A restaurant patron is making a salad. Her salad can consist of just​ lettuce, or she can add any of the following​ items: ​banana pepper, green peppers, onions, cucumbers, carrots, olives, pickles, cheese, sun flower seeds, tomatoes. How many different variations of a salad are​ possible?

Answers

Answer 1

Answer:

45 variations

Step-by-step explanation:

Answer 2

There are 1024 possible variations of salad

The number of ways of selecting atleast one item from a list of distinct items is given by :

[tex] {2}^{n} - 1[/tex]

Where n = number of distinct items in the list :

The items which could be added :

{banana pepper, green peppers, onions, cucumbers, carrots, olives, pickles, cheese, sun flower seeds, tomatoes}

Hence, the number of items, n = 10

Therefore, the number of different variations of items which can be made from the list is :

[tex] {2}^{10} - 1 = 1024 \: - 1 \: = 1023[/tex]

Since the salad originally contains lettuce only, we add 1 to the value obtained :

Hence, the number of different variations of salad possible is :

[tex]1023 \: + \: 1 \: = \: 1024[/tex]

Hence, there are 1024 different variations of salad possible.

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Related Questions

Help please!! I’m confused on this question. Thank you!!!

Answers

Answer:

Im pretty sure that is an obtuse angle

Step-by-step explanation:

Hope that helps

Answer:

it's an acute angle

Step-by-step explanation:

if its larger than 90⁰ then it's obtuse however if it's smaller than 90⁰ it's acute

HELP ASAP, TIMED TESTTranslate the word problem below into an equation; then solve.
The ratio of golf balls to tennis balls in the pro shop is 5 : 4. If there are 385 golf balls,
how many tennis balls are there?

Answers

Answer:

308

Step-by-step explanation:

For every 5 golf balls, there are 4 tennis balls.

Divide by five: for every 1 golf ball, you have 0.8 of a tennis ball.

Multiply by 385: for every 385 golf balls, there are 308 tennis balls.

Let f be the function given by f (x) = 5 cos^2(x/2) + ln(x + 1) - 3. The derivative of f is given by
f'(x)= -5 cos (x/2) sin(x/2) +
(1)/(x+1). What value of c satisfies the conclusion of the Mean Value
Theorem applied to f on the interval 1,4 ?

Answers

First, make sure the mean value theorem applies for the given f . Its domain is x + 1 > 0, or x > -1, and it's continuous and differentiable on its domain, so all is well.

By the MVT, we have for some c in the open interval (1, 4),

f ' (c) = (f (4) - f (1)) / (4 - 1)

f (x) = 5 cos²(x/2) + ln(x + 1) - 3

→   f (4) = 5 cos²(2) + ln(5) - 3

→   f (1) = 5 cos²(1/2) + ln(2) - 3

→   f ' (c) = (5 cos²(2) + ln(5) - 3 - 5 cos²(1/2) - ln(2) + 3) / 3

-5 cos(c/2) sin(c/2) + 1/(c + 1) = (5 (cos²(2) - cos²(1/2)) + ln(5/2)) / 3

-15 sin(c) + 6/(c + 1) = 10 (cos(4) - cos(1)) + 2 ln(5/2)

You'll need the help of a calculator to solve this. Over the interval 1 < c < 4, there are two solutions c ≈ 1.0525 and c ≈ 2.217.

Currently, ______ is the main source of energy used by humans...
please help

Answers

Answer:

oil, fuels, fossil fuels

Step-by-step explanation:

The following is a function, g(x).
g(x)=x/2 - 10
What is the value of g(-5)?

Answers

Answer:

3

Step-by-step explanation:

Yes

Answer is 12.5. Because plug in 15 where the x is. So it will be -5/2 - 10 /1

In a right triangle, the leg adjacent to an angle of 23° is 12 cm long. How long is the leg opposite the 23° angle, to the nearest tenth?

Answers

Answer:

tan55 = x/43

x = tan(55) * 43

x = 61.4 cm

Step-by-step explanation:

The length of the leg opposite the 23° angle, to the nearest tenth, will be 5.1 cm.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a right triangle, the leg adjacent to an angle of 23° is 12 cm long. The triangle is given below.

