Thanom has a roll of paper consisting of a very long sheet of thin paper tightly rolled around a cylindrical tube, forming the shape indicated in the diagram.


Initially, the diameter of the roll is 12cm and the diameter of the tube is 4cm.
After Thanom uses half of the paper, the diameter of the remaining roll is closest to

Answer:

[tex]w=\frac{420}{p}[/tex]

Step-by-step explanation:

So generally a direct proportion can be expressed as:

[tex]k=\frac{y}{x}[/tex]

essentially where the y/x is equal to some constant value.

Whenever you have an inverse proportion, you can generally express it as:

[tex]k=xy[/tex]

where the product of x and y is equal to some constant value.

So we can check for inverse proportion, by seeing if the xy product is constant

1 * 420 = 420

2 * 210 = 420

3 * 140 = 420

Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as: [tex]wp=420[/tex]

We can divide both sides by p, so we can isolate the dependent variable (p)

[tex]w=\frac{420}{p}[/tex]

Answer:

  D.  1200 gallons

Step-by-step explanation:

Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.

Let g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:

  0.50g -0.35g = 180

Collecting terms gives ...

  0.15g = 180

Dividing by the coefficient of g, we find ...

  g = 180/0.15 = 1200

The gas station sold 1200 gallons of fuel last weekend.

__

Additional comment

That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.

First question: A

Second Question: A

The equation of the circumference of a circle is 2pi radius you multiply the radius by 2 and then multiply it by pi.

Hope this helps :) ....

o 16 30 one

as it forms a pattern

Answer:

Hope the picture will help you......

Answer:

◘ 12 pears

◘ 3 pineapples

◘ 10 kiwis

Step-by-step explanation:

Let [tex]x[/tex] be the number of pears bought.

Therefore:

• number of pears = [tex]x[/tex]

• number of pineapples = [tex]x - 9[/tex]

• number of kiwis = [tex]x - 2[/tex]

We know that the total cost was $13.50.

This means if she bought [tex]x[/tex] pears at $0.50 each, [tex](x - 9)[/tex] pineapples at $1.50 each, and [tex](x -2)[/tex] kiwis at $0.30 each, the total would be $13.50.

∴  [tex][x \times 0.50] + [(x-9) \times 1.5] + [(x-2) \times 0.3] = 13.50[/tex]

Expanding and multiplying:

⇒ [tex]0.5 x + 1.5x - 13.5 + 0.3x - 0.6 = 13.5[/tex]

Collect like terms:

⇒ [tex]2.3x -14.1 = 13.5[/tex]

Solve for [tex]x[/tex]:

⇒ [tex]2.3x = 13.5 + 14.1[/tex]

⇒ [tex]2.3 x = 27.6[/tex]

⇒ [tex]x = 27.6 \div 2.3[/tex]

⇒ [tex]x = \bf 12[/tex]

Therefore, she bought:

• 12 pears

•  [tex]x - 9[/tex] = 12 - 9 = 3 pineapples

• [tex]x - 2[/tex] = 12 - 2 = 10 kiwis

Marita bought 12 pears, 3 pineapples and 10 kiwis.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Let x the number of pears bought,

y the number of pineapples bought,

z the number of kiwis bought,

Given that, Marita bought 9 more pears than pineapples and 2 fewer kiwis than pears,

y + 9 = x

y = x -9 and

z + 2 = x

z = x - 2

We know that the total cost was $13.50.

This means if she bought  pears at $0.50 each,  pineapples at $1.50 each, and  kiwis at $0.30 each, the total would be $13.50.

∴  0.50x + 1.50y+ 0.30z = 13.50

Substitute the values of y and z in equation,

⇒ 0.50x + 1.50(x -9)+ 0.30(x - 2) = 13.50

Expanding and multiplying terms in equation,

⇒  0.50x + 1.50x -13.50+ 0.30x - 0.60 = 13.50

Rearrange the like terms and apply the arithmetic operation

⇒ 2.3x - 14.1 = 13.50

⇒ 2.3x = 13.50 + 14.1

⇒ 2.3x = 27.6

⇒ x = 27.6/2.3

⇒ x = 12

Therefore, the number of pears bought = 12

So, the number of pineapples bought = 12 - 9 = 3

And the number of kiwis bought = = 12 - 2 = 10

Hence, Marita bought 12 pears, 3 pineapples and 10 kiwis.

Learn more about Arithmetic operations here:

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Answer:

80, 40, 40

Step-by-step explanation:

The rule is if the number before the tens place is 5 or more round up and if it is 4 or less round down.

I like to look at it without the rule and what makes sense.

82.14:  my choices are 80 or 90.  What number is 82.14 closer to on the number line?  80.

38.5  The choices are 30 and 40.  This number on a number line would be closer to 40

41.3  The choices are 40 and 50.  On a number line this number would be closer to 40.

Answer:

100,000

Step-by-step explanation:

From 0 to 99,999.

99,999 + 1 = 100,000

Also, there are 5 digits, and each digit can be one of ten.

