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

Lincoln High School earned $5,100 in ticket sales for a play. The cost per ticket was 12$. Let t represent the number of tickets sold to the play. Which of the following equations could be used to determine how many tickets were sold to the play

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Answer:5100 divided by 12=425

Step-by-step explanation:

Write the word sentence as and inequality. A number b less than 12.

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Answer:B < 12.

Step-by-step explanation:

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Answer:

The answer is false.

Step-by-step explanation:

Paul is growing a rectangular rose garden. His area is 5x2+ 8x +3. What are the dimensions of his rectangle?

Answers

Answer:

[tex]Length = 5x + 3[/tex]

[tex]Width = x +1[/tex]

Step-by-step explanation:

Given

[tex]Area = 5x^2 + 8x + 3[/tex]

Required

Determine the dimensions

To do this, we simply factorize the given expression.

[tex]Area = 5x^2 + 8x + 3[/tex]

Expand

[tex]Area = 5x^2 + 5x +3x+ 3[/tex]

Factorize

[tex]Area = 5x(x + 1) +3(x+ 1)[/tex]

Factor out x + 1

[tex]Area = (5x +3) (x+ 1)[/tex]

Area is calculated as:

[tex]Area = Length * Width[/tex]

So:

[tex]Length = 5x + 3[/tex]

[tex]Width = x +1[/tex]

Problem Find the midpoint between the following points using the Midpoint Formula 11113 91492). 2 Solution 1. Given: (-10, 2) and (3,5), the midpoint is ( Berg 2. Given: (3,6) and (7,6) the midpoint is ( BRARIES ) B. RE​

Answers

Answer:

Step-by-step explanation:

1) (-10,2)   ; (3,5)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{-10 +3 }{2}, \frac{2+5}{2})\\\\=(\frac{-7}{2},\frac{7}{2})\\\\=(-3.5, 3.5)[/tex]

2) (3,6)  ; (7,6)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{3+7 }{2}, \frac{6+6}{2})\\\\=(\frac{10}{2},\frac{12}{2})\\\\=(5, 6)[/tex]

Eric has a bag of carrots that weighs 3 pounds. He separates the carrots equally into 10 containers. How many pounds are in each container?

Answers

Answer:

3/10 pounds

Step-by-step explanation:

Distribute 3 pounds equally into 10 containers so it is 3/10 pounds in each container.

Select the best term from the box to complete the sentence.

A three-dimentional figure having length, width, and height is called a ___?___

Answers

solid

solid object, solid figure are some other examples

You do not list what the choices are but it can be one of these:

A solid figure

A space figure

ill give brainliest if it's right

Find the common difference of the arithmetic sequence -11, -16, -21,...−11,−16,−21,...

Answers

Answer:

-5 is the common difference.

Step-by-step explanation:

Answer:

...... ignor this

Step-by-step explanation:

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find the slope and y intercept for this problem: -2y= -16x+8

Answers

Answer:

Step-by-step explanation:

The slope intercept form of a line is y=mx+b where m=slope and b=y intercept so we can solve for y from what you were given.

-2y=-16x+8

y=8x-4

So the slope is 8 and the y intercept is -4.

find the 13th term of the geometric sequence 5,10,20,...​

Answers

Answer:

5x13=?

Step-by-step explanation:

Answer:

20480

Step-by-step explanation:

PLLLZZ HHEELLPPP! QUESTION IS BELOW!

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Answer:

32°

Step-by-step explanation:

The two given angles are complementary, it means they add to 90°

Find x:

2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24

Find Y:

m∠Y = x + 8 = 24 + 8 = 32°

Select the zeros of the function

Answers

Answer:

Zeroes are where y=0 (x-intercepts)

I think they are expressed as just the x values since the y value can only be zero, but I could be wrong

the zeroes are at x=-6 and x=-2

so (-6, 0) and (-2, 0)

Which lists all the multiples of 8 that are less than 50? 2, 4, 8 4, 8, 12, 16, 24, 32, 40, 48 8, 16, 24, 32, 40, 48 8, 16, 24, 32, 40, 48, 56

Answers

Answer:

8, 16, 24, 32, 40, and 48

Step-by-step explanation:

I hope this helps! Please mark Brainliest if possible!

4.
Your math test has 38 questions and is worth 200 points. The test consists
of multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?

... please solve this using if systems of equations

Answers

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation. Isaac gave away five balloons. How can you model this situation? The situation can be modeled by algebra tiles with one orange x tile and . The situation can be represented as an algebraic expression as .

Answers

Answer:

Following are the responses to this question:

Step-by-step explanation:

In point 1 the answer is "An algebra tiles will model the situation".

In point 2 the answer is "The one tile of orange x and 5 tiles of black".

In point 3 the answer is "This situation can be interpreted as an x-5 algebraic term".

Ecuación:
15 + 3x = 21 - x

Y una explicación por favor. Gracias.
(No respondan con un enlace a otra pagina, solo en un texto o una imagen dentro de la página)

Answers

Queremos tener todos los variables del mismo typo en un lado así que vamos a mover la -x a la izquierda, y el 15 a la derecha.
15 + 3x = 21 - x
+x +x
————————
15 + 4x = 21
-15 -15
———————
4x = 6
— —
4 4
X = 1.5 para ver si es correcto puedes tratar de poner 1.5 en lugar de la x y te saldrá una ecuación correcta :), déjame saber si tienes preguntas espero que eso hizo sentido.

