Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?

Answers

Answer 1

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.


Related Questions

What is the value of -34 +2(x-7) if x=-1?

Answers

Answer:

Step-by-step explanation:

-34+2(-1-7)
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What is 867.8916 to the 1/3 power

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Answer:

-867.8916

Step-by-step explanation:

1 ^3= -1×867.8916

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

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Answers

Answer:

does that mean x=-2? because if so then:

F(x)=36

Step-by-step explanation:

(-2-4)^2

-6^2

36

F(x)=36

How many solutions does the following system of equations have?
v=3x +2
2v=5x+8

Answers

Answer:

The answer is C, zero solutions.  

Step-by-step explanation:

y = 5/2x + 2

2y = 5x + 8

Multiply 2 to the first equation.  

2y = 5x + 4

Compare it with the other equation

2y = 5x + 4

2y = 5x + 8

Cancel 2y and 5x on both sides.  

Remaining:

4 = 8

4 ≠ 8.  Therefore, the answer is C, zero solutions.  

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answers

Answer:

x/2 inches

Step-by-step explanation:

A hot-air balloon 70 meters above the ground is falling at a constant rate of 6
meters per second while another hot-air balloon 10 meters above the ground is
rising at a constant rate of 15 meters per second. To the nearest tenth of a second,
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E. 0.2

Answers

The answer is C. 2.9

Three girls-- Kali, Annie, and Xiaoling -- go on a trip with their youth orchestra. The three girls share the cost of the hotel. The bill comes to $295.48. It includes $13.25 for some food that Annie orders and $14.00 for cleaning Xiaoling's uniform. What is the dollar amount of each girl's share of the hotel bill?

Answers

Answer:

About $107.57

Step-by-step explanation:

if you add up the bill cost and the 13.25 for the food and 14.00 for cleaning Xialing's uniform its $322.73 divide that between the 3 girls and you get about 107.57

Each girl would pay Kali = $89.41

Annie = $102.66

Xiaoling  = $103.41

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

Foe example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Total bill amount = $295.48

Now, the amount excluding the amount of food ordered by Annie

= 295.48 - 13.25

= $282.23

and, the amount excluding Cleaning amount

= 282. 23 - 14

= $268.23

So, Each Girl would pay

Kali = $ 268.23 / 3 = $89.41

Annie = 89.41 + 13.25 = $102.66

Xiaoling = 89.41 + 14 = $103.41

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ3

-5x-y=7 how do I show my work

Answers

Step-by-step explanation:

show yourself simplifying into y=mx+b format

Solve the equation below k/12

Answers

Answer:

k = 24

Step-by-step explanation:

Step 1: Write equation

k/12 = 2

Step 2: Multiply 12 on both sides

k = 24

Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent

Answers

200 represents how much money was Initially put into the account

7. A recipe for 12 people needs the following ingredients. Brian is going to adjust the recipe
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4 whole eggs
4 1/4cups of sugar
7 cups of flour
41/2cups of milk.
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Part B
How much sugar will be needed if he is making it for 3 people?

Answers

Answer:

A. Brian will need 1.75 (1 3/4) cups of flour

B. Brian will need 1 1/16 cups of sugar

Step-by-step explanation:

Brian wants to make it for 3 people, so everything must be divided by 4 since 12/4=3.

7/4=1.75

4 1/4 divided by 4=1 1/16

Answer:A is 21 cups of flour and B is 12 3/4 cups of sugar

Step-by-step explanation:

A is 21 because 7x3 is 21 and B because 4 1/4x3 equals 12 and 3/4 cups

What is 6x - 2 if x = 5

Answers

Replace x with 5 so
6 (5) -2
30-2
28

Answer:

28

Step-by-step explanation:

6x = 6 x 5 because x = 5.

6 x 5 = 30

30 - 2 = 28

An Arcticle was sold for Rs250 with a profit of 5% find cost price

Answers

Answer:

I think it should be Rs237

solve the equaton 3x+5y=15 for y

Answers

Here is the answer, I hoped I could help
you can’t. i don’t think there are enough like ‘circumstances’ to solve this problem. you’ll need more than one equation

3. What is the volume of the triangular
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51.84 cm3
0 103.68 cm3

Answers

Answer:

Step-by-step explanation:

3.2

Answer:

3.2

Step-by-step explanation:

jdjdhdidndidnnidndindinidnndindnd

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Answers

Answer: 7.5

Step-by-step explanation:

Absolute value is the distance from 0.

-7.5 is is 7.5 units away from 0.

