There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?

Answers

Answer 1

Answer:

There will be 56 possible combinations if he is allowed to choose the same topping twice.

There will be 47 if he is not allowed to choose the same topping twice.

Step-by-step explanation:

Answer 2

Number of ways max choose two are 45

What are combinations?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;

Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);

Given;

Toppings available to make an ice cream sundae = 10

The  number of ways can Max choose 2;

= 10C2

=10! / [(10-2)! X 2!]

=45

Therefore, Max can choose toppings is 45 by combination

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Related Questions

which function has the range (-infinity,-2]U[0,infinity)?

a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1

Answers

Answer:

y= csc(x)+1

Step-by-step explanation:

A P E X

cosec(X) + 1  has the range (-infinity,-2]U[0,infinity)

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1

Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).

So,

Range of Cosec (x) +1 will be ,

= (-∞,-1+1] ∪ [1+1,∞).

= (-∞, 0] ∪ [2,∞)

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what is the radius of the cylinder​

Answers

Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2) , Given volume and lateral area: r = 2 * V / A_l , Given base area: r = √(A_b / (2 * π)) , Given lateral area and total area: r = √((A - A_l) / (2 * π)) .

describe and correct the error a student made when finding the function rule for the data in the table

Answers

I don't know if you still need the answer, but it's in the picture

The correct statement is; B. When x increases by​ 1, y increases by 9. The function rule is y = 9x + 1

What is linear function?

A linear function is represented as: y = mx + c

Where m is the slope and b is the intercept the value of y, when x = 0

From the given table, we have the following observations that;

As x increases by 1

The value of y increases by 9 and the slope of the table is 9

So, we have been given m = 9

Then y = 9x + c

Since an increment of 1 in the value of x will result in an increment of 9 in the value of y which means that; If x is reduced by 1, the corresponding value of y would reduce by 9.

When x = 1 then y = 10

This means that y = 9x + 1

The correct statement is; B. When x increases by​ 1, y increases by 9. The function rule is y = 9x + 1

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A train traveled from one city to another city in 4 hours at a speed of 70 mph.
The retum trip was made in 5 hours. Find the speed for the return trip.

Answers

Answer:

56miles/hr

Step-by-step explanation:

Given parameters:

Time taken for the to travel  = 4hrs

Speed of the train  = 70mph

  From this data, let us find the distance of the trip;

Distance  =Speed x time

  Therefore, insert the parameters;

          Distance  = 70mph x 4hr = 280miles

Now;

  Return trip took, 5hrs,

Speed  = ?

  Speed  = [tex]\frac{distance}{time}[/tex]  

Insert the parameters and solve;

     Speed  = [tex]\frac{280}{5}[/tex]   = 56miles/hr

identiy why trade improved during the middleages.
this is the question.

Answers

Answer:

intermarriage

Step-by-step explanation:

people from different part intermarried

Answer:

dont know

Step-by-step explanation:

Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.



Select all statements that are true.





They both have a slope of 2.


They cross the x-axis at the same point.


They are parallel to each other.


They have the same slope.


They are in the same location.


They cross the y-axis at the same point.

Answers

Answer:

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Step-by-step explanation:

The 2 equations are;

y = 2x and y = 2x - 7

Now, from slope intercept equation,

y = mx + c

Where m is slope and c is the intercept on the y-axis

From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.

For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.

They should cross the x-axis when y = 0.

But at x = 0,we have;

y = 2x = 0. And x = 0

Also,for y = 2x - 7 is y = 2x - 7 = 0

2x = 7 and x = 7/2.

Thus,they don't cross the x - axis at the same point

Looking at the options, we can see that there are 3 correct ones from what we've described above namely;

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Answer:

its

Step-by-step explanation:

Simplify x^-5

please please I need it please please please please please please

Answers

Answer:

[tex]1/x^5[/tex]

Step-by-step explanation:

[tex]x^-^y = 1/x^y[/tex]

Answer:

1/x^5

Step-by-step explanation:

When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5

Answer: 1/x^5

40% of what number is 50.8? Help.

Answers

Answer:

20.32

Have a beautiful day!

Answer:

127

Step-by-step explanation:

the wheels on a bicycle have a circumference of 4 feet. if the bicycle travels 48 feet how many rotations does it make?

Answers

Answer:

12

Step-by-step explanation:

48 divided by 4 is 12

A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)

Answers

Answer:

The required width of the field that would maximize the area is = 1250  feet

Step-by-step explanation:

Given that:

The total fencing length = 5000 ft

Let consider w to be the width and L to be the length.

Then; the perimeter of the rectangular field by assuming a parallel direction is:

P = 3L + 2w

⇒ 3L + 2w = 5000

3L = 5000 - 2w

[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]

Recall that:

The area of the rectangle = L×w

[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]

[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]

Taking the differentiation of both sides with respect to t; we have:

[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]

[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]

Then; we set A'(w) to be equal to zero;

So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]

5000  = 4w

w = 5000/4

w = 1250

Thus; the required width of the field that would maximize the area is = 1250  feet

Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :

[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]

L = (5000 -2500)/3

L = 2500/3 feet

Suppose, the farmer divides the plot parallel to the width; Then  2500/3 feet = 833.33 feet and the length L = 1250 feet.

