Answer:
d= 12.50 miles
Step-by-step explanation:
Kinematic equation of uniform motion (constant speed) :
v= d/t Formula (1)
v: velocity in miles per hour (mph)
d: distance in miles
t: time in hours
Data
v= 50 mph
t= 0.25 hours
Problem development
We replace data in formula (1)
50 mph=d/0.25 hour
d= 12.5 miles
d= 12.50 miles
Answer:
140 centimeters.
Step-by-step explanation:
Hello!
A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.
Find the longer length:
- 2.4 into 7:5
- 2.4 = 7x + 5x
- 2.4 = 12x
- x = 2.4/12
- x = 0.2
Now, we must find the longer length, 7x.
The longer length is 1.4 meters, but we want it in cm.
There are 100 centimeters in a meter.
- 1.4 meters = 1.4 * 100
- 1.4 meters = 140 centimeters
The longer length is 140 centimeters.
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
