Mathematics College

Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)

Answers

Answer 1

Answer:

9 km/h or 48 km/h

Step-by-step explanation:

Let the distance is d, speed is s

As per given we have:

d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4

Substitute d with 5s and solve for s:

36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/h

The original speed of grey wolf can be 9 km/h or 48 km/h

Related Questions

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!

An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.

A. What is the probability of getting a head and an even number?

B .What is the probability of getting a tail and the number 4?

D .What is the probability of getting a 5?

Answers

Answer:

Step-by-step explanation:

1. 1/2

2. 1/4

3. 1/8

(see picture) Find the measures of the numbered angles in each isosceles trapezoid.

Answers

1,365

I hope it’s correct please mark me :)

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4

Answers

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2

Chris said that a fraction equivalent to 9/12 is 3/6

Answers

Answer:

9/12 is equal to 3/4.

Step-by-step explanation:

9 and 12 can both be divided by 3. In the fraction, divide both the top and the bottom by 3 and you get 3/4.

9/12 simplified is 3/4.

I suspect where Chris went wrong was that he though 9 divided by 2 was 3. In reality, it's 4.5.

Maybe he went wrong because he accidentally divided 12 by 2 instead of 3.

The fraction 9/12 and 3/6 are not equivalent as 91/2 is 3/4.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Chris said that a fraction equivalent to 9/12 is 3/6.

We know we write fractions in the simplest form.

Now, In the fraction 9/12 we can factor out 3 to both the numerator and the denominator.

Therefore, The fraction 9/12 is equivalent to 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

TRUE OR FALSE LOOK THE PHOTO

Answers

Answer:

False

Step-by-step explanation:

3 and 6 are alternating interior angles. If A and B were parallel, Angle3 would be equal to (180 - Angle6). Because the question indicated that they're congruent, the two lines are not parallel.

what happens to the graph of y = |x| when the equation changes to y |x-9|?

Answers

Answer: The graph will move 9 spaces to the right.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

90 degrees c

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Also can you give me brainlist???

Answer:

90 degrees celsius

can you help me with this??

Answers

9514 1404 393

Answer:

relative maxima: x=-3, +1relative minima: x=-1, +5

Step-by-step explanation:

The relative maxima are the peaks, the highest points. There are two of them. One is to the left of the y-axis at about x=-3; the other is to the right of the y-axis at about x=1.

The relative minima are the valleys, the lowest points. There are two of those, also. One is to the left of the y-axis at about x=-1; the other is to the right of the y-axis at about x=5.

relative maxima: x=-3, +1relative minima: x=-1, +5

. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?

Answers

Answer:

Step-by-step explanation:

line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye

Help me answer these

Answers

Step-by-step explanation:

y=-2X2 -2X +4

Answer: I answered it it's C

it’s C but you can use Photomath

Help with this question, please

Answers

Answer:

I'm pretty sure 32 but I could be wrong

Step-by-step explanation:

I'm sorry if it's wrong

which of the following is a polynomial?

Answers

Answer:

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

Hope this helps!

How many people ordered beer?

*it is not 15

Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

The value of [-10] is?
A.11
B.-10
C.-9

Answers

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

Answer:

b. -10

Step-by-step explanation:

Proving triangles similar

Answers

Answer: SIDE ANGLE SIDE

PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80

Answers

If a supposed number is n (say) then the consecutive number is n+1
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78

Answer these questions please i need to pass my grade but i dont know this

Answers

Ok guys don’t worry I will help you

Here’s a pic

First you got to find the area which is length x width x height.

