Step-by-step explanation:
we simply need to get the total distance and the total time and put them into relation, norming it to distance in 1 hour. after all, speed is always an average number over a period of time (even if it is a tiny period of time).
the total distance is
72 + 69 = 141 km
he drove 69 km going 60 km/h.
how much time did he need ?
we need to get the hours out of an expression of km and h.
so, we need to do
69 km × 1/60 km/h = 69 h / 60 = 69 minutes = 1.15 hours =
= 1 h 9 minutes
so, the total time was
48 + 69 = 117 minutes = 117/60 = 1.95 hours
the average speed for the whole trip was then
141 km / 1.95 h = 141/1.95 km / 1 h = 72.30769231... km/h
Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
Question #1, refers to the graph that appears on the left:
The graph is comprised of 4 segments.
All of the segments are linear.
Segment 'B' is the only one that's rising.
Question #2, also refers to the graph that appears on the left:
As discussed in the answer to Question #1,
interval-B is a segment that's linear and rising.
Question #3:
Keisha runs to Natasha's house, stays there for 15 minutes,
then ... with Natasha ... runs the rest of the way to swim practice.
If the story is graphed, the graph has 3 segments. Since the slope
of each segment is Keisha's speed during that interval:
-- the middle segment will have no slope, while she sits motionless
at Natasha's house;
-- the 1st and 3rd segments will have positive slopes, while Keisha
is running.
Choice A). Terrible choice. It says that at time=0, when Keisha begins
running, she is 5 blocks from home. Then it says that the line decreases,
as if she runs from there toward her house. Not a good choice.
Choice B). Somewhat better, but doesn't fit the story. This graph
says that she starts from her house, runs at 3 different speeds
until she is 9 blocks away, then immediately turns around and
spends the next hour running back home. Also not a good choice.
Choice C). This is it. If I had not read the story and just saw this graph,
I could see that Keisha started at her house, ran 5 blocks away from in
0.25 hour, stayed at that -place for the next 0.25 hour, then ran to some
place that was 9 blocks from her house in another 0.25 hour, and finally,
stayed there for the next hour. That's all the information that appears on
this graph, but it certainly matches the story, and additionally tells us
how long she stayed at swim practice.
Choice D). Now that we know we have a good graph in choice-C,
this one is not only wildly wrong, but it's funny too.
This graph says that at time zero, Keisha is 5 blocks away from her
house, and she stays right there for 0.3 hour. She moves 1 block
from there in the next 0.2 hour, then stays at THAT place for the next
0.3 hour, and finally proceeds steadily to 9 blocks from her house
over the next 0.95 hour.
Question #4. Refers to the graph on the right side.
This graph is comprised of 5 linear segments. The slope of
each segment is the rate at which the level of water in the tub
is changing. A rising line says that the water level is rising.
A falling line says that the water level is falling. If the water
level isn't changing, then the slope of the line is zero ... it's
a horizontal segment.
Before we even look at the story, let's look at the graph:
Segment A: the tub is empty at time zero, then rises slowly
for about 8 minutes;
Segment B: suddenly at 8 minutes, the level rises by 50%
(from level 20 to level 30) in 2 minutes or less;
Segment C: for the next 15 minutes, the level doesn't change;
Segment D: the water drops quickly to level-20 in 2 minutes or less;
Segment E: in about 8 minutes, the water level drops slowly to zero.
If somebody told us that this was the graph of a girl taking a bath,
we could just about read the story from the graph:
A: filling the tub from the faucets ... takes 8 minutes;
B: the person slowly and carefully getting into the tub, making the level rise
C: the person in the tub;
D: the person slowly and carefully getting out of the tub;
E: the tub emptying in 8 minutes.
Now I'm ready to look at the choices.
OK. I see that the question is only asking about segment-C.
K ran water to fill the tub ... No. The level isn't changing.
K emptied the tub ... No. The level isn't changing.
K got into the tub ... No. The level isn't changing.
K soaked in the bathtub ... Yes ! The level isn't changing.
Answer:
5 m
Step-by-step explanation:
You know the area of a parallelogram is the product of its base length and height:
area = base × height
Fill in the given values, and solve for height:
60 m² = (12 m) × height
(60 m²)/(12 m) = height = (60/12) m
height = 5 m
The height is 5 meters.
Answer:
2/27
Step-by-step explanation:
In the question we have:
4 snickers
2 packages of M&M's
3 Butterfingers.
Total number of candies in the Halloween bag = 9
Probability of selecting some M&M's and putting them back = 2/9
Probability of selecting a Butter finger = 3/9
Therefore, the probability of selecting some M&M's, putting them back, and then selecting a Butterfinger =
Probability of selecting some M&M's and putting them back × Probability of selecting a Butter finger
2/9 × 3/9
= 6/ 81
= 2/27
