Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100

Answer:

If 60% of a number is 90.

Suppose that the number is N.

60% of that number can be written as:

(60%/|00%)*N = 0.6*N = 90

Now we can solve that for N

0.6*N = 90

N = 90/0.6 = 150.

for the second part, we have that:

% of a number is 180, what is the 150%?

We do not have the first percentage, so i could not really answer this, so lets do it in a general way.

A% of a number N, is equal to 180.

(A%/100%)*N = 180

(A/100)*N = 180

Then:

N = 180*(100/A).

Now we want to compute the 150% of this number, this will be:

(150%/100%)*N

0.15*N = 0.15*180*(100/A). = 0.15*18,000/A = 2,700/A

Where A will depend on the first percentage.

Answer:

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

and

[tex]339.292 cm^3[/tex]

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]  

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

[tex]r = \frac{8}{2}=4[/tex]

r = 4

Plug everything into the volume equation.

[tex]V = \pi 4^2 (9)[/tex]

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

[tex]r = \frac{4}{2}=2[/tex]

r = 2

Plug everything into the volume equation..

[tex]V = \pi 2^2 (9)[/tex]

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]

This means..

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

That is your answer to the first part of the question.

For the second part, just solve.

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

[tex](\pi*16*9)-(\pi*4*9)[/tex]

[tex](\pi*144)-(\pi*36)[/tex]

[tex]144\pi-36\pi[/tex]

[tex]108\pi[/tex]

[tex]339.292[/tex]

Don't forget the units.

[tex]339.292 cm^3[/tex]

Hope this helped you!

Answer:

What ever the other guy said

Step-by-step explanation:

Answer:

90 centimetres per day

Step-by-step explanation:

Given that:

One of the Bamboo species growth can be seen.

Growth in [tex]\frac{1}{3}[/tex] of a day = 30 cm

To find:

The growth per day in centimetres as a proper fraction, mixed number or whole number.

Solution:

If we are given that:

The growth of a bamboo tree is [tex]y[/tex] centimetres in [tex]x[/tex] number of days.

Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.

Formula can be written as:

Growth per day = [tex]\frac{y}{x}[/tex]

We are given that:

[tex]y = 30\ cm\\x = \frac{1}{3}\ days[/tex]

Putting the values, we get:

[tex]\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}[/tex]

Answer:

hello thank you

Step-by-step explanation:

Answer:

TYSM    Have a great Day!!!

:)

Step-by-step explanation:

低于当地人民：或立场上有一些事情了！儿女情长的好了吗我想做出

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

Answer:

It's Number A.

Step-by-step explanation:

It is number A because she walks 15 miles per hour, the ratio would be

hours - miles.

So, it means there are 15 miles to 4 hours.

Answer:

Part A: so that no single branch has to much power

Part B: "Each branch of government must check the actions of the other two branches to prevent one branch from having too much power."

Answer:

Part A is the first choice and part B is the second choice

Answer:

Step-by-step explanation:

$13+$5.50=$18.50

$29.50 divided by $18.50=Your Answer

Answer:

You can rent canoe for 3 hrs.

Step-by-step explanation:

Say R = Rent

h = hours of using

* Rent needs to be added when we pick the canoe itself

* Hours should be multiplied with $5.50 to get total spent money.

R + 5.50h = 29.50

R=13

13+5.50h = 29.50

5.50h= 29.50-13

5.50h = 16.50

h = $16.50/$5.50 (

h = 3

q1, 96£ q2, 588€

Step-by-step explanation:

q1, 120€×80/100 the zeroes are cancelled then 12×8=96€

q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€

Answer:

i think its d

Step-by-step explanation:

not copying i think

Answer:

C - y = 3x - 2

Step-by-step explanation:

I took the test. Hope this helps! :)

Answer:

∠KYR = 43 degrees

Step-by-step explanation:

1. We know that the entire angle equals to 90 degrees because it is a right angle.

First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90

3c + 64 + 5c + 82 = 90]

8c + 146 = 90

     - 146     -146

8c = -56

c = -7

Now we have to find the value of angle KYR so just plug in -7 for c

3(-7) + 64 = 43

Can get brainliest please?

4300

6 is ones

1 is tens

3 is hundreds

4 is thousands

therefore the answer is 4300

If 4316 is rounded to the nearest 100 then its value will be, 4300

Rounding means making a number simpler but keeping its value nearby original value.

Rules for rounding nearest 100:-

1. If the number's final two digits are 50 or higher, we round it up to the next hundred.

2. If the number's final two digits are 49 or less, we round it down to the closest hundred.

3. If the final two numbers are 00, there is no need to round because the number is already one hundred.

We have given number, 4316

Number's final two digits are less than 49

Hence, The rounded value is 4300

To know more about  Rounding check:

https://brainly.com/question/29878750

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Answer:

Try to understand by substitute a number in a and n.

Step-by-step explanation:

For example,

a=2, n=1

a^n= 2^1= 2

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

2^(-1)=0.5

Step-by-step explanation:

[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]

~Math Induction

[tex] \: [/tex]

—Prove that n = 1

[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]

[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]

[tex] \: [/tex]

—Prove that n = k

[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]

[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]

[tex] \: [/tex]

—Prove that n = k + 1

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]

[tex] \: [/tex]

Proved that 1/a^n = a^-n

Answer:

x = x amount of chips in 1 bag

x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags

Answer:

28

Step-by-step explanation:

200/7

=28.5714285714

Therefore, at most 20 tents can be put up.

PLS GIVE BRAINLIEST

Answer:

(0,5)

Step-by-step explanation:

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

----------------------------------------------------

6 men            3 m hole              4 days

10 men           7 m hole             x days

-----------------------------------------------------

As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:

[tex]rate\:=\:\frac{4}{3}[/tex]

Then  [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.

so

[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]

             [tex]=5.6[/tex]   days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Answer:

option 1

as the sides were already given, A and D are the only way that the triangle can have SAS.

The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.

The  SAS theorem states that if two triangles have a congruent angles and the sides that define the angle  are proportional, the two triangles are similar.

Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24

Then AB/ DE = 7/14 = 1/2

 and AC / DF = 12/24 = 1/2

∴ AB / DE = AC/ DF

Therefore the sides AB and AC are proportional to DE and DF

And for the application of SAS the angle defined by these pairs must be congruent.

AB and AC defines ∠A and DE and DF defines ∠D

Thus, ∠A must  be congruent to  ∠D so that SAS can be to applied to make the given triangles similar.

Therefore, option 1. ∠A ≅ ∠D  is correct option

Also, learn more about SAS similarity theorem from the link below:

https://brainly.com/question/22472034

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Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

Answer:What’s your question?

Step-by-step explanation:

Answer:

scalene right

Step-by-step explanation:

all side are opposite and there is a 90% so that makes it right