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

-9y + 5x - y - 13x
Like terms

Answers

Answer:

Step-by-step explanation:

like terms=-9y-y

and 5x-13x

like terms means terms with same variables

-10y-8x or -8x-10y either way is correct good luck!!!

Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B.

Answers

Answer:

The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;

1) A translation of 8 blocks to the right followed by  2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise

Step-by-step explanation:

Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.

Find the value of x. [Picture below]

Answers

Answer:

56

Step-by-step explanation:

Answer:

56 degrees.

Step-by-step explanation:

a circle is 360 degrees, so 1/2=180 degrees.

all you have to do is take the other degrees, minus them from 180 and you have your answer

Solve the equation, and check your solution.
-3/5n = -9

Answers

Answer:

-15 = n

Step-by-step explanation:

Use order of Operations to simplify the following: 4² - (28÷7) + 111

Answers

Answer:

123

Step-by-step explanation:

If the answer is wrong please let me know so I can fix it!!! Have a Great Day :)

Answer:

123

Step-by-step explanation:

16-4+111

12+111

=123

Overnight, the temperature in Mayville was – 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added – 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?

Answers

Answer:

She is correct. If you add 11 degrees to -4 degrees, you get 7 degrees.

Step-by-step explanation:

-4 + 11 = 7

It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?

Answers

4

12 divided by 3 is 4

Corinne do 4 pages homework in one hour.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Corinne take 3 hours to do 12 pages of homework.

Since, We have;

Corinne take 3 hours to do 12 pages of homework.

Hence, In 1 hour, Number of pages = 12 / 3

                                                       = 4

Learn more about the divide visit:

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7 + 8p - 27
terms ?
coefficients ?

Answers

Answer:

Terms: 7, 8p, -27

Coefficients: 8

Step-by-step explanation:

1. A term is a constant, a variable, or a product of a constant and variable. Therefore, 7, 8p, and -27 are terms.

2. A coefficient is a number that is in front of a variable like 8 in front of p.

What is the quotient of -20 and (-5)?

Answers

The answer to this would be 10

4

Step-by-step explanation:

write a two column-proof

Answers

Answer:

1. number each step

2. start with the given informatiom

3. statements with the same reason can be combined into one step

4. draw a picture and mark it with the given information

5. you must have a reason for every statement

6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense

The box plot is based on the?
mean
median
mode
range

Answers

PLEASE GIVE BRAINLIST

By reading this ithink the answer is B=median

A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles. Minimum : the lowest data point excluding any outliers.

hope this helped

20 POINTS
Rewrite the following equation in the center-radius form of the equation of a circle.
x2 + 16x + y2 + 18y = -120

A.
(x + 8)2 + (y + 10)2 = 25
B.
(x + 10)2 + (y + 8)2 = 25
C.
(x - 9)2 + (y - 8)2 = 25
D.
(x + 8)2 + (y + 9)2 = 25

Answers

Answer:

Substitute (x+4)2−16 ( x + 4 ) 2 - 16 for x2+8x x 2 + 8 x in the equation x2+y2+8x−6y=24 x 2 + y 2 + 8 x - 6 y = 24 . (x+4)2−16+y2−6y=24 ( x + 4 ) 2 - 16 + y 2 ...

Step-by-step explanation:

Answer:

your answer would be C

Step-by-step explanation:

12 people can comfortably fit in a 4x4 foot square. Use this value to estimate the size of a crowd that is 10 feet deep on both sides of street along a 2 mile section of a parade route

Answers

hope this helps you out if i doesnt just comment and ill see what i can do

Seven more than the quotient of a number and 2
(Algebraic expression)

Answers

Answer:

(x ÷ 2) + 7

Step-by-step explanation:

A quotient is the answer to a division problem...

So.... Let's say "a number" is x

(x ÷ 2) + 7 = Seven more than the quotient of a number and 2

That should be the answer!

Please mark Brainliest!!! =D

If b is the midpoint of line AC, and AC = 8x-20, find BC.​

Answers

The Definition Of a Midpoint says that is B is the

midpoint of segment AC, then segment AB ≅ AC.

Since segment AB ≅ segment BC, we can setup

the equation 2(3x - 1) = 8x - 20 and we can solve from here.

Start by distributing the 3 through the parenthses on the left side.

So we get 6x - 2 = 8x - 20.

Now subtract 8x from both sides to get -2x - 2 = -20.

Now add 2 to both sides and we have -2x = -18.

Finally, dividing both sides by -2, we find that x = 9.

If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.

if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___​

Answers

Step-by-step explanation:

F(g(x)) = -10x-13

First blank: -10

Second blank: -13

What the unit rate for this? “9 inches of snow in 3 hous”

Answers

Answer:

3 inches per hour

Step-by-step explanation:

divide the number on the y axis (i'm assuming it's inches of snow) by the number on the x axis (i'm assuming its hours)

by doing this you will get 3 inches per hour

Boxes of tinned cat food are delivered to a shop. There are 28 boxes and in each box there are 16 tins how much is there all together ??

