Why aren't all solutions to an inequality possible in reality?
(TL;DR at the bottom, but the full explanation is better)
Let's answer this using an example.
The equation 2x + 5 > 10 can represent a lemonade stand's sales. What do each of the numbers represent in a real-life situation?
x represents the amount of lemonade glasses sold 2 (dollars) represents the price of each glass of lemonade5 represents the base profit that the stand opened with10 represents the goal for profitA solution for this equation would be x = -3:
2x + 5 > 10
2(-3) + 5 > 10
6 + 5 > 10
11 > 10 - True
Another solution is x = 11/3:
2x + 5 > 10
2(11/3) + 5 > 10
(22/3) + 5 > 10
(37/3) > 10
(36/3)+(1/3) > 10
12 and (1/3) > 10
These are solutions to our inequality from a mathematical standpoint but are both implausible in real life.
Assuming that reasonable would mean a full glass, -3 and (11/3) are possible answers, but can't be reasonably sold. -3 glasses of lemonade can't be sold, and neither can (11/3) of a glass of lemonade.
Therefore, these values create a situation where "not all solutions represented by inequation are always possible solutions in reality."
TL;DR:
Not all solutions are possible because the value that makes the inequation true is not reasonable or feasible under realistic circumstances, such as a fraction value for people or a negative value for possession.
Hello, Again i need help again
Answer : = -16
hope it helped! :)
:D
For a science project, Chase recorded the amount of rainfall for 6 weeks. The line plot shows the amounts of rainfall he recorded. How many inches of rainfall were recorded?
Answer: B
Step-by-step explanation:
To answer this , we need to make a list of all the fractions represented with the dots . each dot stands for 1 of whatever fraction is given. for example, there are 2 dots on 3/8 . That means each dot=3/8
3/8, 3/8, 4/8, 5/8, 7/8.
Step 2: Add them up (because we want to find the total)
3/8+3/8+4/8+5/8+7/8= 6/8+4/8+5/8+7/8= 22/8= 2 6/8= 2 3/4
2 3/4 , or 2 6/8 is the answer; it's all the rain that was recorded .
Line plot shows the amounts of rainfall is equals to [tex]2\frac{6}{8}[/tex] inches.
What is line plot?" Line plot is defined as the representation of the data using point on the number line."
According to the question,
Number of weeks for which rainfall is recorded = 6
Data represents on the line plot = [tex]0, \frac{3}{8} ,\frac{3}{8}, \frac{4}{8}, \frac{5}{8}, \frac{7}{8}[/tex]
Total amount of rainfall recorded on line plot in inches
= [tex]0+\frac{3}{8} +\frac{3}{8}+\frac{4}{8}+\frac{5}{8}+ \frac{7}{8}[/tex]
= [tex]\frac{22}{8}[/tex]
= [tex]2\frac{6}{8}[/tex] inches
Hence, Option(B) is the correct answer.
Learn more about line plot here
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#SPJ3
Below is a two-way table for a college basketball team during the NCAA playoffs. Complete the table. What is the value of each basket on average.
Answer:
64%
Step-by-step explanationI added total and points earned and divided 66/102 and I got 0.64. I moved my decimal 2 places to the right and got 64%
Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class.
art: mean absolute deviation of 2.1
Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?
art
creative writing
Spanish
Explanation:
MAD = mean absolute deviation
The larger the MAD, the more spread out the scores will be.
Therefore, Maggie has the most spread out scores in her creative writing class.
Missy recorded the number of minutes she spent exercising for the last 11 days. The table below shows some of her data. if the mean of her data is 25 and there is no mode which two numbers could be the number of minutes for 6 days and 7?
This figure represents a flower box.
How much soil will it take to fill the flower box?
Enter your answer in the box.
__in3
(I already know the answer, its 2200)
Answer:
2200
Step-by-step explanation:
The 2200 cubic inches the soil will take to fill the flower box.
