Would you rather....

Would You Rather....

Answers

Answer 1

Answer:

Fred's Fit Place: 4 month membership every trimonthly

Step-by-step explanation:

Fred's Fit Place is less expensive first of all.

Secondly, You could by a one month membership every month, a two month membership every 6 months, a three month membership every 4 months or a 4 month membership trimonthly. If you do the math, the 4 month membership trimonthly is least expensive.

Answer 2

Answer:

Fred Fit's Place

Step-by-step explanation:


Related Questions

What is the value for b????

Answers

Answer:

the value is 60

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

All interior angles in a triangle add up to 180. So if you have two already, just subtract both angles from 180 to get the last angle. The equation is:

65 + 55 + b = 180

120 + b = 180

-120         -120

___________

         b = 60

Plz help! Kenneth's back yard is in the shape of a rectangle with a length of 12 yards and a width of 10 yards.A bag of grass seed costs $25.99 and covers 400 square feet.How much did Kenneth spend on grass seed to cover his back yard?

Answers

First, we have to work out the area of the backyard using the formula base times height
a=12*10. So, the area of the yard is 120.
Then, we have to work out how much grass seed we need, so we put all values in a ratio
120=x
400=25.99
The, you ask yourself what do I have to divide by 120 to get 400 ( and you do this by dividing 120/400 which is 0.3)
The, you also multiply 25.99 by 0.3 to find out how much grass seed you need.
So, to cover an area of 120yd^2, you need $7.80 worth of grass seed

Answer:

EASY! First we have to find the area of the back yard.

Step-by-step explanation:

[tex]A=12*10\\A=120[/tex]

So, we have to convert feet to yards(as it's in feet and we are doing our calculations in yards).

(And also, due to the fact it's squared, we have to square our coefficient as well).

The formula states we have to divide by 3, thus:

[tex]\frac{400}{3^{2} } =\frac{400}{9 }=44.444...[/tex]

Hmmm. Might be better if we do it the other way around. Might be simpler.

Thus:

[tex]120*9=1,080[/tex]

So then we divide 1,080 by 400, as the bag covers 400 feet

[tex]\frac{1080}{400} =2.7[/tex]

So, he needs 3 bags(as he cannot use two to cover the entire back yard). He will have a little left over, but that's okay, because he cannot buy 0.7 of a bag.

Then we multiply this by the cost!

[tex]3*25.99=77.97[/tex]

So, Kenneth would have to pay $77.97 and have a little left over!

Hope I did this right!

Hope this helps!

P.S. How are you doing during this shelter-in-place?

PLEASE ANSWER ASAP !!!!!


The difference of 3 times a number and 15 is no less than the square of the number.
Select the inequality that represents this relationship.
+
OA. 3.+ 15 > 12
O B. 3. s
OC. 31 < x2
OD. 3.-
I AL
GELABAIE VREME
O
FALSE
the First
Reset
Next

Answers

Answer: D

Hope this helps!

sorry about the first answer

Which expression represents another method of computing the product given below?6.15*(-3.11)

Answers

Answer:

The expression that represents another method of computing

Is

615/100*(-311/100)

Step-by-step explanation:

Given the expression in decimal form, we can convert this to factional form and perform product operations as an alternative computational method

6.15*(-3.11)= 19.13

In fraction 6.15 can be written as

615/100

In fraction -3.11 can be written as

-311/100

Hence The product can also be expressed as fractions

615/100*(-311/100)

Answer:

(6 x (-3.11)) + (0.15 x (-3.11))

Step-by-step explanation:

In the given expression, the term 6.15 can be written as follows.

6.15 = 6 + 0.15

Apply the distributive property.

6.15 x (3.11) = (6 x (-3.11)) + (0.15 x (-3.11))

So, another method of computing the given product is given by the following expression.

6 x (-3.11)) + (0.15 x (-3.11))

A marathon is 26.2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon?

Answers

Missing part of the question

Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.

What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?

Answer:

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

Step-by-step explanation:.

Given parameters

Miguel first run = 0.5 mile

Subsequent run = 0.2 mile

This question is an arithmetic progression.

We'll make use of arithmetic progression formula to solve this

Formula:.

Tn = a + (n - 1)d

Where a = first term

n = number of terms

d = common difference

In this case

a = first run = 0.5 mile

d = subsequent run = 0.2 mile

So, Tn = a + (n - 1)d become

Tn = 0.5 + (n - 1) 0.2

Tn = 0.5 + 0.2n - 0.2

Tn = 0.5 - 0.2 + 0.2n

Tn = 0.3 + 0.2n

The arithmetic series of an arithmetic progression is calculated using

Sn = ½(a + Tn) * n

By substituton, we have

Sn = ½(0.5 + 0.3 + 0.2n) * n

Sn = ½(0.8 + 0.2n) * n

Sn = 0.4n + 0.1n²

b.

Since the race is 26.2 miles then the least number of times is given as

Sn ≥ 26

0.4n + 0.1n² ≥ 26.2

0.1n² + 0.4n - 26.2 ≥ 0

Using quadratic formula

n = (-b ± √(b² - 4ac))/2a

Where b = 0.4 a = 0.1 and C = -26.2

So,

n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1

n = (-0.4 ± √10.64)/0.2

n = (0.4 ± 3.26)/0.2

n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2

n = 3.46/0.2 or -2.86/0.2

n = 17.3 or -14.3

Since n can't be negative

n = 17.3 miles

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

Answer:

15 times

Step-by-step explanation:

Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0​

Answers

Final answer:

To solve the equation 2x(x+3)-5(x+3)=0, distribute the terms within the parentheses and combine like terms. Then, use the quadratic formula to find the solutions of the quadratic equation.

Explanation:

To solve the equation 2x(x+3)-5(x+3)=0, let's distribute the 2x and -5 into the terms inside the parentheses: 2x^2 + 6x - 5x - 15 = 0. Combining like terms, we get 2x^2 + x - 15 = 0. Now we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 2, b = 1, and c = -15. Plugging these values into the quadratic formula, we get:

x = (-1 ± √(1^2 - 4(2)(-15))) / (2(2))

x = (-1 ± √(1 + 120)) / 4

x = (-1 ± √121) / 4

x = (-1 ± 11) / 4

So the two solutions are x = 10/4 and x = -12/4, which can be simplified to x = 5/2 and x = -3.

I REALLY NEED HELP PLEASE!!!!!!

Question in image below.

A.) ∆KHM ≅ ∆KJM


B.) ∆KHM ≅ ∆MJK


C.) ∆KHM ≅ ∆KHM


D.) ∆KHM ≅ ∆KMJ

Answers

Answer:

A.) ∆KHM ≅ ∆KJM

Step-by-step explanation:

In triangle KHJ, KM is the bisector of base HJ..(given)

[tex] \therefore \: HM \cong \: JM...(1) \\ In\: \triangle KHM \:\& \: \triangle KJM\\

KH\cong KJ... (given) \\

KM \cong KM.. (common\: side) \\

HM \cong JM... [From\: equation \: (1)]\\

\therefore \triangle KHM \cong\triangle KJM\\.. (By\:SSS\: Postulate) \\ [/tex]

Answer:

KHM = KJM or A.)

Step-by-step explanation:

YURTTTTT

3. There is 1/4 of an apple in every container of fruit. Show the number of apples in 5 containers
using a fraction.
Answer:

Answers

Answer:

Step-by-step explanation:

Instead, you will use diagrams. To solve such a problem, you must produce a diagram which clearly shows all of the fractions involved in the ... between them have eaten five of the pieces, they have eaten 5/6 of the cake. We also see that ... counting numbers with M<N), then you must show the thing, show it clearly.

5/4
1/4 in each container x 5 containers = 5/4 total

If JKL ~ MKN, find the value of x.

Answers

Answer:

x = 14

Step-by-step explanation:

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The value of x given that JKL ~ MKN is; x= 14.

According to the question;

JKL ~ MKN; In essence, both triangles are congruent.

Based on ratios; We can conclude that;

[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]

By cross product, we have;

36x - 24 = 32x + 32.

4x = 56

x = 14.

Ultimately, the value of x given that JKL ~ MKN is; 14.

Read more on congruent triangles:

https://brainly.com/question/1675117

Find the 4th term in the sequence with the following definition: See picture for sequence.
Please need help badly!!

Answers

Answer:

a₄ = - 37

Step-by-step explanation:

To find the 4 th term using the recursive formula and a₁ = - 2

a₂ = 2a₁ - 3 = 2(- 2) - 3 = - 4 - 3 = - 7

a₃ = 2a₂ - 3 = 2(- 7) - 3 = - 14 - 3 = - 17

a₄ = 2a₃ - 3 = 2(- 17) - 3 = - 34 - 3 = - 37

a 11 gram sample of substance that's used to treat thyroid disorders s has a k-value of 0.1247

Answers

Answer:

You don't have a question but I'll answer what I can.

half-life = natural log (.5) / k

half-life =  -.693147 / .1247

half-life = 5.561106656

It seems you did not express the k-value properly.

1) A k-value should have a negative value.

2) A k-value should also have units.

For example, the k-value of tungsten 181 is

-0.005723757 / days

Step-by-step explanation:

Final answer:

a half-life of 5.5 days.

Explanation:

To find the half-life (t1/2) using the decay constant (k), the formula that relates them for the decay of a radioactive substance, typically used for first-order kinetics, is t1/2 = ln(2)/k, where ln(2) is the natural logarithm of 2. Given the decay constant k = 0.125, the half-life is calculated as follows:

t1/2 = ln(2) / 0.125

t1/2 = 5.545 / 0.125

t1/2 = 5.5 days

The mass of the substance does not affect the half-life, so the initial 11-gram sample size is not used in the calculation. Thus, the substance's half-life, rounded to the nearest tenth, is 5.5 days.

What is the volume of the sphere in terms of π? V = π in.3

Answers

Answer:

the person above me is correct!

the answer is 288:)

Step-by-step explanation:

The volume of the sphere in terms of π is,

⇒ 288π inch³

What is Multiplication?

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of sphere = 6 inch

Now, We know that;

Volume of sphere = 4/3πr³

Hence, We can formulate;

⇒ V = 4/3 × π × 6³

⇒ V = 288π inch³

Thus, The volume of the sphere in terms of π is,

⇒ 288π inch³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Complete question is shown in attached image.

What is the $x$-intercept of the line perpendicular to the line defined by $3x-2y = 6$ and whose $y$-intercept is 2?

Answers

Answer:

Hi, Its still you, huh?

Step-by-step explanation:

3

because because

Answer:

3

Step-by-step explanation:

Which job is NOT a typical work-study job?

A.working in your own business


B.working at campus library or bookstore


C.off-campus job related to your course study


D.serving in the dining hall

Answers

Answer:

I feel it is D as you are always on your feet and cant find time to study. That's my guess.

Step-by-step explanation:

Answer:

D. because a waitress doesn't necessarily have to study to work.

A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of shoppers the day before. The total number of shoppers over the first 4 days is 671. How many shoppers were at the mall on the first day?

Answers

Answer:

The number of buyers on the first day was approximately 324.

Step-by-step explanation:

In this case we have a initial number of shoppers "C" that we want to know and this grows at a steady rate of 20% per day, like a compound interest, we also know the total number of shoppers after 4 days, so we have the final amount of shoppers. We can use the formula for compound interest in order to calculate the number of shoppers in the first day as shown bellow:

M = C*(1 +i)^(t)

Where M is the total amount of shoppers, i is the growth rate and t is the time elapsed.

671 = C*(1 + 0.2)^(4)

671 = C*(1.2)^4

671 = C*2.0736

C = 671/2.0736 = 323.5918

Since there can't be a 0.59 buyer, we will round the number to 324.

Answer:

125 shoppers

Step-by-step explanation:

answer for kahn

HELP NEEDED ASAP SOMEBODY HELP PLS

Answers

Answer: B) 10cm Just count the squares but 2 halves = 1 full

What are the answers to these and how do I do it

Answers

Answer:

1. D

2.B

3.A

4.C

Step-by-step explanation:

You find where the line meets right on the “corner of the boxes” then count to the side then down or up to find the slope

please do it fast

Which is most likely the correlation coefficient for the set of data shown?


–0.65

–0.19

0.19

0.75

Answers

Answer:

The answer is C. 0.19 I hope this helped you good luck!

Answer: C. 0.19     Hope this helps!    

this is the data







..................................................................

Answers

Answer:

i think its 1/4 up 5 times

Step-by-step explanation:

Let f(x) = x – 4 and g(x) =1/x. The graph of (gºf)(x) is shown below.
What is the domain

Answers

(g°f)(x)=1/(x-4)

x-4 !=0 (different from 0 because the denominator can never be 0)

=> x!=4

the domain is R \ {4}

Perched upon Pinnacle Point, Peter picks up a peculiar piece of parchment (pictured below).
"This might be a treasure map!" he exclaims as he flips it over, revealing a clue:
P. Point.
673
673673 paces
S. Cove.
861
861861 paces
Under big rock
“These must be the distances to the treasure!” Peter nearly wets himself.
If Peter is currently facing towards Skeleton Cove, how many degrees to his left should he turn before walking
673
673673 paces to the treasure?

Answers

Answer:59

Step-by-step explanation:

This net can be folded to form a cube with a side length of 20 units.

Answers

Answer:

its b!!!!!!!

Step-by-step explanation:

What is the value of (Negative three-fourths) Superscript negative 4?
Negative StartFraction 256 Over 81 EndFraction
Negative StartFraction 81 Over 256 EndFraction
StartFraction 81 Over 256 EndFraction
StartFraction 256 Over 81 EndFraction

Answers

Answer:

The answer is D) 256/81

Step-by-step explanation:

So, 256 is numerator (on top) and 81 is the denominator (on bottom).

I did the thing with on the top and on the bottom bc I always end up looking up what numerator and denominator means. :)

Answer:

its (D)

Step-by-step explanation:

:)

Change £x to pence


HELP!!!!!

Answers

Answer:£1 = 100 pence

Step-by-step explanation:

£1 = 100 pence because you divide the pence by 100 to get the amount of pounds you have.

Volume of a cone: V = 3 Bh
10 ft
-
-
-
-
-
Answer the questions about the cone.
V = 3 Bh
What is the radius of the cone?
ft
What is the area of the base of the cone?
wf
What is the volume of the cone?
ft?

Answers

Answer:

What is the radius of the cone?

5ft

What is the area of the base of the cone?

25ft

What is the volume of the cone?

75ft

Step-by-step explanation:

1) Radius of the cone = 5ft

2) Area of the base of the cone =  78.5 square feet

3) Volume of the cone = 235.5 cubic feet

What is a cone?

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the vertex, whereas the flat surface is called the base.

According to the given problem,

Diameter of the cone = 10 feet

Radius of the cone = [tex]\frac{diameter}{2}[/tex]

                                = 5 feet

Area of the base of the cone = [tex]\pi[/tex]r²

                                                 = [tex]\pi[/tex] × (5)²

                                                 = 78.5 square feet

Volume of the cube = [tex]\pi[/tex]r²[tex](\frac{height}{3})[/tex]

                                  = 235.5 cubic feet

Hence, we can conclude that the cone shown in figure has a radius of 5 feet , base area of 78.5 feet and a volume of 235.5 cubic feet.

Learn more about cone here: https://brainly.in/question/50597516

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The answer an example how to do it

Answers

Answer:

≈ 1347 mi²

Step-by-step explanation:

The shaded area is the difference between the outer area and the inner area

shaded area = outer - inner

                     = πr₁² - πr₂²

where r₁ = 14 + 11 = 25 and r₂ = 14, thus

A = π × 25² - π × 14² = 625π - 196π = 429π = 429 × 3.14 ≈ 1347 mi²

Answer:

Step-by-step explanation:

Area of the shaded region = Area of the Outer circle - Area of the inner circle

Outer circle:

r = 14+11 = 25 mi

Area = πr² = π*25²

Inner Circle:

r = 14 mi

Area = πr² = π*14²

Area of shaded region = π*25² - π*14²= π(25² - 14²)

= 3.14*(625 - 196)

=3.14*429

= 1347.06 mi²

The quantities xxx and yyy are proportional.

xxx yyy

222 141414

666 424242

111111 777777

Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.

r =r

Answers

Answer:

Therefore the constant of proportional is r=7.

Step-by-step explanation:

The quantities x and y are proportional.

      x                y

i)     2              14

ii)    6               42

iii)   11               77

Since x and y are proportional.

y= rx

(i)

Now plug y= 14 and x=2

14=r.2

[tex]\Rightarrow r=\frac{14}{2}[/tex]

[tex]\Rightarrow r=7[/tex]

(ii)

Now plug y= 42 and x=6

42=r.6

[tex]\Rightarrow r=\frac{42}{6}[/tex]

[tex]\Rightarrow r=7[/tex]

(iii)

Now plug y=11 and x=77

77=r.11

[tex]\Rightarrow r=\frac{77}{11}[/tex]

[tex]\Rightarrow r=7[/tex]    

Therefore the constant of proportional is r=7.

Question 5(Multiple Choice Worth 5 points)
(8.01 MC)
Two lines, C and D, are represented by the equations given below
Line C y = x + 14
Line D y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
O (6,20), because both lines pass through this point
O (6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes

Answers

Answer:

A is the correct answer have a nice day

Step-by-step explanation:

Answer: a is the answer

Step-by-step explanation:

Two right triangles, ABD and ACD, were created from ABC by

constructing AD 1 CB.

Follow these steps to prove that sin(B) = sin(C)

1. For

ABD, sin(B) = 1

Answers

Answer:

Since their corresponding angles are congruent and the corresponding sides are in proportion

Step-by-step explanation:

For ABD,

Sin (B) = (AD ÷ AB) =1

∴ AD = AB

and if AD = AB

⇒ AD = AC   (since AD 1 CB).

From triangle ACD,

Sin(C) = (AD ÷ AC)

Since AD = AC , Hence Sin (B) = Sin (C) = 1

Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)

Answer:

1 is h/c

2 is c sin(b)=h

3 is h/b

4 is b sin(c)=h

5 is substitution

6 is bc

Step-by-step explanation:

right on edge 2020

Write 0.2 as a fraction in simplest form

Answers

Answer:

1/5

Step-by-step explanation:

2/10 simplified = 1/5

Answer:

Step-by-step explanation:

Other Questions
At the high and low levels of activity during the month, direct labor hours are 90,000 and 40,000, respectively. The related costs are $165,000 and $100,000. What are the fixed and variable costs at any level of activity? (Round variable cost per unit to 2 decimal places, e.g. 2.25.) Fixed Costs $ per month Variable Costs $ per unit Rae and Doris are training to swim a 200-meter freestyle race. The table lists their practice times during training camp.Raes Times(minutes)-2.12, 2.01, 2.46, 2, 2.22, 2.31, 2.23doris times(minutes)-2.32, 2.19, 2.26, 2.03, The median of Raes data is(drop down box answers, 2,2.03,2.14,2.22)minutes,and the median of doris data is(drop down box answers, 2,2.03,2.14,2.22)minutes. The interquartile range for rae is(drop down box answers, 0.01,0.13,0.26,0.30), and the interquartile range for doris is(drop down box answers, 0.02,0.06,0.18,0.19). 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The rotation of Earth on its axis causes _______ and _______. The revolution of the Earth around the sun causes the ______. A propane stove burned 470 grams propane and produced 625 grams of water (this is the actual yield) C3H8 +5O2=3CO2+4H20. What was the percent yield of water for the stove? I would really appreciate the help. I don't understand how to begin. Jonah has prepared a multimedia presentation about the year he spent living in England. It is meant to educate other middle-school students about the differences between life in the United States and England. How can Jonah best adjust his presentation for an audience of younger students? Help please its timed :) What is the value of h? Which bead phenotypes avoided predation best? Why do you think this phenotype performed better than the other? Countries need the right resources to create products. Which of the following factors is NOT a resource that a country might need in order to produce something to trade? A. having the right amount of land B. having enough funds to invest C. having a low standard of living D. having enough skilled workers Please select the best answer from the choices provided you and your roommates are studying hard for you physics exam. you study late into the night and then fall into your bed for some sleep. you all wake early before the exam and scramble groggily around making breakfast. you cant agree on what to have, so one of you cooks waffles on a 990 w waffle iron while another toasts bread in a 900 w toaster. you want to make a cup of coffee with a 650 w coffeemaker, and you plug it into the same power strip into which the waffle iron and toaster are plugged. will the 20 a circuit breaker trip? explain. Chunks of rock and metal from planetary bodies that survive their journey through the atmosphere and fall to the ground are called meteorites and scientists have found over 50,000 on Earth's surface. What is the origin of the majority these meteorites?A. They are pieces of a planet that have broken off.B. They are the original materials from which the planets formed.C. They are bits of our moon that have eroded and fell back to Earth.D. They are jarred loose from a meteor belt found among the outer planets. Benzene is a non-polar molecule, meaning that it does not have a positive or negative side. Which statement BEST describes how benzene will dissolve in water? A)Benzene can only exist as a gas and gases will not dissolve in water. B)Benzene dissolves well in water since polar molecules dissolve well in polar solvents. C)Benzene will dissolve in water because water is a universal solvent; it will dissolve anything. D)Benzene will not dissolve well in water since non-polar molecules do not dissolve in polar solvents. Plx help me! Identical boxes are stacked on top of each other in a store display. The display uses 6 boxes across, 6 boxes deep, and 6 boxes tall.How many boxes are there in the display? NEED IT QUICK! THANK YOU At the start of an experiment, the temperature of a solution was Negative 12 degrees Celsius. During the experiment, the temperature of the solution rose 5 degrees Celsius each hour for 4 hours. Then the temperature changed by Negative 3 degrees Celsius and remained steady. What was the final temperature of the solution?Negative 11 degrees Celsius5 degrees CelsiusNegative 5 degrees Celsius11 degrees Celsius Technician A says that when checking a voltage drop across an open switch, a measurement of 12 volts means the circuit is open. Technician B says that when checking voltage drop across an open switch, a measurement of 12 volts means the switch contacts are closed. Who is correct You and a friend both roll a die at the same time. On the first roll, the dots on the two dice add up to 7. The second roll, they add up to 2. Which do you think was more likely, rolling a total of 2 or a total of 7? Explain your answer Ferris wheel has a diameter of 60 ft. How far will a rider travel during a 5 minute ride if the wheel rotates once every 15 seconds? A system ofequations with infinitely many solutions would be represented on a graphby parallel lines. TrueorFalse A cheeseburger franchise uses 11 different buns, 4 different cheeses, 3 types of lettuce, and 4 types of tomatoes. Takes 10 minutes to eat each cheeseburger. How long will it take to eat all of the possible cheeseburgers Twenty cuttings were taken from one plant and planted in four containers of sand. two containers had a ph of 6.0, and two had a ph of 8.0. when the cuttings matured, all of those grown in a ph of 6.0 had pink flowers, and all of those grown in a ph of 8.0 had blue flowers. one explanation for these results is that the sand at one ph contained a dye that changed the flower color. the best alternative explanation for these results is that -