Solve + 17 = 20 for x and plot its value on the number line given below.

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

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

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

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Answer:

Amanda's box holds more popcorn.

Amanda's box holds 70 m³ more than Mary's.

Step-by-step explanation:

Find the volume of both boxes.

13.5 x 10 x 10 = 1350.

20 x 8 x 8 = 1280.

As clearly shown, Amanda's box holds more popcorn.

To find how much more, subtract 1,280 from 1,350 to get 70 m³.

Hope this helps!

If there is something wrong, please let me know.

The lengths of the new triangle after dilation are; J'K' = 3; K'L' = 5.25 and L'J' = 6

When it comes to dilation in transformations, it could mean enlarging or reducing the triangle by a scale factor.

Now, we are given the lengths of the original triangle as;

JK = 6 units

KL = 10.5 units

LJ = 12 units

Thus, the dilation by a scale factor of 1/2 indicates a reduction. Thus, the new lengths after dilation are;

J'K' = (1/2) * 6 = 3

K'L' = (1/2) * 10.5 = 5.25

L'J' = (1/2) * 12 = 6

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Answer:

Explanation is as follows;

Step-by-step explanation:

Fundamentals to Plant and Animal Preservation

Plants and animals are the foundation of life on Earth; it is critical to protect them from extinction by maintaining a healthy population that contributes to global biodiversity, or the variety of flora and wildlife.

Everyone in the area must actively participate in planting additional trees and preventing countless trees from being chopped down. Deforestation is the practise of chopping down trees and making a forestland barren and unsuitable for animals and birds to live in.

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

Answer:

              /   -  -  - - - - - - -- - -  -

            /                                     \

        /                                           \

      /                                                \  _________

   /

_/

Answer:

5 1/10 million dollars

Step-by-step explanation:

25and 1/2 million dollars = 25 1/2 million dollars

= (25*2) + 1 / 2

= 50+1/2

= 51/2

Total prize = 51/2 million dollars

Number of people with winning ticket = 5

How many millions of dollars does each person get?

Amount of prize each person get = Total prize / Number of people with winning ticket

= 51 / 2 ÷ 5

= 51/2 × 1/5

= (51 * 1) / (2 * 5)

= 51/10

= 5 1/10 million dollars

Amount of prize each person get = 5 1/10 million dollars

There are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple using a combination formula.

The question can be solved using  a method called "stars and bars".

Now, we need to find the number of ways to arrange 12 stars and 3 bars. The number of ways to arrange 12 stars and 3 bars in the given formula:

Number of ways = (n + k - 1) choose (k - 1)

Where n is the total number of objects = 12

k is the number of groups =  3

Number of ways = (12 + 3 - 1) choose (3 - 1)

Number of ways = 14 choose 2

The combination formula can be used as:

Number of ways = {14!}{(2! [tex]\times[/tex] (14 - 2)!)}

Number of ways = 14! / (2! * 12!)

Number of ways = (14 * 13) / 2

Number of ways = 91

So, there are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple.

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Answer:

x=2*sqrt(2)

Step-by-step explanation:

cos(theta)=Base/Hypotenuse

cos(45)=x/4

x=2*sqrt(2)

Answer:

C

Step-by-step explanation:

You can distribute the values or even plug in x=2 and see which one matches.

Answer: what is the rest of the question?

Step-by-step explanation:

Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{28}{c}[/tex]

c = [tex]\frac{28}{\text{sin}(47^{\circ})}[/tex]

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{b}{c}[/tex]

             = [tex]\frac{b}{38.3}[/tex]

b = 38.3[cos(47°)]

b = 26.1

Answer:

do you have a pic of it but i think its 15.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

C

Step-by-step explanation:

We are given that

[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.

Therefore,

[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]

Therefore, angle DCB and angle CDA are interior angles .

Because CA is a transversal line and sum of interior angles is 180 degrees.

When the sum of interior angles formed between two lines  and on same side of transversal line is 180  degrees. Then the lines are parallel.

Therefore, angle DCB and angle CDA are formed between line AD and BC.

Hence, AD is parallel to BC.

Option C is correct.

Answer:

c

Step-by-step explanation:

i had the same question

y approaches 5.

As x approaches infinity, -4^(-x) approaches 0.

0 + 5 = 5

Answer:

g = 1, 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g² - 4g = -3

Step 2: Solve for g

Answer:

Graph:

Solution: (1, 1)

Check:

y = -3x +4

1 = -3 +4

1 = 1

y = 3x -2

1 = 3 -2

1 = 1

Answer:

I know the answer...

Step-by-step explanation:

but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks

Answer:

11/12 miles Lyon walk.

Step-by-step explanation:

3/4 -> 9/12

1/6 -> 2/12

9 + 2 = 11

The solution is :about  11/12 miles Lyon walk.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Lyon walked 3/4 mile from school to the soccer field.

He then walked 1/6 mile home.

now, we have to find that,

About how many miles did Lyon walk

so, we need to add the both distance

i.e.  3/4 + 1/6

so, we have,

3/4 -> 9/12

1/6 -> 2/12

so, we get,

9 + 2 = 11

i.e. 3/4 + 1/6

= 9/12 + 2/12

=11/12

Hence, about  11/12 miles Lyon walk.

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the answer is in the picture

Answer:

1372/3 π

that's the volume

Answer:

[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]

I hope that is useful for you :)

Answer:

This would not be 20

Step-by-step explanation:

This question can be thought as a Pythagoras question.

By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)

I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?

Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]

We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown

Answer: 289,952,278

Step-by-step explanation: Big brain

Answer:

2a times the sq root of 2a or 2a (2a)**1/2

Step-by-step explanation:

(8a**3)**1/2 =

((2**2 * 2) (a**2) (a))**1/2 then take out and squares

2a (2a)**1/2

or 2a times the sq root of 2a

Answer:

2(x - 3)^2 - 25.

Step-by-step explanation:

2x^2-12x-7

= 2(x^2 - 6x) - 7

= 2[(x - 3)^2 - 9] - 7

= 2(x - 3)^2 - 18 - 7

= 2(x - 3)^2 - 25.

Answer:

A, E, F

Step-by-step explanation:

From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:

PR = 1/2 PQ which is just 2 PR = PQ(E)

PR √3 = QR (A)

We can substitute in PR from the first equation to the second to get:

√3/2 PQ = QR(F)

9514 1404 393

Answer:

  C.  f^-1(x) = (x +4)^2; x  ≥ -4

Step-by-step explanation:

The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.

We find the inverse function by solving ...

  x = f(y)

  x = √y -4

  x +4 = √y

  (x +4)^2 = y

The inverse function is ...

  f^-1(x) = (x +4)^2 . . . for x ≥ -4