A princess has two pet dragons. The dragons can eat 300kg of chocolate in 12 days. How many days will the same 300kg last if got 4 more dragons for her birthday?

Answers

Answer 1

The same 300kg of chocolate will last 4 days when the princess got 4 more dragons for her birthday, and she already had two pet dragons.

This was a work-time problem where the eating of chocolate was the work, the days showed the time, and the dragons were the workers, all equally efficient.

How are the work and time problems solved?

To solve work and time problems, we generally try to calculate the work done in 1 day by 1 person and then try to calculate work and time accordingly to the question.

How to solve the question?

In the question, we are informed that a princess has two pet dragons who can eat 300kg of chocolate in 12 days.

We are asked to find the number of days it will take the dragons to eat 300kg of chocolate if the princess got 4 more dragons for her birthday.

We are given that 2 dragons eat 300kg of chocolate in 12 days.

Therefore, 1 dragon eats 150kg of chocolate in 12 days.

Therefore, 1 dragon eats 150/12 kg of chocolate in 1 day.

Now, in the new case, the princess has got 2 + 4 = 6 dragons.

Therefore, the amount of chocolate that 6 dragons will it together in 1 day = (150/12)*6 = 75kg.

Therefore, 300kg of chocolate will last 300/75 days when the princess will have 6 dragons, that is, 4 days.

Therefore, the same 300kg of chocolate will last 4 days when the princess got 4 more dragons for her birthday, and she already had two pet dragons.

This was a work-time problem where the eating of chocolate was the work, the days showed the time, and the dragons were the workers, all equally efficient.

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Related Questions

What goes into the boxes

Answers

Answer:

See explanation

Step-by-step explanation:

$6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}$

Function and notaion.

Answers

Answer: 45

Step-by-step explanation:

Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5

$f(-5)=2(-5)^{2} -5$

$f(-5)= 2(25) -5$

$f(-5) = 50-5$

$f(-5) = 45$

The graphs below have the same shape. What is the equation of the red
graph?

Answers

The equation of the red graph is g ( x ) = 1 - x ².

How to find the equation for a quadratic graph ?

To find the equation for a quadratic graph, you need to know the coordinates of three points on the graph. Once you have these coordinates, you can use them to write the equation in standard form. In this case, you can find the equation based on the equation of the blue graph.

All of the lines on the blue graph cross 4 on the graph. The only difference is that they all passed through number one. In order to make the blue line's equation represent the redline, you should substitute a 1 for the number 4 there.

This gives :

g ( x ) = 1 - x ²

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The graphs below have the same shape. What is the equation of the redgraph?

F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.

Answers

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Luke made cookies he used 1/2 of a cup of flour and 2/5 of cup of sugar. How much more flour than sugar did Luke use

Answers

Answer:

1/10

Step-by-step explanation:

2/5 a cup of sugar

1/2 a cup of flour

-Convert to 10ths:

4/10 of sugar, and 5/10 of flour.

Luke used 1/10 more flour than sugar.

if x varies directly as y,write a formula connecting x and y y.use k as a constant of variaton.

Answers

x = ky

Here, x varies directly as y and k is the constant of variation, so x is equal to k multiplied by y

Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?

Answers

According to the statement, the Ship must move at an average pace of 150 meters per hour.

Is Downhill unfavorable?

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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What equation is graphed?
10
8
6
SK
-10-8-8/ 2 4 6 8 10
-8
-10
16
9
=1
=1
po

Answers

first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

$\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}$

M(3,-4) is the midpoint between R(x,y) and S(6,0). Find the coordinates of R

Answers

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

The population of a town increased from 3700 in 2005 to 5900 in 2009. Find the absolute and relative (percent) increase.

Absolute increase:

Relative increase:
%

Answers

The absolute increase in population is 2200, and the relative increase is approximately 59.46%.

To find the absolute and relative increase in population, we can use the following formulas:

Absolute increase = Final value - Initial value

Relative increase = (Absolute increase / Initial value) * 100%

Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:

Absolute increase = 5900 - 3700 = 2200

To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:

Relative increase = (2200 / 3700) * 100% ≈ 59.46%

Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.

The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.

Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.

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What is one over two to the fifth power?

Answers

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

8/10-2/6 subtracting fraction with unlike denominators

Answers

We have the following general rule for the substraction of fractions:

$\begin{gathered} \frac{a}{b}-\frac{c}{d}=\frac{a\cdot d-b\cdot c}{b\cdot d} \\ b,d\ne0 \end{gathered}$

then, in this case we have the following:

$\frac{8}{10}-\frac{2}{6}=\frac{8\cdot6-10\cdot2}{10\cdot6}=\frac{48-20}{60}=\frac{28}{60}$

simplifying, we get:

$\frac{28}{60}=\frac{7}{15}$

therefore, the result of the substraction is 7/15

An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks, d, was 117ft. Use the formula s=24d−−−√ to find s, the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Answers

Answer:

The speed is 2808 ft/s

Step-by-step explanation:

step one:

In this problem we are expected to substitute the value of d in the expression for velocity given as

$s=24d$

step two:

Given that

d= 117 ft

Substituting the value for d in the given equation we have

$s= 24*117\\\\s=2808 ft/s$

The problem basically tests our ability to perform basic substitution operation which we have performed, should you have any question or doubt, kindly respond to this question

Answer:

Step-by-step explanation:

The amount of a same le remaining after T days is giving by the equation p(f)=a(1/2) T/h

Answers

Answer:

Step-by-step explanation:

if 6 people can walk 12 dogs, how many people are needed to walk 24 dogs

Answers

Answer:

12 people are need to walk 24 dogs

Step-by-step explanation:

12/2=6

24/2=12

Answer:

12 people can walk 24 dogs.