It is given that the picture shows a figure with dimensions in inches.
It is required to find how much soil will it take to fill the flower box.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
The soil will take to fill the flower box = volume of the given figure.
The figure is made up of two cuboids so,
The soil will take to fill the flower box = first cuboid volume + second cuboid volume
In the first cuboid, length = 8 in, width = 5 in and hieght = (10+9) in = 19 in
In the second cuboid, length = 8 in, width = 20 in and hieght = 9 in.
We know the volume of cuboid 'V'
V = length × width × height
[tex]\rm V=8\times5\times19+8\times20\times9 \\ V= 760 +1440\\ \rm V= 2200 \ in^3[/tex]
Thus, the 2200 cubic inches the soil will take to fill the flower box.
Learn more about the cuboid here:
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HELP ASAP! I NEED 5b ONLY!!!
Answer:
You want to find the treasure shown on the map. To get to the treasure, start at 1% and move to 100%. The only way you can move on the map is if a number is greater than the number you are currently on.
Step-by-step explanation:
help answer with explanation please
Answer:
A.) x/6 = 31/28
Step-by-step explanation:
x = Actual height of Julian
x/6 = 31/28
As 31 is the actual height of the building, you're comparing those.
If line m || line n and Ð2 measures 47°, what is the measure of Ð5?
Answer:
133°
hope it helps!! :))
Drag each statement to the correct location on the table. Each statement can be used more than once.
Amelia creates three dot plots to record how many minutes she practices piano on different days in March, April, and May.
Drag each statement to the box in the table next to the dot plot it correctly describes.
The measure of
center is around
30 minutes.
The measure of
center is around
20 minutes.
The measure of
center is around
10-15 minutes.
Answer:
The measure of
center is around
30 minutes. April
The measure of
center is around
20 minutes. March
The measure of
center is around
10-15 minutes.May
Step-by-step explanation:
Answer: switch the bottom two around the answer on the bottom is wrong
Step-by-step explanation:
Find the area of the shaded region. Round your answer to the nearest hundredth
Answer:
20ft squared
Step-by-step explanation:
area = multiplication
4 x 4 = 16ft
16 rounded = 20
(25 POINTS) Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?
A. 1 and 6
B. 4 and 8
C. 3 and 7
D. 1 and 5
Answer:
Answer is A.
Step-by-step explanation:
how can you write 70% as fraction?
Quickly help please!!! An angle measures 162° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Your answer is 18 ° and 162 °
Step-by-step explanation:
All you need to do is subtract the number you're given from 180.
Answer:
9 and 171 degrees
Step-by-step explanation:
Let the first unknown angle be x. Then the second is x + 162 degrees. Then, since supplementary angles sum up to 180 degrees,
x + x + 162 degrees = 180 degrees, or
2x = 18 degrees. Therefore the first angle is 9 degrees and the second is 171 degrees.
ILL GIVE BRAINLIEST TO THE CORRECT ANSER BUT ANSWER ASAP
Answer:
35
Step-by-step explanation:
The square root of 35 is 5.9160797...
Solve for X
X²=100
Will choose brainliest
Answer:
the value of x is 10
Step-by-step explanation:
x² = 100
Take square roots
x = √100
x = 10
Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50. The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.
Answer:
Answer: 1 2 and 4
Step-by-step explanation:
I think these are the answers because 50 x 2 = 100 and 25 x 2 = 50. When you add these you get 150. Also p = L + L + W + W or 2L + 2W
Answer:
A, B, C and E
Step-by-step explanation:
I just did it
A bus route currently has an average of 1,275 riders per day. A transportation engineer estimates that there will be 5.7% more passengers riding the bus route next year and 6.5% more passengers the year after that. According to the engineer’s estimate, about how many passengers will ride the bus route two years from now rounded to the nearest whole?
Answer:
1,435 passengers
*Brainliest would be appreciated.
