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
kondor19780726 [428]
3 years ago
5

Susie has planned a trip to a city 60 miles away. She wishes to have an average speed of 60 miles/hour for the trip. Due to a tr

affic jam, however, she only has an average speed of 30 miles/hour for the first 30 miles. How fast does she need to go for the remaining 30 miles so that her average speed is 60 miles/hour for the whole trip?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

90 mi/h

Step-by-step explanation:

Given,

For first 30 miles, her speed is 30 miles per hour,

Let x be her speed in miles per hour for another 30 miles,

Since, here the distance are equal in each interval,

So, the average speed of the entire journey

=\frac{\text{Average speed for first 30 miles + Average speed for another 30 miles}}{2}

=\frac{30+x}{2}

According to the question,

\frac{30+x}{2}=60

30+x=120

\implies x = 90

Hence, she needs to go 90 miles per hour for remaining 30 miles.

You might be interested in
a parking garage charges $5 for the first hour of parking and $1.75 for each additional hour. if y represents the total cost and
victus00 [196]
In this exact order:
5+1.75x=y
Sorry for the wait..Hope this helps
6 0
3 years ago
Subtract the mixed numbers
Lisa [10]

Answer:  4 1/2 - 1 11/12 = 2 1/3 but in decimal form 2.3

8 0
2 years ago
Read 2 more answers
Consider the equation and the relation “(x, y) R (0, 2)”, where R is read as “has distance 1 of”. For example, “(0, 3) R (0, 2)”
Leviafan [203]

Answer:

The equation determine a relation between x and y

x = ± \sqrt{1-(y-2)^{2}}

y = ± \sqrt{1-x^{2}}+2

The domain is 1 ≤ y ≤ 3

The domain is -1 ≤ x ≤ 1

The graphs of these two function are half circle with center (0 , 2)

All of the points on the circle that have distance 1 from point (0 , 2)

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation x² + (y - 2)² and the relation "(x , y) R (0, 2)", where

 R is read as "has distance 1 of"

- This relation can also be read as “the point (x, y) is on the circle

 of radius 1 with center (0, 2)”

- “(x, y) satisfies this equation , if and only if, (x, y) R (0, 2)”

* <em>Lets solve the problem</em>

- The equation of a circle of center (h , k) and radius r is

  (x - h)² + (y - k)² = r²

∵ The center of the circle is (0 , 2)

∴ h = 0 and k = 2

∵ The radius is 1

∴ r = 1

∴ The equation is ⇒  (x - 0)² + (y - 2)² = 1²

∴ The equation is ⇒ x² + (y - 2)² = 1

∵ A circle represents the graph of a relation

∴ The equation determine a relation between x and y

* Lets prove that x=g(y)

- To do that find x in terms of y by separate x in side and all other

  in the other side

∵ x² + (y - 2)² = 1

- Subtract (y - 2)² from both sides

∴ x² = 1 - (y - 2)²

- Take square root for both sides

∴ x = ± \sqrt{1-(y-2)^{2}}

∴ x = g(y)

* Lets prove that y=h(x)

- To do that find y in terms of x by separate y in side and all other

  in the other side

∵ x² + (y - 2)² = 1

- Subtract x² from both sides

∴ (y - 2)² = 1 - x²

- Take square root for both sides

∴ y - 2 = ± \sqrt{1-x^{2}}

- Add 2 for both sides

∴ y = ± \sqrt{1-x^{2}}+2

∴ y = h(x)

- In the function x = ± \sqrt{1-(y-2)^{2}}

∵ \sqrt{1-(y-2)^{2}} ≥ 0

∴ 1 - (y - 2)² ≥ 0

- Add (y - 2)² to both sides

∴ 1 ≥ (y - 2)²

- Take √ for both sides

∴ 1 ≥ y - 2 ≥ -1

- Add 2 for both sides

∴ 3 ≥ y ≥ 1

∴ The domain is 1 ≤ y ≤ 3

- In the function y = ± \sqrt{1-x^{2}}+2

∵ \sqrt{1-x^{2}} ≥ 0

∴ 1 - x² ≥ 0

- Add x² for both sides

∴ 1 ≥ x²

- Take √ for both sides

∴ 1 ≥ x ≥ -1

∴ The domain is -1 ≤ x ≤ 1

* The graphs of these two function are half circle with center (0 , 2)

* All of the points on the circle that have distance 1 from point (0 , 2)

8 0
3 years ago
Hii please help asap ill give brainliest thanks
GalinKa [24]

Answer:

The answer is ayurveda

8 0
3 years ago
What is my anwer to now exactly to son that right things to my kids
Romashka-Z-Leto [24]

Answer:

little child consumption

5 0
3 years ago
Read 2 more answers
Other questions:
  • The measures of the angles of △ABC are given by the expressions in the table.
    5·1 answer
  • A recipe is designed to serve 4 people. You want to serve 18 people, so you multiply each ingredient in the recipe by a factor A
    12·1 answer
  • Round 61.98 to two significant figures
    14·2 answers
  • How to work out 189,232÷8
    8·1 answer
  • Whats 1 + 1 pls help :CCC​
    14·2 answers
  • What fraction is equivalent 6/24?
    13·1 answer
  • The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.
    6·1 answer
  • HELP THIS HURTS MY BRAIN!
    12·1 answer
  • 4
    10·1 answer
  • find the dimensions of a rectangle that has a length 3 inches longer than it’s width and has an area of 40in^2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!