The coordinate of point R is 11/40, so the correct option is C.
<h3>
How to find the coordinate of point R?</h3>
On the number line we can see that:
M = -1/4
T = 5/8
There are 5 segments between T and M, and the difference between T and M is:
5/8 - (-1/4) = 5/8 + 2/8 = 7/8
The measure of each segment will be equal to:
m = (7/8)/5 = 7/(8*5) = 7/40
Now, coordinate R is 2 segments to the left of T, so the coordinate of point R is given by:
R = 5/8 - 2*(7/40)
R = 25/40 - 14/40 = 11/40
The correct option is C.
If you want to learn more about number lines:
brainly.com/question/4727909
#SPJ1
Time taken by Daniel to catch up with Frank is 4 minutes.
Step-by-step explanation:
The question is on relative speed; speed of a moving object with respect to another.
The two cars are travelling in the same direction at different speeds thus;
Relative speed = speed of Daniel - speed of Frank = 50-45= 5 mph
The time which the two meet = distance/ relative speed
Distance = 1/3 miles, which equals 0.33 miles
Time taken by Daniel to catch up with Frank is = 0.33/5 =0.066 hours = 4 minutes.
Learn More
Relative speed: brainly.com/question/10681729
Keywords: car, travelling, miles,started at the same point,catch up with
#LearnwithBrainly
Answer:
Width = 2 feet
Length = 6 feet
Explanation:
Variables:
Perimeter = p
Length = l
Width = w
Equation:
2w + 2l = p
It is given that:
l = 3w
and
p = 16 feet
With this information, we can rewrite the equation (substitute)
2w + 2(3w) = 16
Simplify
2w + 6w = 16
Add
8w = 16
Divide both sides of the equation by 8
Width = 2 feet
Length = 3(w) = 3(2) = 6 feet
Hope this helps :)
The value of variable a, when b = 6 and c =13/2 as given in the task content is; a = 2.5.
<h3>What is the value of a when b = 6 and c =13/2?</h3>
It follows from the task content that the value of the variable, a in discuss be determined by means of the equation which relates all three variables;
a² + b² = c²
a² +6² = (13/2)²
a² = 42.25 - 36
a² = 6.25
a = 2.5
Ultimately, the value of variable a, when b = 6 and c =13/2 as given in the task content is; a = 2.5.
Read more on evaluating expressions;
brainly.com/question/3590570
#SPJ1