Jenny had a wardrobe full of 35 different shirts. In order to make more space in her closet, she got rid of 9 of them. What is a reasonable
estimate for the percentage of shirts Jenny got rid of?

Answer:

60 miles per hour

Step-by-step explanation:

Total distance= 180 miles

Total time =3 hours

Average rate of change= ?

Distance= Rate × time

Make Time the subject of the formula

Time= Distance / Rate

Make average rate of change the subject of the formula

Average rate of change = Distance / time

= 180 miles / 3 hours

= 60 miles per hour

Answer:

Perimeter: 88m

Step-by-step explanation:

Area of the square plot = (Side) X (Side)

And we are given the area is 484m²,

therefore, (Side) X (Side) = 484m²

or,

(Side)² = 484, taking square root on both the sides,

[tex]\sqrt{(Side)^{2} }[/tex] = [tex]\sqrt{484}[/tex]

Side = 22m.

And we know that, perimeter of a square is = 4 X (Side)

Therefore, Perimeter = 4 X 22 = 88m

:-)

Answer:

88m

Step-by-step explanation:

Area = 484m^2

A= s^2

484= s^2

s=[tex]\sqrt{484}[/tex]=22m

∴22m=s

⇒So, Perimeter= 4a=22*4= 88m

[tex]_{10}C_3=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot 3}=120[/tex]

Question :-

Answer :-

[tex] \rule{200pt}{3pt}[/tex]

Combinations refers to the number of ways of selecting from a set when the order is not important. The number of combinations of n objects taken r at a time is given by [tex]\sf C(n, r) = \dfrac{n!}{(n - r)!r!}, n \geqslant r[/tex].

Solution :-

As per the provided information in the given question, we have been given that the number of combinations of 10 students taken 3 at a time. We have been asked to calculate the ways that she can choose 3 of the 10 students.

To calculate the ways that she can choose 3 of the 10 students, we will apply the formula below :-

[tex] \qquad \bigstar \: \: \: \boxed{ \sf{ \: \: C(n, r) = \dfrac{n!}{(n - r)!r!} \: \: }}[/tex]

Substitute the given values into the above formula and solve for C:

[tex]\sf:\implies{ C(n, r) = \dfrac{n!}{(n - r)!r!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{(10 - 3)!3!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{7!3!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8 \cdot \cancel{7!}}{ \cancel{7!}3!}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8}{3 \cdot 2}}[/tex]

[tex]\sf:\implies{ C(10, 3) = \dfrac{720}{6}}[/tex]

[tex]\sf:\implies \bold{ C(10, 3) = 120 \: ways}[/tex]

Therefore :-

[tex]\\[/tex]

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Have a great day! <33

Answer: 17.5 miles

Step-by-step explanation:

P=price, L=length

Firm A:

P=2L+10

Firm B:

P=2.40L+3

2.40L+3=2L+10

L=17.5

The fare would be the same for 17.5 miles for both firms.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey . let the fixed component of the fare be k and charge for travelling per mile be x then we have,     20=5x+k. . . (1)

                                                   30=10x+k. . . .(2)

solving these two equations we get x=2 and k = 10

Now let the length of the journey that both firm charge the same is equal to  L and given here that firm B charges a pickup fee of £3 and then £2.40 for each mile travelled. Thus forming the equations we get

2L+10=2.40L+3

0.40L=7

      L=17.5

Hence, The fare would be the same for 17.5 miles for both firms.

Learn more about linear equations here:

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Answer:

x = 1

y = -1

Step-by-step explanation:

3x + 5y = -2

7x - 8y = 15

=> -8y = 15 - 7x

=> -y = 15/8 - 7/8x

=> y = -15/8 + 7/8x

3x + 5(-15/8 + 7/8x) = -2

=> 3x -75/8 + 35/8x = -2

=> 24/8x - 75/8 + 35/8x = -16/8

=> 59/8x - 75/8 = -16/8

=> 59/8x = 59/8

=> x = 59/8 x 8/59

=> x = 472/472

=> x = 1

x = 1

So, 3x + 5y = -2

=> 3 (1) + 5y = -2

=> 3 + 5y = -2

=> 5y = -5

=> y = -5/5

=> y = -1

So, x = 1

=>  y = -1

Answer:

(A) [tex]y = x+3[/tex]

Step-by-step explanation:

Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.

