1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GrogVix [38]
3 years ago
11

A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed

for the complete journey is 60km/h?
Mathematics
1 answer:
nalin [4]3 years ago
5 0
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
You might be interested in
Mark has 10 pens. Kate has 5 times as many pens as Mark.
Inessa05 [86]

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

5 0
2 years ago
The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o
11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

7 0
2 years ago
HELP ASAP//BRAINLEST+THANKS: Subj:gravity formula stuff
Y_Kistochka [10]

Answer:

6.46

Step-by-step explanation:

h(t) = (1/2)att^{2} + v0t + h0

Origin is at surface of water (h = 0), up is positive.

a = -g = -9.8 m/s^{2}

v0 = 25 m/s

h0 = 50 m

h(t) = -4.9t2 + 25t + 50

Find t when

7 = -4.9t^{2} + 25t + 50

4.9t^{2} - 25t - 43 = 0

t = [1/(2*4.9)] [25 ±√(25^{2} + 4*4.9*43)]

t = (0.102)(25 ± 38.312)

t > 0 ⇒ use only the positive square root

t = (0.102)(25 + 38.312) ≅ 6.46 s

It is 7m above the water at about 6.46 s

7 0
3 years ago
Equation of a line, in general form, that is perpendicular to 2x-3y + 7 = 0 and passes through the point (-3/4, 1)
TEA [102]

Answer:

  12x +8y +1 = 0

Step-by-step explanation:

You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:

  3(x-(-3/4)) +2(y -1) = 0

  3x +9/4 +2y -2 = 0 . . . . eliminate parentheses

  3x +2y +1/4 = 0 . . . . . . . simplify

To eliminate the fraction, multiply by 4:

  12x +8y +1 = 0

_____

<em>Comment on the equation</em>

The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.

The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.

4 0
3 years ago
3x - 4 &lt; 8 and 2x+ 2 &gt; 4<br> 20 points crq
Gekata [30.6K]

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  <u>+4 +4</u>

3x<12

Divide both sides by 3.

3x<12

<u>/3  /3</u>

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   <u>-2  -2</u>

2x>2

Divide both sides by 2.

2x>2

<u>/2  /2</u>

x>1

Hope this helped!! Have an amazing day :3

4 0
3 years ago
Other questions:
  • 11.
    12·2 answers
  • If W = 11 ft, X = 12.6 ft, Y = 7ft, and Z= 9.6ft, what is the area of her closet?
    11·2 answers
  • What’s the difference between nine and twice a number,x, is one
    7·1 answer
  • Sebastian compro dos alfajores de $ 2,65 cada uno y un chocolate. Si pago con $ 20 y le dieron $ 6,25 de regreso, ¿cuánto cuesta
    7·1 answer
  • What is 5/8-1 7/8. ​
    6·1 answer
  • 7. The more times you do an experiment, the more the results will...
    8·1 answer
  • When ordering tickets online, a collage theater charges a $5 handling fee no matter how large the order. Tickets to a comedy con
    6·1 answer
  • Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the fi
    5·1 answer
  • PLS HELP BIG EXAM PLS I WILL GIVE A LOT PLSS HELP
    9·2 answers
  • the ratio of yes votes to no votes was 2 to 3. If there were 1386 yes votes, what was the total number of votes?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!