For a given set of rectangles, the length varies inversely with the width. In one of
these rectangles, the length is 9 and the width is 7. For this set of rectangles, calculate
the width of a rectangle whose length is 21.

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

Answer:

x > 1/6.

Step-by-step explanation:

–2(8x – 4) < 2x + 5

-16x + 8 < 2x + 5

-18x < -3

x > 1/6.

The solution to the inequality expression is x > 1/6

Given the inequality expression

–2(8x – 4) < 2x + 5

Expand the parenthesis

-16x + 8 < 2x + 5

Subtract 5 from both sides

-16x + 8 - 5 < 2x + 5 - 5

-16x + 3 < 2x

-16x - 2x < -3

-18x < -3

Divide both sides by -18

-18x/-18 > -3/-18

x > 1/6

Hence the solution to the inequality expression is x > 1/6

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Answer:

30 baloons

Step-by-step explanation:

1. Remove the price of the banner from the total amount you can spend.  You should then end up with $90

2.  Divide 90 by 3, because each balloon costs $3.  You should end up with 30.

Answer:

30 balloons

Step-by-step explanation:

Cost of banner = $ 35

Remaining amount after paying for banner = 125 - 35 = $90

Number of balloons = Remaining amount ÷ cost of one balloon

= 90 ÷ 3

 = 30

Answer: im on this one too

Step-by-step explanation:

Answer:

sqrt( 17^2+ 25^2)

Step-by-step explanation:

Since this is a right triangle, we can use Pythagorean theorem

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse

Taking the square root of each side

sqrt(a^2+b^2) = QR

sqrt( 17^2+ 25^2) = QR

Answer:

[tex] \small \sf A. \sqrt{25 {}^{2} + 17 {}^{2} } [/tex]

Step-by-step explanation:

Using pythagoras theorem

( Base) ² + ( Perpendicular) ² = (Hypotenuse) ²

( QS)² + ( RS)² = (OR )²

( 25 )² + ( 5 )² = OR²

Taking square root of each side.

[tex] \sqrt{25 {}^{2} + 17 {}^{2} } = \sqrt{OR}[/tex]

[tex] \sqrt{25 {}^{2} + 17 {}^{2} } = {OR}[/tex]

Step-by-step explanation:

Write what you knkw

all triangles' angles add to 180

180 =x + (106 + 48) solve for x

Answer:

answer below

Step-by-step explanation:

angles of a Tringle Addup to 180

let <2=x

61+58+x=180

x=180-61-58

x= 61°

now we know that the triangle was an isocelies triangle

<2=61°

But <2 and <4are on a straight line

therefore the sum of the angles are 180

<2+<4=180°

61°+<4=180°

<4=180°-61°

<4=119°

Answer:

137

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total number of ways,

⇒ [tex]^{m} C_{k} =[/tex] m! / (m - k)! k!

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

⇒ [tex]^{m} P_{k} =[/tex] m! / (m - k)!

This is called permutation of k items chosen out of m items (all distinct).

Given that:

The considered lock as a 3 number code

There are 15 numbers available.

None of the number can repeat.

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order is,

⇒  [tex]^{m} P_{k} =[/tex] m! / (m - k)!

⇒  [tex]^{15} P_{3} =[/tex] 15! / (15 - 3)!

            = 15! / 12!

            = 2730

Thus, The number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

True

Step-by-step explanation:

~Is SAA side-angle-angle

Answer:

the probability is 50% or 1/2 (equally likely and equally unlikely)

That is because it does not state the amount of socks inside the draw; meaning the answer has to be theoretical.

If the probability is the same, than it has to equal to 100

so we can conclude that 1/2 of the drawer is blue socks and 1/2 is white socks.

Answer:

12 is 85.714285714286% of 14.

Answer:

Sin31°= 11/x

x = 11/Sin31

x= 21.4. ( Nearest tenth).

Answer:

x ≈ 21.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )

x × sin31° = 11 ( divide both sides by sin31° )

x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )

Answer:

0.41

1.836 (since it is already a decimal)

0.12

Step-by-step explanation:

Answer:

41% = 0.41

1.836 = already a decimal

6/50 = 0.12

Answer:

Step-by-step explanation:

Answer:

235.5.

