Exactly 150 years​ ago, students planted a tree in front of their school. Since​ then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.

Answers

Answer 1

Step-by-step explanation:

There are 2 different unit rates here:

The increase of the tree's height per year The increase of the tree's trunk per year

Rate of tree's height per year

= 33m / 150 years = 0.22m per year.

Rate of tree's trunk per year

= 3m / 150 years = 0.02m per year.


Related Questions

The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.

Answers

Answer:

small number = 28/5 or 5 3/5

larger number = 13/5 or 2 3/5

Step-by-step explanation:

x = small number

y = large number

set up a system of equations:

x - y = 3

3y + 2x = 19

using substitution method:

let x = 3 + y

3y + 2(3 + y) = 19

3y + 6 + 2y = 19

5y + 6 = 19

5y = 13

y = 13/5

solve for x:

x - 13/5 = 3

x = 15/5 + 13/5

x = 28/5

Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?

Answers

Dakota answered 17 questions correctly.
Dakota answers 17 questions right

Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?

Answers

Answer: 4/10

Step-by-step explanation: easy

6/2=4  

8/2=4X10=40 .  

now...

40/4= 10

so its simply 4/10

Answer:

4.5 or 4 1/2

Step-by-step explanation:

6 times 2 and 3/8 equals 4 and a half, hope this helps

I don’t understand help plzz

Answers

Answer:

Slope/m=1/2, y-intercept=-4

Step-by-step explanation:

Y=mx+b is slope-intercept form. So in the equation y=1/2x-4, m stands for the slope, and in the equation 1/2 is in the place of m. B stands for the y-intercept, and in its place is -4.

Ahem, I'm writing with a mouse, excuse the scraggly lines and writing on the graph.

A gardening center is planting trees for sale. Until the trees are fully grown, employees need to put rope
around the square section where the trees are planted so that customers do not disturb them. The area of the
soction is 132.25 ft? How much rope will the gardening center need to purchase to surround the section where
the trees are being planted?

Answers

Answer: 46ft

Step-by-step explanation:

You take the area and find it's square root then multiply it by how many sides there are to the figure in this case it is 4 sides so you multiply it by 4 getting 46

Can someone Find the AB to this

Answers

Answer:

AB = 12.5

Step-by-step explanation:

BX is an altitude and a median. That means that triangle ABC is isosceles.

AB = CB

AB = 12.5

Sally has a budget for school stationery of $37, but has already spent $22.72 on books and folders. Let p represent the amount that Sally can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.

Answers

Answer:

[tex]p\le 14.28[/tex]

Step-by-step explanation:

Total budget for school stationery = $37

She has already spent $22.72 on books and folders.

Left amount = $37 - $22.72

= $14.28

Let p represent the amount that Sally can spend on other stationery. It implies that "p" must be less than or equal to $14.28 .

Hence, the required inequality is :

[tex]p\le 14.28[/tex]

106.6 rounded to the nearest hundredth

Answers

Answer:

either 100 or 107

hope it's correct

5 ⋅ x = 12

what is x?

Answers

Answer:

x is 2.4

Step-by-step explanation:

What is y-5=1/2(x-1) in slope-intercept form?

Answers

Answer: y = 1/2x + 9/2

Step-by-step explanation:

A. 2
B. 3
C. 4
D. 6

i need help plzz

Answers

Answer:

4

Step-by-step explanation:

Okay, so the first step is to divide 30 and 5.  You should get 6.

Then all you have to do is divide 24 and 6.  You should get 4.

the answer is C which is 4 :))

Solve it please!

-2f - 7(-8f + 3)

Answers

Answer:

3(18f−7)  (factored)

54f−21  (simplified)

hope this helped :D

I’m pretty sure that should be 54f-21

which is a prime number 18 15 19 or 22

Answers

Answer:

19

Step-by-step explanation:

the only way u can get 19 is if you multiply 19x1 but other than that you cant get the number

the other numbers have more than one multiple but 19 only has one multiple

Answer:

19

Step-by-step explanation:

the only factors multiplyed that can make 19 is 1 and 19

15:1, 3, 5, 15

18:1, 2, 3, 6, 9, 18

22:1, 2, 11, 22

19:1, 19

take care

PLS HELP! ITS DUE SOON ILL GIVE BRAINLIEST

Answers

Answer:

I think it’s a but if not a then d

Step-by-step explanation:

Answer:

i think A

plz give me brainliest but plz correct if wrong

Step-by-step explanation:

................................​

Answers

Hey again!

The answer to your question is 10 meters.

We can solve this by multiplying 15 and 2/3, and you get 10

Hope it helps!

Suppose that y varies directly with x, and y=12 when x=15
Write a direct variation equation that relates x and y.
Find y when x=2

Answers

Answer:

[tex]y = 1 \frac{3}{5} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Which inequality is true when the value of s is 1

Answers

You smell so bad literally ew eww in grown hair shut up

Solve.
4.75 x $2.20 =
$9.45
$10.55
$9.55
$10.45

Answers

10.45 :) I hope this helps! ^.^
The answer is $10.45

The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.

Answers

Answer:

[tex]5\ \text{ft}[/tex]

Step-by-step explanation:

Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]

The width of the easement is [tex]x\ \text{ft}[/tex]

Buildable area 140 ft by 64 ft

[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]

The width of the easement is [tex]5\ \text{ft}[/tex].

What is the value of x in the equation 25x2 = 16. A. 5/4. B. 4. C. 4/5. D. 16/25

Answers

Answer:

x = ⅘

Step-by-step explanation:

For clarity, exponents should be marked with a ^.  25x² can be written as 25x^2.

25x² = 16

divide both sides by the 25

x² = 16/25

take the square root of both sides

x = √(16/25) = √16/√25 = 4/5

Mike and Andy are each reading the same book mike reads 2\4 of the book on Tuesday and 1\3 of the book on Wednesday Andy reads 1\2 of the book on Tuesday and 1\5 of the book on Wednesday Andy says that all together he reads more of the book on Tuesday and Wensday then mike

Answers

Answer:

Andy's claim is incorrect

Step-by-step explanation:

Given

Mike:

[tex]Tuesday = \frac{2}{4}[/tex]

[tex]Wednesday = \frac{1}{3}[/tex]

Andy:

[tex]Tuesday = \frac{1}{2}[/tex]

[tex]Wednesday = \frac{1}{5}[/tex]

Required

Is Andy correct?

First, we need to calculate the fraction of book read by Mike.

[tex]Mike = \frac{2}{4} + \frac{1}{3}[/tex]

Take LCM

[tex]Mike = \frac{6+4}{12}[/tex]

[tex]Mike = \frac{10}{12}[/tex]

Convert to decimal

[tex]Mike = 0.833\\[/tex]

Next, we perform the same calcuation for Andy

[tex]Andy = \frac{1}{2} + \frac{1}{5}[/tex]

Take LCM

[tex]Andy = \frac{5+2}{10}[/tex]

[tex]Andy = \frac{7}{10}[/tex]

Convert to decimal

[tex]Andy = 0.70[/tex]

Andy's claim that he read more of the book is incorrect because 0.833 (for Mike) is greater than 0.70 (for Andy)

The price of an item has been reduced by 95%. The original price was $33.

Answers

Answer:

25%

Step-by-step explanation:

See a solution process below: Explanation: We can use this formula to solve this problem: s=p−(d×p). Where: s is the sales price: what we are

i think it would be 14 i’m not sure.

10.
Can someone help me solve this?​

Answers

Answer:

D. 12

Step-by-step explanation:

you put the x coordinate in place of c and that cancels it out so the answer is 12

help! will give brainliest

Answers

Answer:

A

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex] → A

You have a bag with 12 jelly beans in it 4 red 2 black 5 yellow and 1 pink what is the probability of not picking a black one

Answers

10:12. or 83.3%. so you have a 10 in 12 chance to not get a black one.

Answer:

[tex]\boxed {\boxed {\sf \frac{5}{6} \ or \ 0.833}}[/tex]

Step-by-step explanation:

Probability can be found by dividing the favorable outcomes by the total outcomes.

[tex]P=\frac{favorable \ outcomes}{total \ outcomes}[/tex]

In this problem, a favorable outcome is not picking a black jelly bean. The total outcomes is the total number of jelly beans.

[tex]P( \ not \ black \ jelly \ bean)=\frac{not \ black \ jelly \ beans}{all \ jelly \ beans}[/tex]

There are 10 jelly beans that are not black (4 red+5 yellow + 1 pink =10) There are 12 total jelly beans (4 red+ 2 black+ 5 yellow + 1 pink= 12)

[tex]P( not \ black \ jelly \ bean )=\frac{10}{12}[/tex]

This fraction can be reduced. Both the numerator and denominator can be divided by 2.

[tex]P(not \ black \ jelly \ bean)=\frac{10/2}{12/2}[/tex]

[tex]P(not \ black \ jelly \ bean)=\frac{5}{6}[/tex]

Probabilty can also be written as a decimal.

[tex]P(not \ black \ jelly \ bean)=0.833[/tex]

The probabilty of not picking a black jelly bean is 5/6 or 0.833

4/7÷5
In khan HElp me I NEED IT

Answers

Answer:

(4/7)/5= 4/35 or .1142857 or .11

Step-by-step explanation:

Jasmine is studying the polynomial function f(x)=-x^2+8x+18. Which of the following statement(s) about this function are true?
I. The polynomial function will open down.
II. The polynomial function has a minima of (4, 34).
III. The polynomial function has two roots.
IV. The axis of symmetry of the function is x=–4.

A. I and IV
B. II and III
C. I and III
D. lII and IV

Answers

Answer is c I’m positive

Find the smallest non-zero whole number which can be multiples by 112 to give a cube number

Answers

Answer is : Step-by-step explanation:

Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number.

So cube root of 21,952 will be 28.

Reference link will be.

brainly.in/question/4396403.

hope it helps

Answer:

176.

Step-by-step explanation:

112 = 2*2*2*2*7

For a cube number there must be 3 or a multiple of 3 of each factor.

So we multiply  by 2*2 and 7 * 7 to give 2^6 * 7^3 which is 21952.

The answer is 4*49

= 176.

Checking that 21952 is a cube:

- the cube root is 28,

please help me on this will give you brainliest

Answers

Answer:

103 to 107 is (2). 108 to 112 is (4). 113 to 117 is (2)

Step-by-step explanation:

(Help needed ASAP) What is the approximate diagonal distance from one corner of a 3 inch-by-5 inch index card to the opposite corner?
A) 5.6 inches
B) 6 inches
C) 6.2 inches
D) 5.8 inches

Answers

Answer: Give me second
D

Pretend to cut the card in half from opposite corner to opposite corner.
Use Pythagorean’s Theorem.
a^2+b^2=c^2
(3)^2+(5)^2=c^2
9+25=c^2
34=c^2
C=approximately 5.8 inches.
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