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
Butoxors [25]
3 years ago
9

emily drives home from work in 30 minutes driving 60 miles per hour. If Emily need to get home 10 minutes earlier, how fast does

drive?
Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

The correct answer is 90 miles per hour

Explanation:

The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:

speed = distance ÷ time

distance = speed x time

distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)

distance= 30 miles

Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)

speed = distance ÷ time

speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)

speed= 90 miles per hour

You might be interested in
What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64<img src="https://tex.z-dn.net/?f=x%5E3"
salantis [7]

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is 27 + 64x^{3}

Now, the equation is 27 + 64x^{3} = 0

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be - \frac{3}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  

Again, we have to solve the difference of two cubes which is 64m^{3} - 1

Now, the equation is 64m^{3} - 1 = 0

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be \frac{1}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  (Answer)

8 0
3 years ago
F(x) = –22 – 9x + 20<br> Find f(9)
Nikolay [14]

Answer: -83

Step-by-step explanation:

f(9)--22+20-9*(9)=-2-81=-83

8 0
2 years ago
Read 2 more answers
Given three positive integers a, b and c such that a² + b² - c² = 1. Let the number of triangles formed with sides a, b and c wi
Akimi4 [234]

Answer:

Step-by-step explanation:

Count pairs (a, b) whose sum of squares is N (a^2 + b^2 = N)

Given a number N, the task is to count all ‘a’ and ‘b’ that satisfy the condition a^2 + b^2 = N.

Note:- (a, b) and (b, a) are to be considered as two different pairs and (a, a) is also valid and to be considered only one time.

Examples:

Input: N = 10

Output: 2

1^2 + 3^2 = 9

3^2 + 1^2 = 9

Input: N = 8

Output: 1

2^2 + 2^2 = 8

8 0
3 years ago
Anyone know what the answer is?
babymother [125]

A. 12

B. 34

C. (x+2)+(x+2)+(5+5)

3 0
2 years ago
6
bezimeni [28]

Answer:

260 stickers

Step-by-step explanation:

Let Gareth's stickers be x.

Hence Cheryl sticker is 160+x;

If Cheryl gave 185 stickers

to Gareth, it means:

Cheryl has at the moment;

160 + x - 185 = x - 25

At this time when Gareth receives 185 he now has:

x+ 185

Also when he receives x +185, he has 3 times Cherry's meaning:

x+185 =3(x-25)

x + 185 = 3x -75

185 + 75 = 3x-2x

260= x

x = 260.

Hence Gareth has 260 stickers

5 0
3 years ago
Other questions:
  • A rectangular piece of plywood has a diagonal that measures three feet more than the width. The length of the plywood is three t
    9·1 answer
  • Two people are partnered up in a real-estate business. They split all commissions evenly. If they sold 3 houses last month for a
    9·1 answer
  • Which expression is equivalent to 6(14)? <br> 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)
    8·2 answers
  • Sam runs 4 miles in 32 minutes. If Sam runs at the same rate, how far can he run in 120 minutes?
    11·1 answer
  • Solve attachment EASY POINTS
    12·2 answers
  • If the area of a rhombus is 100 square inches and one of the diagonals is 25 inches long, what is the length of the other diagon
    5·1 answer
  • Plz help me with all of this question here and explain how was the incorrect answer obtained
    15·1 answer
  • An airplane is traveling in the direction 20 degrees west of north at 700 ​km/hr. Find the component form of the velocity of the
    10·1 answer
  • A pair of bottlenose dolphins at an aquarium are fed 45 pounds of fish each day. The aquarium recently added another dolphin. Ho
    7·1 answer
  • How many mathematicians discovered the Law of Sines?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!