A dragon is given 630 ounces of magical potion to sustain her journey from Arlandia to Gargandua. While flying 4/7 of the distance, she drinks 2/9 of the potion. Suppose she continues to drink the magical potion at this rate for the remainder of her journey. How much potion remains when she reaches Gargandua?

Can someone help me with this question? I can't even start!
P.S. Answering this question will give you the highest credit!

Answers

Answer 1

Step-by-step explanation:

4/7 of distance = 2/9 of potion

=> 7/7 of distance = 2/9 * (7/4) = 7/18 of potion.

The dragon has used 7/18 of the potion for the journey, and only have 11/18 of it left.

Amount left = 630 ounces * 11/18 = 385 ounces.


Related Questions

2 sides equations

1. 15x-8x= 5x +48

2. 4-2y= 4y

3. 4-5x= 3+x

4. 2x+8=2x-5

5. 4y+9= 4y+9

Answers

Answer:

15x-8x-5x=48

3x=48

or X=16

4=4y+2y

or 4= 6y

or 4/6=y

or y=2/3

4-5x= 3x

or 4=5x+3x

or 4=8x

or 4/8=X

or X=2

2x=2x-5+8

or,2x= 2x-13

or 2x+2x=13

or 4x=13

or X= 13/4

or X =3.25

4y=4y+9-9

or 4y=4y+0

or 4y-4y=0

or 0=0

X=number of hours
Y=number of tents made

X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14

What is the slope? What does it represent?

Answers

Given:

X=number of hours

Y=number of tents made

Table of value.

To find:

The slope and its interpretation.

Solution:

Consider any two points from the table, i.e., (0,6) and (1,7).

The slope is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-6}{1-0}[/tex]

[tex]m=\dfrac{1}{1}[/tex]

[tex]m=1[/tex]

Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.

A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.

Answers

Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

Learn more about the function here:

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Find the value of k so that the remainder is -26 for
(x^4+kx^3-7x^2 +8x-10)+(x+4).

Answers


578 because yea yea yea yea yea

3 divided by 1/2
What’s the answer

Answers

Answer:

I think its 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Hey there! If you have any questions feel free to leave them in the comments below

3 ÷ [tex]\frac{1}{2}[/tex] = 6

You should flip the reciprocal and then multiply it by 3. 3 * 2 would = 6.

~I hope I helped you :)~

how much of the other juice will be left over?​

Answers

Hot dog juice is the best. There will not be any hot dog juice left over because I drank it all. Hot dog, Hot dog, Hot diggity dog!

How can you get the sugar out of the sweet tea?​

Answers

Answer:

use the thingy with the holes I guess

Fred is making a fruit salad. The ratio of cups of peaches to cups of cherries is 2 to 3. How many cups of peaches will Fred need to make 60 cups of fruit salad? PLEASE GIVE A STEP BY STEP WAY TO FIND THE SOLUTION

Answers

Answer:

24 cups

Step-by-step explanation:

To find the amount of peaches in a fruit salad, you would multiply the cups of salad by 2/5 because 2 cups of peaches are dedicated to the fruit salad for every 3 cups of cherries, having the peaches make up 2 out of every 5 cups or 2/5. So the equation would be 60=0.4x, with x being the cups of peaches.

Answer:

40 Cups

Step-by-step explanation:

The number we want is 2/3 of 60. We need to multiply 2/3 by 60 which is 40. 40/60 is the new ratio of peaches to cherries, which is still 2/3. This way, we know we did it correctly.

What is the distance formula?

Answers

Answer:

B

Step-by-step explanation:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

d  = distance

(x1, y1) = coordinates of the first point

(x2, y2) = coordinates of the second point

Stefan sells Jin a bicycle for ​$115 and a helmet for ​$16. The total cost for Jin is ​%110 of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

The answer is below

Step-by-step explanation:

a)

Amount Stefan sold the bicycle and helmet to Jin = cost of bicycle + cost of helmet = $115 + $16 = $131

This amount that Jin bought both bicycle and helmet is 110% of what Stefan spent originally to buy the bike and helmet.

