I have a bag with 6 marbles numbered from 1 to 6. mathew has a bag with 12 marbles numbered from 1 to 12. matthew chooses one marble from his bag and i choose two from mine. in how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles equals the number on his?

Answers

Answer 1

Answer:

It would be 30.

Step-by-step explanation:

If we make a list of all the sums that we can get, we have:

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.

That gets us to 15x2 which is 30.

Answer 2

The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

I have a bag with 6 marbles numbered from 1 to 6.

Mathew has a bag with 12 marbles numbered from 1 to 12.

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways,

Since order matters, and we could do 2+1 instead of 1+2.

15 x 2 which is 30.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1


Related Questions

HELP MEE ,20 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r

Answers

Celina says true that each of the following expressions is actually a binomial expression.

What is binomial?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a.  5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b.  5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c.  (t+2)² - 4t = t² + 4

The is a binomial expression.

d.  5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e.  (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

More about the binomial expansion link is given below.

https://brainly.com/question/12249986

#SPJ1

When graphing f(x)=a sin(bx) you would determine the functions period using which of the following?

A. The period is 2pi/b

B. The period is a

C. The period is pi/b

Answers

Answer:  A. The period is 2pi/b

Explanation:

The value of 'a' out front in y = a sin(bx) determines the amplitude.

The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.

For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3

For tangent and cotangent functions, the period would be pi/b.

Anyone know the answer

Answers

Step-by-step explanation:

-2g(1+g)

-2g - 2g²

(-2)g - (2)g²

I NEED HELP ASAPPPPPP
Its height (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=−(t−12)2+81

. Which of the following statements is true?

The airplane reaches its minimum height of 12 feet in 81 seconds.
The airplane reaches its maximum height of 81 feet in 12 seconds.
The airplane reaches its minimum height of 81 feet in 12 seconds.

The airplane reaches its maximum height of 12 feet in 81 seconds.

Answers

Considering the given quadratic equation, the correct statement is given by:

The airplane reaches its maximum height of 81 feet in 12 seconds.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the equation is given by:

h(t) = -(t - 12)² - 81.

The vertex is (12,81), with a negative leading coefficient, hence it is a maximum point and the correct statement is given by:

The airplane reaches its maximum height of 81 feet in 12 seconds.

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction

Answers

Answer:

1/3

Step-by-step explanation:

[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

A group of students from your school is part of the audience for a TV game show. The total number of people in the audience is . What is the theoretical probability of students from your school being selected as contestants out of possible contestant​ spots?

Answers

A group of students from your school is part of the audience for a TV game show, the theoretical probability of students is mathematically given as  

P=2.7%

What is the theoretical probability of students from your school being selected as contestants out of possible contestant​ spots?

Generally, the equation for Probability  is mathematically given as

[tex]P=\frac{Desired outcomes}{Total outcomes}[/tex]

Where Desired outcomes

D=40C5 *110C3

D=1420112865560

And Total outcomes

T=150C8 *

T=5.2572*10^10{12}

Hence, Probability  

[tex]P=1420112865560/ 5.2572*10^10{12}[/tex]

P=0.0270

P=2.7%

In conclusion, the theoretical probability

P=2.7%

Read more about probability

https://brainly.com/question/11234923

#SPJ1

[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])

n= -3
p=5

need urgent help

Answers

Answer:

-16.

Step-by-step explanation:

2/3 * (-3) * (4*5 + 6 - 2(-3)^2)

= -2(20 + 6 - 18)

= -2 * 8

= -16.

which unit of measure would be appropriate for the area of a bulletin board that is 2 meters tall and 6 meters wide

Answers

Answer:The entire area would be 12 square meters.

Step-by-step explanation:

2 x 6 square meters =  12 square meters. which is the entire area.

what is the answer to −1.4+(−1.2)

Answers

Answer:

-2.6

Step-by-step explanation:

-1.4+(-1.2)

-1.4-1.2=-2.6

Hope this helps!

If not, I am sorry.

8. Resuelve los siguientes problemas:
a) Cinco trabajadores de una empresa reci-
ben salarios de $1 200, $1 500, $1 600,
$1 300 y $2 500. ¿Cuál es el promedio
salarial?

