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
Oliga [24]
2 years ago
11

Melody can cycle for 30 miles against the wind in the same amount of time that it takes to cycle 56 miles with the wind. If the

speed of the wind is 3mph, what is Melody's speed when she cycles with the wind?
Answer with Solution:​
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
3 0

Answer:

  • 12.92 mph

Step-by-step explanation:

<u>Given:</u>

  • Speed of the wind = 3 mph
  • Speed in calm weather = x
  • Speed with the wind = x + 3
  • Speed against the wind = x - 3

<u>We know that:</u>

  • distance = time*speed or
  • time = distance / speed

<u>We have equal time in both cases so comparing d/s ratios:</u>

  • 30/(x - 3) = 56/(x + 3)

<u>Solve for x:</u>

  • 56(x - 3) = 30(x + 3)
  • 56x - 168 = 30x + 90
  • 56x - 30x = 90 + 168
  • 26x = 258
  • x = 258/26
  • x ≈ 9.92

<u>The speed with the wind is:</u>

  • 9.92 + 3 = 12.92 mph
You might be interested in
Find the 5th term of the sequence in which T1=8 and Tn=3t n-1
yan [13]
T_n = 3 * T_(n-1)

Long way (always works!)
T_5 = 3*T_4,
T_4 = 3*T_3
T_3 = 3*T_2
T_2 = 3*T_1

T_5 = 3*3*3*3*T_1 = 81*T_1 = 81*8 = 648!

Short way (sometimes it works!)

T_n = 3^(n-1) * T_1 (this case is a geometric series of ratio-=3)
T_5 = 3^4*8 = 648
6 0
3 years ago
Find the volume of the figure. Round your answer to the nearest tenth, if necessary. For your answer just put the number. DO NOT
AleksandrR [38]
V = l x W x H
————- = 220
3
8 0
3 years ago
BEST ANSWER GETS BRAINLIEST!!!!!!!!!!! PLEASE HELP ASAP!!!!!!!!!!
Pani-rosa [81]
4x = 157.2

4x/4 = 157.2/4

x = 39.3
8 0
3 years ago
Which expression is equal to: H • 3
Vadim26 [7]
The answer is 3h.

Because 3h is like 3 x H
7 0
4 years ago
Which expression is equivalent to 5 square root 11^3​
AlladinOne [14]

Answer:

11^3/5

Step-by-step explanation:

The exponent of 3 becomes the numerator while the 5 in the root becomes the denominator which creates the fraction 3/5. So the final answer is 11^3/5

6 0
3 years ago
Other questions:
  • 17) Candy brought 30 cookies to a party. List all the ways she can arrange them on a plate in equal rows.
    8·1 answer
  • Find the missing length of the solid figure.<br> 3 m<br> 3 m<br> 8 m
    11·1 answer
  • A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2 = 0.8
    15·2 answers
  • My puppy is running away at a speed of 220 feet per minute, and it is already 200 feet away! I cannot run faster than 270 feet p
    6·1 answer
  • 2 divided by 819,285 equals?
    11·1 answer
  • Please give me the right answer. :)
    13·2 answers
  • Joshua orders some drinks for himself and some friends. He orders three cappuccinos, two iced teas, two cafe lattes, and an espr
    6·1 answer
  • Twice the sum of three times a number and eight translate this plz
    11·1 answer
  • 1. Find the radian measure for 150 degrees.
    10·2 answers
  • E<br> 7 cm<br> Find the value of x to 3<br> significant figures.<br> x<br> 12 cm<br> 8 cm
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!