A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area. What is the maximum area that can be enclosed by the fencing? Enter your answer in the box.

Answer: 5/8

Step-by-step explanation:

find common denominator:

Multiple: 3/4 * 5/6 = 3 · 5/4 · 6= 15/24 = 5 · 3/8 · 3 = 5/8 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator  GCD(15, 24) = 3. In the following intermediate step, cancel by a common factor of 3 gives 5/8. In other words - three quarters multiplied by five sixths = five eighths.

Answer:

[tex]62[/tex]

Step-by-step explanation:

[tex]8\cdot \:7\frac{3}{4}[/tex]

[tex]7\frac{3}{4}[/tex]

[tex]7\frac{3}{4}=\frac{7\cdot 4+3}{4}[/tex]

[tex]=\frac{31}{4}[/tex]

[tex]=8\cdot \frac{31}{4}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:8=\frac{8}{1}[/tex]

[tex]=\frac{8}{1}\cdot \frac{31}{4}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{8\cdot \:31}{1\cdot \:4}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4[/tex]

[tex]=\frac{8\cdot \:31}{4}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]

[tex]=2\cdot \:31[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:31=62[/tex]

[tex]=62[/tex]

Answer:

0 1 6. 4 5 9

7 1 1 5. 2 1 3

− 0

1 1

− 7

4 5

− 4 2

3 2

− 2 8

4 1

− 3 5

6 3

− 6 3

0

Step-by-step explanation:

When two lines intersect each other then the vertically opposite angles are equal. Then the correct option is A.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The diagram is shown.

We know that when two lines intersect each other then the vertically opposite angles are equal.

Then

x = 52° because they are vertically opposite angles.

Thus, the correct option is A.

More about the angles link is given below.

https://brainly.com/question/15767203

Answer:

12.5 percent chance

Step-by-step explanation:

1 in 8 laps

x 100

12.5

Answer:

Step-by-step explanation:

Where 'c' is, plug its value into the equation:

3 < 9 - 7

Simplify (9-7)

9 - 7 = 2

"The crocodile ALWAYS eats the bigger umber" in true equations

3 < 2 reads: 3 is less than 2

Is 3 less than 2?

No, 3 is greater than 2.

Your answer is 'no'.

Answer:

point B

Step-by-step explanation:

point B is located at (-2, 5).

Hope it helps you in your learning process.

Answer:

B

Step-by-step explanation:

It is on the -2 5 so therefore your answer is B.

D is on 2 and -5
C is on 5 and -2
A is on -5 and 2

Therefore, it's B confirmed.

Answer:

A) 9 seconds

B) lowest point is -81 ft, or 81 ft below the top of the bungee jump

C) 18 seconds

Step-by-step explanation:

A) To find the x-value of the turning point (minima/maxima) differentiate, then set to zero and solve for x:

[tex]\dfrac{dy}{dx}=2x-18\\\\\implies \dfrac{dy}{dx}=0\\\\\implies 2x-18=0\\\\\implies x=9[/tex]

Therefore, it took 9 seconds to reach the minimum height

B) lowest point is when x = 9:

⇒ y = (9)² -18(9) = -81

Therefore, lowest point is -81 ft, or 81 ft below the top of the bungee jump

C) find x when y = 0

⇒ x² - 18x = 0

⇒ x(x - 18) = 0

⇒ x = 0  and  x - 18 = 0

⇒ x = 0  and x = 18

So he returned to the top of the bungee jump at 18 seconds

Answer:

A) 9 s  

B) -81 feet  

C) 18 feet

step by step explanation:

A)

[tex]\sf y = x^2 - 18x[/tex]

use the vertex formula: [tex]\sf \frac{-b}{2a}[/tex]

Here a = -18 and a = 1, these are coefficients from ax² + bx + x

solve:

[tex]\hookrightarrow \sf \frac{--18}{2(1)}[/tex]

[tex]\hookrightarrow \sf \frac{18}{2}[/tex]

[tex]\hookrightarrow \sf 9[/tex] s

It takes 9 s for Jason to reach his minimum height.

B)

if taken 9 s then put it in x and find the height reached

[tex]\sf \hookrightarrow \sf h(9) = 9^2 - 18(9)[/tex]

[tex]\sf \hookrightarrow h(9) = 81 - 162[/tex]

[tex]\hookrightarrow \sf h(9) = -81[/tex]

The lowest point is - 81 feet, as it says lowest.

C)

solve for when the height, y is 0

[tex]\hookrightarrow \sf 0 = x^2 -18x[/tex]

[tex]\hookrightarrow \sf 0 = x(x -18)[/tex]

[tex]\hookrightarrow \sf x = 0, \ x -18 = 0[/tex]

[tex]\hookrightarrow \sf x = 0, \ x = 18[/tex]

[tex]\hookrightarrow \sf\ x = 18[/tex]

Jason returned to the top of the bungee jump at 18 s.

Answer: The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

No of gift she bought - 8

The total amount she had - $30

The amount left over - $16.75

The amount of one gift - x

[tex]8x + 16.75 = 30 \\ 30 - 8x = 16.75 \\ [/tex]

Answer:

Step-by-step explanation:

300.364 us liquid gallonsgallons

»[tex]\frac{b^{12} × b}{b^7 × b^4} = b^x[/tex]

»[tex]\frac{b^{13}}{b^{11}} = b^x [/tex]

»[tex]b² = b^x[/tex]

»x = 2✅

The lengths JL and PM are the lengths that make up the triangle JMP

The side length JL is twice the side length PN.

