

Inez is correct.

Step-by-step explanation:

You can plot any real number on a number line.

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

Irrational

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Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

Answer:

[tex]\frac{s-4u}{4}[/tex]

Step-by-step explanation:

[tex]s=4g+4u[/tex]

Switch sides:

[tex]4g+4u=s[/tex]

Subtract 4u from both sides:

[tex]4g+4u-4u=s-4u[/tex]

[tex]4g=s-4u[/tex]

Divide both sides by 4:

[tex]\frac{4g}{4}=\frac{s-4u}{4}[/tex]

[tex]g=\frac{s-4u}{4}[/tex]

Answer:

g= s/4-u

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

1/16.

Step-by-step explanation:

6x  = 3/8

Divide both sides by 6:

6x / 6 = 3/8 / 6

x = 3/8 *  1/6

= 3/48

= 1/16.

Answer:

question 3.3 Answer: Angle 3

question 3.4  Answer: ABD and DBC are complementary angles

question 3.5  Answer: x is 7 degrees (first answer option)

Step-by-step explanation:

First question:

Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.

Second question:

Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.

Third question:

Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:

( 6 x - 20 ) + (4 x + 40 ) = 90

combining like terms and later solving for x we get:

6 x + 4 x - 20 + 40 = 90

10 x + 20 = 90

10 x = 90 - 20

10 x = 70

x = 7

Therefore x is 7 degrees

Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

Work Shown:

2/5 of 75 = (2/5)*75 = 0.4*75 = 30

Yesterday 30 people gave speeches. There are 75-30 = 45 people left.

1/3 of 45 = (1/3)*45 = 15

Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.

[tex]675\pi =\pi (5^2)h[/tex]              [divide both sides by π]

[tex]675 = (5^2)h[/tex]                  [exponent]

[tex]675=25h[/tex]                     [divide both sides by 25]

[tex]h=27[/tex]

Now, we know that the height is 27 cm.

Answer:

80.80

Step-by-step explanation:

3394/42 simplified would be 1697/21

as a mixed form it would be 80 and 17/21

As a decimal, 80.809...

Hope this helps :)

Well, this should be a bit easy.

We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]

We can also multiply the entire fraction by an integer.

( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)

:)

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

Answer:

[tex]\frac{36}{7}[/tex]hours

Step-by-step explanation:

First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.

[tex]86-14 = 72[/tex]

We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:

[tex]72/14 \approx5.14285714286[/tex]

I would just simplify because this decimal isn't exact

[tex]72/14 = 36/7[/tex]

So 36/7 hours

Answer:

12z−32

Step-by-step explanation:

Distribute:

=(−4)(z)+(−4)(3)+(−4)(5)+(−4)(−4z)

=−4z+−12+−20+16z

Combine Like Terms:

=−4z+−12+−20+16z

=(−4z+16z)+(−12+−20)

=12z+−32

Answer:

D is the correct answer

Answer:

21:126

6:36

1:6

Step-by-step explanation: