Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply. W = 50 ft; l = 10 ft w = 10 ft; l = 50 ft w = 20 ft; l = 60 ft w = 90 ft; l = 30 ft w = 50 ft; l = 40 ft.

Answers

Answer 1

The inequality that models the possible perimeter of the yard is 2(l + w) ≥ 200

The possible dimension of the width is 90 feet

The formula for calculating the perimeter of the fence is expressed as:

P = 2(l + w)

l is the length of the fencew is the width of the fence

If he has 200 feet of fencing, then:

2(l + w) ≥ 200

If the length of the fenced-in area to be at least 20 feet long, the equation becomes:

2(20 +w) ≥ 200

40 + 2w ≥ 200

2w ≥  200 - 40

2w≥ 160

w≥  80

Hence the possible dimension of the width is 90 feet

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Related Questions

75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school

Answers

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

An 8 ounce steak costs $12.80. How much would a 32 ounce steak cost?

Answers

Answer:

12.80 divided by 8 = 1.60

1.60 x 32 = 51.20

Step-by-step explanation:

Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?

Answers

Answer:

Muhammad will be able to make the scarf

Step-by-step explanation:

If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches

Please help! If possible please show your work. Thank you in advance!! :D

Answers

Answer:

(-4)³ = -64-64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

There are 6 triangles and 4 circles. What is the
simplest ratio of circles to total shapes?

Answers

Answer:

4/10

Step-by-step explanation:

4:10

as there are 4 circles, and 10 total (6 + 4)

simplify by diving by 2.

therefore the answer is,

2:5

(I guess, this could be simplified further, but it wouldn't be a whole number).

May I please receive help?

Answers

Answer:

it depends on the choices

Step-by-step explanation:

Consider the equation 5/3v +4 + 1/3v = 8. What is the resulting equation after the first step in the equation?

Answers

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution

NEED HELP ASAP…..plz help

Answers

I’m pretty sure the answer is D. I’m sorry if I’m wrong

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:answer d

Step-by-step explanation:

i just did the test

Juliet needs to rewrite 3 (x 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process? She could combine the x and 2 to get 3 (2 x) = 6 y. She could divide both sides by 3 to get x 2 = 2 y. She could distribute the 3 to get 3 x 2 = 6 y. She could subtract the 6y to get Negative 6 y = 3 (x 2).

Answers

The step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

Note that the standard equation of a line in slope-intercept form is expressed as y = mx + b

m is the slopeb is the y-intercept

Given the function 3(x+2)=6y, for Juliet to write in slope-intercept form, the best approach is to first divide both equations by 6 as shown:

[tex]3(x+2)=6y \\\frac{3(x+2)}{6} =\frac{6y}{6} \\\frac{x+2}{6}=y[/tex]

Swap sides

[tex]y=\frac{x+2}{6}\\y=\frac{1}{6}x +\frac{1}{3}[/tex]

She could as well distribute the 3 over x + 2 to have:

3(x + 2) = 6y

3x + 3(2) = 6y

3x + 6 = 6y

Hence based on the option, the step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

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Answer:

Its C

Nevermind Its Not its A or B

Step-by-step explanation:

:)

A horse's mane grows at the rate of 6 over 5 centimeters per month.

How many months will it take the horse's mane to grow 24 over 10 centimeters?

Explain your answer using words, and show your work using division of fractions.

Answers

Answer:

It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.

Step-by-step explanation:

Hope this helps, have a good day/night :)

It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A horse's mane grows at the rate of 6 over 5 centimeters per month.

Let x be a number of months.

(6/5)x = 24/10

6x = 12

x = 12/6 = 4/2 or

x = 2 months

Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

Learn more about the linear equation here:

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Classify the following triangle as acute, obtuse, or right.
O A. Acute
O B. Obtuse
O C. Right
O D. None of these

Answers

Answer:

It is an obtuse angle so correct

The given triangle is an obtuse angle triangle.

The correct option is (B).

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data in the diagram:

We are given a triangle and all the angles of the triangle are also given.

We have to find out the type of the triangle.

If all angles of a triangle are less than 90°, then it's an acute angle triangle.

If any angle of the triangle is greater than 90°, then it's an obtuse angle triangle.

If any angle of the triangle is equal to 90°, then it's a right angle triangle.

For the given triangle:

30° < 90°

24° < 90°

126° > 90°

The given triangle is an obtuse angle triangle.

Hence, the given triangle is an obtuse angle triangle.

To learn more on Triangle, click:

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Help me pls right now I give brainliest

Answers

Answer:

4 + (2 x 3)^2

Step-by-step explanation:

4 + 6^2

4 + 36

40

Which value for x proves that abc=def by sss

Answers

Answer:

7

Step-by-step explanation:

DE corresponds to AB.

37=5x+2

-2 -2

35=5x

7=x

What is the slope of the line passing through(-7, 8) (-8, 8) is?

Answers

Answer:

Step-by-step explanation:

(-7, 8) (-8, 8)

(y2 - y1) / (x2 - x1)

(8 - 8) / (-8 + 7)

0 / -1

the slope is 0

you could also see this because the y value doesn't change

if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )

m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0

Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-

Answers

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

plz help ppl keep putting links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

2y=8x-6 Find the Slope

Answers

Answer:

Slope is 4

Step-by-step explanation:

2y=8x-6

divide by 2

y=4x-3

y=mx+b

m is slope

m=4

The slope is the number 4

What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5

Answers

Answer:

10

Step-by-step explanation:

Multiply each side by the reciprocal, -5/2

x = -4 * -5/2

x = 20/2

x = 10

Pls help ion know how to this jaunt

Answers

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

pls pls pls help meeeee

Answers

Answer:

What do you need help with?

Step-by-step explanation:

estimate the line of best fit using two points on the line

Answers

Answer: The answer is Y = - 2/3x + 12

Step-by-step explanation: The line goes through point A

Answer:

[tex]y=-8x+80[/tex]

Step-by-step explanation:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]

[tex]y=mx+b[/tex]

[tex]y=-8x+b[/tex]

[tex]64=-8(2)+b[/tex]

[tex]64=-16+b[/tex]

[tex]80=b[/tex]

Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]

1234567891011121314151617181920

Answers

Answer:

What's this question? Oh my gosh!

How many terms are in the expression 3xy+2x+1​

Answers

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

x over 2 +2= 15 two step equations

Answers

Answer:

[tex]\boxed{\boxed{\sf x=84}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{x}{6} +2=16[/tex]

Multiply both sides of the equation by 6:

[tex]\sf x+12=96[/tex]

Subtract 12 from both sides:

[tex]\sf x=96-12[/tex]

Subtract 12 from 96:

[tex]\sf x=84[/tex]

_________________________________

Answer:

[tex] \sf \: \longmapsto\frac{x}{6} + 2 = 16[/tex]

[tex]\sf \: \longmapsto\frac{x}{6} = 16 - 2[/tex]

[tex]\sf \: \longmapsto \frac{x}{6} = 14[/tex]

[tex]\sf \: \longmapsto \: x = 14 \times 6[/tex]

[tex]\sf \: \longmapsto \: x = 84[/tex]

Step-by-step explanation:

[tex]\fbox {\fbox {\fbox {\fbox{ \pink{HeavenMistress}}}}}[/tex]

What is the equation of the line that passes through the point (8,-4) and has a slope of 3?

Answers

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

4square plus 2power of xdivide by 2 equal to 16 what is the answer of this question​

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: [tex]16+2^{x} / 2 = 16[/tex]

Now we can solve for x:

1.  [tex]16 + 2^{x} = 32[/tex]

2. [tex]2^{x}=16[/tex]

3. [tex]x=4[/tex]

What is the slope of the line that contains these points?

Slope:

Answers

Answer:

-4

Step-by-step explanation:

Slope formula:

m=y2-y1/x2-x1

I will use (-1,10) and (1,2)

2-10/1-(-1)

Which is

-8/2

Divide:

-4

Thus the slope is -4

Hope this helps!

Question 7 high school geometry.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]

therefore,

[tex] \sf12x - 8 + 104 = 180[/tex]

[tex] \sf12x + 96 = 180[/tex]

[tex] \sf12x = 180 - 96[/tex]

[tex] \sf12x = 84[/tex]

[tex] \sf x = 84 \div 12[/tex]

[tex] \sf x = 7[/tex]

Hence, the value of x is ~ 7

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

$1.20 per chicken

Step-by-step explanation:

[tex]\frac{money} {chickens}[/tex]

[tex]\frac{18}{15}[/tex]

1.2

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

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