Step-by-step explanation:

VOLUME: THE AMOUNT OF SPACE OCCUPIED BY A 3D OBJECT.

The formula for volume of a cylinder is:

[tex]pi*r^2*h (3.14 * radius *radius * height)[/tex]

The radius of this cylinder is 5 and the height is 3.

Now, we can plug the numbers in the formula.

SOLVE:

[tex]pi *5^2*3(3.14*5*5*3)=235.5.[/tex]

The product of the equation is 235.5.

I, therefore, believe the volume of this cylinder is 235.5.

Answer:

3) 6.16

4) -11

5)1.73

6) -3.16

I hope I'm right and if not then I'm sorry :/

Answer:

3,6.16441400297

4,10.9544512

5,1.73205080757

6,3.16227766

Answer:

The Prime Factorization of 3960 is 23 × 32 × 51 × 111.

Step-by-step explanation:

Given:

[tex]\angle ABC\cong \angle D EF[/tex]

[tex]\angle GHI\cong \angle DE F[/tex]

To prove:

[tex]\angle ABC\cong \angle GHI[/tex]

Solution:

The two common proof is:

Statements                                    Reasons

1. [tex]\angle ABC\cong \angle DE F[/tex]                          1. Given

2. [tex]\angle GHI\cong \angle D EF[/tex]                         2. Given

3. [tex]\angle ABC\cong \angle GHI[/tex]                         3. Transitive property of congruence.

Hence proved.

Answer:

(x +1) (x-1) (x +4) (x-4)

Step-by-step explanation:

The factorization of x^4-17x^2+16 is

(x+1) (x-1) (x+4) (x-4)

Answer:

(x+4)(x-4)(x+1)(x-1)

Step-by-step explanation:

Answer:

If he spent no more than $42 dollars and the shipping is 6 in addition to the 4 dollars. I think he may be able to get 20 magazines.

Answer:

Solution given:

A(x1,y1)=(-4,-4)

M(x,y)=(-7,1)

N(x2,y2(x,y) let

we have

midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}

(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value

-7=(-4+x)/2

-14=-4+x

x=-14+4

x=-10

and

1=(-4+y)/2

2=-4+y

y=4+2

y=6

coordinates of N is (-10,6)

Answer:

5 1/3 > 5.3

Step-by-step explanation:

1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...

The fraction 5 1/3 is greater than 5.3.

A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.

For the given situation,

The decimal number is 5.3.

The mixed fraction is 5 1/3.

First, convert this fraction to a decimal number to check which is greater.

[tex]5\frac{1}{3}=\frac{16}{3}[/tex]

⇒ [tex]5.33[/tex]

On comparing these two decimals 5.33 and 5.3, we can conclude that    5 1/3 is greater than 5.3.

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Answer:

-79/53 - 38i/53

Step-by-step explanation:

Answer:

Solution given:

time [t]=3years

principal [p]=Rs2400

rate[r]=?

simple interest [S.I]=Rs 576

we have

S.I=ptr/100

576=2400*3*r/100

576=72r

r=576/72

r=8%

now

principal [p]=Rs 4200

time[t]=2years

rate[r]=8%

simple interest [S.I]=?

we have

S.I= ptr/100=4200*2*8/100=Rs 672

The required interest is Rs 672.

Answer:

Ice, ig.

It is made up of the remaining part of the solar system, after all.

Hope it helps you

Please mark as brainliest

Step-by-step explanation:

it A Just took the test

dhjensjznf ren

Answer:

See answers below

Step-by-step explanation:

Find the diagram attached

To get AB, use the pythagoras theorem;

AB² = 12² + 9²

AB² = 144 + 81

AB² = 225

AB = √225

AB = 15

Since

Hypotenuse = AB

sin <A = BC/AB

Sin <A = 12/15

Sin <A = 4/5

<A = arcsin(0.8)

<A = 53.13degrees

Sin <B = AC/AB

Sin<B = 9/15

Sin <B = 0.6

<B = arcsin(0.6)

<B = 36.87degrees

Answer:

195

Step-by-step explanation:

create a proportion: # tests/time = # tests/time

let 't' = # tests graded

117/3 = t/5

cross-multiply to get:

3t = 585

t = 585/3 which equals 195