A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?

Answers

Answer 1

Answer:

Dimension = 6 feet × 3 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet


Related Questions

solve 100+0.05p=0.25p

Answers

Answer:

p=500

Step-by-step explanation:

The value of p is 500 in the equation  100+0.05p=0.25p.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

The equation,

100+0.05p=0.25p

To solve the equation:

Simplify the equation,

100 = 0.25p - 0.05p

0.20p = 100

p = 100/0.20

p = 500

Therefore, 500 is the value of p.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ6

Help me please..........

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.

__

Algebraic solution

Algebraically, you can set y = -x +3, and solve for x. That gives you ...

  x = 3 -y

Using the relation given at the start:

  0 < x < 1

  0 < 3 -y < 1 . . . . . substitute for x

Adding y gives ...

  y < 3 < y+1

We can separate this into two inequalities:

  y < 3, and

  3 < y+1

  2 < y . . . subtract 1

Now, we have ...

  2 < y < 3 . . . . . the location of point C

As you can see, it is much easier to use the number line directly to find the desired point.

Solve for x in the literal equation −4 = xy + z.

Answers

Answer:

x = (-4 - z)/y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4 = xy + z

Step 2: Solve for x

Subtract z on both sides:                    -4 - z = xyDivide y on both sides:                       (-4 - z)/y = xRewrite:                                                x = (-4 - z)/y

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

A property dealer charges a commission of 2% on the first 25000 and 1.5 % on the remainder. What commission does he charge for selling a plot of land of 130000

Answers

Answer:

$2075

Step-by-step explanation:

commission = 0.02 x $25,000 = $500

The remainder = $130,000 - $25,000 = $105,000

Commission on the remainder = 0.015 x $105,000 = $1,575

Total commission = $1,575 + $500 = $2075

22
An airline offers a discount one way flight to New York City for $162 80. If the usual price for the ticket is $185.00, what is the percent discount

Answers

The discount is 12% because 185*0.12=22.2 and to get the discount price you have to subtract the values 185-22.2=162.80.

Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked 43 gallon. After 20 minutes, Sunnie's tank has leaked 34 gallon. Which tank is leaking faster?

Answers

Answer:

Katie's gallon

Step-by-step explanation:

Katie and Sunnie both have 20-gallon fish tanks that are leaking water!

For Katie

After 15 minutes, Katie's tank has leaked 4/3 gallon.

The rate of leakage =

4/3 gallon × 15 minutes

= 16

For sunny

After 20 minutes, Sunnie's tank has leaked 3/4 gallon.

Her rate is given as:

= 3/4 gallon × 20 minutes

= 15

Therefore,

The tank that is leaking faster is Katie's gallon

Simplify the following expression.

[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Dividing Fractions - KCF (Keep Change Flip)

Keep the 1st fraction the sameChange the sign from division to multiplicationFlip the 2nd fraction (reciprocate)

Algebra I

Terms/CoefficientsDomains

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]

Step 2: Simplify

Divide [KCF]:                    [tex]\displaystyle \frac{4x + 14}{2} \cdot \frac{x - 6}{4x + 14}[/tex]Multiply:                           [tex]\displaystyle \frac{(4x + 14)(x - 6)}{2(4x + 14)}[/tex]Divide:                             [tex]\displaystyle \frac{(x - 6)}{2}[/tex]

Extra:

If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.

Answer:

(x-6)/2

Step-by-step explanation:

Turn the second fraction upside down and multiply two fractions

Find the product
(4)(-11) =

Answers

Answer:

4 X -11

-44

plz mark as brainliest

Answer:

-44

Step-by-step explanation:

Basically It's like 4x11, but you put a negative sign.

I will give brainliest to the correct answer!

Answers

none of the above , <33

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

Does (2, 3) make the equation y = x true?

Answers

Answer:

No.

Step-by-step explanation:

If you substitute x = 2 and y = 3 into the equation, you get 3 = 2 which is not true.

Triangle ABC is similar to triangle DEF

Answers

Answer:

A my dude. good luck!!!!!

Answer:

A

Step-by-step explanation:

AC = 5

DF = 15

5 x 3 = 15

BC = 3

EF = 9

3 x 3 = 9

Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:

[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex]  and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]

and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]

Find the volume of a cylinder with a radius of 3 inches and a height of 2

Answers

Answer:

56.55m³

Step-by-step explanation:

use a calculator, not brainly

help me read the instructions answer number 2 help me

Answers

Answer:

3. See explanation

2. [tex]\displaystyle Yes[/tex]

1. [tex]\displaystyle [2, 1][/tex]

Step-by-step explanation:

3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.

2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.

1. See above imagery

I am joyous to assist you at any time.

A store advertises 15% off an item that regularly sells for $300

what is the price of the item?

Answers

The item would sell for $255 if it had a 15 percent discount

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

which of the following is geometric sequence?

Answers

Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]

Nope that's not what we're looking for.

Choice B:

[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

[tex]6^{*3},18^{*3},54^{*3},162[/tex]

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]

Nope this is not it either.

2x² + 3 × (-x²) + 6x + 2

Answers

Answer:

1x²+5 x 6x

Step-by-step explanation:

Which of these best describes rt?

A) The square root of the area of a circle

B) The ratio of the radius of a circle to its diameter

C) The radius of a circle times 3.14

D) The ratio of the circumference of a circle to its diameter

Answers

Answer:

uhhhh... i thinks its D or A

Someone help me please

Answers

Answer:

The multiple choice question is A

one of the zeros is x=2

Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Help pleaseeee

Answers

Answer:

y=7x-8

Step-by-step explanation:

y=mx+b........slope-intercept form

where m=slope,b=y-intercept

y=7x-8

Help me with this thing thanks anoarefi

Answers

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures

Answers

Answer:

C. size

Step-by-step explanation:

A dilation does not change the shape of a figure, but it can change the size.

Plz help !!!!!!!!!!!!!!!!!!

Answers

Answer:

i am sorry i do not understand ill try to look harder ill keep u updated

Step-by-step explanation:

The answer is D.
Cars cost 3 dollars you have to multiply 3 times 50
75 were the totals of cars AND trucks since cars are cheaper it has to be the bigger number and the biggest number is 50 and the rest it’s 25 so it had to be 3 x 50 = 150 5 x 25 It’s 125. The total amount they made was $275 and 150 plus 125 equals 275
Hope this helps

Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?

Answers

error please try again

Please help me with this question it is my first grade so I need to get it right on the answer if you’re positive you know

Answers

it's symmetrical because they both look alike on each sides

m = 5.71 + 0.25n
j = 4.66 + 0.60n
In the equations above, m and j represent
the price per gallon of milk and orange juice,
respectively, n months after December 31, 2018.
What was the price per gallon of milk when it was
equal to the price per gallon of orange juice?
A) $5.96
B) $6.21
C) $6.46
D) $6.71

Answers

Answer:

C) $6.46

Step-by-step explanation:

Equations

The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:

m = 5.71 + 0.25n

j = 4.66 + 0.60n

Where n is the number of months after December 31, 2018.

It's required to find the value of n when both prices are equal:

4.66 + 0.60n = 5.71 + 0.25n

Subtracting 0.25n:

4.66 + 0.60n - 0.25n = 5.71

Subtracting 4.66:

0.60n - 0.25n = 5.71 - 4.66

Operating:

0.35n = 1.05

n = 1.05/0.35

n = 3

The price per gallon of milk for n=3:

m = 5.71 + 0.25*3

m = 5.71 + 0.75

m = $6.46

Write the
following in
slope-intercept
form:
7x - 2y = -6

Answers

y = 7/2x + 3 is the slope-intercept form

2y = 7x + 6 or the simplified version would be y = 7/2x + 3

Step-by-step explanation:

u just gotta know that slope intercept form is the equation y=mx+b


Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?

Answers

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.


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32 / 114 Marks
Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search

Answers

Step-by-step explanation:

4(2x-1)+3(2x+5)

8x-4+6x+15

8x+6x-4+15

14x+11

Answer:

14x +11

Step-by-step explanation:

4(2x-1)+3(2x+5)=8x-4+6x+15

=14x+11

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