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.
Please Someone help!!!!!! Due in 28 minutes!!
Ayo i need help fast!
Answer:
A
Step-by-step explanation:
if you need further explanation tell me but i'm assuming you're taking a test
Bananas cost 1.50 per pound, and guavas cost 3.00 per pound. Kiran spends 12 on fruit for a breakfast his family is hosting. He buys b pounds of bananas and pounds of guavas. Here is your equation from Problem 4.1: 1.50b+3g=12 If he buys 4 pounds of bananas, how many pounds of guavas can he buy?
Frank left his house at 7 a.m. and drove to the airport at
a speed of 50 mph. Lance left his house at 6 a.m. and
drove to the same airport at a speed of 55 mph. Frank's
house is 150 miles from the airport and Lance's house
is 220 miles from the airport.
At what time did Lance arrive at the airport?
Answer:
10 AM
Step-by-step explanation:
Frank drove at a speed of 50 mph, and traveled a distance of 150 miles. This means he traveled for 150/50 = 3 hours. 7 AM + 3 hours = 10 AM
Which of the following measures would produce TWO possible triangles?
two sides of 4 cm and 7 cm with an angle of 54° not between those two sides
two sides of 4 cm and 7 cm with an angle of 54° between those two sides
three angles: 62°, 34°, and 84°
three sides: 4 cm, 7 cm, and 9 cm
Answer:
The two possible measures tobproduce a ️ are ''Three angles: 62, 32°, and 84°" & "Three sides: 4cm, 7cm, and 9cm"
The triangle is formed by two sides of 4 cm and 7 cm with an angle of 54° between those two sides
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Two sides of 4 cm and 7 cm with an angle of 54° between those two sides would produce two possible triangles.
This is because if the angle is between the two sides, the two sides can be positioned in two different ways to form two distinct triangles, whereas if the angle is not between the two sides, only one triangle can be formed.
The other measures listed do not provide enough information to determine if there are one or two possible triangles.
Hence , the triangle is solved
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how can you write 70% as fraction?
What’s the answer?
Pls this is due tomorrow
The mass of Saturn is 2000 more than the mass of Mercury.
Answer:
The mass of Saturn is 2000 more than the mass of Mercury
Step-by-step explanation:
I don't understand it!
Answer:
B) 69% of employees hold a Bachelor's Degree.
Step-by-step explanation:
Answer:
I think 69% of employees hold a bachelor’s degree
Step-by-step explanation: the second option
15 is 20% of what number?
A.3
B.12
C.30
D.75
Answer:
D.75 is the answer
Step-by-step explanation:
We already have our first value 15 and the second value 20. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 115 = 20% × Y
STEP 215 =
20
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
STEP 3Y = 15 ×
100
20
STEP 4Y = 15 × 100 ÷ 20
STEP 5Y = 75
Finally, we have found the value of Y which is 75 and that is our answer.
You can easily calculate 15 is 20 percent of what number by using any regular calculator, simply enter 15 × 100 ÷ 20 and you will get your answer which is 75
Answer:
75
Step-by-step explanation:
15 is 20% of What Number?
15 is 20% of What Number? - 15 is 20% of 75. 100% of 75 is 75, therefore 20 percent of 75 equals 15. To learn how to solve 15 is 20 percent of what number, see the step by step instructions below.
15 is 20 Percent of What Number?
75
Formula = Number x 100
Percent = 15 x 100
20 = 75
Following shows the steps on how to derive this formula and find out 20% of what number is 15.
Step 1: If 20% of a number is 15, then what is 100% of that number? Setup the equation.
15
20% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
20Y = 15 x 100
20Y = 1500
Y = 1500
100 = 75
If 3m = 12, what is the value of 6(m - 1) ?
