A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each

Answers

Answer 1

Answer:

Speed of sidekick : 600

Speed of superhero : 500

Step-by-step explanation:

x = sidekick speed

speed of hero = x-100

Time of hero = -36

1800/(x-100) = (1800/x) + 0.6

That equations solves to x = 600 and x = 500 or -500

Answer 2

The given difference in speed and the arrival time, as well as the

distance traveled, gives the speeds as 500 and 600 km/hr.

Response:

The speed of the superhero is 500 km/hr.The speed of the sidekick is 600 km/hr.

Which method is used to calculate the speed of the superhero, and the sidekick?

The given parameters are;

Superhero's speed = 1800 km

Speed of the superhero = Speed of the sidekick - 100 km/h

The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours

Required:

The speed of the superhero and the sidekick

Solution:

Let v represent the speed of the superhero, we have;

v × (t + 0.6) = (v + 100) × t

v·t + 0.6·v = v·t + 100·t = 1800

0.6·v = 100·t

[tex]t = \dfrac{0.6}{100} \cdot v[/tex]

Therefore;

0.006·v² + 0.6·v - 1800 = 0

Which gives;

v² + 100·v - 300,000 = 0

(v - 500)·(v + 600) = 0

v = 500, or v = -600

The speed of the superhero is 500 km/hThe speed of the sidekick is 500 km/h + 100 km/h = 600 km/h

Learn more about speed and velocity here:

https://brainly.com/question/14378093


Related Questions

5 Filipe paid $250 for 5 video games. that were all the same price He used a deal that took $15 off his entire purchase. What was the original cost of each game?​

Answers

Answer:

$53.00

Step-by-step explanation:

250+15=265

265÷5= 53

250 is the discounted price, 265 is the original price. Take the original oprice divide it by 5 (the number of games Filipe bought).

Answer: 53

Steps:

5x - 15 = 250

5x = 250 + 15

5x = 265

x = 265/5

x = 53

Check:

5x - 15 = 250

5(53) - 15 = 250

265 - 15 = 250

250 = 250 ✅

I would appreciate “the brainliest” if this was helpful, correct, and steps were clear :)

In the following equation, which number is the slope (rate of change) and which is the y-intercept?

y = 32 - 4

Slope:

Y-Intercept:

Answers

Answer: Slope: 3z

Y intercept: -4

Step-by-step explanation:

My sister is 11 years old. My brother say that his age minus thirteen is equal to my sister age . How old is my brother

Answers

Answer:

24

Step-by-step explanation:

13+11=24

Explain why a graphical display might be skewed. How
do you ensure data isn't skewed?

Answers

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Answer:

Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Step-by-step explanation:

Edward has $20,000 in a savings account that earns 13% interest per year. The interest is not compounded.How much interest will he earn in 1 year?

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

$

Answers

Answer:

22,600

Step-by-step explanation:

22,600 will be your answer

hi please help i’ll give brainliest please

Answers

Answer:

y = 4

Step-by-step explanation:

15 x 4 = 60

60 = 60

Therfore, y = 4

Answer:

y= 4

Step-by-step explanation:

15 x 4 = 60

Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A



Answers

graph A because the slope and y intercept is correct on that graph

Change 22 metres per second to a speed in kilometres per hour.
Show your working clearly.

Answers

Answer:

79.2 km/hour

Step-by-step explanation:

1 m/sec= 3.6 km/hour 22m/sec= ? so just multiply 22 m/sec by 3.6 km/hour then the answer will be :- 79.2 km/hour

What is the range of (-5, 2), (-2, 4), (2, -7), (4, 8)?

Answers

the answer is in the picture below

Factor the expressions.
9. ​3x + 2410.

10. 9c - 63

solve both and number the answers

Answers

Answer:

[tex]3x + 2410 \\ x = 2410 - 3 \\ x =2407 \\ \\ \\ 9c - 63 \\ 9(c - 7) [/tex]

Jackson invested $140 in an account paying an interest rate of 3 3/4% compounded
quarterly. Lucy invested $140 in an account paying an interest rate of 3 1/2%
compounded daily. After 10 years, how much more money would Jackson have in his
account than Lucy, to the nearest dollar?

Answers

Answer: $5

Step-by-step explanation:

A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7

Answers

Answer:

Step-by-step explanation:

Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

What’s the percent Lol

Step-by-step explanation:

Simplify: 3x + 6y - (4x - 2y)

Answers

Answer:

-x + 8y

Step-by-step explanation:

Let a be a rational number and b be an irrational number. Is a+b rational or irrational?
Please HALP

Answers

when you add a rational number to an irrational number, the result will have the same infinite non periodical decimal part, so the new number will be irrational as well.

