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explain why not all solutions represented by inequation are always possible solutions in reality.
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.
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter is 919.4 cubic meter.
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
114.9 meter
Step-by-step explanation:
v=(2/3)πr^3
diameter=2r
r=7.6/2
r=3.8
(2/3)π* (3.8)^3
~36.58π meter
if the teacher wants you to use 3.14 as π (like instead of writing the symbol of π), then 36.58*3.14=114.9 meter
brainliest if its right
Answer:
14
Step-by-step explanation:
28=Diameter
Radius= D/2
=14
Mr kepner recorded for the last 7 years the number of students in his classes who owned cell phones the mean of his data is 15 and the median is 18 which of the following statements is true?
Answer:
A
Step-by-step explanation:
Median means the number in the middle and if there is 7 numbers then one is in the middle which is 18 so at least one year he had 18 students who owned a phone.
0.6 ÷ 30 = (0.6 ÷ 3) ÷ 10 = 0.2 ÷ 10 =
Answer:
0.02
use BODMAS
bracketorderdivisionmultiplicationaddition subtraction⇒ 0.6 ÷ 30
⇒ (0.6 ÷ 3) ÷ 10
⇒ 0.2 ÷ 10
⇒ 0.02
Let's see
0.6÷303×10=30
So
(0.6÷3)÷100.2÷10(0.2÷2)÷50.1÷50.02Please Help!!
What type of transformation happened from (x,y) --> (-x,y)?
-----
A.Rotation 90*
B.Reflection over the y-axis
C.Translation left 1
D.Reflection over the x-axis
Answer:
B
Step-by-step explanation:
This is a reflection over the y-axis. The x value is changing sign while the y value is staying the same. The general rule for a reflection over the y axis is (x,y) --> (-x,y), and similarly for a reflection over the x axis is (x,y) --> (x,-y). When you reflect a point over an axis, you flip the sign of the opposite value.
PLEASE HELP!
A triangular sign has a 45 degree angle angle and a 52 degree angle. Describe how you could find the 3rd angle of the sign
Answer:
83
Step-by-step explanation:
X + 52+45=180
X=180-97
So, x= 83
-note sorry for getting the question wrong it is now fixed.
Answer:
83
Step-by-step explanation:
triangles are 180º
45 + 52 = 97
180 - 97 = 83
o Mr. Math S. Fun is looking for his missing pair of
socks. He had 8 pairs from the beginning. 1 red pair,
3 blue pairs, 4 green pairs. He uses 7 pairs last week
and he knows he has a pair of socks remaining. He
left clues on what he used each day last week, help
him which among his socks missing?
Answer:
1/3
Step-by-step explanation:
add all of the totals including the missing pair
we now have 24
7+1 is 8
24 minus 8 is 16
24 can be split into 2 groups of 8
and we have 2/3 left. which makes our solution 1/3
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
pls help im really bad at this stuff
Answer:
Student B
Step-by-step explanation:
Student B
Their wages increase at intervals of $6 each hour.
6*1 = $6
6*2 = $12
6*3 = $18
6*4 = $24
6*5 = $30
6*6 = $36
6*7 = $42
6*8 = $48
This shows a proportional relationship between the wages earned and the number of hours worked.
Hope this helps!
A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. Based on past data, how many of the next 65 pieces of jewelry sold should you expect to be bracelets?
Answer:
30
24 : 28 would equal 6 : 7
[tex]6/13[/tex] x 65 = 30
Use the proportion of the bracelets
The no. of bracelets are expected to sold are 30 pieces.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.
∴ No. of pieces of bracelets expected to sold are,
= 6/(6 + 7)×65.
= (6/13)×65.
= 6×5.
= 30 pieces.
learn more about ratios here ;
https://brainly.com/question/13419413
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Hank pays $186 a week to rent a room. Next week his landlord is going to raise his rent to $196 per week. What is the percent of increase?
Answer:
The percent of increase is 5%
Step-by-step explanation:
Ken, Leon, and Mark collect seashells as a hobby. Ken has (3x - 5) seashells, Leon has (2x + 1) seashells, and Mark has (0.25x + 7) seashells. a. Write an expression for the total number of seashells they collected. b. If the total number of seashells they collected is 45, determine the number of seashells each of them have.
Answer:
Ken, Leon, and Mark collect seashells as a hobby. Ken has (3x - 5) seashells, Leon has (2x +1) seashells, and Mark has (0.25x + 7) seashells. a. Write an expression for the total number of seashells they collected.
The answer:
Ken has 5 shells, Leon has 2 shells, Mark has 1.50 shells
how do we know:
because the 5 is negative we have -5 + -5=0 because negatives only go up by subtracting so 0+-5 is 5.
because the 1 is positive we can do 1+1 as were doing 2x1 so 1+1=2.
because we are doing 0.25x7 we need to know that we can flip the problem so we get 7x0.25. this makes things easy for you and me, we already know that 4 0.25's make 1 and we also know that 0.25+0.25 is 0.50 and 1 + 0.50 is 1.50 or just 1.5
hope this helps!
Could anyone please help me with these questions? PLEASE show all the work and I'll give u the brainiest.
1. A circle has a diameter from (8,2) to (0,2). Find the coordinates of the center of the circle and find the area. Use 3.14 as pi.
2. An amusement park just build a brand new Ferris wheel. But the Ferris wheel rolled 4 revolutions before coming to stop. The diameter of the Ferris wheel is 520 feet. What's the area of the circle? <----I'm not sure what was the question at the end I'm sorry but I think it was that.
Answer:
2. 212264
Step-by-step explanation:
Area of circle: 3.14(r^2)
we need to divide the 520 in half first
520/2 = 260
Now we do the equation!
3.14(260^2)
We get 212264 as our final answer :)
Havea great day!!
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Every month, Jim makes $49 less than his best friend Keenan.
Let m represent the amount of money that Jim makes every month
and let d represent the amount of money that Keenan makes every
month.
Write an equation to represent the relationship between m and d.
Answer:
m+49=d ; d-49 = m
Step-by-step explanation:
Jim $ = m
Keenan $ = d
m+49=d ; d-49=m
btw please lmk if i get this wrong
Answer:
m + 49 ≥ d - 49
Explanation:
m + 49 is the money that Keenan makes.
d - 49 is the money Jim makes.
According to this line plot, 3 players on this team each had 15 strikeouts for a total of 45 strikeouts. How many strikeouts did this team have in one season?
Answer: 195
Step-by-step explanation: (3x15)+(5x16)+(2x17)+(2x18)=195
Algebra quadratic functions and data, please help
Answer: 60
Step-by-step explanation:
the answer is fx=60
Solve rational Equation
Please Show Full Steps Please!
Answer:
x=1
Step-by-step
Step 1:
Simplify x/x2
Dividing exponential expressions :
1.1 x1 divided by x2 = x(1 - 2) = x(-1) = 1/x1 = 1/
Equation at the end of step 1:
2 1 1
(((—+1)-—)-1)-((2•—)-1) = 0
x x x
STEP 2:Rewriting the whole as an Equivalent Fraction:
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (x) 2 - x
——— = ———
x x
Equation at the end of step 2:
2 1 (2-x)
(((—+1)-—)-1)-————— = 0
x x x
STEP 3:
Simplify 1/x
Equation at the end of step 3:
2 1 (2 - x)
(((— + 1) - —) - 1) - ——————— = 0
x x x
STEP4:
Simplify: 2/x
Equation at the end of step 4:
2 1 (2 - x)
(((— + 1) - —) - 1) - ——————— = 0
x x x
STEP 5:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
2 + x x + 2
————— = —————
x x
Equation at the end of step 5:
(x + 2) 1 (2 - x)
((——————— - —) - 1) - ——————— = 0
x x x
STEP 6:Adding fractions which have a common denominator :
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+2) - (1) x + 1
——————————— = —————
x x
Equation at the end of step 6:
(x + 1) (2 - x)
(——————— - 1) - ——————— = 0
x x
STEP 7:
Rewriting the whole as an Equivalent Fraction :
7.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(x+1) - (x) 1
——————————— = —
x x
Equation at the end of step 7:
1 (2 - x)
— - ——————— = 0
x x
STEP 8:
Adding fractions which have a common denominator :
8.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1 - ((2-x)) x - 1
——————————— = —————
x x
Equation at the end of step 8:
x - 1
————— = 0
x
STEP 9:
When a fraction equals zero :
9.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-1
——— • x = 0 • x
x
Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-1 = 0
.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
One solution was found :
x = 1
The average weight of a male African elephant is 15,000 pounds. How many tons is this?
HELP ASAP!!! DUE IMMEDIATELY!!!
3. Find Each Angle Measure. you only need to say the answer and on which one. I will be giving extra points to those who answer and answer legitimately
Answer:
Angle ABD is 16 degrees and Angle DBC is 74 degrees
Step-by-step explanation:
Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)
Find the perimeter of a triangle with sides lengths 8, 10, and 12.
36
14
15
30
Answer:
30
Step-by-step explanation:
Answer:
its 30
Thats my solving process , As its scalene triangle so use its formula
perimeter of triangle= a+b+c
Step-by-step explanation:
Let the sides lengths of the triangle be a, band c respectively
given ,
a= 8
b= 10
c = 12
To find : perimeter of the triangle = ?
We know ,
Perimeter of triangle = a+b+c
= 8+10+12
= 30 cm²
therefore, the perimeter of the given triangle is 30 cm ² .
If angle three is equal to 6x+16 and angle seven is equal to 2x+2 , solve for x.
Answer:
-3.5
Step-by-step explanation:
6x + 16 = 2x + 2
4x = -14
x = -3.5
Step-by-step explanation:
3 and 7 are equal because they are corresponding angles
6x+16=2x+2
6x-2x=2-16
4x= -14
x= -3.5
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (4, 0) and (0, 3) as end points. One of the legs has length 4.
Use the Point and Segment tools to draw a right triangle that demonstrates the other leg length is 3.
Step-by-step explanation:
They have already done the math for you, you just need to draw a line with the length of 3 units, so it would look like this:
Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks
Answer:
This line has a slope of 0, with the equation being y = -4
Step-by-step explanation:
Slope can be found with change in y over change in x
[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]
Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.
If you draw a right triangle inside a sphere, which statement about the legs of the right triangle is TRUE?
Each leg of the right triangle is greater than the radius of the sphere.
Each leg of the right triangle is equal to the hypotenuse of the sphere.
Each leg of the right triangle is less than the radius of the sphere.
Each leg of the right triangle is equal to the radius of the sphere.
Answer:
The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect
Answer:
Each leg of the right triangle is equal to the radius of the sphere.
Step-by-step explanation:
I took the quiz and it was right
Rotation: 180° about the origin
(SEND HELP) 50 points!!
Answer:
A And D
Step-by-step explanation:
THOSE ARE THE CORRECT ANSWER.
Answer:
3units, 4units, 8 units and 12units, 6units, 4units. Aka A and D
Step-by-step explanation:
64+25220 Find the volume of each figure. Round your answers to the nearest whole, if necessar 20) 19) 5 yd 7 yd 8 yd 5 cm 6 cm 4 cm 8 yd 7 yd 4 cm 6 cm 3 con sum
Answer:
19) 280 cm³
20) 120 cm³
Step-by-step explanation:
v= l×w×h
19) 7×5×8 = 280
20) 6×5×4 = 120
A counter recorded 254 revolutions of the bicycle wheel diameter 5/4 how far did bicycle travel use 22/7 for pi
Answer:
In 254 revolutions, the bicycle will travel [tex]997.85m[/tex].
Circumference :
The circumference of bicycle is given as,
[tex]C = \pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that, [tex]d = \frac{5}{4}, \pi = 22/7[/tex]
Substitute values in above equation.
[tex]C = \frac{22}{7} * \frac{5}{4}[/tex]
[tex]C = \frac{110}{28} = 3.93[/tex]
In 254 revolutions of the bicycle wheel is, [tex]C = 254 * 3.93 = 997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
brainly.com/question/14283575
Your question was incomplete. Complete question is here:
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."