Step-by-step explanation:

Given information,

→ 6 people can walk 12 dogs.

→ People required for 24 dogs = ?

Let us assume that,

→ Missing value = p

Forming the equation,

→ 6/12 = p/24

Then the value of p will be,

→ 6/12 = p/24

→ p/24 = 6/12

→ p × 12 = 6 × 24

→ 12p = 144

→ p = 144/12

→ [ p = 12 ]

Hence, the value of p is 12.

(x+8)² find the product, please

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Quarry needs to ship a marble block weighing 10,000 pounds if the cost of shipping cost 110 per ton how much will it cost

Answers

Step-by-step explanation:

1 ton = 2,000 Pounds

110 x 5 = 550

You multiply by 5 because 2,000 x 5 = 10,000.

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

Hope that helped.

what happens to the value of the expression 5/x + 5 as x decreases froma large positive number to a small positive number

Answers

Answer:

The value increases

Step-by-step explanation:

the smaller the divisor, the larger the quotient.

let me know if you can see the expression if not I will just type it.

Answers

Answer:

-15x+24

Step-by-step explanation:

You can write that as:

$(-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24$

8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
A
E
60
X
C
D
10
40
B

Answers

Answer:

790

Step-by-step explanation:

7098uuilu4645

. A jeweler has 100 necklaces and bracelets to sell at a flea market. Bracelets are selling for $5.75 each, and necklaces are $8.50 each. If the jeweler makes $685.00 after selling all of the items, how many of each type of jewelry did the jeweler sell?

Answers

Answer:

there are total 60 bracelets and 40 necklaces.

Explanation:

let necklaces be x

let bracelets be y

make two equations from the given values:

x + y → 1005.75y + 8.50x → $685

solving steps:

x + y → 100

x → 100 - y

using substitution method:

5.75y + 8.5x → 685

5.75y + 8.5(100 - y) → 685

5.75y - 8.5y + 850 → 685

-2.75y → 685 - 850

-2.75y → -165

y → 60

Find x:

x + y → 100

x → 100 - 60

x → 40

Answer:

60 bracelets

40 necklaces

Step-by-step explanation:

Let n = number of necklaces sold

Let b = number of bracelets sold

Given:

Total number of items sold = 100

⇒ n + b = 100

Given:

Sale price of bracelet = $5.75Sale price of necklace = $8.50Total sales = $685

⇒ 5.75b + 8.5n = 685

Rewrite n + b = 100 to make b the subject, substitute into 5.75b + 8.5n = 685 and solve for n:

⇒ b = 100 - n

⇒ 5.75(100 - n) + 8.5n = 685

⇒ 575 - 5.75n + 8.5n = 685

⇒ 575 + 2.75n = 685

⇒ 2.75n = 110

⇒ n = 40

Substitute found value for n into n + b = 100 and solve for b:

⇒ 40 + b = 100

⇒ b = 60

4. What function represents how much more water can be added to the bucket before it
overflows? Explain how you solved this problem.

Answers

The function that represents how much more water can be added to the bucket before it overflows is given as follows:

c(x) = 6x³ + 3x² - 2x - 2.

How to define the function?

The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.

The functions in this problem are defined as follows:

f(x) = 8x³ + 4x² - 6x + 5.g(x) = 2x³ + x² - 4x + 7.

Then the capacity function is obtained as follows:

c(x) = f(x) - g(x)

c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)

Then the distributive property is applied to the negative sign as follows:

c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.

Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:

c(x) = 6x³ + 3x² - 2x - 2.

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Please help, I will give brain list.

Answers

Answer:

12.25

Step-by-step explanation:

3.5*3.5=12.25

Answer:

12.25m^2

Step-by-step explanation:

3 1/2 × 3 1/2

3 1/2 is equivalent to 7/2

7/2 × 7/2= 49/4

this simplifies to 12.25

answer: 12.25 m^2

If the length of the shorter arc AB is 22 cm and C is the centre of the circle then the circumference of the circle is :

Answers

Answer:

The circumference of the circle is 176cm

Step-by-step explanation:

Step 1.

Figure out how many of those segments would fit in a whole circle

360/45=8

Step 2.

We know that the length of AB is 22cm so we multiply that by the number of segments in a whole circle

22×8=176

Which statement is NOT true about Euclidean geometry?
F. The shortest distance between two points is a straight line.
G. Basic geometric elements are points, lines, and planes.
H. Parallel lines may intersect.
J. The sum of the measures of any triangle always equals 180 degree.

Answers

Answer: H. Parallel lines may intersect.

Step-by-step explanation:

By definition, parallel lines never intersect.

Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.

Answers

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity: