What is -6f +13= 2f - 11

Answers

Answer 1
Answer: F=3. If you want an explanation just ask :)

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Can you help! What is 48771273 + 68296638918

What is the answer? Solve for v if it isn’t there.

Answers

I believe the answer would be (v = 8)

Answer:

v=8

Step-by-step explanation:

Daren is 3 years older than Tom. 3 years ago Leah will be 14 less than 3 times Darren's age. 5 years ago, Leah was 2 years less than 2 times Tom. How old will Leah be 4 years from now?

Answers

answer

5

set up equations

daren is 3 years older than tom

D = 3 + T

3 years ago leah will be 14 less than 3 times darren's age

L - 3 = 3(D - 3) - 14

L - 3 = 3D - 9 - 14

L = 3D - 9 - 14 + 3

L = 3D - 20

5 years ago, leah was 2 years less than 2 times tom

L - 5 = 2(T - 5) - 2

L - 5 = 2T - 10 -2

L = 2T - 10 - 2 + 5

L = 2T - 7

find leah's current age

set L = 3D - 20 and L = 2T - 7 equal to each other

3D - 20 = 2T - 7

plug 3 + T into D using the equation D = 3 + T

3D - 20 = 2T - 7

3(3 + T) - 20 = 2T - 7

9 + 3T - 20 = 2T - 7

T = - 7 - 9 + 20

T = 4

plug T back into L = 2T - 7 to find leah's current age

L = 2T - 7

L = 2 * 4 - 7

L = 8 - 7

L = 1

leah's age 4 years from now

add 4 to leah's current age

1 + 4 = 5

Aldrin and Jan are standing at the edge of a huge field. At 2:00 p.m., Aldrin begins to walk along a straight path at a speed of 3 km/h. Two hours later, Jan takes a straight path at a 608 angle to Aldrin’s path, walking at 5 km/h. At what time the two friends be 13km apart?

Answers

Answer: After 2:29 hours both Aldrin and Jan will be 13 km apart from each other.

Time at that instant will be : 4:00 pm + 2.29 hours= 6:29 pm

Step-by-step explanation:

According to the figure:

Ab= c = 13 Km

AC = b = distance= speed* time =5* t=5t Km

After two hours the distance covered by the Aldrin say till point D :

distance=speed* time=3km/hr* 2 hrs=6 Km

Since, we are interested in determining the time at which Aldrin and Jan both 13 Km apart. For that Aldrin Additional distance covered by the Aldrin from point D to B is :

distance=speed* time= 3km/hr* t=3t Km

CB= a = CD+DB= 6+3t

We will apply Laws of cosines:

C^2=A^2+B^2-2AB* Cos\theta

(13)^2=(6+3t)^2+(5t)^2-2(5t)(6+3t)Cos 60^o

19t^2+6t-133=0

On solving the the above equation by quadratic formula we get two values of 't'

1) t = 2.49 hours , 2) t = -2.80 hours

Since,time cannot be in negative so we will ignore the negative value of t

t = 2.49 = 2:29 hours ,(0.49 hour=0.49 × 60 min=29.4 min)

After 2.49 hours after the walking of Jan. Both Aldrin and Jan will be 13 km apart from each other.

Time at that instant will be : 4:00 pm + 2:29 hours= 6:29 hour

Add or subtract mentally 8.01+1.09

Answers

The answer is 9.10 (since you put an addition sign.)
Add mentally =9.10
subtract mentally=6.92

Describe how to find 5-(-8) on a number line. If you found the difference using counters, would you get the same result? Explain

Answers

First of all 5-(-8) is the same thing as 5+8. So you would add 5+8=13

Find the area of the triangle

Answers

32.2490309931942 so 32