Let 'x' be the opposite side of the angle 23°. Then the value of the variable 'x' is given as,

tan 23° = x / 12

Simplify the equation, then we have

tan 23° = x / 12

0.4244 = x / 12

x = 0.4244 · 12

x = 5.1 cm

The length of the leg opposite the 23° angle, to the nearest tenth, will be 5.1 cm.

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Help with this question

Answers

I think times by 3, plus 2

Subtract and then simplify

Answers

What am I subtracting and simplifying?

Answer:

simplify and subtract what

Step-by-step explanation:

What is the result of converting 20 ounces into pounds remember that 1 lbs. 16 oz.

Answers

The answer is 1.25 pounds

Which of the following best explains why President Nixon referred to
Americans who supported his policies as the "silent majority"?
A. He believed his supporters didn't vote in national elections.
B. He believed there were more people in America who agreed with
him than didn't agree with him.
C. He knew Americans didn't trust the government because of the
credibility gap.
O D. He saw that many more people were demonstrating on the streets
in his favor rather than against him.

Answers

the answer is B on edge

Help me please I’ll give brainliest

Answers

Answer:

x=124

Step-by-step explanation:

Hope this helps

the whole is 180

180-48 is 132

132-8 = 124

Answer:

w = 124 degrees

Step-by-step explanation:

The straight line is equal to 180 degrees, so 48 + (w+8) = 180.

40 + (w+8) = 180

40 + w + 8 = 180

w + 40 + 8 = 180

w + 48 = 180

w + 48 - 48 = 180 - 48

w = 124 degrees

Could someone please help me on this question. It would be very much appreciated :)

Answers

Answer: X would go in the right triangle.

Step-by-step explanation:

Hope this helps!

168_138_123_ _ _ _ _ _ me ayudan por favor?✅​

Answers

paso a paso

Step-by-step explanation:

tienes que saber cuanto le quito al otro por que

el primero es 168 y el otro es 138 cubro le quito 30 y el otro

es 123 igual tienes que quitarle tal ves es sumarle primero y después 2 de restarle

espero que te sirva

Pls help with my question

Answers

Answer:

number 1 : 5/12

Step-by-step explanation:

Answer:

1/2 or 6/12

Step-by-step explanation:

By multiplying the numerator and denominator together, we get 6/12, and when we simplify that we get 1/2, our answer.

In the expression a = k/b , what is k?
a.
inverse variation
c.
constant of variation
b.
direct variation
d.
the solution

Answers

Answer:

C= constant of variation

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

2/3 *3/4 is equal or greater or less than 3/4

Answers

Answer:

Less than

Step-by-step explanation:

2/3*3/4=6/12. 6/12=1/2. 1/2=2/4. 2/4 is less than 3/4.

Hope it helps!

in desperation it divided 4 x 6 -12 which operational will do you do first addition be subtraction multiplication division

what the answer

pls answer pls​

Answers

Answer:24-12=12

Step-by-step explanation:

Each week, Phyllis earns $20 per hour. Which graph expresses the relationship
between Phyllis' hours worked and her corresponding earnings? Drag the graph to
the box.

Answers

Well, the answer to this question is the first option. The reason for this is because we can see that for every hour, Phyllis is earning and getting $20.00 whereas the other graphs are not showing this relationship.

Two candidates ran for class president. The candidate that won received 60% of the 330 total votes. How many votes did the
winning candidate receive?
A. 132
B. 20
C. 310
D. 198

I NEED HELP ASAP I WILL MARK RIGHT ANSWER AS BRAINLIST

Answers

Answer

D) 198

Step-by-step explanation:

60/100 *330

=198•0

=198

THIS IS THE CORRECT ANSWER

WAITING FOR YOUR RESPONSE

Can anyone plz help me with this math equation? I’m not so good at math and I would really appreciate it❤️

Answers

Answer:

49+112=161

Step-by-step explanation:

first find the base b^2 which is 7^2 which is 49, then find one of the side then * 4 which is 7*8/2*4=112, add them together gets 161. Done!

The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books.