Answers

Answer:

448

Step-by-step explanation:

You just need to multiply 28 by 16

Gertrude has 71.502 ounces of butter. How many ounces of butter does she have, rounded to the nearest hundredth?​

Answers

Answer:

71.500

Step-by-step explanation:

502 is closer to 500 than 600.

Answer:

71.50

Step-by-step explanation:

This is because 2 is not up to 5, so it can't be turned into 1 and be added to 0.

Solve for x.

[tex] - 36 + 7x = 76 - x[/tex]

x = [?]​

Answers

Answer:

Hey there!

-36+7x=76-x

-36+8x=76

112=8x

x=14

Let me know if this helps :)

which following statements are true? 11.5=11.05, 17.18 2.48

Answers

Answer:

Step-by-step explanation:

11.5=11.5

your order 4 fish tacos and a hamburger. The cost of the hamburger is $2.50. Your total bill before tax is $14.30. Write and solve an equation to find the cost a fish sandwich

Answers

Answer:

$2.95

Step-by-step explanation:

Step 1:

( $14.30 - $2.50 ) ÷ 4

Step 2:

$11.80 ÷ 4

Answer:

$2.95

Hope This Helps :)

fish tacos?

Step-by-step explanation:

4x-2.50=14.30

14.30-2.50=11.80

11.80/4= $2.95

each taco is 2.95

check your answer

$2.95*4= $11.80

11.80+2.50= 14.30

ITS BEEN AN HOUR LS ILL GIVE BRAINLITST

Answers

Answer:

38.81%

Step-by-step explanation:

Circle area = п r ²

п = 3.14

r = 4 cm

Circle area = 3.14 * (4cm)²

Circle area = 3.14* 16cm²

Circle area = 50.24cm²

Triangle area = (heigth*width)/2

heigth = 2.5 + 4 = 6.5cm

width = 3 + 3 = 6cm

triangle area = (6.5cm*6cm)/2

triangle area = 39cm²/2

triangle area = 19.5cm²

then:

the probability that a randonly select point whitin the circle falls in the shaded area is:

19.5/50.24 = 0.3881     (aprox)

0.3881*100 = 38.81%

When a snack bar opens, the cash register contains at least 50 dollars in $1 and $5 bills. Which of these inequalities represents this situation, where x is the number of $1 bills and y is the number of $5 bills?

Answers

Answer:x + 5y is greater than or equal too $50

Step-by-step explanation:

If x is equal to the amount of $1 then there is no need for a coefficient. Being that y is represented as $5 there needs to be a coefficient of because it’s five dollars times however many you have. Then it is greater than or equal to $50 because the problem states there is at least $50 in the register.

5. Tinh Tran is a physical therapist. He earns $49,830 a year and is
single with no dependents. The state income tax rate is 5% of
taxable income. What amount is withheld from his biweekly
pay for state income tax?

Answers

Answer:

2491.50$ oooooooooooooooooooooooo

The amount withheld from his biweekly pay for state income tax is $2491.5.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that the physical therapist earns $49,830 a year and is single with no dependents.

To determine the amount withheld from his biweekly pay for state income tax.

Since the state income tax rate is 5% of taxable income.

So the amount withheld from his biweekly pay for state income tax as:

⇒ 5 % of 49,830

⇒ (5/100)49,830

⇒ (0.05)49,830

⇒ 2491.50

Therefore, the amount withheld from his biweekly pay for state income tax is $2491.5.

Learn more about the percentages here:

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Rewrite as a
simplified fraction.
_
0.1 = ?

Answers

Answer:

1/10

Step-by-step

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?**

Answers

Answer:
The new position of submarine is 550 feet below the sea level.
Given:
A submarine is located at 800 feet below sea level (i.e) if x is considered as the sea level, then it is located at x - 800. The submarine ascends 250 feet, (i.e) its new position is increased by 250 feet from its previous position, then its new position becomes 800 - 250 = 550 feet. Hence the new position of submarine is located at 550 feet below sea level, x.

Answer:

650

Step-by-step explanation:

800-250=650

It's like taking a negative number and adding a positive number to it

WILL GIVE BRAINLIEST!!!!!!!!! SOLVE FOR X

Answers

Answer:

15 i think good luck

Step-by-step explanation:

Answer:

15°

Step-by-step explanation:

m<B: Supplementary: 180°-110°=70°

Triangles have an inner angle of 180°. Using this, you can then do:

180°-70°-(30°+20°)=60°

3x+x=60°

4x=60°

x=15°

solve quickly please

Answers

Answer:

44

Step-by-step explanation:

3x-5+x+1=180 [linear pair]

4x-4=180

4x=176

x=44

If a line contains the point (0,-1) and has a slope of 2 what point is on the line A.(2,1) B.(1,1) C.(0,1)

Answers

Answer: B. (1,1)

Step-by-step explanation: If you find slope with the points (0,-1) and (1,1) you will get a slope of 2.

the formula you can use is y2-y1/x2-x1

substitute the values with the 2 points i mentioned

1-(-1)=2

1-0=1

divide 2/1

and you get 2

So B, (1,1) would be your answer.

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