What is this?
[tex] \frac{f}{4} - 5 = - 9[/tex]

I don't know this one bruh​

Answers

Hey there!

ANSWER: [tex]f=-16[/tex]EXPLANATION:

[tex]\frac{f}{4}-5=-9[/tex]

Simplify both sides and you get:

[tex]\frac{1}{4}f-5=9[/tex]

Now add 5 to both sides and you get:

[tex]\frac{1}{4}f=-4[/tex]

Now you have to multiply both sides and you get:

[tex]f=-16(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Find MN

LM = 3y + 4
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Answers

Answer:

B. 100

Step-by-step explanation:

[tex]3y+4+7y+9=143[/tex]

[tex]10x+13=143[/tex]  143-13=130

10x=130 divide both sides by 10 130/10= 13 x=13

MN=7(13)=91+9=100

LN=3(13)=39+4=43

100+43

bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. write an equation for the relationship using function notation

Answers

Answer:

$2.80x x 50

Step-by-step explanation:

That would be f(x)=2.80x+50.

Help!! no can seem to help me :/

Answers

Answer:

[tex]7 {}^{0} = 1[/tex].

In any number if the power of the number is 0,then it will be 1.

is 3.21 rational or irrational

Answers

Answer: Rational

Step-by-step explanation:

3.21 is rational because it is not an infinite decimal number or a square root that is not whole.

Given f(x) = 4(x - 8), determine the value of f(10).

Answers

Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

Let x = 10

f(10) = 4 ( 10-8)

       = 4 ( 2)

      = 8

Here, we are provided with a polynomial in x and it's general value in variable X is also given.

[tex]f(x) = 4( x - 8)[/tex]

We need to find the value of f(10)

For this, we need to substitute the value of x with 10, because we are required to find f(10)

Given polynomial, f(x) = 4(x - 8), Putting value of x

[tex]f(10) = 4(10 - 8)[/tex]

[tex]f(10) = 4(2)[/tex]

[tex]f(10) = \boxed{ \red{8}}[/tex]

This is our required answer !!

#CarryOnLearning

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6 bakers shared 7.5 kg of flour equally. How much did each
person get?

Answers

Each person gets 1.25 kg
They each got 1.25 kg of flour.
Steps: You would need to divide 7.5 kg by the 6 bakers. 7.5➗6= 1.25.

What does it mean when a function is one-to-one?

Answers

Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.

What is 3.18 written as a rational?

Answers

Answer:

[tex]\frac{318}{100}[/tex]

Step-by-step explanation:

A rational number can be expressed as

[tex]\frac{a}{b}[/tex] ← where a and b are integers

The 8 in 3.18 is in the hundredths position, thus

3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number

Help me with Rational and Irrational!

Answers

Rational Numbers:  Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.

Irrational Numbers:  Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.

With this information, sort the given values into one of each of these categories.

Cheers.

A teacher would like to study how students' seating locations in the classroom affects their test scores. If he were
creating an experiment, which of the following are part of an appropriate experiment? SELECT ALL THAT APPLY.
A)He would choose a random sample of students from all of his classes to collect data,
B) He would track the test scores of certain students in their current seat locations, then move their seats and continue to track their
test scores
C) He would record students' test scores as well as their seat locations,
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E) He would follow one student's test scores and keep her seat the same the entire semester

Answers

Answer:

B, C, D, maybe A

Step-by-step explanation:

Two times the complement of an angle is 23 less than the supplementary of the angle. What is the measure of the angle?

Answers

Answer:

Step-by-step explanation:

Let the angles be x and y

If the two angles are complementary then their sum is 90 i.e x+y = 90

x = 90-y

If the two angles are supplementary, then their sum is 180 i.e x+y = 180

x = 180-y

If two times the complement of an angle is 23 less than the supplementary of the angle, this is written as;

2(90-y) = (180-y)-23

180-2y = 157-y

-2y+y = 157-180

-y = -23

y = 23

Hence the angle is 23°

Solve for x.

[tex]x + 6 - 2x = x - 24[/tex]

x = [?]​

Answers

Greetings from Brasil...

First degree equation. The variables are in the 1st member and the numbers in the 2nd member.

X + 6 - 2X = X - 24

X - 2X - X = - 24 - 6

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It rained 2 inches on Monday. On Tuesday, it rained 0.61 inches less than on Monday. How much did it rain on Tuesday?

Answers

Answer:

1.39 inches

Step-by-step explanation:

Answer:

1.39 inches

Step-by-step explanation:

2 - 0.69

= 1.39

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