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

Figure FGHJ is shown below.
Figure F G H J has 4 sides. Sides F J and G H are congruent and parallel, and sides G F and H J are congruent and parallel. Angles G and J are 130 degrees.

Which names accurately describe figure FGHJ? Select two options.
parallelogram
quadrilateral
rectangle
rhombus
trapezoid

Answers

The correct answer is a parallelogram which has both pairs of opposite sides parallel to one another.

what are the exact values for x and y

Answers

Answer:

see the attachment photo!

6x1 + 9 x 1/10 + 8 x 1/100 + 3 x 1/1000=?

Answers

Answer:

6983/1000 OR 6.983

Step-by-step explanation:

6*1=6

9*1/10=9/10

8*1/100=8/100

3*1/1000=3/1000

6+9/10+8/100+3/1000=6983/1000

OR

6.983

5² + 12² =
64a3³
Work out the value of a.
Your final line should say, a =

Answers

Answer:

a = 13/4

Step-by-step explanation:

√(5²+12²) = ∛(64a³)

√(25+144)=√(64a)

√169 = √(64a)

13 = 4a

a = 13/4

What is the solution of 5sin2θ=3 for 0≤θ≤2π? Please help.

Answers

Answer:

C) [tex]\theta\approx\{0.3218,1.249,3.463,4.3908\}[/tex]

Step-by-step explanation:

[tex]5\sin2\theta=3;\: 0\leq\theta\leq 2\pi\\\\\sin2\theta=\frac{3}{5}\\ \\2\theta\approx\{0.6436,2.498,6.926,8.7816\}\\\\\theta\approx\{0.3218,1.249,3.463,4.3908\}[/tex]

What is the value of x log3x equals 4

Answers

[tex]~~~~\log_3 (x) = 4\\\\\implies x= 3^4 \\\\\implies x= 81[/tex]

PLS I NEED 100% TO GET A GOOD MATH GRADE THIS YEAR
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:

At least how many schools have participated for 1 year or less? (5 points)



6 schools


8 schools


12 schools


14 schools

Answers

Answer:

6 schools

Step-by-step explanation:

I did the same assignment

If x and y are complementary angles, then y is a right angle.

right?

Answers

Answer: No

Step-by-Step Explanation:

Complementary angles are a set of angles that sum up to 90 degrees. Neither y nor x can be 90 since if it is, then the other angle would have to be 0 degrees which is not possible in a triangle.

30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.
State the coordinates of the vertex.

Answers

Answer:

x² - 14x - 15 =  (x − 7)² − 64Then the coordinates of the vertex are (7 , -64)

Step-by-step explanation:

x² - 14x - 15 = x² - 14x + (49 - 49) - 15

                  = (x² - 14x + 49) - 49 - 15

                  =  (x² - 14x + 7²) - 49 - 15

                  =  (x − 7)² − (49 + 15)

                  =  (x − 7)² − 64

x² - 14x - 15 =  (x − 7)² − 64

Then the coordinates of the vertex are (7 , -64)

Explain the difference between 2(7x-4) and (7x-4)^2

Answers

2(7x-4) is the equation being multiplied by two and (7x-4)^2 is the equation being multiplied by itself twice

Answer:

2(7x-4) = 7x(2)-4(2) = 14x-8

but

(7x-4)^2 = (7x-4) (7x-4)

A large bin of Peanut M&M's contains red, yellow, blue, and brown M&M's. Lexi
scoops out a bowl full of M&M's and counts how many of each type she has: 12 red,
7 yellow, 14 blue, and 9 brown.
Luke scoops out a bowl of 36 Peanut M&M's. About how many should he expect to
be blue?

Answers

Answer:

About 12 blue m&m’s

Step-by-step explanation:

What is the quotient if -3/8 and -1/3

Answers

[tex]\left(- \dfrac 38 \right) \div \left(-\dfrac 13 \right)\\\\\\=-\dfrac 38 \times (-3)\\\\\\=\dfrac 98[/tex]

PLS HELP
Which shows the following expression after the negative exponents have been eliminated?

Answers

Answer:

Option 2

Step-by-step explanation:

Given :

[tex]\frac{xy^{-6} }{x^{-4}y^{2} }[/tex]

=============================================================

Applied Rule :

[tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]

============================================================

Solving :

⇒ To remove negative exponents, bring to the opposite side (e.g. if in the denominator, bring to the numerator)

⇒ [tex]\frac{x(x^{4}) }{y^{2}(y^{6}) }[/tex]

help i will give 20 thax

Answers

Ty's brother will get 3/4th part of the pizza.

What is Division ?

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Here, Total number of Pizza = 1

         Number of parts required = 4

Now, each member will get the part of pizza = 1/4

Total number of brothers = 3

Ty's brother will get pizza = 3 X 1/4

                                           = 3/4

Thus, Ty's brother will get 3/4th part of the pizza.

Learn more about Division from:

https://brainly.com/question/21416852

#SPJ1

Answer:

3/4

Step-by-step explanation:

because there are 4 people so ty get 1/4 and his brothers get the rest.

What is the measure of major B 84° O 276° O252° O 84° O 168 arc AB? A​

Answers

Answer:

A - 84°

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle that intersects it.

The central angle of this circle measures 84° and it intercepts arc AB, meaning arc AB measures 84°

Find the volume of the following figure.

6 cm3
7 cm3
8 cm3
5 cm3

Answers

Answer:

7 cm³

Step-by-step explanation:

Assume each cube has an edge 1 cm in length.

Each cube has volume 1 cm³.

There are 7 cubes.

volume = 7 cm³

Find the general solution of the given differential equation. Cos(x) dy dx (sin(x))y = 1

Answers

The general solution to the differential equation is y = sinx + c cosx.

What is differential equation?

It is defined as the equation which contains functions, derivative of the functions to make an expression.

We have a differential equation:

[tex]\rm cosx\left(\dfrac{dy}{dx}\right)+\left(sinx\right)y\:=\:1[/tex]

Multiply by dx:

(cosx) dy + (sinx) y dx = dx

(cosx) dy = (1 - (sinx) y) dx

After simplification and integrating, we will get:

[tex]\rm y = \dfrac{tan x}{sec x}+ \dfrac{c}{secx}[/tex]

y = sinx + c cosx

Thus, the general solution to the differential equation is y = sinx + c cosx.

Learn more about the differential equation here:

https://brainly.com/question/14620493

#SPJ4

Multiply the following
(a) 2.7x4
(b) 0.79x32.4
(c)1.07 x 0.02
(d) 2.3x4.35
(e) 2.5x100
(f) 0.0008x100
g) 0.25x 10000
h)3x0.55
i)0.08x5
j)351.06x4
k)0.3x0.03
l) 21.7x0.1
m) 200.02 x 2.2

Kindly look into this and try to answer all of them this contains 30 points

Answers

Answers:

a) 10.8
b) 25.596
c) 0.0214
d) 10.005
e) 250
f) 0.08
g) 2500
h) 1.65
i) 0.4
j) 1404.24
k) 0.009
l) 2.17
m) 440.044

Note: I haven’t provided the steps since this is basic multiplication of decimal numbers. However, if you do need help please comment below this answer.

#KeepStudying

5600 to the nearest 1000​

Answers

Answer:

6000.

Step-by-step explanation:

Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.

A bottle contains 1 2/5 litres of orange squash. To make one drink, 1/200 of a litre of squah is needed. How many drinks can be made from the bottle of squash?

Answers

Answer:

280 drinks

Step-by-step explanation:

Capacity of bottle [tex]=1\frac{2}{5}=\frac{7}{5}\: l[/tex]

Squash needed to make one drink [tex]=\frac{1}{200}\:l[/tex]

Total number of drinks [tex]=\frac{7}{5}\div\frac{1}{200}[/tex]

[tex]=\frac{7}{5}*200[/tex]

[tex]=7*40[/tex]

[tex]=280[/tex]

Answer:

280 drinks. We need to divide 1 2/5 by 1/200 in order to get this answer.

