What is the distance from the shore to the waterfall in the image of the koi pond shown below? All measurements are in yards. Round to the nearest hundredth if needed.
3 yards
99.72 yards
13.8 yards
6.43 yards

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?

A 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.

Answer:

14

Step-by-step explanation:

28=Diameter

Radius= D/2

=14

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:

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:

Answer:

100

Step-by-step explanation:

Answer:

(20x+30x)/5

Step-by-step explanation:

20*10+30*10/5

We can swap out the 10 for "x" the amount of days Jordan works.

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

Answer:

The answer would be 100

I have done this around a month ago and got it right at my school

Answer: 195

Step-by-step explanation: (3x15)+(5x16)+(2x17)+(2x18)=195

Answer:

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The smiley face has a radius of 8 centimeters.

We need to find the area of the smiley face.

The formula to find the area of a circle is:

A = [tex]\pi[/tex]r²

A = (3.14)(8)(2)

A = (25.12)(2)

A = 50.24

The area of the smiley face would be 50.24 square feet.

hope this helps :)

Answer:

3

Step-by-step explanation:

7 x 3 = 21

7 + 7 = 14 + 7 = 21 :)

Answer:

3

Step-by-step explanation:

7*3=21

3*7=21

21/3=7

21/7=3

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 .

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.

Answer:

0.02

use BODMAS

⇒ 0.6 ÷ 30

⇒ (0.6 ÷ 3) ÷ 10

⇒ 0.2 ÷ 10

⇒ 0.02

Let's see

3×10=30

So

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."

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!

Answer:

12 and 13

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

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

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!!

Please rate!!

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!

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

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

Answer:

160

Step-by-step explanation:

he read 40 pages on the first day. he read 1/4 of the remaining pages, and still had 1/2 of the book to read. this means that 40 is about 1/4 and to find the total amount of pages, you have to multiply 40 by 4.

40 x 4 = 160

hope this helps :)

Answer:

70 pages. (If by 1 4 and 1 2, you mean fractions.)

Step-by-step explanation:

1/4 of 40 is 10. This is calculated by dividing 40 by 4, since the denominator in 1/4 is 4.

1/2 of 40 is 20. This is calculated by dividing 40 by 2, since the denominator in 1/2 is 2.

Add that together and that's 70.

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.

Answer:

there are so many ways

Step-by-step explanation:

such as observing day by day and checking its height with a scale everyday etc

The number of ways of combining different growth factors to form a level is 80.

The act of organizing all the components of a set into some sequence or order is known as permutation. Permuting, in other words, is the act of reordering the components of a set that has previously been sorted.

A permutation is the selection of r items from a collection of n items without replacement, with the order of the items being significant.

nPr = (n!) / (n-r)!

The combination is a method of picking elements from a collection in which the order of selection is irrelevant (unlike permutations).

A combination is a selection of r items from a collection of n items with no replacements and no regard for order.

nCr = (n!)/{(r!)((n-r)!)}

We are given that Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.

Growth factor Levels

Lighting: Low, Medium, High, Very high.

Age: 1 month, 2 months, 3 months, 4 months, 5 months.

Temperature: 20°, 22°, 24°, 26°.

We are asked to find the number of ways in which she can combine different levels to form one level.

We first check the number of combinations for each factor and then multiply them all to get the total number of ways possible.

Lighting: 4 (∵ All the 4 levels are possible, so the combinations are 4P1 = 4).

Age: 5 (∵ All the 5 levels are possible, so the combinations are 5P1 = 5).

Temperature: 4 (∵ All the 4 levels are possible, so the combinations are 4P1 =4).

∴ Total number of ways of combining different growth factors to form a level = 4*5*4 = 80

∴ The number of ways of combining different growth factors to form a level is 80.

Learn more about permutations and combinations at

brainly.com/question/4658834

#SPJ2

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.

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.

Answer: 60

Step-by-step explanation:

the answer is fx=60

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