32x - 12.8 simplify plz

Answer:

volume 1 =763 cm3

volume 2 = 6,104 cm3

Second volume is 8 times greater than the first volume.

Surface area 1 = 466 cm2

surface area 2 =1,865 cm2

second surface area is 4 times greater than the first surface area .

Step-by-step explanation:

Volume of a cylinder: π radius^2 x height

Radius = diameter /2 = 9/2 = 4.5

V = 3.14 x 4.5^2 x 12 = 763 cm3

Surface area: (3.14 r^2)2 + 2(π x radius x height)

Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2

Since the second canister is double the size:

Radius = 4.5 x 2 = 9

Height = 12 x 2 =24

V = 3.14 x 9^2 x 24 = 6,104 cm3

Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2

Dividing the second volume by the first one:

6,104/ 763 = 8  

Second volume is 8 times greater than the first volume.

Dividing the second surface area by the first one:

1865/466 = 4

second surface area is 4 times greater than the first surface area .

Answer:

A.) Mean = 237.9

B.) Median = 240

C.) Mode = 199

D.) Midrange = 239.5

Step-by-step explanation:

The given data are :

293 255 264 240 190 295 199 184 293 205 199

The mean = (sum of X) / f

Where frequency f = 11

X = 293 + 255 + 264 + 240 + 190 + 295 + 199 + 184 + 293 + 205 + 199

X = 2617

Substitute X and f into the formula

Mean = 2617/11

Mean = 237.9 approximately

B.) To get the median, you need to first rearrange the data, then pick the middle number.

184 190 199 199 205 240 255 264 293 293 295

The median = 240

C.) The mode is the highest frequency. That is the most occuring number

Mode = the two most occuring numbers are 199 and 293

D.) Range = highest number - lowest number

But midrange = (highest number + lowest number ) ÷ 2

Highest number = 295

Lowest number = 184

Substitute into the formula

Midrange = (295 + 184)/2

Midrange = 479/2

Midrange = 239.5

Answer:

(5, -3)

Step-by-step explanation:

Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).

On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.

Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.

According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5

Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.

Hence, the coordinates satisfying this points (x,y) is (5, -3)

Answer:

1040

Step-by-step explanation:

Answer: The number is 1040.

Step-by-step explanation:

The question says 12.5% of a number is 130 so we can represent it by the equation.

12.5% * x = 130   where x is the number.Solve for x

12.5% * x = 130   convert 12.5% to a decimal

0.125 * x = 130

0.125x = 130   Divide both sides by 0.125

x= 1040  

Check.  

1040 * 12.5% = 130

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

(2)

3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]

Answer:

-6x

Step-by-step explanation:

you can combine numbers with the same coefficient like any other number

Answer:

-6x

Step-by-step explanation:

It would be doing the same thing as -9 + 3, but without a variable.  

Answer:

6400

Step-by-step explanation:

Taxable amount=45000-13000=32000

tax=32000*20/100

=6400

Answer: 2

Step-by-step explanation:

Answer:

2...........

Step-by-step explanation:

1 + 1 = 2............

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

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

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0   x+7 =0

x = 8   x=-7

Since the length cannot be negative x cannot be negative

x=8

Answer:

8

Step-by-step explanation:

put the 50 under area and continue with like that

Answer:

x² - 9

Step-by-step explanation:

Given

(x + 3)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 3(x - 3) ← distribute both parenthesis

= x² - 3x + 3x - 9 ← collect like terms

= x² - 9

Answer:

Step-by-step explanation:

[tex](x + 3)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex]x(x - 3) + 3(x - 3)[/tex]

Calculate the product

[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]

Multiply the numbers

[tex] {x}^{2} - 3x + 3x - 9[/tex]

Since two opposites add up to zero, remove them from the expression

[tex] {x}^{2} - 9[/tex]

Hope this helps..

Best regards!!

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i checked on edge

Answer:

3/8

Step-by-step explanation:

If 5/8 of the staff is male, then 8/8 is the total number of staff.

8/8 - 5/8 = 3/8

3/8 of the staff is female.

Hope this has helped. If the question has more to it, then please specify.

Answer:

The answer is a

Step-by-step explanation:

my brother is very smart

Answer:

5

Step-by-step explanation:

To find the points for each question, you must divide the number of points (200) by the number of questions (40) to get the number of points for each question

[tex]\frac{200}{40}[/tex]

Divide 200 by 40 to get

[tex]\frac{5}{1}[/tex] or [tex]5[/tex]

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day!

Answer:

5 points

Step-by-step explanation:

200points / 40 questions = 5points/1question

then:

1 questión worths 5 points

Answer:

James has 8 cousins

Step-by-step explanation:

Bryan =5

Jane =Bryan + 11=5+11=16 ( Bryan has 11 cousins less than Jane)

James: 1/2 Jane=16/2=8 cousins ( Jane has twice as James)

Answer:

supplementary

Step-by-step explanation:

Since a and b form a straight line, they will add to 180 degrees

Two angles that add to 180 degrees are supplementary angles

Answer:

[tex]\sqrt[3]{88c^{2} }[/tex]

Step-by-step explanation:

If we have a term to a fractional power, that’s the same as finding the denominator root of the number - if the numerator of the fraction isn’t 1, then the term itself inside the root sign becomes the term to the numerator power.

