The amount a tree grows in one month is directly proportional to the amount of water it is given. When a tree is giving 21 gallons of water it grows 8 cm that month. What is the constant of proportionality for this variation? record your answer to the nearest thousand.

Answers

Answer 1

Answer:

k = 0.381cm/gallon

Step-by-step explanation:

Let the amount a tree grows in one month be x

Let amount of water it is given be y

If the amount a tree grows in one month is directly proportional to the amount of water it is given, then;

x ∝ y

x = ky

k is the constant of proportionality

k = x/y

Given

x = 8cm

y = 21 gallons

k = 8/21

k = 0.381cm/gallon


Related Questions


Kayla works as a hairdresser. She earned $228.50 in tips in five days. If she earned the same amount each day, about how much did
Kayla earn per day? Explain your answer.

Answers

Answer: $45.70 per day

Step-by-step explanation:

$228.50/5=$45.70 per day

31. Mark carried 3¼ kg of millet, 4¾ kg of sorghum
and 15kg of maize to the market. He sold
2½kg of millet 2¾kg of sorghum and 10kg of
maize. What was the total mass cereals that
remained?

A. 15¼ kg
B. 23kg
C. 8¼kg
D. 7¾kg

what's the solution to solve it?​

Answers

Answer:

D

Step-by-step explanation:

(3.25+4.75+15) =23

23- (2.5+2.75+10)

= 7.75

Millet: convert 2 1/2 to 4ths, and 3 1/4 to an improper fraction as well

2 1/2 = 5/2 = 10/4
13/4 -10/4 = 3/4 kg of millet left over

Sorghum:
4 3/4 - 2 3/4 = 2 kg of sorghum left over

Maize:
15kg - 10kg = 5kg left over

3/4 + 2 + 5 = 7 3/4 kg total

is the slope of a line that passes through the points (-3, 2) and (-6,5)?

Answers

Answer:

slope is -1

Step-by-step explanation:

Pls help pls don’t answer if you dont know also I’ll give brainliest

Answers

Answer:

$55.96

Step-by-step explanation:

To find 30% of $79.95, we must multiply 79.95 by .3

We get 23.985, which can be rounded to the nearest 100th to get 23.99

So, 30% of $79.95 is $23.99

Now, we can just subtract to find the sale price.

$79.95 - $23.99 = $55.96

Help me please. Find AC

Answers

Step-by-step explanation:

Since every triangle adds up to 180 degrees the unknown side would be 53!++

Hi mate....

Step-by-step explanation:

This is your answer....

Triangle Fixed Value = 180°

AC = 180 - (30 + 87)

= 180 - 117

= 63°

Checking your answer....

= 117 + 63

= 180°

Hope it helps you....

Mark me as the brainliest.....

FOLLOW ME!

find the area of the shape

Answers

Answer:

36 ft

Step-by-step explanation:

you have to do length times by your width

6x6=36

Answer:

21,87ft

Step-by-step explanation:

area of square: 6×6=36

circle:

π×r^2

(radius is 3)

π×3×3= 28,26

half of the circle:

28,26÷2=14,13

so green area: 36 - 14,13 = 21,87 ft

why would it be advantageous to borrow oneself into the sun if you live in an internal zone​

Answers

Answer:

So you would not be carried away by the tides

Step-by-step explanation:

hope this is what u want

Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and bare supplementary ( 5 points)

Answers

Answer:

See proof below

Step-by-step explanation:

Two angles that are linear pair sums up to 180°

If angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, then;

1+a = 180....1

2+b= 180....2

Taking the sum of both equations

1+2+a+b = 360°... 3

Note that the sum of the adjacent angles will also be 180° since they also lie on the same straight line, hence;

1+2 = 180°...4.

Substitute 4 into 3

From 3;

1+2+a+b = 360°

(1+2)+(a+b) = 360°

180+(a+b) = 360

a+b = 360-180

a+b = 180

Since the sum of a and b is 180°, this shows that angles are supplementary since the sum of 2 supplementary angles is also 180°

Hence this shows that the consecutive interior angles a and bare supplementary.

Answer:

180-35=145 Degrees

Step-by-step explanation:

TBH I may not have a complete understanding; but what I do know is a straight line (or angel if you so chose) is equal to 180 degrees (NOTE: supplementary- angels are when 2 angels that are added up to 180 degrees) and on my part of the question is: "Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof that consecutive interior angles a and b are supplementary".

Now in my whole complete course its asking a bout a ski slope and it gives me the 35 degree angle and we need to figure out the missing angle, we have the same picture as listed above.... knowing that straight lines are 180 degrees I subtracted 180-35 and I got 145 degrees now either i'm right or i'm missing som I did in a few years back but most of my information is basically backed up by some understanding I do know

What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes

Answers

Answer:

a) 3 hrs 35 mins

b) 2 hrs 45 mins

c) 4 hrs 30 mins

d) 4 hrs 5 mins

Step-by-step explanation:

The difference, in hours and minutes, between these times are;

a) 3 hrs 35 mins

b) 2 hrs 45 mins

c) 4 hrs 30 mins

d) 4 hrs 5 mins

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The difference, in hours and minutes, between these times can be calculated as;

a) 13 40 and 17 15

13 :40 - 17 : 15

= 3 hrs 35 mins

b) 11 :25 and 14: 10

11 :25 - 14: 10

= 2 hrs 45 mins

c) 2:50 am and 7:20 am

2:50 am - 7:20 am

=  4 hrs 30 mins

d) 10:35 am and 2:40 pm

10:35 am - 2:40 pm

= 4 hrs 5 mins

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

What is the equivalent of 2/6

Answers

Answer:

1/3 3/9. 4/12

Step-by-step explanation:

Answer : 1/3

Explanation : you can divide 2•2=1 and 6•2=3

which graph represents the function f(x)=|x|-4?​

Answers

Sorry but you didn’t show us the question so I can’t give you a direct answer. But here’s what the function would look like:
Hope this helped, if it did, I would appreciate it if you can give me brainliest

Last year, Anna paid $4,812 for a co-op maintenance fee. One-third of the
covered her property taxes. How much property tax did Anna pay last year? *
$1,640
$1,604
$1,598
$1,728

Answers

$1,604 because if you were to divide 1/3 and $4812 it’s would equal 1604


1. The sizes of parts sold during one business day in a
department store are 36, 38, 34, 92, 36, 34, 40, 44, 32, 34 . Find the average size of the pants sold. ​

Answers

First, to find an average, we need to add all the numbers together and divide them by how many numbers there are.
36+38+34+92+36+34+40+44+32+34 = 420
420/10 = 42

Average = 42

Here goes the answer. Hope it helps you.

Changed 19/4 into a mixed number (fraction).

Answers

Answer:

Step-by-step explanation:

Did you mean: Change 19/4 into a mixed number (fraction).

How do you turn 19/4 into a mixed number?

As an improper fraction. (numerator larger than denominator): 19/4 = 19/4

As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4

As a decimal number: 19/4 = 4.75.

As a percentage: 19/4 = 475%

4 and 3/4

16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.

PLS SIMPLIFY THIS ANSWER I NEED HELP!

-2 1/4 x + 3 7/12x -4 2/3

Answers

Answer:

The answer is −13 /6 x−14.

Write the ratio in simplest form. 2 feet to 20 feet.

Answers

Answer:

1: 10 ❤️❤️❤️❤️❤️❤️❤️❤️

1:10 as you simplify 2 down to 1 and then 20 down to 10

Madeline drew 24 hearts, 20 stars, and 37 circles. What is the ratio of stars to hearts?​

Answers

Answer:

20:24

Step-by-step explanation:

20 stars

colon is to

24 hearts

ANSWER PLSSSSSSSSSS
Angles B and C are supplementary. If m∠B = 2x - 40 and m∠C =2x + 20, how would you determine the measure of each angle?

Answers

Answer:

B=60 C=120

Step-by-step explanation:

Supplementary angles add up to 180.

so

2x-40+2×+20=180

4×-20=180

4×=200

×=50

B 2(50)-40=100-40=60

C 2(50)+20=100+20=120

Find the area of an equilateral triangle with a perimeter of 24in.

Answers

Answer:

Step-by-step explanation:

[tex]p=24,\ b=\frac{p}{3}=8\\ \\ h=\sqrt{64-16},\ h=\sqrt{48}\\ \\ A=\frac{bh}{2}\\ \\ A=4\sqrt{48}in^2\\ \\ A=16\sqrt{3}in^2\\ \\ A\approx 27.7in^2[/tex]

The photo of the question is there.​

Answers

Didn’t get the full problem, what is z equal to?
what does z equal? 5y = 20, so just multiply 7 by z and add 20

Plz help asap its due in 40 mins ​

Answers

Answer:

b

Step-by-step explanation:

yes its right

Answer:

1) x=11

2)x=9

3)pr=21

4)fe=68

Three hundred new ones cost $2100. what would be the cost of 120 new ones​

Answers

Answer:

840

Step-by-step explanation:

120 is 40% of 300, and 840 is 40% of 2100 is 840.

Answer:

840

Step-by-step explanation:

James got an 80 on a math test. By taking a retest in MLC, he increased his score by 15%. What
was his new score ?
Show work please

Answers

Answer:

Step-by-step explanation:

80x(1+0.15)=80x1.15

                 =92

You work in a grocery store. How many 1/3 pound bags of coffee can you package from a 15 pound box of loose coffee?​

Answers

Answer:

45

Step-by-step explanation:

Since each bag is 1/3 of a pound. That means there are 3 bags that make 1 pound. Therefore 15x3 is 45, so you could make 45 bags of coffee

the answer is 45 lol, hope it helped

Square PQRS has vertices P(-3,0), Q(0,4), R(4,1), and S(1,-3). Determine the area of the square.​

Answers

Answer:

Step-by-step explanation:

length of PQ = √[(0-(-3))²+(4-0)²] = 5

area of square = 5² = 25 units²

Answer:

Step-by-step explanation:

all of them are congruent

Firemen are using a 60-foot ladder to reach
the top of a 45-foot building.
B
60 ft
45 ft
a. Calculate the distance from the bottom
of the ladder to the base of the building.
Round your answer to the nearest tenth.
b. Use the cosine ratio to compute the
measure of the angle formed where the
ladder touches the top of the building.
Round your answer to the nearest tenth.

Answers

Answer:

This might help a liitle its kind of like the question you are asking.You might not want to give people 5 points for a long question because most of them might not awnser.

Step-by-step explanation:

please help does anyone know this

Answers

You Can Make A Foto In The App And Then the app Solve the problem Then you got your answer

100 Multiplicaciones que me den 100

Answers

Do you mean 100 multiplied by 100?

Answer:

10 por 10

5 por 20

50 por 2

1 por 100

25 por 4

Step-by-step explanation:

Write 1/200 as a percent.

Answers

Answer:

0.5%

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{In order for you to convert fractions into percentages you have DIVIDE}\\\large\text{the NUMERATOR from DENOMINATOR, whatever its outcome is}\\\large\text{MULTIPLY it by 100}[/tex]

[tex]\mathsf{\dfrac{1}{100}=1\div100\rightarrow \bf{0.005}}\\\\\\\mathsf{0.005\times 100 = 0.5\%}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{0.5\%}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Mr. Robles has two kinds of fruit in his basket. The ratio of
apples to oranges in the basket is 3:4.
If there are 9 apples, how many pieces of fruit are in his basket?
A. 21
B. 8
C. 38
D. 12

Answers

the answer is A I think

A. 21

I just took my exam and got it right.

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