Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?

Answers

Answer 1

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer 2

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.


Related Questions

Each unit on the grid represents 2 kilometers. Find thedistance between Gabe's house and the library?

Answers

Answer:

8km

Step-by-step explanation:

there are 4 unit between Gabe's house and the library so distance is 4×2=8km

How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.

Answers

Answer:

it is 2, 4 and 6

Step-by-step explanation:

Seriously, somebody please help me! I've been asking all day, someone actually help me and not just halfassly answer it for points. ​

Answers

Answer:

9. A = Length by Width

Length = x

Width = 12x - 6y

A = x(12x - 6y)

A = 12x² - 6xy

10. A = ½bh

h = 2ab

A = ½(b)(2ab)

A = ab²

does someone know the answer?

Answers

Answer:

I think it is the last answer.

Step-by-step explanation:

There can only be one vertex.

The line graph shows the balance for a business on each day. How much more of a loss occurred on Friday than on Thursday?

A. $0
B. $2.50
C. $5
D. $10

Answers

Answer: this link will help you out

Step-by-step explanation:              https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/constructing-linear-models-real-world/v/word-problem-solving-4

A square dance floor has a perimeter of 120 yards.
What is the length of a diagonal of the dance floor?
O 38.3 yd
O 30 yd
O 60 yd
O 42.4 yd

Answers

=42.4 yd is the diagonal length of the dance floor

There are twenty books on a shelf. Ten of them are science books, two are social studies, seven are math, and one is reading. What is the probability of choosing a science book, replacing it and then choosing another science book?

Answers

Answer: 1/4

Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

3.14 units squared

Step-by-step explanation:

A = pi r^2

A = pi (1) ^2

A = pi = 3.14

(Radius = diameter / 2)

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

17 feet

Step-by-step explanation:

L² = 15² + 8² = 225 + 64 = 289

L = √289 = 17 feet

Answer:

do you need the area or the perimiter?

Write a polynomial of least degree with roots 2 and – 7

Answers

Answer: x^2+5x-14

Step-by-step explanation:

2 and -7 are the roots of the polynomial then we have to write them as

 x=2 ,x=-7

To convert these as factors, we have to write them as

(  x-2) (x+7)

The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.

x^2+7x-2x-14

x^2+5x-14

Number of factors  =  Highest exponent of the polynomial

Answer:

y = x² + 5x - 14

Step-by-step explanation:

Given roots x = a, x = b, then the corresponding factors are

(x - a) and (x - b) and the polynomial is the product of the factors

y = (x - a)(x - b)

Here the roots are x = 2 and x = - 7, then the factors are

(x - 2) and (x - (- 7)) = (x + 7), so

y = (x - 2)(x + 7) ← expand using FOIL

y = x² + 5x - 14

please answer this question if you are correct i will mark brainliest

Answers

Step-by-step explanation:

Since there are 4 people who answered that they had 0 number of scarves we put 4 0's in a set of numbers. Then we see that there are 2 people who have 1 scarf. so there are 2 1's and we keep on going down the line.

{0,0,0,0,1,1,2,3,3,4,5,5} there are 12 numbers here

so we add up all of them

1+1+2+3+3+4+5+5=24

then divide that number by 12 because that's how many numbers there are

24/12=2

The mean of the numbers is 2

Hope that helps :)

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

The guy on top of me is right I am just trying to give him more credit for his amazing answer

Matt tried to evaluate 49 x 24 using partial products. His work is shown below

Answers

Answer:

step 5

Step-by-step explanation:

Cierra is buying juice. She needs 5 liters. A half liter juice cost $2.86. A 250​-milliliter container of juice costs ​$1.05. What should Cierra buy so she gets 5 liters at the lowest price?

Answers

Answer: 250 mL Juice container

Step-by-step explanation:

Given

Half liter juice costs $2.86 i.e.

[tex]\dfrac{1}{2}\ L\rightarrow\$2.86\\\\1\ L\rightarrow\dfrac{2.86}{\frac{1}{2}}=\$5.72\\\\5\ L\rightarrow\$28.6[/tex]

A 250 mL juice costs $1.05 i.e.

[tex]250\ mL=0.25\ L\rightarrow \$1.05\\\\1\ L\rightarrow \dfrac{1.05}{0.25}=\$4.2\\\\\Rightarrow 5\ L\rightarrow \$21[/tex]

The cost of 250 mL Juice packet is low for 5 L quantity, therefore, Cierra must buy 250 mL Juice container

PLEASE HELP HARD FOR ME BUT EASY FOR OTHERS

Answers

The answer should be 72 degrees.
You add 31 and 39 first to get 70 degrees.
Then add 38 degrees because the angle in the lower corner is the same as one the would be placed to the right of the top two angles. 70 plus 38 equals 108 degrees.
Next you subtract 108 from 180 to get the answer for x. That gives you 73 degrees.

PLS HELP ME PLS ACTUALLY PUT AN ANSWER

Answers

Answer:

Hi

Step-by-step explanation:

The answer is B and D.

Hope it's correct.

Couldn’t post the answer here. The answer is in the file. Good luck!

quick.ly/29B1X

I’m just joking. The answer is B. Have a good day.