Answers

Answer:

whats the question?

Step-by-step explanation:

find the value of x and the measure of each angle

Answers

where’s the equation/problem?

help help help help help help help help help help help help help help help help help help ​

Answers

Answer:

The answer to number one is 3 1/2, the answer to number two is 3 1/3, the answer to number three is 1 1/4, the answer to number four is 1 3/5, the answer to number five is 3 1/5, the answer to number six is 19/4, the answer to number seven is 27/5, the answer to number eight is 35/3, the answer to number nine is 24/7, and the answer to number ten is 13/6.

Step-by-step explanation:

To change an improper fraction into a mixed number, you hate to divide the numerator by the denominator. For example, if the improper fraction was 10/5, you would get 2 because 5 goes into 10 two times. If the improper fraction was 8/5, you would do the same thing and get 1 3/5 because 5 goes into 8 once, and since 8 minus 5 is 3, you get 3 over 5.

To change a mixed number into an improper fraction, you have to multiply the denominator my the whole number, and then take that number and add it by the numerator. For example, if the mixed number was 8 2/3, the improper fraction would be 26/3 because 3 times 8 is 24, and 24 plus 2 is 26.

I hope this helps you have a wonderful day :D

Answer:

for some reason the picture glitched for me

Step-by-step explanation:

:|

What does 2/8 minus 2/8 equals

Answers

Answer: It's just 0...

Answer:

zero

Step-by-step explanation:

just like 1-1=0, this isnt that different.

hope this helps.     :)

What is f(4) for the function f(x) = 7x +3? f(4) = ?​

Answers

Answer:

72

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i took the test

Solve the system by elimination

Answers

9514 1404 393

Answer:

  5)  (x, y) = (10, -1)

  6)  (x, y) = (5, 6)

Step-by-step explanation:

5) y coefficients are opposites, so y can be eliminated by adding the two equations.

  (x -y) +(2x +y) = (11) +(19)

  3x = 30 . . . . . simplify

  x = 10 . . . . . . . divide by 3

Using the second equation, we can find y:

  2(10) +y = 19

  y = -1 . . . . . subtract 20

The solution is (x, y) = (10, -1).

__

6) The x-coefficients are the same, so we can eliminate the x-term by subtracting the second equation from the first. We choose to do it that way so the y-coefficient ends up positive.

  (-6x +6y) -(-6x +3y) = (6) -(-12)

  3y = 18 . . . . . . simplify

  y = 6 . . . . . . . . divide by 6

Using the first equation to find x, we have ...

  -6x +6(6) = 6

  x -6 = -1 . . . . . . . divide by -6

  x = 5 . . . . . . . . . add 6

The solution is (x, y) = (5, 6).

Write the slope intercept form of a line containing the y - intercept (0, -3) with a slope of –1.

Answers

Answer:

y = -x - 3

Step-by-step explanation:

Chad bought 8 dozen note pads for his office. The note pads were divided equally into 6 boxes. How many note pads are in each box? (Hint: a dozen is equal to 12) *

Answers

16 note pads
8 * 12 = 96
96 / 6 = 16

Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.

Answers

Answer:

x=9.957

2(2.7182823)x=400

x=9.957

Answer:

1.766

Step-by-step explanation:

got it right on the test

Examine the linear equation. 4x − 9y = 36 Select the appropriate steps to write an equivalent equation in slope-intercept form. Step 1: Add 9y to both sides. Step 2: Divide both sides by 4.

Answers

Answer:

Step 1:  

✔ Subtract 4x from both sides.  

Step 2:  

✔ Divide both sides by –9.

Step-by-step explanation:

got it right on my assignment :))

After applying both steps we get the equivalent equation in slope-intercept form as;

⇒ x = 9/4y + 9

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The linear equation is,

⇒ 4x - 9y = 36

Now, Apply both steps as;

⇒ 4x - 9y = 36

Step 1: Add 9y to both sides.

⇒ 4x - 9y + 9y = 36 + 9y

⇒ 4x = 9y + 36

Step 2: Divide both sides by 4.

⇒ x = 1/4 (9y + 36)

⇒ x = 9/4y + 9

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