Ludwig the cow has decided to build a rectangular fence around his part of a pasture because Gustav the goat thinks he is cool and can eat all the grass he wants, including the grass on Ludwig’s side of the pasture. Ludwig determines that the perimeter of the fence has to be greater than 132 yards. If Ludwig needs the width of the fence to be eight less than the length, determine, to the nearest whole yard, the smallest the length of the fence can be and still have a perimeter greater than 132 yards.

Answers

Answer 1

9514 1404 393

Answer:

  38 yards

Step-by-step explanation:

Let x represent the length and y the width, both in yards. Then the required relations are ...

  2(x+y) > 132 . . . . . . the perimeter is greater than 132 yards

  y = x - 8 . . . . . . . . . . width is 8 less than length

Substituting for y in the first equation gives ...

  2(x +(x -8)) > 132

  4x -16 > 132

  x -4 > 33

  x > 37

The smallest length the fence can be is 38 yards.

__

Check

At that length, the width is 30 yards, and the perimeter is 2(38+30) = 136 yards. If the length were 37 yards, the perimeter would be 132 yards, which is not greater than 132 yards.


Related Questions


The shapes of the horizontal cross-sections of the cone below are not all
congruent.
A. True
B. False

Answers

Answer:

B. False

Step-by-step explanation:

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

Step-by-step explanation:

The solution is, the given statement is B. False.

What is a cross-section of any shape?

A cross-section is a shape formed by cutting a solid (such as a cone, cylinder, or sphere) with a plane. If a cylinder-shaped object is cut by a plane parallel to its base, the resulting cross-section is a circle. As a result, the object intersected.

here, we have,

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

To learn more about the cross-section of the shapes, visit:

brainly.com/question/13028300

#SPJ7

please help! ill give brainliest for best answer

Answers

11, because it is the closest and therefore the most accurate following the trend

Answer:

I say B

Step-by-step explanation:

What is the value of the smaller zero of the function defined by 2x2 + 9x + 7?

Answers

Answer:

We can factor the quadratic function into (2x + 7)(x + 1) and this way, the terms sum to 2x^2 + 9x + 7. Looking at the 2 factors 2x+7 and x+1, the way to find the zeros is to set both of these expressions equal to 0. Therefore we have: 2x+7=0

Step-by-step explanation:

help as much as you can lol

Answers

Answer:

11 at 2?

Step-by-step explanation:

find lowest common denominator write the equivalent fractions 2/5 and 1/10

Answers

Answer: 4/10 = look below for explanation

Step-by-step explanation:

Transform 2/5 into the same demononator

= 2/5 becomes 4/10 because you've multiplied 2x2 and 5x2

which becomes 4/10 and 1/10

to solve: 4/10 - 1/10 = 3/10

7.
Which expression is equivalent to
20x2 - 1) + 3x(1-4)? (Unit 6)

Answers

Oh yeah I have to get

divide £720 in the ratio 5 : 7

Answers

5+7=12

£720÷12= 60

5:7

5×60=300

7×60=420

300:420

PLS HELP !!

A total of 78 seats for a local concert are sold, producing a total revenue of $483.
If seats cost either $2.50 or $10.50, how many of the $2.50 seats were sold?
seats.


Part B
How many of the $10.50 seats were sold?
seats

Answers

Answer:

add them then multiply

Step-by-step explanation:

I have a math test today and this is the only question I didn’t really understand-

Answers

Answer:

you cant put test questions on here

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!
WILL GIVE BRAINLIEST!!!!
Plus A FOLLOW!​

Answers

Answer:

b

Step-by-step explanation:already did it

Complete to get an equivalent fraction:
9/c = _____/(3c)

Answers

Since the denominator was multiplied by 3, you have to do the same with the numerator. 9×3 = 27

Henri bought a swimsuit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.
If the selling price is marked up by 25 percent, the new price will be $10.
If the selling price is marked up by 40 percent, the new price will be $7.50.
If the selling price is marked up by 55 percent, the new price will be $5.50.
If the selling price is marked up by 70 percent, the new price will be $13.60.
If the selling price is marked up by 75 percent, the new price will be $14.

Answers

Answer:

The first, second to last and last stements are true

Step-by-step explanation:

You times 8 by the percentage as

e.g 8 x 1.50 = 12   is the same as marked up by 50%

e.g 8 x 1.70 =13.6  is the same as marked up by 70%

Answer:

The first, forth, and fifth statement are all true.

Step-by-step explanation:

if you multiply 8 by the percent it is going up by then add 8 to that you will get your answers.

Can someone help me out please??​

Answers

Answer:

the 2nd one is the answer.

x ≥ −8

Step-by-step explanation:

Hope that helps

Sorry if wrong

6 is 15% of what? plz help me

Answers

Well 6 divided by 0.15 is 40 so it’s 15% of 40
40 I believe :)))))))))))

find the slope of the line that goes through (-4,2) and (3,-5)

Answers

Answer:

-1

Step-by-step explanation:

m = -7 / 7 = -1 / 1 = -1

Answer:

-1

Step-by-step explanation:

To find the slope given two points, use the formula: [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. In this case, the formula would be: [tex]\frac{-5-2}{3-(-4)}[/tex]. Solve the top first: -7. Solve the bottom next: 7. So your answer is: [tex]\frac{-7}{7}[/tex] or -1.

Hope it helps!


Roy has $30 in a savings account. The interest rate is 10% per year and is not
compounded. How much will he have in 4 years?

Answers

Answer:

$43.92

Step-by-step explanation:

1st year:

30 x 10% = 3

30 + 3 = 33

2nd year:

33 x 10% = 3.3

33 + 3.3 = 36.3

3rd year:

36.3 x 10% = 3.63

36.3 + 3.63 = 39.93

4th year:

39.93 x 10% = 3.99

39.93 + 3.99 = 43.92

$16 is the answer and good luck I’m writing the rest of this bc Brainly makes me lol

solve the equation -4+4a=12 for a.

Answers

Answer:

4

Step-by-step explanation:

4 x 4 is 16 and then because of the negative you take away 4 so its 12.

Answer:

a=4

Step-by-step explanation:

-4+4a=12

add four to 12

4a=16

divide

find the value of x and show how

Answers

Answer:

x≈ 5.4

Step-by-step explanation:

180°-110°= 70°

70° is the measure of the angle represented by 11x+11

set the equation equal to 70°

11x+11= 70°

-11 on both sides

11x= 59

÷11 on both sides

x≈ 5.4

11(5.4)+11≈ 70.4 ≈70

3) You find a jar of quarters on the sidewalk and decide to start collecting them to cash in at the end of the school year.
You are able to find 50 new quarters every week and after 5 weeks you have 350 total quarters.
Write an equation that gives the number of quarters as a function of how many weeks passes.
Need h
Show work
At the end of school (24 weeks) you cash in your quarters. How much money do you have?

Answers

Answer:

I dont rally know

Step-by-step explanation:

try it yourself

The first three terms of an arithmetic sequence are as follows. 17,25 , 33 Find the next two terms of this sequence.

Answers

Answer:

the next two terms are 41 and 49

Answer

41, 49

Step-by-step explanation.

17 too 25 is 8 and from 25 too 33 is also 8 so the 4th term is 33+8= 41 and the 5th term is 41+8=49

Best character in Super Smash Bros

Answers

Answer:

King K Rool and Pokemon Trainer

Step-by-step explanation:

Cuz K Rool thicc so he can tank hits, he has a counter, and has projectiles.

Answer:

Little mac

Step-by-step explanation:

Do not listen to whatever anyone else says, he is the BEST character by far.

A radioactive substance has a half-life of one month, which means that at the end of each month, the level of radioactivity is half the level that it was at the beginning of the month The substance was discovered in the soil
near a high school football field. The table shows the relationship between the radioactivity level found in the soil, r(t)and the number of months since discovery, 2.
2
10
5
25
125
4
Which statement correctly interprets the initial value?

Answers

The level of radioactivity in the soil is decreasing by a factor of 1/2 each month

24x2+25x−47ax−2=−8x−3−53ax−2

Answers

Answer:

x=0,x=-(2a+11)/8

tep-by-step explanation:

01010101010101010100101010100100101010101010010101101001010101101001010100101010101010100000000010101010101010010101010101010101011001001101010101010010101001010100101010110011010010101010101010101011001101010110101010101010110011001010101010101010010110010101010100101010010101010101010101010101010101001010101010010101010110: BINARY CODEEEEEEEEEEEEEEE


number 5 might be kinda of hard too read soory

Answers

Answer:

1. first one

2. there are no solutions that i see

Step-by-step explanation:

Sue and Cathi have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?

Answers

Answer:

6 miles

Step-by-step explanation:

20 - 2 is 18, 18/3 is 6.

Evaluate the function
Find g(10) if g(x) = 10x – 8

Answers

Answer:

g(10)=92

Step-by-step explanation:

g(x)=10x-8

To find g(10), substitute x with 10

g(10)=10(10)-8

g(10)=100-8

g(10)=92

I hope this helps!

Nancy's garden has the dimensions shown. She need to find the area of the garden so she knows how much topsoil to buy.

Answers

Answer:

she needs 12 3/8

Step-by-step explanation:

у — 3x = -1
HELP ASAP THANKS

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Add  3 x  to both sides of the equation.

y = -1 + 3x

Reorder

hope this helps :)

write the slope-intercept form of the equation of a line with a slope of -5/8 that passes through the point (-14, 6)

Answers

Answer:

y=-5/8x-11/4

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-5/8(x-(-14))

y-6=-5/8(x+14)

y=-5/8x-70/8+6

y=-5/8x-11/4

estimate the product of 356 x 67?

Answers

Answer:

24000

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

its the closest one to yhe actual figure

Hope I helped!

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