Step-by-step explanation:
brainliest if its right
Answer:
14
Step-by-step explanation:
28=Diameter
Radius= D/2
=14
Please Help I'll give brainiest!! (answer quick please!!!!)
1) Which statement is correct for the graph of the specified function?
A) The minimum value of the quadratic function occurs at x = 0.
B) The maximum value of the quadratic function occurs at y = 0.
C) The x-values of the linear function increase as the y-values decrease.
D) The x-values of the linear function decrease as the y-values increase.
------
2) Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
Answer:
im pretty sure that the first one is C, but the other one i don't know
Answer:
Q: Which statement is correct for the graph of the specified function?
A: The x-values of the linear function increase as the y-values decrease.
Q: Which statement is correct for the graph of the specified function?
A: The maximum value of the quadratic function occurs at y = 4.
Step-by-step explanation: The minimum value of the quadratic function occurs at x = 0 is false because this quadratic does not have a minimum value. It has a maximum value when y=4. The true statement is that the x-values of the linear function increase (go up) as the y-values decrease (go down). Also i took the test
What is the first step in solving the system shows using the elimination method?
{3x-12y=5
{3x-y=9
A. Multiply each term in 3y - x = 9 by 12.
B. Multiply each term in 3y - x = 9 by -12,
C. Rewrite the equations so like variable terms are in the same order.
D. Add the corresponding sides of each equation.
Answer:
Step-by-step explanation:
I'm not sure what you mean by those steps mean but here is how I would answer using the elimination method:
3x - 12y = 5
minus (each term separately: 3x - 3x, -12y - -y, and 5 - 9)
3x - y = 9
This eliminates the 3x and = -11y = -4
You can then simplify from there and get y = 4/11
Question 1
Indicate the answer choice that best completes the statement or answers the question.
In a scale drawing, the length of a rectangular room is 6 inches, and the width is 3 inches. the actual length of the room is 18 feet.
A What is the scale of the drawing.
B In a new scale drawing of the same room, the length of the room measures 4 inches. What is the scale of the new drawing? Explain
Answer:
A. 1 : 36
B. 1 : 54
Step-by-step explanation:
1 feet = 12 inches
A.
rasio = scaled length : actual length
= 6 inches : 18 feet
= 6 inches : (12 × 18) inches
= 6 : 216 ⇒ omit the units when both units are the same
= 1 : 36
B.
rasio = scaled length : actual length
= 4 inches : 18 feet
= 4 inches : (12 × 18) inches
= 4 : 216 ⇒ omit the units when both units are the same
= 1 : 54
Please help. True or false?
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Circumference of a circle: [tex]2\pi r[/tex]Diameter of a circle: 2 in.Radius of a circle: d/2 (2/2 = 1 in.)[tex]\pi =3.14[/tex]Circumference of a circle: [tex]2\pi r[/tex]
[tex]2\pi r\\2*\pi*1\\2\pi\\2(3.14)\\6.28\ in.[/tex]
Therefore, the statement is true. The circumference of the circle is 6.28 inches.
Hope this helps!
please help me I need a lot of help :(
I WILL GIVE BRAINLIEST! If =) represents 14 people, how many people would be represented =) (and a half) by ?
21 people
14 people
7 people
28 people
Answer:
21 people
Step-by-step explanation:
Lets define x as =). If x is 14, 1.5x will be 21.
Please answer the question.
Pls help me with this
Answer:
Library A: 1500 books
Library B: 900 books
Library C: 3250 books
Library D: 750 books
Library E: 3000 books
From GREATEST to LEAST
Library C, Library E, Library A, Library B, then Library D
A company that makes and sells riding lawnmowers determines that the demand for
lawnmowers is () = −/ + How many lawnmowers must be sold to maximize
revenue and what price must be charged for the lawnmowers to maximize revenue?
-use a representation(example step one, step two,
-use verbal explaination explaining each step
Answer:
2
Step-by-step explanation:
The average weight of a male African elephant is 15,000 pounds. How many tons is this?