a gardener bought 5 geraniums and 3 lilies from a nursery that had 14 geraniums and 12 lilies. determine how many choices the gardener has

Answers

Answer 1

The number of choices the gardener has is 440440

What is a combination?

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

The formula for combination is [tex]^nC_r[/tex] = n! / r!(n - r)1

We have,

Number of geranium = 14

Number of lilies = 12

Number of geranium bought = 5

Number of lilies bought = 3

The number of choices.

= [tex]^{14}C_5 \times ^{12}C_3[/tex]

= (14 x 13 x 12 x 11 x 10)/(5 x 4 x 3 x 2) x (12 x 11 x 10)/(3 x 2)

= 14 x 13 x 11 x 2 x 11 x 10

= 440440

Thus,

The number of choices is 440440.

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Related Questions

sara compares to phone plans. plan A charges $99 for the phone plus $25 per month. plan B charges $39 for a phone and a $35 per month. at what month will the plans cost the same?

Answers

Answer: 6th month

Step-by-step explanation:

Let the month where the plans cost the same be represented by x.

Plan A charges $99 for the phone plus $25 per month. This can be written as:

= 99 + 25x

Plan B charges $39 for a phone and a $35 per month. This can be written as:

= 39 + 35x

We then equate both equations and this will be:

99 + 25x = 39 + 35x

Collect like terms

99 - 39 = 35x - 25x

60 = 10x

x = 60/10

x = 6

The plan will cost the same in the 6th month.

The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the measure of the other acute angle. What is the area of the triangle? Round your answer to the nearest square inch. (Note: The area of a triangle is 1/2bh, where the base and the height of the triangle are perpendicular).

Answers

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

hello please help i’ll give brainliest

Answers

Answer:

The answer is C

Will mark brainliest if get the correct answer.

Answers

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h([tex]b_{1} + b_{2}[/tex])/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

A hot tub has 58 inches of water (w) when it is full. The tub
drains at a rate of 7 inches per minute (m): w = 58 – 7m
After you open the drain, how many minutes will it take for the
hot tub to have 23 inches of water remaining?

Answers

Answer:

58_7

51

then

in 23×7 minutes )

= 161 minutes.

Can someone please help me with this question?

Answers

Answer:

AE = 9 units

Step-by-step explanation:

Based on the centroid theorem:

AX = ⅔ of AE

Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:

6 = ⅔ of AE

6 = ⅔(AE)

Multiply both sides by 3

6*3 = ⅔(AE)*3

18 = 2(AE)

Divide both sides by 2

18/2 = AE

9 = AE

AE = 9 units

Seamus has 9feet of fabric if his brother has one foot more than Seamus how many inches of fabric does Seamus brother have?

Answers

Answer: Seamus’s brother has 120 inches.

The triangle below has an area of 54 ft squared and a 9 ft base. What is the height of the triangle?

Answers

Answer:

height of triangle= 12

Step-by-step explanation:

A= 1/2bh

54=1/2(9)h

54= 4.5h

54/4.5= 4.5/4.5

h= 12

1. 12x^2-8x

2. x^2+5x-36

3. 3x^2+10x+8

Please show how to solve these problems, thanks.​

Answers

1. 4(3x-2)•x
2. (X-4)(x+9)
3. (3x+4)(x+2)
I hope this helps!

Answer:

1. 12x^2-8x

taking common 4x

4x(x-2)

2. x^2+5x-36

doing middle term factorization

x²+9x-4x-36

x(x+9)-4(x+9)

(x+9)(x-4)

3. 3x^2+10x+8

Doing middle term factorization

3x²+6x+4x+8

3x(x+2)+4(x+2)

(x+2)(3x+4)

Write any three rational number between -3 and 0

Answers

Answer:

negative square root of 2

negative square root of 3

negative square root of 5

Step-by-step explanation:

:)

1. Which expression is equal to 815-97?
A. 815-(-97)
B. 815+97
C. 815+(-97)
D. 97-815

Answers

Answer:

the answer is C.815+(-97)

Step-by-step explanation:

Marty says he would rather have --$5 than $0 do you agree with Marty?

Answers

Answer:

No becasue -5 is more than positive 0

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.

Step-by-step explanation:

Plz help ASAP, I will mark brainlest if correct.

Answers

Answer:

[tex]5x+6y=12[/tex]  I will do y and x slope-intercept form

Answer: [tex]y=-\frac{5}{6} x+2[/tex]

[tex]-3x-2y=4[/tex] I will do the same method

Answer: [tex]y=-\frac{3}{2}x-2[/tex]

Step-by-step planation:

How I got my answer I took 5x and put it on the right side and I changed the sign which looks like [tex]6y=12-5x[/tex] then I would divide the equation by 6 which looks [tex]y=2-\frac{5}{6} x[/tex] Then I use commutative property and reorder the terms

[tex]y=-\frac{5}{6}x+2[/tex] and that is the answer.