Answers

see the attachment photo!

Other Questions
Select the correct texts in the passage.Which two lines best reflect how the setting influences Inges daily life?The wall was just a few feet from the home Inge shared with her parents. Aside from her school and other crumbling buildings in their neighborhood, their world was a few rooms in a dull, gray concrete flat with no yard and no trees. The wall was part of the view from the only windows they had, and Inge was drawn to the sounds she often heard from the other sidelaughter, shouting, music, and the noise of busy traffic.One day, as she explored the wall imagining what the sounds meant, she came upon a hole. Her heart thumped wildly as she leaned toward it. Through the hole, Inge caught a glimpse of a whole new world. It was a world of colorreds, blues, and yellows in the dresses of women strolling down the street, the colors of the shirts and ties the men wore, the colors of the ribbons in the little girls' braids. It was a world of people who did not begin and end each day in shades of gray. It was alive and brimming with activity, with living. Inge leaned, transfixed by the view, for hours until she began to feel the strain in her back and leg muscles. Then, pulling herself away, she headed home, knowing she would return again and again.One fall day in 1990, as Inge headed for her favorite spot in the wall, she noticed that the towers from which the guards viewed her neighborhood were empty. And she noticed something else: she was not alone. Others, mostly young men with a mix of other people, some of whom she recognized were at already at the wall or moving toward it. Select all that apply Strike-slip zones ______. Multiple select question. may lie totally within a tectonic plate are created due to rising magma can separate two plates (either being continental or oceanic) only form at continental crust boundaries may create large shear zones Kim is a 5'1 " sophomore weighing 135 pounds . In order to lose one pound per week , how many calories does Kim need to eliminate from her daily consumption ?5001,0001,4702,000 I need help pleaseA family purchases a light sphere to be used out on their patio. The diameter of the sphere is 20 in.What is the volume of the light sphere?Use 3.14 for pi.Enter your answer, as a decimal, and round only your final answer to the nearest hundredth.I have seen two different answers with 5 stars so I am confused on which person solved it correctly What trait is recessive in the picture Question 7(Multiple Choice Worth 1 points)(02.05 LC)Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5. 4 5 4 5 Why is this discovery important to evolutionary biologists? which of the following was not an important reason that europeans colonized africa? a. europeans believed they were superior and it was duty to civilize the african continent b. europeans nations wanted to show their powers by increasing the amount of territory they controlled. c. europeans wanted to spread muslim beliefs throughout the continent of africa d. europeans nations wanted to profit from the vast natural resources in africa The weight, w, that a horizontal beam can support varies inversely as the length, l, of the beam. a beam measuring 5 meters in length can support 430 kilograms. how much weight can a beam measuring 2 meters support? A class of 30 students plans to collect at least $500 in donations for a rehabilitation camp. They have collected $270. How much more should each student collect? The government needs to provide public goods for what reason?A. They are necessary for raising the standard of living.B. The government can reduce taxes by profiting from public goods.C. Private companies cannot profit by providing them.D. Citizens demand government regulation to protect their freedom.SUBMIT Which volcanic mountain is located in the center of alborz? Difference between compensatory and punitive damages. Dana receives the writing prompt below.Write an informative essay about the first woman in Greek mythology, Pandora. Summarize her myth and explain the impact of her story on todays culture.Danas first research question is What events occurred in the myth of Pandora? What should her second research question be, and what would be the most credible source for research?Dana should ask, What are some modern examples of Pandoras influence? using an encyclopedia entry for research. Dana should ask, What are some modern examples of Pandoras influence? using a blog for research.Dana should ask, What was the effect of Pandoras box upon Greek culture? using an encyclopedia entry for research.Dana should ask, What was the effect of Pandoras box upon Greek culture? using a blog for research. Choose the best answer. Which of the following grows on a tree?el cerdoel pollola fresala cereza PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus What is the scale factor for XYZ TO UVW? please help me im just really slow ( PLEASE HELP WILL MARK BRAINLIEST PLEZ ) Calculate the area of a triangle with a base of 6 cm and a height of 12 cm. Draw and label the triangle. A nurse is collecting a specimen for an aerobic culture from a client who has draining pressure injury. identify the sequence of actions the nurse should take