So - since the denominator of this fraction is 3, we find the cube root of 88c. Since the numerator is 2, we square 88c.

[tex]\sqrt[3]{88c^{2} }[/tex].

Hope this helped! (By the way, this was my 100th answer!)

Answer:

m∠CDE = 60°

Step-by-step explanation:

Given that the arc at the center = 2 times the arc at the circumference, we have;

Angle at the center = arc CE = 120°

Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE

We note that m∠CDE is the acute angle between chord DC and DE

Therefore, we have;

Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE

120° = 2 × m∠CDE

m∠CDE = 120/2 = 60°

Therefore the angle of m∠CDE is equal to 60°.

Answer:

469.4ft²

Step-by-step explanation:

We have Triangle WXY

In the question, we are given already

Angle W = 27°

Angle X = ?

Angle Y = 40°

Side w =?

Side x = ?

Side y = 38ft

Area of the triangle= ?

Step 1

We find the third angle = Angle X

Sum of angles in a triangle = 180°

Third angle = Angle X= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Step 2

Find the sides w and x

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

We have the following values

Angle W = 27°

Angle X = 113°

Angle Y = 40°

We are given side y = 38ft

Finding side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Finding side x

x / sin X= y/ sin Y

x/ sin 113 = 38/sin 40

Cross Multiply

sin 113 × 38 = x × sin 40

x = sin 113 × 38/sin 40

x = 54.41795ft

x = 54.42ft

To find the area of triangle WXY

We use heron formula

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √

Area of the triangle = 469.40772706541ft²

Approximately to the nearest tenth =469.4yd²

Answer:

40 apples

Step-by-step explanation:

2 apples= [tex]\frac{1}{5}[/tex] grams

x apples= 4 grams

 8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40

Answer:

40

Step-by-step explanation:

edu instruction correct

Answer:

-5

Step-by-step explanation:

2^2*(3-8)÷5-1

4*(-5)÷4

-20÷4

=-5

Answer:

-5

Step-by-step explanation:

Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

Answer:

32 inches by 64 inches

Step-by-step explanation:

Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.

Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus

[tex]\frac{8}{3}[/tex] × 12 = 32

[tex]\frac{8}{3}[/tex] × 24 = 64

Thus dimensions are 32 inches by 64 inches

Answer:

The dimensions are 32 inches by 64 inches

Answer: w= 52h

Step-by-step explanation:

Given: Maya is interning at a law firm over the summer and is paid by the hour.

Her hourly pay = $52

i.e. She is paid $52 per hour.

Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.

Now, (Total wages earned) = (hourly pay) x (Number of hours)

w = (52) (h)

⇒ w= 52h

Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h

Answer:52h

Step-by-step explanation: tried got it right

Answer:

A box plot should be used in a situation when you need the median and quartiles.  A dot plot should be used when you need exact numbers.  The strengths of a box plot is that it shows a big data sets into a rounded form.  The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.

Hope this helped?

Answer:

Below

Step-by-step explanation:

● cos O = 2/3

We khow that:

● cos^2(O) + sin^2(O) =1

So : sin^2 (O)= 1-cos^2(O)

● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9

● sin O = √(5)/3 or sin O = -√(5)/3

So we deduce that tan O will have two values since we don't khow the size of O.

■■■■■■■■■■■■■■■■■■■■■■■■■

●Tan (O) = sin(O)/cos(O)

● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)

● tan (O) = √(5)/2 or tan(O) = -√(5)/2

Answer:

36 in²

Step-by-step explanation:

The figure that is been described is a Parallelogram.

The area of a Parallelogram is = Base × Height

From the question, the Height of the Parallelogram = 4 inches

The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle

= 5 inches + 4 inches

= 9 inches

Area of the Parallelogram = 9 inches × 4 inches

= 36 square inches or 36 in²

Answer:

20 INCHES SQUARED

Step-by-step explanation:

Answer:

Total possible outcomes = 6×6 = 36

a) P(5) = 1/9

b) P(11) = 1/18

c) P(two and six) = 1/36

Step-by-step explanation:

A black die and a white die are thrown at the same  time.

Each die has six sides so total possible outcomes are

Total possible outcomes = 6×6 = 36

The possible outcomes are given below:

(1, 1)  (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

a) Find the  probability of obtaining a total of 5

Number of ways to get a total of 5 = (1, 4) (2, 3) (3, 2) (4, 1)

Number of ways to get a total of 5 = 4

The probability is given by

P = Number of desired outcomes/total number of outcomes

P(5) = 4/36

P(5) = 1/9

b) Find the  probability of obtaining a total of 11

Number of ways to get a total of 11 = (5, 6) (6, 5)

Number of ways to get a total of 11 = 2

The probability is given by

P(11) = 2/36

P(11) = 1/18

c) a 'two' on the black die and a six' on the white die.

There is only one way to get a two on the black die.

Probability of obtaining a two on the black die = 1/6

There is only one way to get a six on the white die.

Probability of obtaining a six on the white die = 1/6

P(two and six) = 1/6×1/6

P(two and six) = 1/36