I put the -3x and on the right side and make it [tex]-2y=4+3x[/tex] then I changed both signs of the equation which is the -2y [tex]2y=-4-3x[/tex] then I divided both sides of the equation by 2 [tex]y=-2-\frac{3}{2}x[/tex] and use the commutative property and reorder the terms [tex]y=-\frac{3}{2}x-2[/tex] which is the answer.

What is the measure of \angle A in the triangle above?

Answers

Answer:

m<A = 62

Step-by-step explanation:

180 - 116 = 64

3x - 13 + 2x + 4 + 64 = 180

5x + 55 = 180

5x = 125

x = 25

<A:

3x - 13

3(25) - 13

75 - 13

62

PLEASE HELP PLEASE ASAP​

Answers

Answer:

0, 7, -10

Step-by-step explanation:

0, -7, 7, -10, -9, -10, 7, 0, 4

Two 0

one -7

Two 7

Two -10

one 4

0, 7, and -10 are the only ones to appear the most


Write the number 4.9 x 10^-5 in standard form

Answers

4.9 x 10^-5 is in standard form

In Scientific Notation its 0.000049

Which statement is correct

Answers

Answer:

I think its a

Step-by-step explanation:

because 1/5 as a decimal is 0.2 and 0.3 is great then 0.2

I think the answer is a

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Latanya sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
58 visitors purchased no costume.
156 visitors purchased exactly one costume.
23 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.

Answers

Answer:

52/79

Step-by-step explanation:

One costume = 156 (This is our numerator.)

All visitors = 156 + 58 + 23 = 237 (This is our denominator.)

156/237

Find the GCF to simplify (sneak peek it's 3)

156/3 = 52

237/3 = 79

52/79 (tada!)

Answer: 0.41

Step-by-step explanation:

Given f(x)=x^3 and g(x) = 1 - 5x², find (f o g) (x) and its domain.

Answers

Answer:

domain: {x|x∈R}

fog= (1-5x^2)^3= 1-15x^2+75x^4-125x^6

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

please help!! will mark brainliest!!

Answers

First blank: 230

Second blank: 200.6

Third blank: 113.4

The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

P is the center, angle LPJ=130degree

Now,

To find the approximate values, we can use 3.14 for π and round to the nearest tenth:

Area of shaded sector = (13π/36) × P^2

≈ (13 × 3.14/36) × P^2

≈ 1.13 × P^2

Area of unshaded sector = (23π/36) × P^2

≈ (23 × 3.14/36) × P^2

≈ 1.99 × P^2

Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.

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What is the area of this? please help me ! screen shot of assignment attached

Answers

Answer:

12

Step-by-step explanation:

(2 + 2 + 2 + 6) × 2 ÷ 2 = 12

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

Volume :-

= 1/3 × 3.14 × 9 × 4

= 37.68 m^3

l = √9 + 16

= √25

= 5 cm

Surface Area

= 3.14 × 3 × 5

= 47.1 cm^2

Hope this helps you

Please mark as brainiest

Answer:

33.49

Step-by-step explanation:

the formula for finding the volume of a sphere is 4/3 * pi(3.14) * r^3. the diameter is 4 so half that to get the radius (2). 2^3 = 12. 12 * 3.14 * 4/3 = 33.49

HELP HELP ASAP ASAP WILL MARK BRAINLIEST

PLEASE EASY POINTS

Answers

the answer should be 8ft

Work out 8 divided by 2/3

Answers

Answer:

Hi! The answer to your question is 12

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

Given

[tex] \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12[/tex]

Hope it will help :)❤

Which term describes RT?

Answers

Answer:

D. perpendicular bisesecor

Step-by-step explanation:

what is 38% of 32.

pls help in the middle of testing ​

Answers

Answer:

12.16

Step-by-step explanation:

1:Reduce the fraction 100 38 ​ to lowest terms by extracting and canceling out

2:Express 50/19 ​ ×32 as a single fraction.

3:Multiply 19 and 32 to get 608.

4:Reduce the fraction 608/50 ​ to lowest terms by extracting and canceling out 2.

5:304/25=(12.16).

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

Work out each of the following:
1) −5 − +23=
2) −16 + −15=
3) 40 − −40=
4) −18 − −27=
5) −52 + 90=
HELPPP PLEEEAAAASSSSEEEE!!!! :(
I need those answers before 09:30 pleeeaaaaassssseeee

Answers

I recommend you download photo math sorry I didn’t get to this quicker

Find the area of trapezoids

Answers

Answer:

Area is 10.5

Step-by-step explanation:

We can use the trapezoid formula of

[tex]A = \frac{a+b}{2}h[/tex]

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

i dont get this at all pls help

Answers

Answer:

its B i think

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