I can’t attach two papers sorry but here’s the bottom

A Box Contain 2 yellow and 3 blue
Cards in how many ways Can 3 Cards
be selected if
(a) If at least 1 card must be yellow
(b) If at least 1 Card must be blue

pls show your Woking

Answers

Answer:

2/5= yellow

3/5= blue

Step-by-step explanation:

total cards= 2(yellow) + 3 (blue)

=5 cards total

probability for drawing yellow card= 2/5

probability for drawing blue card= 3/5

Step-by-step explanation:

a)2:5

2/5x100=40%

b)3:5

3/5x100=60%

i don't what U want so, I hope it'll help U

stream hala hala by ateez bye

Answers

stream on the ground and gone by rosé bye

giving brainliest !!
answer asap

Answers

Answer:

352 in squared

Step-by-step explanation:

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1

2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104

=352

C In circle K, segment is tangent to the circle at point A. If the radius of the circle has a length of 5 units and the tangent has a length of 12 units, then what is the length of ?

Answers

The length of segment BC is approximately 10.92 units.

To find the length of segment BC, we can use the properties of a tangent to a circle.

In a circle, a tangent is perpendicular to the radius drawn to the point of tangency. Therefore, triangle ABC is a right triangle with AB as the hypotenuse.

Given that the radius of the circle is 5 units and the tangent AB has a length of 12 units, we can apply the Pythagorean theorem to find the length of segment BC.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).

Applying the theorem to triangle ABC:

AB^2 = BC^2 + AC^2.

Substituting the given values:

12^2 = BC^2 + 5^2.

144 = BC^2 + 25.

Rearranging the equation:

BC^2 = 144 - 25.

BC^2 = 119.

Taking the square root of both sides:

BC = √119.

Therefore, the length of segment BC is approximately equal to √119 units.

Since it's not possible to represent the square root of 119 exactly as a whole number or fraction, we can leave the answer as √119 or approximate it as a decimal. The decimal approximation for √119 is approximately 10.92.

For more such question on segment. visit :

https://brainly.com/question/28322552

#SPJ8

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

is my answer correct?

Answers

Answer:

yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer

Help please question in the picture

Answers

The correct answer is A.

The area of the square with a side length of 19 meters is 361 square meters.

To determine the area of a square, you multiply the length of one side by itself.

In this case, the side length is given as 19 meters.

To calculate the area of a square, you can use the formula:

Area = side length × side length

Area = 19 meters × 19 meters

Area = 361 square meters

So, the area of the square with a side length of 19 meters is 361 square meters.

For such more questions on area

https://brainly.com/question/25292087

#SPJ8

find the inverse of y=0.3x

Answers

Answer:The inverse is 3.3x

Step-by-step explanation:

Answer:

x times 10

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

Step-by-step explanation:

A function g is the incerse of function f if y=f(x), x=g(y)

If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.

Answers

20% of $250 is $50
So $300

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

find the value of x

HELP pls .

Answers

Answer:

31°

Step-by-step explanation:

The total triangle is 180°

Subtract 180-(33+116)

What is the factored form of this polynomial? x2 + 5x − 36
A. (x + 4)(x + 9)
B. (x − 4)(x − 9)
C. (x − 5)(x + 8)
D. (x − 4)(x + 9)

Answers

Answer:

D. (x - 4)(x + 9)

Step-by-step explanation:

x2+5x−36

[think of numbers that add together to get 5 and multiply together to get -36!]

-4 + 9 = 5

-4 * 9 = -36

hope this helped! :]

Answer:

D: ( x - 4 ) ( x + 9 )

Step-by-step explanation:

By multipling the two friction :

x2 + 9x - 4x - 36

= x2 + 5x - 36

7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51

Answers

Answer:

B. -27

Step-by-step explanation:

7*-5= -35 6*2 = 12 . t= 4

-35 + 12 = -23

-23 - 4 = -27

Answer: B. -27

Step-by-step explanation:

7(-5) + 6(2) - 4

-35 + 12 - 4

-23 - 4

= -27

Other Questions

1. Name 8 different groups who had control ofan area in Western Europe immediately after-the "fall of the Western Roman Empire. 54 out of the 72 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in The meeting were first-year Teachers? Which expression represents the area of the shaded region?(picture below) f(x) = 0.5x -6 evaluate f (3) = solve 12 fast pleaseQuestion 12 The asset's book value is determined by deducting the residual value from its original cost. O True O False 1. Formulate an algebraic model for the problem. 2. Use LINGO to solve this model. 3. State the solution in words. A restaurant opens at 7 a.m.each day,and stays open until 2:59 a.m.the next morning Their food service employees work two four-hour shifts per day. For some workers,the two shifts are consecutive effectively one eight-hour shift),but other workers work split shifts,with a four hour gap between their shifts. All food service workers earn a base rate of $14 per hour.In addition,there is a bonus of $12 paid to each person who works on a split-shift. The restaurant has the following daily requirements: Shift Minimum Number Index Time of Day of Workers Needed 1 7 a.m.to 10:59 a.m. 15 2 11:00 a.m.to2:59p.m. 23 3 3:00 p.m.to6:59 p.m. 11 4 7:00 p.m.to 10:59 p.m. 25 5 11:00p.m.to2:59a.m. 6 Subject to meeting all its requirements for workers,the restaurant wishes to minimize its daily labour cost (regular and bonus).Formulate the model so that the $14 and the $12 are entered only once. Use the graph below to make a rough estimate for the slope m and the y-intercept b of the regression line for these points. Click on the magnifying-glass icon at the bottom right corner of the graph to see and enlarged version. pls help i really really need it, the question is on the picturewill mark the brain thing#LLJW Water at = 0.02 kg/s and T-20C enters an annular region formed by an inner tube of diameter D,- 25 mm and an outer tube of diameter D-100 mm. Saturated steam flows through the inner tube, maintaining its sur- face at a uniform temperature of T, = 100C. while the outer surface of the outer tube is well insulated. If fully developed conditions may be assumed throughout the annulus, how long must the system be to provide an out- let water temperature of 75C? What is the heat flux from the inner tube at the outlet? 1. Define physical change.2. What are some examples of physical change?3. The wood in the Figure below is being cut with a chainsaw. Is this a physical change?Why or why not? What is one way that people can harm the environment? Trees provide shade from the sun for humans and animals.Trees provide oxygen for humans and animals to breathe.Trees provide furniture like tables and chairs to use.Trees are beautiful to look at in parks and forests. 1. What is the value of the AMPLITUDE for WAVE A?2. What is the value of the WAVELENGTH for WAVE A? What is the unique role of the Georgia State Supreme Court? It evaluates the rulings of lower court. It makes decisions in civil court cases. It offers rulings on criminal court cases. It assesses the constitutionality of laws. (Present value) What is the present value of the following future amounts? a. $800 to be received 10 years from now discounted back to the present at 10 percent b. $300 to be received 5 years from now discounted back to the present at 5 percent c. $1,000 to be received 8 years from now discounted back to the present at 3 percent d. $1,000 to be received 8 years from now discounted back to the present at 20 percent greta has experienced severe major depressive disorder for the past three years. she calls her primary care physician complaining of stomach pains. her pcp explains that her depression and stress are probably the cause of her symptoms. he tells greta she does not need to be seen for an evaluation and to instead speak with her therapist. what has just occurred? Define Neutralisation reaction along with examples. (a) Consideration can be defined as "something of value in the eyes of the law", but consideration is not a critical factor factor to any contractual obligations and as such, it has to be ignored in any contract.Critically discuss this statement, with the following requirements;1. Five (5) applicable case laws on the subject matter.2. State clearly The issue Basic facts of the Cases The Judgement What is the value of x? Show me how you got your answer. Suppose the moral dilemma of "The Book of Martha" remained the same, but the theme was that people should collaborate on difficult decisions. What would Martha mostly likely do that would shape this alternate theme? A. She would refuse to make a decision and ask God to choose another person. B. She would consider how her ideas on population growth would affect others. C.She would ask to return home and talk with others about whether her experiences were real. D. She would ask God to choose other people to work with to make a decision. A local grocery store stocks packages of plain M&M's and packages of peanut M&M's. The ratio of the number of packages of peanut M&M's to the total number of packages on the shelf was 8 to 18.Which number could be the number of packages of plain M&M's on the shelf?