A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?

hint.. correct answer is 4096

Answers

Answer 1
4096 ways : 8 candy toppings plus 4 fruit toppings is 12. Then 2^12 (2 different types of toppings and the 12 of total toppings) = 4096

Related Questions

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Answers

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

Write 8 as the ratio of two integer

Answers

Answer:

Step-by-step explanation:   7  1  16   37

8/1     8 divided by 1

16/2   16 divided by 2

24/3   24 divided by 3       I could go on, but won't

Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?



A. 13 mi.
B. 14 mi.
C. 16 mi.
D. 17 mi.

Answers

Answer:

C. 16 mi.

Step-by-step explanation:

This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.

Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.

a² + b² = c²

32² + 24² = c²

1600 = c²

40 = c

So, the southeast course is 40 miles long.

Find how many miles the pilot traveled on the alternate route:

32 + 24

= 56

Find the difference in extra miles:

56 - 40

= 16

So, the pilot was forced to fly 16 extra miles.

The correct answer is C. 16 mi.

Answer:

16

Step-by-step explanation:

On Edge 2022

pls pls help

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many

Answers

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.

Write an equation that represents the line.
Use exact numbers.

Answers

the line passes point (0, -3) and (1, -5)

the slope = (-5+3) /(1-0) = -2/1 = -2

the y-intercept = -3

so, the equation : y = -2x -3

worth 10 points please help me ASAP!

Answers

Answer:

(-1,-1)

Step-by-step explanation:

If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).

2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.

Answers

Answer:

232

Step-by-step explanation:

Answer:  11.7

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

Explanation:

I recommend drawing out the triangle. See below.

Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.

side a is opposite angle Aside b is opposite angle Bside c is opposite angle C

We're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A

A+B+C = 180

A+22+52 = 180

A+74 = 180

A = 180-74

A = 106

We do this so we can then apply the law of sines

sin(A)/a = sin(B)/b

sin(106)/30 = sin(22)/b

b*sin(106) = 30*sin(22) ....... cross multiplication

b = 30*sin(22)/sin(106)

b = 11.6910908340182 ....... which is approximate

b = 11.7

Make sure your calculator is in degree mode.

Find the size of each of the unknown angles. Help me plz.

The answer is a=b=60 degree and c=120 degree. Give me solution plz​

Answers

Answer:

a=60 b=60 c=120 is the answer

Which should equal 105° to prove that f I g?
abcd

Answers

Answer:

Step-by-step explanation:

sorry bout the poor drawing but it should be legible

Which length is equivalent to 12 yards?
4 feet
9 feet
15 feet
36 feet

Answers

Answer:

4 feet

Step-by-step explanation:

1 yard is 3 feet

then 12 yards is 4 feet

Answer:

It is 36.

Step-by-step explanation:

It's simple math

The measures of the exterior angles of a pentagon are x', 38°, 45°,
5x", and 72. Solve for x.

Answers

Answer:

Step-by-step explanation:

sum of exterior angles of a polygon=360°

x+38+45+5x+72=360

6x=360-155=205

x=205/6=34 1/6

second question

x+3x+4x+5x+7x=360

20x=360

x=360/20=18

x=18

An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?

Answers

To find the number of full trucks we can do 1006 / 12. This gives us 83.8333. That is, 83 full trucks and a bit left over.
The bit left over is the answer to the second part, the last truck. 0.8333 is the same as 10/12, so the last truck will have 10 cars in it. If we didn’t know that fraction, we could find the answer by saying 12x83 = 996. 1006 - 996 = 10.

So the final answer is: 83 full trucks and 10 cars in the last truck.

In this picture, the measure of angle theta is 1 radian.

A. True
B. False

*please include an explanation for answer*

Answers

Answer:

B

Step-by-step explanation:

A central angle of 1 radian occurs when the arc length is equal to the radius.

Here the radius is 2.5 in and the arc length is 2 in

Thus the statement is False

what's the middle number between 20 and 30?​

Answers

Answer:

25

Step-by-step explanation:

you can find the middle number by solving for the mean/average

20+30=50

50/2=25

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{What's the middle number between 20 \& 30?}[/tex]

[tex]\mathsf{\dfrac{20+30}{2}}[/tex]

[tex]\large\textsf{20 + 30 = \bf 50}[/tex]

[tex]\mathsf{=\dfrac{ 50}{2}}[/tex]

[tex]\large\textsf{= \bf 25}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: middle number between 20 \& 30 is: \bf 25}}}\\\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A system of equations and its solution are given below.

System A
5x-y=-11
3x-2y=-8
solution: (-2,1)

To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.

System B
5x-y=-11
?


A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.

Answers

I think its B i could be wrong though
B I had this one one of my test before

how many 20p coins in £4

Answers

Answer two 20p coins make 40p

Step-by-step explanation:

Answer:

20 number of 20p makes £4.

Step-by-step explanation:

Let the number of 20p be x

Therefore,

                [tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]

0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]

Answers

Answer:

0.21

Step-by-step explanation:

The given expression is :

[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]

We need to solve it.

We know that,

[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]

So,

[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]

or

[tex]=\dfrac{21}{100}[/tex]

So, the value of the given expression is equal to 0.21.


Help and explain pls and thankyouu

Answers

Hello,

1)

[tex]\left\{\begin{array}{ccc}2x-y&=&7\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2y&=&16\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&8\\-2x+3*8&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&7.5\\y&=&8\\\end{array} \right.\\\\[/tex]

Answer C

2)

[tex]\left\{\begin{array}{ccc}x-2y-3z&=&5\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2x&=&12\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&6\\2y+3z&=&1\\z&=&-3\\\end{array} \right.\\\\\\\\\left\{\begin{array}{ccc}x&=&6\\y&=&5\\z&=&-3\\\end{array} \right.\\\\\\[/tex]

Answer C

Find the volume - leave answer in terms of π​

Answers

Answer:

144[tex]\pi[/tex]

Step-by-step explanation:

Volume of a Sphere :

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]

V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)

V  = 288[tex]\pi[/tex]

Now divide by 2, it's only half of a sphere.

Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.

Answers

Step-by-step explanation:

here is the answer to thy question. Feel free to ask for more

use the substitution method to find the value of y in the given system of equations y=2x+5 x+y=4

Answers

Answer:

y = 13/3

Step-by-step explanation:

substitute y=2x+5 in x+y = 4

x+2x+5 = 4

3x+5=4

3x= -1

x= -1/3

substitute x= 1-/3 in x+y = 4

-1/3 +y = 4

y = 13/3

modrater give answer

if 107x = 22224446668880

Thane value of 1x ​

Answers

22224446668880÷107=207705109054.19

Answer:

[tex]107x = 22224446668880 \\ x = \frac{22224446668880}{107} \\ x = 0.0207705109[/tex]

Can you help me or at least guide me through writing a proof on this?
I'm a bit stuck

Answers

Answer:basically if what they want you to prove is correct say it is correct and why is it correct

Step-by-step explanation:

Can someone please help with 5x-4<10

Answers

Answer:

Step-by-step explanation:

5x-4<10

or, 5x<14

or, x<14/5

so, x<2.8

[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]

Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.

G(4, 6), H(1, 5)

Answers

Answer:

x-3y=-14

Step-by-step explanation:

Slope = (5-6)/(1-4) = -1/-3 = 1/3

y-intercept is,

b=6-1/3×4 = 14/3

so the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Answered by GAUTHMATH

Standard form the equation of the line passing through the given points is x-3y=-14

What is equation?

Statement of equality between two expressions consisting of variables and/or numbers

Given points are: G(4, 6), H(1, 5)

Now,

Slope = (5-6)/(1-4)

= -1/-3

= 1/3

and y-intercept is,

b=6-1/3×4

b = 14/3

Hence, the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Hi pls help
Find the volume of this sphere.
Use 3 for T.
V ~ [?]in3
V =473
1 in

Answers

Answer:

volume of the sphere=4/3πr³

=4/3×3×1³ inch³

=4 inch³

??????????????????????????

Answers

Answer:

Step-by-step explanation:

so they used  a total of  560  units

we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula

0.1(x-360+54)

0.1(560-360) + 54 = monthly bill

20+54 = monthly bill

74 = monthly bill

answer D looks good

Help pls. I give all points i have​

Answers

Answer:

100 cm so .............qsuw

the question please i need help

Answers

Personally I would take each ingredient/ 4, then subtract ur answer from the original. So 80g strawberry jelly, 6sponge fingers, 315 custard, 35 tinned fruit

Answer:

90g strawberry jelly

6 sponge fingers

315ml custard

135g tinned fruit

Step-by-step explanation:

----------------------------------------

Since those ingredients that are in the question say making a trifle for four people, let's divide each ingredient by four to find the ingredients for one person, and multiply by 3 to find the ingredients for 3 people.

So,

[tex]120/4=30[/tex]g strawberry jelly

[tex]8/4=2[/tex] sponge fingers

[tex]420/4=105[/tex]ml custard

[tex]180/4=45[/tex]g tinned fruit

There are the ingredients to make a trifle for one person.

-------------------->>>>

Now, let's multiply each of the ingredients for one person and multiply that by three to find the ingredients needed to make a trifle for four people.

[tex]30*3=90[/tex]g strawberry jelly

[tex]2*3=6[/tex] sponge fingers

[tex]105*3=315[/tex]ml custard

[tex]45*3=135[/tex]g tinned fruit

These are the ingredients needed to make a trifle for three people.

----------------------------------------

Hope this is helpful.

what is the smiplest ratio for 75cm:1m:250 mm​

Answers

Answer:

You need to convert all the units to one unit

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