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
julia-pushkina [17]
3 years ago
11

One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an

d requires no fencing. The longer side is parallel to the barn. If the length of the longer side of the rectangle is twice the width, what are the dimensions of the garden

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.  

You might be interested in
Help me with this pls​
Anton [14]

\tt 4:2\dfrac{2}{3}=x:4\\\\4:\dfrac{8}{3}=x:4\\\\x=16:\dfrac{8}{3}=6

5 0
2 years ago
There are 42 children in the classroom each student will get 28 pencils and 46 erasers how many pencils will the teacher have to
Aleksandr-060686 [28]

Since the question is asking how many pencils the teacher will have to give out, we can automatically ignore the 46 erasers from the problem because it is not relevant. The information was most likely put there to confuse you.

Each student is getting 28 pencils, so if we multiply the number of students by 28 pencils, we will find how many pencils the teacher will need to give out.

There are 42 children in the classroom, so multiply 42 by 28.

42 * 28 = 1,176

The teacher will have to give out <u>1,176 pencils</u> to her 42 children in the classroom.

4 0
3 years ago
Read 2 more answers
The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope
sineoko [7]

Answer:

\large \boxed{17}

Step-by-step explanation:

Let's call the numbers "<em>tu</em>", where<em> t</em> is the tens digit and <em>u</em> is the units digit.

We can solve this by the "brute force" method —  examining each number to see if it satisfies the conditions.

\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13,  23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}

\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}

5 0
3 years ago
The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you
Tju [1.3M]

Answer:

i- umm- its, well i got two answers n this question as well, but umm, i think its

1 5/12 maybe

Step-by-step explanation:

5 0
3 years ago
Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log 2x = 4
ch4aika [34]
3 log 2x = 4

==> log 2x = 4/3

==> 2x = 10^(4/3)

==> x =  \frac{10^(4/3)}{2} 
7 0
3 years ago
Other questions:
  • Using radicals, write an equivalent expression for the expression y^{\frac{1}{5}}.
    7·2 answers
  • The BYU testing center is known for being the location with the most prayers said per capita. Researchers asked a random sample
    5·1 answer
  • A local poll found that only 17% of the 546 people surveyed feel the mayor's new city tax plan is effective. Find the mean of th
    7·1 answer
  • Assignment
    11·2 answers
  • What is the best order-of-magnitude estimate for 789,000?
    8·1 answer
  • SHOW WORK PLZ!!!!!<br> 1/2 (x-5) +5 = 9x-(12x-6) +28
    9·2 answers
  • What is the IQR of <br>15,19,20,25,25,28,29,30,30,35,37,43<br>​
    9·2 answers
  • What is the volume of a sphere with a radius of 3 meters?
    8·2 answers
  • What is the value of c in the equation below?
    8·1 answer
  • Help me please 10 POINTS
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!