anna walked to a friends house m miles away at an average rate of 4mph. the m mile walk home was only at 3 mph however. express the time Anna spent walking as a single fraction. help!!! Urgent!!!

Answers

Answer 1
Answer:

First of, Anna walked to a friend's house which is 'm' miles away and she walked at an average speed of 4 miles per hour.

So, to find the time we will use formula given below:

Time =(Distance)/(Speed)

So the time taken by Anna to get to her friend's house is:

T_1=(Distance)/(Speed) =(m)/(4)

We have the time taken by Anna to walk to her friend's house.

Now we will find the time taken by Anna to walk back home. While walking back home Anna walked at a speed of 3 miles per hour.

So the time taken by Anna to walk back home is:

T_2=(Distance)/(Speed) =(m)/(3)

Now that we have the both the times, we can find out the total time that Anna spent walking.

Total time that Anna spent walking is:

T_1+T_2= (m)/(4) +(m)/(3) =(3m+4m)/(12) =(7m)/(12)

Anna spent (7m)/(12) hours while walking.


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A pair of equations is shown below:y = 3x − 5
y = 6x − 8

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer.

Answers

y = 3x - 5
y = 6x - 8

y = y
3x - 5 = 6x - 8
3x - 6x = -8 + 5
-3x = -3
x = -3/-3
x = 1

y = 3x - 5 ⇒ 3(1) - 5 = 3 - 5 ⇒ y = -2
y = 6x - 8 ⇒ 6(1) - 8 = 6 - 8 ⇒ y = -2

x = 1 ; y = -2   or  (1,-2) is the point of intersection.

Answer:

A.

y = 3x - 5

y = 6x - 8    We simply subtract the second equation from the first. This eliminates y:

0 = 3x - 6x - 5 - (-8)

0 = -3x - 5 + 8

3x = 3

x = 1

Now substitute for x in first equation:

y = 3(1) - 5

y = -2.

B.  x = 1 and y = -2  are the values that satisfy both equations. So the liones will intersect at this point (1, -2).

y = 3x - 5

y = 6x - 8    We simply subtract the second equation from the first. This eliminates y:

0 = 3x - 6x - 5 - (-8)

0 = -3x - 5 + 8

3x = 3

x = 1

Now substitute for x in first equation:

y = 3(1) - 5

y = -2.

B.  x = 1 and y = -2  are the values that satisfy both equations. So the liones will intersect at this point (1, -2).

Step-by-step explanation:

no need for one be sure to parapharse

Mr.lopez wrote the equation 32g+8g-10g=150

Answers

Answer:

g=5

Step-by-step explanation:

32g+8g-10g=150

30g=150

g=5

HELPPP PLEASE!!Three research departments have 10, 7 ,6 and members, respectively. If each department is to select a delegate and an alternate to represent the department at a conference, in how many ways can this be done?

Answers

im not for sure if i did this right but my calculator says that its 420.
hope i helped.

If one angle is x and the other angle.is 4x-15 what is the value of x

Answers

These two quantities obviously refer to a picture or drawing that shows how they're related to each other. Without the picture, they're not related, and there's no answer.

A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.A) |x − 32| ≥ 8; The medication costs range from $24 to $40
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
C) |x − 32| ≤ 8; The medication costs range from $24 to $40
D) |x − 32| ≤8; The medications cost less than $24 or greater than $40.

Answers

Answer:

Therefore, Option C is correct that is |x-32|\leq8|{\text{the medication costs range from $24to $40}.

Step-by-step explanation:

We have given medication cost $32

Since, we have given as much as 8 so the inequality will maximum goes upto 8.

|x-32|\leq8

Now, we will solve the inequality for x we will get

We will first open the modulus function by its definition we will get

which is |x| is +x  and -x

(x-32)\leq8

x=32+8=40

x=40

And -(x-32)\leq8

-x+32=8

x=24

Therefore, Option C is correct

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24.  Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8
|-2| ≤ 8
2 ≤ 8

Option C is correct.

1. Isaac goes to an amusement park where tickets for the rides cost $10 per sheet and tickets for the shows cost $15 each. (a) Write an expression that describes the amount of money Isaac will spend if he buys x sheets of the tickets for rides and y tickets for shows.
(b) Evaluate the expression to find the total price that Isaac will pay if he buys 5 sheets of tickets for rides and 3 tickets for shows.

Answers

The answers I have gotten are
A- x+y= $25
B- $95