PLS help me asap
A motorboat moves across a lake at a constant speed. When it begins, it is 64
km from the shore. After 17 minutes, it is 30 km from the shore. Which
function describes the motorboat's distance from the shore?

The answer
A. y= 2x+64
B. y=-2x+64
C. y=-17x+ 30
D. y=-17x+64

Answers

Answer:

y=-2x+64 i think

Step-by-step explanation:

The answer is B hope this helps

Look at image please help me ASAP

Answers

Answer:

 [tex]\frac{-3 y^{11} }{x}[/tex]

7 X-4 = *
A) 28
B) 11
C) -11
D) -28

Answers

Answer:

7*-4=-28

Step-by-step explanation:

7*-4=-28

Answer: 7x-4= -28                                               (One Postive+One Negtive= Negtive

1/x+x/2=11/6 transformable to quadratic equations​

Answers

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

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PLS HELP
John was 3 5/8 feet tall when he was three years old. He is now 6 1/4 feet tall. How many feet did he grow in total?
Prediction:_________________________________________________
Expression: ______________________________
Simplify

Answers

turn the 5/8 into 2.5/4 then add 1/4. Now it is 3.5/4. Add 3 + 6 = 9 so you add the 3.5/4 and it turns into 9 3.5/4. Subtract 3 and you get your answer?

                                         -Can I please have Brainliest

What are the slope and y-intercept

Answers

Answer:

Slope= -1/2 ; y-inter = 0

Step-by-step explanation:

Slope m = -1/2
By using the slope and the points given; especially pints (2, 12) and (-2, 14)
Y intercept b = 13

A turkey cost $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8-pound servings if turkey. How much will the turkey for Thanksgiving dinner cost?

Answers

Answer:

5.90625

Step-by-step explanation:

15*3/8=5 5/8

5 5/8=5.625

1.05*5.625=5.90625

The cost of the turkey for Thanksgiving dinner is $ 11.8125

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of 1 pound of turkey = $ 1.05

Total number of people at the Thanksgiving dinner = 15 people

The number of servings for each person = 2 servings

The amount of turkey servings for each person = 2 x 3/8 pound servings

                                                                               = 3/4 pound servings

Now , the equation will be

So , the total cost of 3/4 pound servings of turkey =
3/4 x cost of 1 pound of turkey

The total cost of 3/4 pound servings of turkey = 3/4 x 1.05

                                                                             = $ 0.7875

Now , the cost for 15 people at the Thanksgiving dinner =
15 x total cost of 3/4 pound servings of turkey

The cost for 15 people at the Thanksgiving dinner = 15 x 0.7875

                                                                                    = $ 11.8125

Hence , The cost of the turkey for Thanksgiving dinner is $ 11.8125

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What’s 2+2 get it right we can be 1,000 dollars

Answers

4! Or 22 :))))))))))))))))))) hope I got it right!

PLEASE PLEASD HELP!!!
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in
m minutes?

Answers

Answer:

8m=p

Step-by-step explanation:

480/60=8

please helppp ppppñpñp

Answers

Answer:

I tried my best to explain it, hope it helps!

Step-by-step explanation:

The larger of two numbers is 4 more than 2 times the smaller number. If the sum of the two numbers is 28, what is the larger number

Answers

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?​

Answers

Answer:

The answer is

A ) 12 to 20

Step-by-step explanation:

Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)

Heeeeellpppp
x^5 + 6x + 11x + 6 = 0

Answers

Answer:

The answer for x is

x=0.35262048

pleasee heelllppp asapppp ugghhh its for a testtt plzzzzzz

Answers

Answer:

The answer is 1

Answer:

i think -3

Step-by-step explanation:

jacket costs $40 at the store. Max pays only 0.7 of the price
because his father works at the store. Evan has a coupon for $10 off.
Explain who will pay less for the jacket.
g Company

Answers

Answer:

Max pays less because 70 percent of 40 is 28 meaning max only pays 28 bucks, meanwhile Evan pays 30 because 40 minus 10 is 30. Max pays 28 and Evan pays 30.

Step-by-step explanation:

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?

Answers

Answer:

A loss of 93.98 points. Hope this is helpful!

Step-by-step explanation:

Answer:

fat dickaling

Step-by-step explanation:

29 + 15x = -x - 3. Simplified

Answers

for this equation the answer is x= -2

What is the equation of the line shown in this graph?

Answers

Answer:

y= 1

Step-by-step explanation:

Use y=mx +b

We have no slope so its just y= b

y=1

What is another way to summarize the outcome of this proof?
1
Given: AB II CD
A
B
4
6
5
Prove: 23 a 26
с
7
8
D
Statement
Reason
1. AB||CD
1. Given
2.23 27
2. Corresponding angles theorem
3. Vertical angles are congruent
3. 27 - 26
4. m23 = m27
m27 = m_6
5. m23 = m26
4. Definition of congruence
5. Substitution
6.23 - 26
6. Definition of congruence
Vertical angles are congruent.
B. If two lines are parallel, then alternate interior angles are
congruent.
C. Corresponding angles theorem.
D. If two lines are parallel, then alternate exterior angles are
congruent.

Answers

Answer:

Option B: If two lines are parallel, then alternate interior angles are

congruent.

Step-by-step explanation:

Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:

"If two lines are parallel, then alternate interior angles are  congruent."

Round 985, 932 to the nearest thousand.

Answers

Answer:

900

Step-by-step explanation:

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