Which is NOT true about the transformation below?

A. The orientation of the figure stayed the same.
B. The transformation is a reflection.
C. The two figures are congruent.
D. The pre-image is in Quadrant I.

Answers

Answer:

D IS THE ANSWER

Step-by-step explanation:

I THINK ITS B

Answer:

B

Step-by-step explanation:

The set of data below represent the number of runs scored by a youth baseball team over the course of a season.
Team: 4, 8, 5, 12, 3, 9, 5, 2 Which set of statements about the data is true?

1)Mean < Standard Deviation
2)First Quartile < Standard Deviation
3)Median > Mean
4)Mean > Standard Deviation

Answers

The correct answer will be option (3) Median > Mean

ConceptFirst we will find the mean, median and standard deviation of given dataAfter finding mean, median and standard deviation we will compare them to find the correct answer

How to solve this problem?

The steps are as follow:

The runs scored by youth baseball team over the course of a season is : 4, 8, 5, 12, 3, 9, 5, 2Mean is given as follow:

[tex]x \: = \frac{4 + 8 + 5 + 12 + 3 + 9 + 5 + 2}{8} \\ x = 6[/tex]

So the mean will be 6Arranging the given observation 2,3,4,5,5,8,9,12To find the median the total number observation is 8 which is even so formula to find median will be:

[tex][tex]m = \frac{ { (\frac{n}{2}) }^{th} obs + ( { \frac{n}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (\frac{8}{2}) }^{th} obs + ( { \frac{8}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (4) }^{th} obs + ( { 5)}^{th} obs }{2} \\ m= \frac{ { 5} + 5}{2} \\ m = 5[/tex][/tex]

So the correct answer will be option (3) Median > Mean

Learn more about mean and median here:

https://brainly.com/question/13741558

#SPJ2

only answer if u know the answer ​

Answers

Answer:

Angle C = 142 degrees

Step-by-step explanation:

A+B = 90

B+C = 180

Rearrange first equation to get B = 90-A

Plug this into the second equation:

90-A + C = 180

C = A + 90

Plug in A, C = 52 + 90 = 142

A principal wants to find out if her school needs more bike racks. A survey is taken of 30 students who ride the bus. Why might the sample be biased? Describe in words how a sample could have been done that is more representative of the entire school.

Answers

Answer:

The students who ride the bus most likely won't use the bike racks so it doesn't impact them and they probably don't know if they need more bike racks.

Step-by-step explanation:

Ed has $5.06.
He finds $1.03.
About how much $ does he have now?

Answers

Answer:

Ed now has $6.09

Ed has 6.09 because 5.06 + 1.03 = $6.09

Pls help me ASAP and explain and show your working of this question

Answers

-5 = 53

-1 = 13

0 = 3

1= -7

Step-by-step explanation:

Not sure if this is right, but all I did was plugged -10 X + 3 into the Y = on my calculator and then graphed and checked the table, I looked at the x value and then the Y.

Step-by-step explanation:

given equation :- y = -10x + 3

1)when x = -5

y = -10x + 3

y = -10 (-5) + 3

= 50 + 3

= 53

2)when x = -1

y = -10x + 3

y = -10(-1) + 3

= 10 + 3

= 13

3) when x = 0

y = -10x + 3

y = -10(0) +3

= 0+ 3

= 3

4) when x = 1

y = -10x + 3

y = -10(1) +3

= -10 + 3

= -7

Find the area simplify your answer x+6 x+4

Answers

Answer:

7x+4

Step-by-step explanation:

combine like terms

x + 6x + 4

(x + 6x) + 4

7x + 4=

7x + 4

could somebody help me this ixl math is driving me crazy smh

Answers

Answer:

279

Step-by-step explanation:

Evaluate.
2(4 what is the correct answer?

Answers

The Answer Would Be 16

How I Found The Answer:
2 x 2 x 2 x 2 = 16

Answer:

16

Step-by-step explanation:

2^4= 2 x 2 x 2 x 2 =16

helppp pleaseee :)))

Answers

Answer:

1)

Y-intercept: -3

Slope: 2

Equation: y = 2x - 3

Step-by-step explanation:

I just answered one since it was only for 5 points. :)

Solve using the quadratic formula. x^2−10x+23=0

Answers

Answer:

x  =  5  ±  √  2

Step-by-step explanation:

Mrs. Hazen bought 4 1/2 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?

Answers

Answer:

72 ounces of bananas

Answer:

72

Step-by-step explanation:

4.5 ties 16 = 72

There were 35 foxes with socks sitting on some boxes. How many socks
were there altogether. (Remember a fox has 4 feet)

Answers

Answer:

140 socks or 70 pair of socks

Step-by-step explanation:

35 x 4 = 140

Answer:

140

Step-by-step explanation:

35 times 4 is 140

Pls help me and thank youuu

Answers

Answer:

x = 1

Step-by-step explanation:

14 -4x = 10

-4x = -4

x = 1

Answer:

x=1

Step-by-step explanation:

2×7=14

2×2=4

4×1=4

14-4=10

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