Let's test A first.

[tex]-3 = -6+3[/tex]

Correct, let's try the second pair.

[tex]6 = 3+3[/tex]

Correct, let's try the third pair.

[tex]8 = 5+3[/tex]

So yes, this equation works.

For fun, let's try the other equations.

Let's test B.

[tex]-3 = -6-3[/tex]

This is not true as -6 -3 = -9. So this equation is immediately ruled out.

Let's test C.

[tex]-3 = 2\cdot-6[/tex]

Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.

Let's try D.

[tex]-3 = \frac{1}{2}\cdot-6[/tex]

This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.

Let's try the second pair.

[tex]6 = \frac{1}{2}\cdot3[/tex]

This doesn't work, as half of 3 is 1.5. This equation is also ruled out.

Therefore, A is the only equation that works with these pairs.

Hope this helped!

Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."

Just like in a system of equations, a solution of the system is must be a solution of both equations.

Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.

Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.

So the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

If you want to learn more, you can read:

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Answer:

2/5

Step-by-step explanation:

There are 2 white and 4 yellow  = 6

P(yellow) = yellow /total = 4/6 = 2/3

We keep the ball

Now there are 2 white and 3 yellow  = 5

P(yellow) = yellow /total = 3/5

P ( yellow, keep, yellow) = 2/3 * 3/5 = 2/5

We are given 4 yellow balls and 2 white balls. In total, this adds up to 6.

Divide the number of yellow balls to the total number of balls:

4/6 -> 2/3

We are also given 3 yellow and 2 white.

Divide the number of yellow balls to the total number of balls:

3/5

Divide both fractions together:

3/5 * 2/3 = 6/15 = 2/5

Best of Luck!

Answer:

23

Step-by-step explanation:

Take the amount of money and divide by the hour

46/2 = 23

23 dollars for every hour

The constant of proportionality is 23

Answer: terminating

Step-by-step explanation:

Answer:

7.2 is a terminating decimal.

Step-by-step explanation:

Terminating decimals are decimals that have an end point. The decimal does not continue to go on and on with numbers but, it stops at one number which makes it terminating.

Repeating decimals are decimals that go on and on with the same number or same patterns of numbers.

So, since 7.2 has an endpoint, then it is a terminating decimal.

Answer:

48 portions of salad

Step-by-step explanation:

4 bags spinach = 18 cherry tomatoes = 7.2 lb of chicken

7.2/.75 = 9.6 x 5 = 48

Answer:

About 706.5 square inches.

Step-by-step explanation:

Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]

The radius is half the diameter. So, the radius of the given sphere is 7.5 in.

15/2 = 7.5

Find the surface area:

I use 3.14 for pi.

[tex]SA=4*3.14*7.5^2\\\\SA=4*3.14*56.25\\\\SA=12.56*56.25\\\\\boxed{SA=706.5}[/tex]

The surface area is about 706.5 square inches.

Hope this helps.

Answer:

SA=706.86 in²

Step-by-step explanation:

surface area of a sphere = 4πr²

radius r=d/2=15/2=7.5

SA=4(π)(7.5)²

SA=706.86 in²

Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]

[tex]z_{0.05}[/tex] = 1.64

The margin of error can be computed as follows:

Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]

Margin of error =  [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]

Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]

Margin of error  = [tex]\mathtt{1.64 \times2.3485}[/tex]

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]

=  [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

[tex]\simeq[/tex] (770.45, 778.15)

Answer:

Question 2;

A. 25·x²·y²²

Question 3;

f(g(x)) = 4·x, represents the amount Aurora earns per hour

Step-by-step explanation:

Question 2;

(5·x·y⁵)²(y³)⁴ = (25×x²×y¹⁰)×y¹²

(25×x²×y¹⁰)×y¹² = 25×x²×y¹⁰⁺¹² = 25×x²×y²²

Therefore, the correct option is A. 25·x²·y²²

Question 3;

The given functions are;

The function f(x) = 0.5·x is the earnings of Aurora per ticket sold

The function g(x) = 8·x is the number of tickets Aurora sells per hour

Therefore, we have;

f(g(x)) = 0.5 × g(x) = 0.5 × 8·x = 4·x

The value of the function of a function f(g(x)) = 4·x, represents the amount Aurora earns per hour.

