Answer:
Sian would receive 20 Pounds while Abigail would receive 10 Pounds.
Step-by-step explanation:
Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.
If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be
T : 2T (Ratio of Abigail's gae to Sian's age)
The amount received by Abigail
= T/(T + 2T) × 30
= T/3T × 30
= 1/3 × 30
= 10 Pounds
The amount received by Sian
= 2T/(T + 2T) × 30
= 2T/3T × 30
= 2/3 × 30
= 20 Pounds
Answer: for question 1, i think you have to put yes because absolute value is always positive so it´s 6.5 and the opposite of -6.5 is 6.5
Step-by-step explanation:
The one way to determine factors of x³ + 11x² – 3x – 33 will be 
.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
We will find the final solution as .
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be .
To learn more about the factorization refer to the link;
brainly.com/question/24182713
To find the midpoint of a line use the midpoint formula which is M = (x1+x2/2 , y1 +y2/2) After plugging in the coordinates for your variables you should get (-1+5/2, -1+2/2) This simplifies to (2, 1/2) which is the coordinates for the middle point of the base XY.
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.
