Jackson wants to form a rectangular pen with 420 ft. of fencing. What should the dimensions be to provide the maximum area?

Answers

Answer 1
I believe each side of the fence would be 105 ft
the area of the pen would be 11,025

Related Questions

What value is missing from the table

Answers

Answer: it think its A

Step-by-step explanation:

Joseph and Ryan have 84 cards to sign. Joseph sins 1/4 of the cards. While Ryan signs 3/7. How many cards are left to be signed?

SIDE NOTE: PLEASE BE FAST!!

Answers

Answer:

27 cards left to be signed

Answer:

27 cards

Step-by-step explanation:

first we need to find what 1/4 of 84 is which will be 21 then we need to find what 3/7 of 84 is which will be 36 now we add the two getting 57 and then subtract 57 from 84 leaving us with 27 cards left. hope this helps.

What is the quotient of 1476 and 12

Answers

The quotient is 123.
The quotient of 1476/12 is 123

What is the equation needed to solve for X?

Answers

2.4 is the right answer my guy

Answer:

[tex]x - 8 + 4x - 7 = 180 \\ \\ 5x - 15 = 180 \\ \\ 5x = 180 + 15 \\ \\ 5x = 195 \\ \\ x = 195 \div 5 \\ \\ x = 39 \\ [/tex]

In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.

Answers

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

Find the value of x.

75°
36°

Answers

Answer:

111 is X

Step-by-step explanation:

So the theroum for any extended angle is to add the two opposite angles.

So if you add the 2 numbers is suppose to be X.

75+36=111

Thats it

Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?

Answers

cost of 4 snacks

Answer: 53

Total cost: 3.50× + 39

A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.

Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.

Answers

Answer:

15,000

Step-by-step explanation:

1/3 times 45,000 = 15,00

The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A factory produces blue pens and black pens.

2/3 of the pens produced at the factory are black.

If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.

Number of blue pens = T - 2/3 T = 1/3 T

Given that,

Total pens produced = 45,000

Equation to find the number of blue pens is,

x = 1/3 × 45,000

Solving,

x = 15,000

Hence the number of blue pens produced is 15,000.

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Please help very urgent

Answers

Answer:

Amplitude = 5.5 units

Domain = All Real Numbers

Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.

Can you figure out the missing number​

Answers

Answer:

probably 6 thats one of the missing ones

The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?

Answers

Answer:

12 options

Step-by-step explanation:

Blue

Blue and Lion

Blue and Bear

Blue and Porpoise

Black

Black and Lion

Black and Bear

Black and Porpoise

Brown

Brown and Lion

Brown and Bear

Brown and Porpoise

Grey

Grey and Lion

Grey and Bear

Grey and Porpoise

There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from

Which expressions are equivalent to the one below? Check all that apply.
9x
A. 3. 3x
B. 32.34
O C. 3.32%
D. (3.3)*
E. 3*. 3x
F. 32x

Answers

Answer:

The answer would be A. 3.3x

Step-by-step explanation:

3.3x can be broken down as 3.3.x

3.3 equals 9 and the 'x' is multiplied to 9.

Hence, it equals to 9x.

The expressions are equivalent to the 9ˣ is

3²ˣ  = 3ˣ . 3ˣ  =  (3 . 3)ˣ  = 9ˣ

Option C, D and F are correct.

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have to find the Equivalent Expression to

So, we will check each option one by one as

1. 3² * 3ˣ

[tex]3^{2+x[/tex]  ≠ 9ˣ

2. 3 * 3²ˣ

[tex]3^{1+2x[/tex] ≠ 9ˣ

3. 3²ˣ  

= (3²)ˣ

= 9ˣ

4. 3ˣ x 3ˣ  

= 3(ˣ⁺ˣ)

= 3²ˣ

= (3²)ˣ

= 9ˣ

5. 3 x 3ˣ ≠ 9ˣ

6. (3 . 3)ˣ  

= 9ˣ

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A woman bought a number of items for $72. She realized that if she had bought 12 more items for the same money, she would have paid $8 less per item. How many items did she buy?

Answers

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References

People also askStep-by-step explanation:

50% of the 60 shoe options at Baby Steps, a shoe store, are sneakers. How many of the shoe options are sneakers?

Answers

Answer:

30

Step-by-step explanation:

50% is equivalent to 0.5 or 1/2. To find how many of the shoe options are sneakers, we multiply the total number of shoe options (60) by 0.5 to get 30.

use a long method division to calculate 145 413 by 321​

Answers

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

What is Division?

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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Questions and answers attached

Answers

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100


Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618

Answers

Answer:

C. 6(104)=624

Step-by-step explanation:

edge quiz

The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24

How to evaluate the sigma notation?

The sigma notation is given as:

[tex]\sum \limits^{104}_{n = 1} {6}[/tex]

The above means that we add 6 in 104 places.

i.e. 6₁ + 6₂ + ................ + 6₁₀₄

The expression can be expressed using the following product

[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]

Evaluate the product

[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]

Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24

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Answer in the attachment :)

Answers

I think it's c hope it's right

match each term with its definition,

Answers

Answer:

Population-1

Sample- 2

Simulation-4

biased sample- 3

It takes Andre 4 minutes to swim five laps, if Andre swims 22 laps, at the same rate as she swam 5 laps, how long does it take him?

Answers

Answer:

17.6

Step-by-step explanation:

But im not sure if u can use decimals

I= $169.67,P= $2000,t= 8 months

Answers

If ur trying to find the rate its 12.7252%

Step-by-step explanation:

of the students in the lunch room 40% are girls there are 20 girls in the the lunch room how many students are in the lunch room

Answers

Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

A clothing salesperson earns a 10% commission on a $65
sale. How much is the commission?

Answers

10% of $65 is 0.1*$65 so $6.50

Last year, Lien earned $1,600 more than her husband. Together they earned $51,000. How much did each of them earn?

Answers

Answer:

Lien: $26300 Her husband: $24700

Step-by-step explanation:

x+(x+1600)=51000

2x+1600=51000

2x=49400

x=24700

Her husband earned 24700

24700+1600=26300

Lien earned 26300

If f(x)=9ex, find f(5) rounded to the nearest tenth.

Answers

Answer:

1335.7

Step-by-step explanation:

f(5)= 9e^x

Substitute x for 5 and solve

The value of the equation f ( x ) = 9eˣ , when x = 5 is  1335.7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be f ( x ) = 9eˣ

The equation is an exponential form , and the value of x is substituted in the equation

When the value of x is 5

The value of e = 2.7182

x = 5

So , substituting the value of x in f ( x ) , we get

f ( x ) = 9eˣ

f ( 5 ) = 9 x e⁵

Now , e⁵ = 148.4131

And ,

The equation f ( 5 ) = 9 x 148.4131

                                = 1335.718

                                ≈ 1335.7

Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is  1335.7

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there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20​

Answers

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

What is the slope of the line?
x+ 3y = 10

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Hi,

x + 3y = 10

3y = 10 - x

y = -1/3x + 10/3

Your slope is -1/3

I hope this helps :)

Factor the quadratic expression completely.
-7x^2-24x-9

Answers

Answer:

(7x+3)(-x-3)

Step-by-step explanation:

-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x

7^10 is _____ times larger than 7^8.

Answers

Answer:

2 times greater

Step-by-step explanation: since 10 subtracted by 8 is 2

Sun works in a bakery and wants to know how many ounces of flour are in 5 flour sacks. If each sack contains 52 lbs of flour, how much is the total weight of the flour in ounces 1lb = 16 oz

Answers

4,160
5x52 = 260
260x16=4160
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