Let x = what Stefan spent originally to buy the bike and helmet = original price. Hence:

110% of x = $131

(110 / 100) * x = 131

1.1x = 131

x = $119.09

b)

Hence the profit made from selling the bike = $131 - $119.09 = $11.91

The table shows test scores for six students. Do the data show a positive or a negative correlation? Can the data be used to show causation?

Answers

It does show a positive correlation and yes the data can be used because they are increasing as you go right.

the correlation between years of education and salary in a sample of 20 people from a certain company is .4. is this correlation statistically significant.

Answers

Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept [tex]H_o[/tex] hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance [tex]\alpha =0.05[/tex]

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by [tex]H_o : p=0[/tex]

alternative hypothesis [tex]H1_1 : p\neq 0[/tex]

generaly the mathematical representation of test statics

        [tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]

        [tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]

        [tex]t= 1.85[/tex]

Generally for table the p value is given by [tex]p= 0.08056[/tex]

p value > the null hypothesis

Therefore

We accept [tex]H_o[/tex] hence no significant  evidence

hirokis goal is to collect $40 for a school fundraiser

Answers

Answer:

is there more?

Step-by-step explanation:

Answer:

40-26.50=m

Step-by-step explanation:

Cause im doing it right now and i got it right

Select the correct answer from each drop-down menu. Quadrilateral ABCD is translated 7 units down and 2 units to the right. The length of side AB of the original quadrilateral is units. After the translation, the length of side AB will .

Answers

Answer:

select the correct answer from each drop-down menu. quadrilateral abcd is translated 7 units down and 2 units to the right. the length of side ab of the original quadrilateral is units. after the translation, the length of side ab will .

Peng bought 26 treadmills for her new fitness center at $1,334 each. Then, she bought 19 stationary bikes for $749 each. How much did she spend on her new equipment? Write an expression, and then solve.

Answers

Answer:

(26 x $1,334) + ( 19 x $ 749) = $48,915

Step-by-step explanation:

All together she spent $45,915. She spent $34, 684 on treadmills and $14,231 on Stationary bikes.

hope this helps. If it does please mark me the brianliest!

Peace and Love

a bus traveled 60 km of north of its terminal. From this point, it traveled km east. How far is the bus from the terminal?

Answers

maybe 61km from northeast

Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.

Answers

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

What is inequality?

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

To solve more questions on inequality, visit the link below

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Figure VWYX is a kite.

Kite V W Y X is shown. Sides V W and W Y are congruent, and sides V X and Y X are congruent. Angles V and Y are right angles. Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

What is the measure of angle VXY?

72o
74o
106o
108o

Answers

Answer:

B 74

Step-by-step explanation:

right on edge

The solution is, The value of x is 6.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have.

given that,

Figure VWYX is a kite.

Sides V W and W Y are congruent, and sides V X and Y X are congruent.

Angles V and Y are right angles.

Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

The total of angles in any quadrilateral is 360°.

Angles V and Y are 90° each,

so the total of W and X must be 180°.

we have,

 (18x -2) +(12x +2) = 180

 30x = 180

 x = 180/30

    = 6

The value of x is 6.

To learn more on simplification click:

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What times what gives you 5700?

Answers

Answer:

57 × 10 will give you 5700, as well as 285 × 20.

Marla made an error when solving the equation shown. What was her error ,and how should she fix it?

Answers

In Step 1, she used the Distributive Property incorrectly. She should have distributed the 3 to the 2. The equation should have been

3x + 6 + 1 = 24.

A certain forest covers an area of 4000km squared. Suppose that each year this area decreases by 3.75percent. What will the area be after 14 years

Answers

Answer:

After 14 years, the area will be 2342.4 km squared.

Step-by-step explanation:

Since the area is decreasing, we can use the decaying exponential function

[tex]y = A(1 - r)^{t}[/tex]

where

A represents the initial area.r represents the rate at which the area changest is the time period

Given

Initial Area A = 4000 km squared

Rate r = 3.75% = 3.75/100 = 0.0375

Time period t = 14

To Determine

The Area after 14 years = y = ?

Plug in the values in the formula

[tex]y = A(1 - r)^{t}[/tex]

[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]

[tex]y=4000\cdot \:0.9625^{14}[/tex]

[tex]y=2342.4[/tex] km squared

Therefore, after 14 years, the area will be 2342.4 km squared.

