An ice cream shop has a selection of 10 flavors of ice cream and 5 toppings. The first menu option lets you pick three flavors and two toppings for $3.75. How many combinations can be created with the first menu option, assuming you pick different flavors of ice cream and different toppings?

Answers

Answer 1

Answer:

Here we want to find all the possible combinations that we can make,

First, let's define the selections that we have, and the number of options for each one of these selections. (Remember that each option can be selected only once)

we have 3 flavors and 2 toppings, so let's analyze this case:

First flavor ----- here we have 10 options

Second flavor ---- because we already selected one before, now we have 9 options.

Third flavor ---- because we already selected two before, now we have 8 options.

First topping --- here we have 5 options,

Second topping --- because we already selected one before, here we have 4 options.

Now the total number of possible combinations will be equal to the product between the number of options for each selection:

C = 10*9*8*5*4 = 14,400


Related Questions

Solve -3 1/2 = 1/2 x + 1/2 x + x.

Answers

Answer:if you are solving for x it would be x=-7/4 or -1 3/4

Step-by-step explanation:

the following items were bought on sale complete the missing information in the table ​

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Which items honey you forgot to provide that part
You need to add a photo so we know what your taking about

3 TIMES WHAT = TO 90

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Answer:

30 hope this is right yesssir

Find f(1/2) for the function:
f(x)=-x^2+x-3

Answers

Answer:

this i think

Step-by-step explanation:

 

What is the equation of the line x–3y=18in slope-intercept form?

Answers

Answer:

Y=1/3x-6

Step-by-step explanation:

Answer:

Subtract x from both sides.

-3y = -x + 18

Divide everything by -3.

y = -1/3 - 6

^There ya go. ^

Is the angle between side AE and DE, angle AED or just angle E?

URGENT!!!

Answers

Answer:

just angle E

it could have 3 different names tho

1 ADE

2 CEB

3 E

so it could be either of them

After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
0.04 percent
2.0 percent
4.0 percent
37.3 percent

Answers

Answer:

It is C. I think

Step-by-step explanation:

A. will just make the investment smaller, not bigger, so not A. It is not B. because it does not give us the result we want. It's not D. because it is too high of an answer. I think it's C. I hope this helps, and I hope it's not wrong, but I do not think it is.

The answer is 4.0 percent the because 37.3 is to large and will give us more than 1680 0.04 is to small and will move us backwards in money made and 2.0 won’t give us the proper amount of money leaving us with 4.0 as the answer

I really need help i have asked a lot and i will give thanks and brainlyest i am just so stuck

Answers

Answer:

27864000

Step-by-step explanation:

Do 8.1*10^4 * 3.44*10^2

how are the particles in a solid piece of ice organized

Answers

Answer:

The particles in most solids are closely packed together and do not move around. ... Ice is different from most solids because its molecules are not packed as closely together as they are in liquid water. This means ice takes up a little more space than the same amount of liquid water. This is why ice floats.

Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-day motor trip
through upstate New York. On the first day, he drove 433.4 miles. On the second day, he drove
347.9 miles. How many more miles did he drive the first day than the second day?

Answers

Answer:

85.5 miles more than the first day

Step-by-step explanation:

433.4-347.9=85.5 miles

This is the difference in miles between the first in second day. Also known as how much more miles driven for the first day then the second day.

What is the expression in radical form?

(4x^3y^2)^3/10

Enter your answer in simplest form in the box

Answers

Answer:

32x

Step-by-step explanation:

5x+21-7x=-3+3+x-4x+6

Answers

This help !!!!!!!!!!!!’n n

Which set of ordered pairs represent a function?

Answers

Answer:

B.

Step-by-step explanation:

No number repeats itself in the x value.

B



Hope I helped a bit

Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the
number of miles run, y.
(1, 2.5), (2, 4.2), (4,5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the
nearest tenth of a mile.
miles
O
day 3

Answers

Answer:

4.6

Step-by-step explanation:

The distance run on day 3 is about 5.9 miles.

What is the point-slope form of a line?

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

The data points given are:

(1,2.5), (2,4.2), (4.5,6), (6,7), (8,8.1), (10,11)

Note that the growth seems to be linear, therefore, find a linear equation for the data.

Use (1,2.5) and (2,4.2) to find the slope of the line:

m = (4.2-2.5)/(2-1)

m = 1.7

The equation of the line with slope m = 1.7 and passes through point (1, 2.5) is:

y - 2.5 = 1.7(x - 1)

y = 1.7x - 1.7 + 2.5

y = 1.7x + 0.8

Substitute x = 3 into the above equation:
y = 1.7(3) + 0.8

y = 5.9

Hence, the distance run on day 3 is about 5.9 miles.

Learn more about the point-slope form of a line:

https://brainly.com/question/29503162

#SPJ6

Suppose y varies directly with x and y =75 when x = 6. What is the value of y when x = 5?

Answers

Answer:

62.5

Step-by-step explanation:

y∞x

y=kx( where k is the constant)

75=6k

75÷6 =k

12.5=k

therefore the relationship between k,x and y is y=12.5x

y=12.5×5

y=62.5

If the only zeros of a degree four polynomial function, f, are (-3, 0), (1, 0), and (3, 0), which statement(s) is always true about this function? *
5 points
Captionless Image
I only
I and III only
II and III only
I, II, and III

Answers

Answer:

It’s c

Step-by-step explanation:

is 5:4 equivalent to 4 and 30

Answers

Answer: No

Step-by-step explanation:

The only two equivalent ratios to 5:4 are 8:10 and 12:15.


Can someone please help me asap ill mark brainlist!!!

Answers

Answer:

$6.90 would be the answer

Step-by-step explanation:

114.98 * .06

Answer-
6.90
Hope that helped

I really need help!!My teacher didn’t explain this!

Answers

B is the correct answer
Hope this helps:)

Answer:

The answer is A -3 is greater than y and y is less than 3

Step-by-step explanation:

I'm not really sure how to solve these either, but if you type the equations into desmos graphing calculator just make sure the highlighted area in desmos is the same as the points on your question and it will be correct.

is | x - 5 | < 22 a intersection or union?

Answers

Answer:

union

Step-by-step explanation:

because yes

159.8195 as an exponet please helppppp

Answers

Answer:

159.8195

1.59x10^2

Step-by-step explanation:

PLEASE HELP! URGENT!
1: Write an equation of the line that passes through the points (−2,−7) and (0,−4).
2:Write an equation of a line that passes through the point (2,1) and is perpendicular to the line y=13x+2.
3:You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 weeks the account holds $133. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.

Answers

Answer:

1: y=(3x/2)-4  2 :y=(-x/13)+(15/13) 3: y = 13x+55

Step-by-step explanation:

1:

Begin by finding slope

m = (y2-1)/(x2-1)

(-7-(-4)/(-2-0) = 3/2

next use point slope form

y-y1 = m(x-x1) (you can pick any point to use, I will use (0,-4)

y-(-4) = 3/2(x-0)

y+4 = 3x/2

y=(3x/2)-4

2:

The slope of the line y=13x+2 is 13

Take the opposite sign and reciprocal of 13 to get the slope of the line perpendicular; in this case it's -1/13

Next, just like in problem 1, use point slope form.

y-1 = (-1/13)(x-2)

y-1 = (-x/13)+(2/13)   (convert 1 to 13/13 for like terms and bring over to the left side)

y=(-x/13)+(15/13)

3:

the intercept will be $55 since it's the initial amount

you know that you deposit some amount every week so set this up as an equation

$133 = m(6)+$55     (the amount deposited every week times 6 +the initial $55 will equal $133)

solving for m gets you $13

so the equation is y = 13x+55

plug in 6 for x to check; 13x6 + 55 = 133

hope this helps

PLS HELP THIS IS VERY IMPORTANT

Answers

Answer:

22 degrees

Step-by-step explanation:

The total degree of a triangle is 180 degrees.

we are given two degrees already; 90 degrees (from the right angle sign) and 68 degrees from the problem. If we create an equation to reflect this we can find the missing angle:

180 = 90 + 68 + x

180 = 158 + x

x = 22

Step-by-step explanation:

<TSU=68

<STU=90

<SUT=

90+68=158

180-158=22


Find each unit rate. Round your answer to the nearest hundredth.
2.
192 students in 4 buses
in each bus
1. type 800 words in 12 minutes
words per minute
3. 357 miles in 5 hours
miles per hour
5. a 10-1b bag of cherries for $33.49
per lb
4. 8 ducks for $23.60
S
per duck
6. 12 chickens lay 30 eggs
cges per chicken
7. Earn $134 in 8 hours
per hour
8. 3 pizzas for $19.99
each
9. 3500 calories for 6 servings of pie
calories per serving
$37.29 for 2 pairs of jeans.
cach
10. 351 chairs in 27 rows
chairs in each row
12
$37.29 for 2 pairs of ducks
per duck
13
24 senior citizens in 12 RVS
in each RV
14. 7 penguins for S188.88
cach

Answers

2. -56

1. 35x
3. 60mph
5. 10.33
4. 13.05$
6.5
7. 34
8.14.09
9.1200
10.53
12. 67.0
13. 6.21
14. 32

Find the volume of the solid formed By revolving the region bounded By the graphs of y=x^3, y=1, and x=2 about the line x-axis

Answers

Answer:

the y axis will be 1 and the x axis will be 8

I know that the y axis will be 1 because y=1  and I know that the x axis will be 8 because 2 to cubed will be 8 because when you multiply 2 by 2 you get 4 and when you multiply 4 by 2 the answer will be 8 so the axis will be (1,8)

Step-by-step explanation:

what is the equation of the line perpendicular to y=1/2x-3 going through the point P(10,5)?

Answers

Answer:

y=-2x+25

Step-by-step explanation:

the slope has to be -2, becauze in perpendicular lines, the slopes are opposite.

put it into y-y1=m(x-x1) form, which is y-5=-2(x-10)

then get rid of the parenthesis by distribution, which gives you y-5=-2x+20 (-10x-2 gives a positive 20)

then isolate y and balance the equation.

y-5+5=-2x+20+5, which gives you

y=-2x+25

. Write the equation of the line that contains the point
(4,7) and is parallel to x= 3.

Answers

Answer:

y=3x-5

Step-by-step explanation:

Use point slope form. y-7= 3(x-4)

Simplify: y-7= 3x-12

Simplify more: y=3x-5

Hope this helps!

simplify this expression: (4x-9)-(8x-2), need help !!

Answers

Answer:

-4x - 7

Step-by-step explanation:

Step 1: Define expression

(4x - 9) - (8x - 2)

Step 2: Distribute negative

4x - 9 - 8x + 2

Step 3: Combine like terms

-4x - 7

Zoey made 9 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4-cup servings. Thirteen people are going on the camping trip. Can Zoey make enough 3/4-cup servings so that each person on the trip has one serving?

Answers

Answer:

Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.

Step-by-step explanation:

Zoey made 9 1/2 cups of trail mix for a camping trip.

She wants to divide the trail mix into 3/4-cup servings.

Thirteen people are going on the camping trip.

This means :

1 person = 3/4 cup servings

13 people = x

Cross Multiply

13× 3/4

= 39/4

= 9 3/4 cup

So for Zoey to be able to serve 13 people the trail mix in 3/4 cup servings, she need 9 3/4 cups of the trail mix

From the she made 9 1/2 cups of the trail mix.

Hence, Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, What is the intersection of the set A and set C? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 9} {1, 2, 3, 4, 5, 6, 7, 9} {3, 5, 6} {3, 5, 6} {1, 2, 3, 5}

Answers

Answer:

[tex]A\,\cap\,C = \{3,5,6\}[/tex]

Step-by-step explanation:

From Set Theory we know that intersection is a binary operation between two sets consisting in labeling the common elements of both sets. If [tex]A=\{1,2,3,4,5,6\}[/tex] and [tex]C =\{3,5,6,7,8,9\}[/tex], then [tex]A\,\cap\,C = \{3,5,6\}[/tex].

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