PLEASE EMERGENCY THAN YOU

Answers

Answer:

135°

Step-by-step explanation:

This is a cyclic quadrilateral.

It has a property of opposite angles being supplementary.

A and C are supplementary angles:

3x + 6 + x + 2 = 1804x + 8 = 1804x = 172x = 43

m∠A = 3x + 6 = 3*43+ 6 = 135°

Answer:

<A=135°

Step-by-step explanation:

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true? They will be parallel. They will be the same line. They will be perpendicular. They will intersect, but they won't be perpendicular.

Answers

Answer:

They will be parallel.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.

If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.

Help I'm not sure if this is the answer?

(This question is about trigonometric ratios)

Answers

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

__

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

__

The attachment is intended to show how the triangle side lengths change with angle.

Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?

Answers

Answer:

d = -280 m

Step-by-step explanation:

Given that,

Velocity of Andre, v = -8 m/s

Time taken, t = 35 seconds

We need to find his finishing position. Let the finishing position be x.

We know that,

Velocity = distance/time

So,

[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]

so, he was at a distance of 280 m in west.

PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE

Answers

Answer:

w = -0.5

Step-by-step explanation:

Divide the entire equation by -6.8 to cancel it out and get your "w" variable alone.

w = -0.5

Answer:

-0.5

Step-by-step explanation:

divide 3.4/-6.8= -0.5

What is the sum of the interior angles of the polygon?

Answers

Answer:

180

Step-by-step explanation:

because im always right

Answer:

180 degrees

Step-by-step explanation:

All triangles have an interior angle sum of 180 degrees.

If x equals 8 what is the volume.​

Answers

Answer:

I think it might be 9420 Im not sure though

Step-by-step explanation:

Hey There! Allow me to explain how to solve this (I will not say the answer bc I also don't know but here is how you can find it). As you see the shape is a Cyclinder & the formula for it is V=Bh or V=πr2h. You might wanna start with solving the problems (8x - 4) & (11x + 12) Use the order of PEMDAS (Parrenthesis, Exponets, Multiplication, Division, Addition, Subtraction.) to solve is so if solving (8x - 4) And if x = 8 than first begin with mutiliplying 8 x 8 (Because it says 8x and x = 8 which means we are multiplying) than subtract that with 4 (Which will be 64 - 4). Than for (11x + 12) you will wanna do 11 x 8 which is 88 added by 12 which that will be 100. Than use the formula (V=Bh or V=πr2h) And you should have you're answer! I hoped this help and sorry for not finding the answer but atleast I explained to you on how to solve it! <3

The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.

Answers

Answer:

it takes 6 hours 40 minutes

Answer: 6.75 hours

Step-by-step explanation:

540%80=6.75


If y=2x and 3x – 3y = 2, then x

Answers

Answer:

x = - 2/3

Step-by-step explanation:

2x = y

3x - 6x = 2

- 3x = 2

- 3x ÷ - 3 = 2 ÷ - 3

x = 2 ÷ - 3

x = - 2/3

24% of 40



I need it worked out pls thank uuu:)










Answers

Step-by-step explanation:

24% is the same as 6/25

[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]

Answer:

9.6

Step-by-step explanation:

24% of 40 = 0.24 × 40 = 9.6

Help me please thanks

Answers

Replace x any with the given values:

x/y = 9/3 = 3

The answer is 3

Find the value of x.

Answers

Answer:

Solution

a+148=180(Angles on a straight line equals180)

▪a=180-148=32

Now,

a+b=90(A right angle is equal to 90)

So,

▪b=90-a=90-32=58

Then,

b=b(base of iscoceles angles of traingle)

Now,

b+b+x=180(sum of angles of triangle equals 180)

or,58+58+x=180

or,x=180-116

▪x=64'

Answer.

A taxi cab cost $1.75 for the 1st mile and .75 for each additional mile you have $20 to spend on your ride was in a quality could be certified and how many miles you can travel if N is a number of additional miles

Answers

Answer: 0.75n+1.75 ≤ 20 because you have to have the number of additional miles with the cost of $0.75 per mile but then you have to add the original first mile with a cost of $1.75. It has to be less than or equal to because you only have $20 to spend you can't spend more than that you have to spend that amount or less.

Step-by-step explanation:

Answer:

25 miles or 25.333

Step-by-step explanation:

Simplify Expression.
-4 + 8p - 6p - 5 + 20p

please step by step. ​

Answers

—4 and -5= -9 then 8p-6p=2p and 2p+20p= 22p-9

Answer:

p= 9/22

Step-by-step explanation:

grouping of like terms

= -4-5 +8p-6p+20p

= -9 +22p

p =9/22

Choose the figure that shows only a radius.

Answers

C is the radius
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel.
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