10 × 10 × 10 × 10 × 10 = 100,000

Answer:

90 000 possibilities

Step-by-step explanation:

I will assume that numbers beginning with  0  are not valid  

  AND assume you can repeat the numbers

9 choices for first digit    ( because you can't use ' 0 ' )

10 choices for second

10 choices for third

10 choices for fourth

10 choices for last

9 x 10 x 10 x 10 x 10 = 90 000

Step-by-step explanation:

As we know, for any function domain is referred to as the set of input values that can be taken for an independent variable in the given function. Range of a function is defined as the set of output values generated for the domain (input values) of the function. In the case of a step function, for each value of x, f(x) takes the value of the greatest integer, less than or equal to x. For example:

[-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

QSWCXAD

Step-by-step explanation:

QSQWW

Answer:

10.8

Step-by-step explanation:

Answer:

45⁰

Step-by-step explanation:

The quadrilateral ABCD is a square.

Since the question stated that all the sides are equal. (AB=BC=CD)

It also stated that the diagnonals are equal. (AC=BD=AD)

I wish I could draw to explain this easily

A square has four right angles.

A right angle is a 90⁰ angle.

The diagonals divide each 90⁰ angle by 2

I hope you know what a diagonal is.

It is a line from a corner of the square to the opposite corner. This cuts the square into two equal sides.

After drawing the first diagonal two triangles of equal size will be seen.

After drawing the second diagonal the two triangles that appeared will each be cut into halves.

Now, you'll have four equal triangles.

think of it as a square pizza cut into four slices...

Uh huh , now you understand

Answer:

Sales increase with a decrease in the price.

Step-by-step explanation:

If [tex]x = \frac{1}{r} +1[/tex]

We have:

[tex]xr + 2/3 = 2r\\ < = > xr - 2r = -2/3\\ < = > (x - 2)r = -2/3\\ < = > (1/r + 1 -2) r = -2/3\\ < = > (1/r - 1)r = -2/3\\ < = > (1/r)r - (1)r = -2/3\\ < = > 1 - r = -2/3\\ < = > r = 1 + 2/3 = 5/3[/tex]

ANSWER: r = 5/3 if x = 1/r + 1

Ok done. Thank to me :3

Answer:

224

Step-by-step explanation:

a = (bxh)/2

a = (28x16)/2

a = 448/2

a = 224

Answer:

224 Sq. units

Step-by-step explanation:

A=16x28= 448 sq

=448/2

=224 Sq. units

I hope it's right

Answer:

96 Cherries

Step-by-step explanation:

This is a question on some unit conversions.

First we convert 3 pounds to ounces.

Given 16 ounces = 1 pound,

3 pounds = 3 x 16 ounces = 48 ounces

Next, we will find the number of cherries required.

Number of Cherries required = Total weight of cherries needed (in ounces) / Weight per cherry.

= [tex]\frac{48}{0.5}[/tex]

= 48 * 2

= 96 cherries

Answer:

x ≤ -9

Step-by-step explanation:

to solve this equation you must subtract 5 from both sides

you get

x ≤ -9

that is your answer

Answer:

It is equal to:

49ab + 21a^3 b^2 + 17a^2 b^3 + 53a^3 + 5a

Step-by-step explanation:

Answer:

-1656a2b2+1224a3b4+360a2b-483a4b3+357a5b5+105a4b2-1219a4b3+901a5b3+265a4

Step-by-step explanation:

distibute

Answer:

-6

Step-by-step explanation:

your equation isnt in slope interecept form

y=mx+b

4=x/6-2 is what is see

so i would assume b is -6

Answer:

[tex]x=\frac{1}{r} +1[/tex]

Step-by-step explanation:

[tex]r=\frac{1}{x-1}[/tex]
[tex]r(x-1)=1[/tex]
[tex]x-1=\frac{1}{r}[/tex]
[tex]x=\frac{1}{r} +1[/tex]

Answer:

[tex]x=\dfrac{1+r}{r}[/tex]

Step-by-step explanation:

Given equation:

[tex]r=\dfrac{1}{(x-1)}[/tex]

Multiply both sides by (x - 1):

[tex]\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)[/tex]

[tex]\implies r(x-1)=1[/tex]

Expand the brackets:

[tex]\implies rx-r=1[/tex]

Add r to both sides:

[tex]\implies rx-r+r=1+r[/tex]

[tex]\implies rx=1+r[/tex]

Divide both sides by r:

[tex]\implies \dfrac{rx}{r}=\dfrac{1+r}{r}[/tex]

[tex]\implies x=\dfrac{1+r}{r}[/tex]

Answer:i think C or E!

Step-by-step explanation:

Answer:

Its either C or E, I'm not sure

Answer:

ITS 3

Step-by-step explanation:

The equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

Given an expression [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex].

We are required to find the equivalent expression of the given expression.

Expression is combination of numbers, fraction,symbols, coefficients, determinants, indeterminants or algebraic operations.  It shows some relationship also. It is found without equal to form.

Expression is [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]

It is in fraction as we know that fraction is combination of two numbers one is numerator and denominator.

First we need to multiply the powers present in numerator and denominator.

=[tex](1.3)^{-18} /[{(1.2)^{2}}^{-24} ][/tex]

We have to invert the numerator and denominator because the powers in negative.

=[tex][(1.2)^{2}]^{24} /(1.3)^{18}[/tex]

Hence the equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

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Answer:

45 degrees

Step-by-step explanation:

OK so

is L and N are equal you can represent that as 2x

the remaining angle should be 90 because right triangles always have a 90 degrees angle somewhere

you know that all three angles of a triangle add up to 180 so that's what the total is

2x+90=180

subtract 90 from both sides

2x=90

divide both sides by 2

x=45

Answer:

65

Step-by-step explanation:

845 beads divided by 13 beads is 65. You can make 65 bracelets.