Identify the correct logical reason for the next step in solving this equation

Answers

Answer:

Distributive property of equality

Step-by-step explanation:

The first thing to do in an equation is to distribute.

Answer:

Distributive property of equality

Step-by-step explanation:

Is this good led me know pl
Give GHJ=XJZ find each missing measure

Answers

Answer/Step-by-step explanation:

Given that ∆GHJ is congruent to ∆XYZ, this:

<G = <X,

<H = <Y = 38°

<J = <Z,

GH = XY = 27 ft

HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)

GJ = XZ = 18 ft

a. GJ = 18 ft

b. XY = 27 ft

c. ZY = 27 ft

d. m<H = m<Y (corresponding angles)

m<H = 38° (substitution)

e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)

m<Z = 142/2

m<Z = 71°

f. m<J = m<Z (corresponding angles)

m<J = 71° (substitution)

PLEASE I NEED HELP WITH THE MATH HOMEWORK. I NEED EXPLANATION TOO!!

QUESTION: find the value of the varible

Answers

Answer:

Step-by-step explanation:

A+B+C=180

2x+x+90=180    ( the 90 comes from the right angle in the given triangle)

3x=90

x=30°

:) these are all kinda the same strategy.. notice?

Perform the indicated operation. (2x + y)^2

Answers

Answer: 2x^2 + y^2

Hope this helps :)

ANYONE PLEASE THIS IS DUE IN 2 HOURS !

Answers

Answer:

I think 21

Step-by-step explanation:

hi im 29 yrs of age and just going back to school torecieve my hs diploma.i have 2 subjects left which is math and writing.im having a problem with adding fractions.one of the math problems are 3 1/7 + 6 4/7 i came up with 9 5/7 but im not sure this is correct

Answers

Answer:

yup your answer is correct

Step-by-step explanation:

xhfdgkdhkchkdgjdgkfkyfgkfhg

Answer:

it's correct and i'm 13

if u add the whole numbers first which is 3+6 which equals 9 and then u add 1/7 + 4/7 which will give you 5/7. So the whole answer will be what you said 9 5/7

I REALLY NEED HELP!!!!!!!!!!!!

Answers

Answer: 64 centimeters squared.

Step-by-step explanation: This shape is a parallelogram. And the area of a parallelogram is just the base multiplied by the height. Here, the base is 10 cm and the height is 7 cm. So you might think the the area is just 70 centimeters squared. But here's the catch. There is a rectangular region in this parallelogram that is not shaded. But you can still easily solve this problem. All you need to do is find the area of that rectangular region and you already know the length and the width of this region. And, remember, the area of a rectangle is just the length and the width multiplied. So here, the area of that rectangular region is just 2 cm multiplied by 3 cm. Which will give you 6 centimeters squared. Now, all that's left to do is subtract the area of that rectangular region, 6 centimeters squared, from the total area of the parallelogram, 70 centimeters squared. And that should give you 64 centimeters squared as your final answer. I really hope this makes sense and is helpful.

a. The ratio between the lengths of two
pieces of lumber is 2:3. The longer piece is
21 ft long. How long is the shorter piece?




Help me please

Answers

Answer:

14 feet

Step-by-step explanation:

Let the shorter piece have length x.

Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.

Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.

Thus, the shorter piece is 14 feet.

I hope this helps! :)

the shorter piece is 14ft long

Step-by-step explanation:

let the shorter piece be x

longer piece will be x:21

ratio of two pieces= 2:3

2:3=x:21

2/3=X/21

then cross multiply

21×2=3x

42/3=3x/3

X=14

2:3=14:21

hope it helps

PLZ PLZ PLZ HELP ME I AM TIMEDDDDDDDDDDDDDDDDDDDDDDDD

Answers

Answer:

The answer is A

Step-by-step explanation:

If you look at the bottom it is near -6 so if you reflect it it would be at 6 but it was 2 units down at 4

Answer:

its the last one

Step-by-step explanation:

the shape is across the x axis so you don't do 2 or 3 then you do it and it is 2 units different not 1 so it is the last one

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