So, we have:

JL = 2 * PN

This gives

JL = 2 * 39

JL = 78

Hence, the length of JL is 78 units

The side length PM is half the side length KL.

So, we have:

PM = 0.5 * KL

This gives

PM = 0.5 * 95

PM = 47.5

Hence, the length of PM is 47.5 units

The angle MLK is congruent to the angle JMP.

So, we have:

MLK = JMP

This gives

MLK = 105 degrees

Hence, the measure of angle MLK is 105 degrees

Read more about lengths and angles at:

https://brainly.com/question/2005046

Answer:

6/9, 12/18 (just 6 then 12)

Step-by-step explanation:

Please mark brainlest

Answer:

6/9  

12/18

Step-by-step explanation:

Hopefully this is correct

Answer:  

3300

Step-by-step explanation:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 3291 rounded to the nearest hundred is:

3300

Answer:

3,300

Step-by-step explanation:

Because rounding to the nearest 100 means hundred.

But so the rule is 5 or more raise the score 4 or less let it rest so the 2 is asking the 9 if he can get bumped up.

since the 9 is 5 or more it can raise the score so the 2 goes up to?

3 since 3 is the number right above 2

so your answer is 3,300 Hope this helps have a great day:)

Answer:

125°

Step-by-step explanation:

a+b+c=180° (sum of a triangle is 180°

40°+15°+x = 180°

55°+x = 180°

x = 180°-55°

=125°

Answer:

Question i)

If        y = 4x² - 4x - 1  

and   4x² - 4x - 1 = 0

then   y = 0

Therefore, we need to find the points on the curve where y = 0.

From inspection of the graph these are approximately when x = -0.25 and x = 1.25

So estimates of the solutions are (-0.25, 0) and (1.25, 0)

Question ii)

If        y = 4x² - 4x - 1

and   4x² - 4x - 1 = 2

then   y = 2

Therefore, we need to find the points on the curve where y = 2.

From inspection of the graph these are approximately when x = -0.5 and x = 1.5

So estimates of the solutions are (-0.5, 2) and (1.5, 2)

Answer:

B.  {-2, 0, 1, 3}

Step-by-step explanation:

See attached image.

Answer:

https://brainly.com/question/12243924 Here is the answer from another user. Hope this helps.

The value of x of the factored expression when p = 4 and q = -4 is 1008

Factorisation is the breaking down of an entity or a mathematical expression.

Therefore,

x = p²q²q + pq - q³ - p³

it cannot be factored

x = p²q³ - q³ - p³ + pq

Therefore,

when p = 4 and q = -4

x = p²q³ - q³ - p³ + pq

x = (4)²(-4)³ - (-4)³ - (4)³ + 4(-4)

x = 16(-64) + 64 - 64 - 16

x = 1024 - 16

x = 1008

learn more on expression here: https://brainly.com/question/4470031

Answer: Pie chart!

Step-by-step explanation: It is pefect for seperating things or people into sections that show how much % it takes of the whole. You would be able to have a section of each hair color in a pie chart.  hope it helps! ^w^

Answer:

Step-by-step explanation:

The whole thing is wrong

31 - 12 = x

X = 19

Hope this helped thanks.

Answer:

Melody added 12 to both sides when she should've subtracted 12 from both sides.

X = 19

Step-by-step explanation:

When solving equations, you have to do the opposite operation given on both sides of the equation. In this case, the operation that's happening is addition, so we have to subtract 12 from both sides.

Step 1: Subtract 12 from both sides.

Answer:

The interest earned at the end of 8 years is $5400, hope this helps!

Step-by-step explanation:

The interest earned at the end of 8 years is $5400.The fee you pay to borrow money or the fee you charge to lend money is called interest.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

It is given that, Simon put $15000 in an account with a simple interest rate of 4.5% for the time period of 8 years.

Principal,P = $15000

Rate,R = 4.5% per annum

Time period, T =8 years

The simple interest is found as,

SI = (P×R×T) / 100

Where P is the principal, T is the rate and T is the period.

SI =  ( $15000×4.5× 8 ) / 100

SI = $540000/100

SI = = $5400

Thus, the interest earned at the end of 8 years is $5400.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

Answer:

See below

Step-by-step explanation:

A line that passes only two quadrants must have either 0 slope or undefined slope.

An example of a line with 0 slope is the equation y=5 since there's just a constant and there is no change in y as x changes.

An example of a line with an undefined slope is the equation x=3 since there's just a constant and there is no change in x as y changes, but the change in y divided by the change in x is undefined.

Answer: 68 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees.

Since we are given 2 of the angles, we can set up an equation.

Let the measure of angle G = g.

Then, g + 97 + 15 = 180

g + 112 = 180

g = 68

Answer:

68°

Step-by-step explanation:

All triangles add up to 180°, so you would simply do:

97° + 15°
= 112°

And then:

180° - 112°
= 68°

:3

Answer:

y=3/4x

Step-by-step explanation:

3 is the rising number 4 is the run

meaning it goes up 3 and 4 to the side.