A circular opening of an ice cream cone has a diameter of 23 centimeters. The height of the cone is 17 centimeters, what is the

volume of the cone?

round to hundredth decimals if necessary.

Answers

Answer:[tex]2355.31\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of the cone is  [tex]d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm][/tex]

The height of the cone is  [tex]h=17\ cm[/tex]

The volume of a cone is  [tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3[/tex]

Thus, the volume of the cone is [tex]2355.31\ cm^3[/tex]

HELP I NEED AN ANSWER REALLY FAST AND PLEASE EXPLAIN HOW YOU GOT THE ANSWER I WILL GIVE YOU THE CROWN!!!

Answers

Answer:

B

Step-by-step explanation:

Look at the chart you can find out by looking at 20 then your answers

CAN SOMEONE HELP ME!!!!

Thion Drones is a newly established manufacturer of drones for recreational use. The firm produced 180 drones last month and sold these for an average price of $230. Thion Drones had average variable costs of $190 per drone. Its fixed costs per month are $4,500.

a.  Calculate the average fixed cost (AFC) for Thion Drones.

   

b.  Calculate the monthly profit or loss made by Thion Drones.

Answers

what is the probability if you randomly select comedy book replace it and another comedy book?
(if your going to answer pls explain )

The average fixed cost of each case will be $25

What is the average fixed cost ?Fixed cost is the cost that does not change with the number of lawyers hired or the number of cases. Fixed cost remains fixed regardless of the number of lawyers or the number of cases. Examples of fixed cost include rent, electricity.Average fixed cost is the total fixed cost per case. Average fixed cost can be determined by dividing the fixed cost by the number of cases.

Average fixed cost = fixed cost / number of cases.

$4500/ 180= $25

To learn more about average fixed cost refer

https://brainly.com/question/28503168

#SPJ2

What is the value of y?

2y°
y +10°
50°

A. 400
B. 60°
C. 500
D. 30°

Answers

Answer:

a part

Step-by-step explanation:

Attachment added....

Hope it helps :)

What Is The Improper fraction for 6/7 and 4/5

Answers

Answer:

11 upon 4 is your 6 upon 4 answer

How many yards are equivalent to 38 feet? Sh

Answers

Answer:

16 2/3 yards

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Help me please I have an f in this class I will give you 44 points

Answers

8 x 7s = 56s

8 x (-2) = -16

so 8(7s - 2) = 56s - 16

10!!! POINTS AND BRAINLIEST!!!

Answers

Answer:

[tex]\boxed {\boxed {\sf 53}}[/tex]

Step-by-step explanation:

This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.

Stem# Leaf#

The first stem is 0, with a leaf of 4. Therefore,

04 = 4

The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.

57

The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.

Range= largest-smallest Range= 57-4=53

The range is 53.

Find a1 for the arithmetic sequence's 21st term is 400 is 400 and it's common difference is 5​

Answers

Answer:

8,395

Step-by-step explanation:

21 x 400 = 8,400

is = x

8, 400 - 5 = 8,395

difference = -

Brainlist Pls!

A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.

On Saturday the ship carried 400 large crates and 275 extra-large crates weighing 18,800 tons.

On Sunday, the ship carried 190 large crates and 335 extra large crates, weighing 16,100 tons.

How much does an extra-large crate weigh in tons?
F 25 tons
G 32 tons
H 30 tons
J 24 tons

Answers

Answer:

G. 32

Step-by-step explanation:

32 x 335 = 10720

16,100 - 10720 = 5380/190 = 28.3157894737

275 x 32 = 8800

18,800 - 8800 = 10,000/400 = 25 (This is the closer).

30 x 335 = 10,050

16,100 - 10,050 = 6050/190  = 31.8421052632

30 x 275 = 8250

18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)

25 x 335 = 8375

16,100 - 8375 = 7725/190 = 40.6578947368

25 x 275 = 6875

18,800 - 6875 = 11925/400 = 29.8125

24 x 335 = 8040

16,100 - 8040 = 8060/190 = 42.4210526316

24 x 275 = 6600

18,800 - 6600 = 12200/400 = 30.5

i'll give brainiest to who answers this pls help

Answers

Answer:

The answer is 126 square inches.

Step-by-step expalation

Use the following function rule to find f(6).
f(x)=6x+11

Answers

f(6)=6(6)+11
answer:47

Answer:

X=-11/6

Steps

f(x)=6x+11

simplify,

0=6x+11

-6x+11

Divide both sides,

Answer is x = -¹¹/6

Find sin(a) in the triangle.
Choose 1 answer:

Answers

Answer:

5/13

Step-by-step explanation:

Find the diagram to the question attached

Given the following considering angle A

Hypotenuse = 13 = AB

Opposite = 5 (side facing the angle A) = BC

Adjacent = 12

According to SOH CAH TOA;

Sin theta = opposite/hypotenuse

Sin(a) = BC/AB

Sin(a) = 5/13

Hence the value of sin(a) is 5/13

PLSSS HELP IMMEDIATELY!!! ILL GIVE BRAINIEST!!! (if u provide a link, i’m not giving u brainiest!)

Answers

Answer: B. (2,1)

Step-by-step explanation:

its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.

It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.

That's the same thing for A so your answer is b.

Answer:

B.......................

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