Answer:

1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.

2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.

Answer:

[tex]3 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]

We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\sf 3\sqrt{2}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{6}{\sqrt{2} }[/tex]

[tex]\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}[/tex]

[tex]\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }[/tex]

[tex]\displaystyle \frac{6\sqrt{2} }{2 }[/tex]

[tex]\sf Simplify[/tex]

[tex]3\sqrt{2}[/tex]

Answer:

(7, 5)

Step-by-step explanation:

(x+5)/2, ( y-3)/2)=(6,1)

(x+5)/2=6, x= 7

( y-3)/2=1, y=5

Answer:

Below

Step-by-step explanation:

Notice that x is between 10 and -10 but takes only the values that are integers.

The inequalities:

● we can write an inequality that includes all these values.

● -10 《 x 《 10

This is a possible inequality

Multiply both sides by 2 and you will get a new one:

● -20 《 2x 《 20

You can multiply it by any number to generate a new inequality.

Or you can add or substract any number.

Hi there! :)

Answer:

[tex]\huge\boxed{m\leq 2}[/tex]

Equation:

8m - 6 ≤ 10

Add 6 to both sides:

8m ≤ 16

Divide both sides by 8:

8m/8 ≤ 16/8

m ≤ 2

Answer:

8m - 6≤ 10

m≤2

Step-by-step explanation:

8m - 6≤ 10

Add 6 to each side

8m - 6+6≤ 10+6

8m ≤ 16

Divide each side by 8

8m/8 ≤16/8

m≤2

Answer:

a. quarter and eighth notes is the best option

Step-by-step explanation:

you can get help from this attachment

hope it will help you :)

Answer:

18

Step-by-step explanation:

3⋅6−2+2​

Use PEMDAS = Parentheses, Exponent, Multiplication, Division, Addition, Subtraction

First we multiply, then add or subtract so,

18 - 2 + 2

Now we subtract,

16 + 2

Now we add,

18

Answer:

Reflection.

Step-by-step explanation:

Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.

On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.

At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.

Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.

Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection.

Answer:

--1-- (of set 23456)

2   4

5 3

 6

--2-- (of set 23456)

2   3

5 4

 6

--3-- (of set 23456)

2   5

6 3

 4

--4-- (of set 23456)

2   3

6 5

 4

--5-- (of set 23456)

3   5

4 2

 6

--6-- (of set 23456)

3   2

4 5

 6

--7-- (of set 23456)

3   6

5 2

 4

--8-- (of set 23456)

3   2

5 6

 4

--9-- (of set 23456)

3   5

6 4

 2

--10-- (of set 23456)

3   4

6 5

 2

--11-- (of set 23456)

4   5

3 2

 6

--12-- (of set 23456)

4   2

3 5

 6

--13-- (of set 23456)

4   6

5 3

 2

--14-- (of set 23456)

4   3

5 6

 2

--15-- (of set 23456)

5   4

2 3

 6

--16-- (of set 23456)

5   3

2 4

 6

--17-- (of set 23456)

5   6

3 2

 4

--18-- (of set 23456)

5   2

3 6

 4

--19-- (of set 23456)

5   6

4 3

 2

--20-- (of set 23456)

5   3

4 6

 2

--21-- (of set 23456)

6   5

2 3

 4

--22-- (of set 23456)

6   3

2 5

 4

--23-- (of set 23456)

6   5

3 4

 2

--24-- (of set 23456)

6   4

3 5

 2

--1-- (of set 34567)

3   5

6 4

 7

--2-- (of set 34567)

3   4

6 5

 7

--3-- (of set 34567)

3   6

7 4

 5

--4-- (of set 34567)

3   4

7 6

 5

--5-- (of set 34567)

4   6

5 3

 7

--6-- (of set 34567)

4   3

5 6

 7

--7-- (of set 34567)

4   7

6 3

 5

--8-- (of set 34567)

4   3

6 7

 5

--9-- (of set 34567)

4   6

7 5

 3

--10-- (of set 34567)

4   5

7 6

 3

--11-- (of set 34567)

5   6

4 3

 7

--12-- (of set 34567)

5   3

4 6

 7

--13-- (of set 34567)

5   7

6 4

 3

--14-- (of set 34567)

5   4

6 7

 3

--15-- (of set 34567)

6   5

3 4

 7

--16-- (of set 34567)

6   4

3 5

 7

--17-- (of set 34567)

6   7

4 3

 5

--18-- (of set 34567)

6   3

4 7

 5

--19-- (of set 34567)

6   7

5 4

 3

--20-- (of set 34567)

6   4

5 7

 3

--21-- (of set 34567)

7   6

3 4

 5

--22-- (of set 34567)

7   4

3 6

 5

--23-- (of set 34567)

7   6

4 5

 3

--24-- (of set 34567)

7   5

4 6

 3

Step-by-step explanation:

This javascript code is extremely brute-force, but it does the job:

function checkIfInSet(i, set) {

   return i.toString().split('').sort().join('') === set;

}

function checkIfMagic(s) {

   return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))

}

function printMagic(s) {

   console.log(`${s[0]}   ${s[4]}`);

   console.log(` ${s[1]} ${s[3]}`);

   console.log(`  ${s[2]}\n`);

}

function checkSet(set) {

   let counter = 1;

   for(let i=1; i<99999; i++) {

       if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {

           console.log(`--${counter++}-- (of set ${set})`);

           printMagic(i.toString());

       }

   }

}

checkSet('23456');

checkSet('34567');

Answer:

17C5+11C5

Step-by-step explanation:

Well there are 17 and chooses 5 that's 17C5

there are 11 men abd chooses 5 that's 11C5

so add them up

17C5+11C5

The combination helps us to know the number of ways an object can be selected without a particular manner. The number of ways in which 5 men and 5 women can be selected is 2,858,856.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be selected without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that from a group of 17 women and 11 men, a researcher wants to randomly select 5 women and 5 men for a study.

Now, the number of ways for selection can be written as,

Number of ways in which men can be selected = ¹¹C₅ = 462

Number of ways in which women can be selected = ¹⁷C₅ = 6188

Further, the number of ways for selection can be written as,

Number of ways = Number of ways in which men can be selected × Number of ways in which women can be selected

Number of ways = 462 × 6188

Number of ways = 2,858,856

Hence, the number of ways in which 5 men and 5 women can be selected is 2,858,856.

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Answer:

-10.

Step-by-step explanation:

f(x) = 2x, x = -5.

f(-5) = 2(-5)

= 2 * (-1) * 5

= 10 * (-1)

= -10.

Hope this helps!

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by

[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

So the distance between (-4,4) and (1,0) is

We have the final answer as

Hope this helps you

Answer:

3rd option is correct

Step-by-step explanation:

If the table represents a function, that means that it is proportional. But the value increases and decreases, showing no proportional relationship.

So, the answer could be 1st or 3rd as they tell that the table doesn't represent a function.

1st answer says the table doesn't represent a function because the 2 (y-values) are similar;

Their x-values are different so, this answer is wrong.

3rd answer says that the table doesn't represent a function x-value increases, while y-value increases and decreases;

The statement is correct because it this table doesn't represent a proportional relationship as its y-values are increasing and decreasing while its x-values are only increasing.

So, the 3rd option is correct.

Answer:

This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

Answer:I'm pretty sure it's independent

Answer:

-6xy - 16x -24y -64

Step-by-step explanation:

(2x+8)(-3y-8) =

To find the answer,

First multiply, the first number on both sides,

2x * -3y = -6xy

Then the first number on the left side and the second number on the right side,

2x * -8 = -16x

Then the second number on the left side and the first number on the right side,

8 * -3y = -24y

Then the second number on the left side and the second number on the right side,

8 * -8 = -64

Now add all the answers,

-6xy -16x -24y -64

Answer:

-6xy-16x-24y-64

Step-by-step explanation:

(2x+8)(-3y-8)​

Foil

First 2x*-3y = -6xy

outer -8*2x = -16x

inner -3y *8 = -24y

last -8*8 = -64

Add them together

-6xy-16x-24y-64

Answer:

Quaterly

Step-by-step explanation: