1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brilliant_brown [7]
3 years ago
15

Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they h

ad 36 trees. How many trees did each of them have at the beginning?
Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

<u>At the beginning:</u>

Stephen = x trees

Alice = x + 12 trees

<u>At the end:</u>

Alice = (x + 12) - 4 trees

Stephen = x + 10 trees

Total = 36

Then

((x+12)-4)+(x+10)=36\\ \\(x+12-4)+(x+10)=36\\ \\(x+8)+(x+10)=36\\ \\x+8+x+10=36\\ \\2x+18=36\\ \\2x+18-18=36-18\\ \\2x=18\\ \\x=9

Stephen - 9 trees

Alice - 9 + 12 = 21 trees

mash [69]3 years ago
8 0

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they had 36 trees. How many trees did each of them have at the beginning?

You might be interested in
Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP
Sergio [31]

Answer:   294.4 m²

<u>Step-by-step explanation:</u>

Separate the shaded region into two parts:

  1. The section containing the central angle of 230° (360° - 130°)
  2. The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3

2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1

Area of shaded region = Area of (1) + Area of (2)

                                      =    247.3     +      47.1

                                      =               294.4

8 0
3 years ago
Read 2 more answers
Suppose you are offered just one slice from a round pizza (in other words, a sector of a circle). The slice must have a perimete
Andrew [12]
Dimeter is 28inch and area is equal to 26.7inch^2
6 0
3 years ago
Plzzz help thank you very much!!
olasank [31]

80.

The opposite side of the arc is equal to its opposite.

6 0
3 years ago
1) Give 5 examples of a difference of two perfect squares
Katyanochek1 [597]

ᴀɴsᴡᴇʀ:

<u>1.Example, x²-25 can be factored as (x+5)(x-5).</u>

<u> </u>

<u>2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).</u>

<u> </u>

<u>3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).</u>

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!

☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎

8 0
3 years ago
A boat traveled 12 miles north and then
katrin [286]

Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

\sqrt{x} 650.25=c units 2

25.5

8 0
3 years ago
Other questions:
  • What happened to the size of the equal parts when there were fewer equal part?
    15·2 answers
  • Need help with my hw plz thx
    12·2 answers
  • What's the solution of this equation?
    5·1 answer
  • Vinnie decorated 72 cookies in 36 minutes how many cookies did he decorate per minute
    8·2 answers
  • Can someone help me with this please
    10·1 answer
  • Please help...
    15·1 answer
  • Solve 5b +12c =9 for b
    14·2 answers
  • Which of these fractions below are the smallest and largest?
    13·1 answer
  • Use picture or words to describe a cone
    10·1 answer
  • Answer this question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!