Answer:
1. m=4
2. 6m-6
Step-by-step explanation:
well 3m=12 divide 3 on both sides m=4
so 6(m)=6m-6(1)= 6m-6
Hi everone can you help i will be sending more qusetions each one is 10 points thank you
Answer:
144 cubic inches
Step-by-step explanation:
volume = l x w x h. This = 8 x 6 x 3.
Hope this helps :)
A rectangular prism has a length of 4 in., a width of 2 in., and a height of 212 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, ___ cubes are needed.
Answer:
V = 1696 in3
Step-by-step explanation:
your asking how many cubes are needed to fill the rectangle which just means your asking for the volume, if you multiply L*W*H you'll get the answer
hope that helps
if you were to roll the dice one time what is the probability it will NOT land on a 4?
Answer:
5/6 because there is six sides and you take away the 4 .
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
total no.of trials= 6 (because dice has six numbers )chances of not getting 4 is 5
hence the answer is 5/6
Write an equation that demonstrates the identity property of multiplication. Your equation should include a fraction multiplied by a whole number that will result in a product less than 10. I NEED THIS ANSWER PLEASE HELP ME NO WEBSITE IF YOU GIVE ME A WEBSITE NO POINTS Dont TYPE SLO* TYPE FAS* because i need this answer can somebody help me
Answer:
Well here are a bunch of answers:
1 × 1 = 1, 2 × 1 = 2, 3 × 1 = 3, 4 × 1 = 4, 5 × 1 = 5, 6 × 1 = 6, 7 × 1 = 7, 8 × 1 = 8, 9 × 1 = 9.
Step-by-step explanation:
The reason behind this is because the Identity Property of Multiplication says any number times 1 is that number. x · 1 = x.
Select all the events that are possible, but unlikely.
•opening a 300 oage book to exactly page 143.
• a second grade classroom contains some books.
•you will roll a 7 on a standard 6 sided number cube.
•everyone in your school will get to school on time on the next school day.
•a triange has 3 sides.
Answer:
opening a 300 page book to exactly page 143.
everyone in your school will get to school on time on the next school day.
Step-by-step explanation:
"Opening a 300 page book to exactly page 143" and "everyone in school will get to school on time next day" are the possible but unlikely events.
Unlikely event:
If something which probably will not happen and actually happens.
Certain event:A certain event is an event that is sure to happen. E is a certain event if and only if P(E) = 1.
According to the given question
Opening a 300 page book to exactly page 143 is a random event and very unlikely to happen.A second grade classroom contains some books it is an event with high probability.Getting a 7 on a standard 6 sided number cube , it is an impossible event.Everyone in school will get to school on time on the next day is also a random event and very unlikely to happen.A triangle has 3 sides , it is a certain event.Hence, first and fourth are possible but unlikely events.
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Please answer the question down below!
Answer:
<B=68
Step-by-step explanation:
complementary means that they add up to 90 degrees, so just like the last one, all you ahve to do is subtract 90-22=68 degrees
A lifeguard fills a pool with water at a constant rate. After 1/2 hour, 1/3 of the pool is filled.
At this rate, what fraction of the pool is filled per hour?
Answer: 2/3 of an hour.
Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour. If she fills it for an hour, she'll get 2/3 of the pool filled. Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.
Hope this helps! :)
Answer:
2/3 of an hour
Step-by-step explanation:
Find the perimeter of the rectangle, in feet.
8 1/4 feet or
8.25 feet
Answer:
8 1/4 ft
Step-by-step explanation:
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?
PLEASE HELP AND HURRY Mustang middle school is getting a new frozen yogurt machine. to decide which flavors to serve, the cafeteria manager surveyed students at random. Which inference is best supported by the data collected in the survey?
A. The number of students who prefer chocolate is about the same as the combined number of those who prefer strawberry and those who prefer cookies and cream
B. Cookies and Cream is the least popular flavor
C. The number of students who prefer vanilla is lower than the number of students who prefer either chocolate or strawberry
D. The number of students who prefer strawberry is half the number of students who prefer Cookies and Cream
Answer:
So let us simplify that we have 30 x 100 divided by 40 by 100. So that will just be 30 by 40 which is equal to three x 4 and three x 4 is equal to 0.75, which also means 75%. So the probability that a student like chocolate ice cream, given that they like strawberry ice cream, movies 75%.
Step-by-step explanation:
BRAINLIEST! IF CORRECTT PLS HELP
Using a number that can be divided into both the numerator and denominator, find an equivalent fraction for this fraction.
4/6
A.1/2
B.2/3
C. 1/3
10% of a number is 15
what is that number?
Step-by-step explanation:
Let the number be x
10% of x = 15
10/100 × x= 15
⅒ × x = 15
x= 15×10
x=150
100 points
Customers of a phone company can choose between two service plans for long-distance calls. The first plan has a $28 monthly fee and charges an additional $0.15 for each minute of calls. The second plan has a $15 monthly fee and charges an additional $0.20 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer:
3x-x+2=4
Step-by-step explanation:
A stadium can seat 16,000 people at full capacity.
If there are 13,920 people in the stadium, what percentage of the capacity is filled?
? %
What percentage of the capacity is not filled?
? %
Answer:
87% taken
13% left open
Step-by-step explanation:
100/16000=0.00625
0.00625*13920= 87%
leaving 13% left
This figure represents a small brick that is to be covered on all sides with a striped fabric. How much fabric is needed to cover the brick?
Enter your answer as a decimal in the box.
Somebody help me with this? Please
Answer:
See the attached image for solutions.
Step-by-step explanation:
X-ray vision to all students ratio:
6:36, which can be simplified to 1:6.
Flight to all students ratio:
8:36, which can be simplified to 2:9.
Flight to inivisibility ratio:
8:36, which can be simplified to 2:3.
Hope this helps! :)
Answer:
X-ray vision to all students: 6:36 = 1:6
Flight to all students: 8:36 = 2:9
Flight to inivisibility: 8:36 = 2:3
Hope this helps!
Want to help me out here? (Please answer all 3)
Answer:
Step-by-step explanation:
1. There must be fewer than 5 (< 5) fish in the small quadrium. There are already 3 fish in the aquarium.
f + 3 < 5
2. r + 6 ≥ 11 {4, 5, 6, 7}
4 + 6 ≥ 11
10 ≥ 11
false
5 + 6 ≥ 11
11 ≥ 11
true
6 + 6 ≥ 11
12 ≥ 11
true
7 + 6 ≥ 11
13 ≥ 11
true
3. Jordan: burns 250 calories each hour that he walks. he wants to burn at least 375 (≥ 375) calories walking at the same rate.
h = hours
250h ≥ 375
/250 /250
h ≥ 1.5
This means that it will take him at least 1.5 (one and a half) hours to burn at least 375 calories.
Hope this helps!
Alexia biked 3.2 miles in 30 minutes. If each block is 0.4 miles, how many blocks did she bike?
Answer:
She biked 8 blocks
Step-by-step explanation:
Make a bell curve for the data: (99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64)
Answer:
Make a bell curve for the points 99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64 · The variables x and y have a proportional relationship, and y=7 when x=2.
Step-by-step explanation:
Jayden bought a playstation 4 for $396.62, including sale tax. He made a down payment of $35.00 and paid the balance in 12 equal monthly payments. What was Jayden's monthly payment for the playstation 4?
Answer:
$30.135 or if rounded up $30.14
Step-by-step explanation:
subtract 35 from 396.62
396.62 - 35 = 361.62
divide 361.62 by 12
361.62/12 = 30.135
Answer:
e
Step-by-step explanation:
Jayden bought an item for $396.62 with sale tax.
He already payed $35 as a down payment.
396.62 - 35 = 361.62
He pays the item in 12 equal monthly payments.
361.62 / 12 ≈ 30.14
(really equal to 30.135)
he pays abt $30.14 each month
hope this helps :)