                                                     

For every 36 minutes of sprinting, Scarlett earned 12 dollars for charity. To find the unit rate of this, I would first need to structure the equation. In this case, I would use division, so my equation would be 36 ÷ 12 = 3. The final answer would be, for every 3 minutes, Scarlett earns $1. is this right? i will give 15 points:)

Answers

Answer:

$1 every 3 minutes

Step-by-step explanation:

Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.

What is the y intercept of this quadratic? (Picture)

Answers

Answer:

We know that the y intercept is -3 because that is where it intersects! The point for the y intercept is (0, -3)

Step-by-step explanation:

This is the coordinates of the point wher the graph cuts the y axis It is (0,-3)

Find the percent of the number. 30% of 90 is =

Answers

Answer:

27

Step-by-step explanation:

30% of 90 is 27

30/100 = ?/90

by cross multiplying, we can see that 30 times 90 is equal to 2700.

2700/100 = 27

? = 27

PLEASE GIVE BRAINLIEST!

Hope this helps :)

Please help me with this!

Answers

Answer:

sin(4)

Step-by-step explanation:

sin(-184) is the equivalent to sin(4) (degree), positive and acute angle.

I need help! 50 points!

Answers

The equation of this sinusoidal function is either

f(x) = a sin(bx) + c

or

f(x) = a cos(bx) + c

Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.

If the period is π/2, then

2π/b = π/2   ⇒   b = 4

If the maximum value is 10 and the minimum value is -4, then

-4 ≤ a sin(4x) + c ≤ 10

-4 - c ≤ a sin(4x) ≤ 10 - c

-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a

Recall that sin(x) is bounded between -1 and 1. So we must have

-(4 + c)/a = -1   ⇒   a = c + 4

(10 - c)/a = 1   ⇒   a = -c + 10

Combining these equations and eliminating either variable gives

a + a = (c + 4) + (-c + 10)   ⇒   2a = 14   ⇒   a = 7

a - a = (c + 4) - (-c + 10)   ⇒   0 = 2c - 6   ⇒   c = 3

Finally, we have either

f(x) = a sin(bx) + c   ⇒   f(0) = c = 3

or

f(x) = a cos(bx) + c   ⇒   f(0) = a + c = 3

but the cosine case is impossible since a = 7.  

So, the given function has equation

f(x) = 7 sin(4x) + 3

A random number generator is used to create a list of 200 single-digit numbers. of those 200 numbers, 105 are even and ninety-five are odd. seven was generated fifteen times. what is the experimental probability of an odd number other than seven being generated? 40.0% 45.0% 47.5% 52.5%

Answers

Using it's concept, it is found that the probability of an odd number other than seven being generated is of 40.0%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 200 numbers have been generated, and 80 are odd numbers that are not seven, hence the probability is given by:

p = 80/200 = 0.4 = 40%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ4

Answer:

40

Step-by-step explanation:

given that у=6 cm and θ=15 °, work out x rounded to 1 decimal place.

(the diagram is not drawn to scale.)

Answers

Using a trigonometric realtion, we can see that x = 23.18cm

How to find the value of x?

Here we have a right triangle, we can see that y = 6cm, and the angle theta is 15°.

Notice that y is the opposite cathetus to the known angle, and we want to find the value of x, which is the hypotenuse.

Then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse.

Reaplacing what we know, we will get:

sin(15°) = 6cm/x

Solving that for x:

x = 6cm/sin(15°9

x = 23.18cm

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1


The perimeter of an equilateral triangle is 96 cm. Find the length of the side of the triangle.

Answers

Answer:

Answer : Length(l) = 32 cm

Step-by-step explanation:

Given,

          Perimeter(P)=96 cm

          Length(l)=?

We know that,

                        P      = 3l

                        96    = 3l

                        96÷3 = l

                         32    = l

Therefore, length(l) = 32 cm

How do I graph this linear function
x < -1

Answers

Hope this helps! Let me know if you need anything else.

This is how the linear function looks.

Please help me with this probability question; I’d really appreciate it!

The attendance at a village fair depends on the weather.
The probability of a high attendance at the fair is 0.9.
This is reduced to 0.4 if it is raining.
The probability of it raining is 0.2.
What is the probability of its raining and there being a high attendance?
0.6
0.08
0.36
0.18

Answers

Answer:

B. 0.08

Step-by-step explanation:

In order to solve this problem, we must account for all possibilities. The sum of all posssiblities must sum up to 1.

1 - High Attendance/No Rain

0.9*0.8 = 0.72

2- High Attendance/ Rain

0.4*0.2 = 0.08

3 - Low Attendance/No Rain

0.1*0.8 = 0.08

4 - High Attendance/No Rain

0.6*0.2 = 0.12

Now we answer the question of rain and high attendance.

0.08/1 = 0.08

Other Questions
93/100Natalie needs 3 1/2 cups of flour to make 4 dozen cookies. How many.cups will sheneed to make 2 dozen cookies?7 cups1 cup13/4 cups11/2 cups x + 10x + 3 = -21?!?!!?!?!!!? Which describes the two ways that energy is measured? Every line manager is a HR Manager-explain? What are the vertical and horizontal asymptotes for the function f(x)=3^2/x^-4O horizontal asymptote: y = -2, y = 2vertical asymptote: x = 3O horizontal asymptote: y = -4, y = 1vertical asymptote: x = 3O horizontal asymptote: y = 3vertical asymptote: x=-4, x=1O horizontal asymptote: y = 3vertical asymptote: x= -2, x=23x242?-4 Which property was used to simplify the expression?O distributive propertyO commutative propertyO associative propertyO inverse property4(b+2)=4b+8 Michael Jordan scores the following points over 8 games: 24, 17, 28, 19, 23, 20, 13, 19. What is the mean (average) number of points she scored over those 8 games Did Andrew Jackson believed that American Indians would be happier in their new land. At what height from the surface of earth will the value of 'g' reduced to 64% from the value at the surface? Radius of earth = 6400 Km ________ involves highly trained employees known as Champions, Master Black Belts, Black Belts, and Green Belts. Question 9 of 10Someone who is applying for a loan from a bank can expect the bank to:O A. demand that the person close all of his or her accounts atcompeting banks.B. check the person's credit history to make sure he or she paysdebts on time.C. request proof that the person has graduated from a good college.D. investigate the person's parents to see if they were financiallyresponsible. What is Traditional Authority 4. What are the coefficients in the polynomial 7x - 4x + 6? (1 poinO-7,407, 4, -607,-4, 607,-4Add or subtract. find the distance between the points (-5.4,-9.5) and (-5.4, -5.5) PLEASE HELP!What was happening in 1940 when Auden first published "The Unknown Citizen" and how may national or world events have impact the poet's perspective? Write your answer using complete sentences. Q5. An earthquake causes a sea wave. This sea wave travels 26 400 m in two minutes. Calculate the speed of the wave. Use the equation Q6. wave speed distance time speed = Elijah henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%. what was his commission on the sales? How does the Foucault Pendulum show that the Earth rotates? THE PEDESTRIAN. Commonlit by Ray BradburyWhere is he going ?What do you notice about the streets ??Where are all the people ?Who stopped him?What kind of car is it ?Who is talking to him ?????Is there someone in the car ????What does the voice order him to do ??What is his response ?11. How is he treated ?Where are they taking him ?What Do you think is the message of this story What is the author trying to make us realize ? Is this abut government control and no freedom ?Please explain all your answers give as much detail as possible. 8. Ella wants to replace old bulbs of her home with new LED bulbs. She buys LED bulb that has inbuilt AC to DC converter of output 5V and 2.5A. a. If the LED is 75% efficient, what would be the power dissipated? b. Find the work done by the LED when it is connected to the power supply and left for 1hour 15 minutes.