Help please.........

Answer:

Length of the rectangle = 16.5 feet

Step-by-step explanation:

Border length bought = 62.5 feet

Including 5 feet extra

Border length needed = 62.5 feet - 5 feet

= 57.5 feet

Border needed = perimeter of the rectangle = 57.5 feet

Width of the rectangle = 12.25 feet

Length of the rectangle = x feet

Perimeter of a rectangle = 2(Length + width)

57.5 =2(x + 12.25)

57.5 = 2x + 24.5

57.5 - 24.5 = 2x

33 = 2x

x = 33/2

x = 16.5 feet

Length of the rectangle = 16.5 feet

There is 1.41666... (repeating decimal) string left when 1 and 3/4 are cut from a piece measuring 3 and 1 /6 inches.​

Answer:

a) The factors of x² + 3·x are x and (x + 3)

x² + 3·x = x·(x + 3)

b) The factors of 2·x² - 8·x are 2, x and (x - 4)

2·x² - 8·x = 2·x·(x - 4)

c) The factors of 6·x + 9·x³ are 3, x and (2 + 3·x²)

6·x + 9·x³ = 3·x·(2 + 3·x²)

d) The factors of 12·x³ - 4·x² are 4, x², and (3·x - 1)

12·x³ - 4·x² = 4·x²·(3·x - 1)

Step-by-step explanation:

The question relates to resolving a polynomial into its factors;

a) For the polynomial (quadratic) equation, x² + 3·x, we have;

x² + 3·x = x·(x + 3)

Therefore, x² + 3·x in factorized form is x·(x + 3)

b) For the polynomial (quadratic) equation, 2·x² - 8·x, we have;

2·x² - 8·x = 2·x·(x - 4)

Therefore, 2·x² - 8·x in factorized form is 2·x·(x - 4)

c) For the polynomial (cubic) equation, 6·x + 9·x³, we have;

6·x + 9·x³ = 3·x × (2 + 3·x²)

Therefore, 6·x + 9·x³ in factorized form is 3·x·(2 + 3·x²)

d) For the polynomial (cubic) equation, 12·x³ - 4·x², we have;

12·x³ - 4·x² = 4·x²·(3·x - 1)

Therefore, 12·x³ - 4·x² in factorized form is 4·x²·(3·x - 1).

the constraints for the variables is 2

The required inequality is given as 3x + 4y ≤ 900.

Given that,
The baseball team plans to sell tins of popcorn and peanuts. The players have $900 to spend on products and can order up to 200 tins. They want to order at least as many tins of popcorn as tins of peanuts. A tin of popcorn costs $3, and a tin of peanuts costs $4.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Let, the number of pop-corn tin be x and the number of peanuts tin be y,
According to the question,
Cost of the x tin of popcorn = 3x
Cost of the y tine of peanuts = 4y
Now the sum of the cost of popcorn and peanuts must no exceed $900,
So
3x + 4y ≤ 900

Thus, the required inequality is given as 3x + 4y ≤ 900.

Learn more about inequality here:

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Answer:

Which of the following equations was used to graph the line shown?

Step-by-step explanation:

a)y=6+x

b)y=6-x

c)y=x-6

d)y=6x

the answer is  y=6x

im not sure if this is correct but i think it is and i am really sorry if it isnt

i hope this helps :)

Answer: 0.6

Step-by-step explanation:

0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Nuan is using a faulty barcode scanner that misreads barcodes 5% of the time.

Let B = the number of barcodes Nuan scans until the scanner misreads one.

n=10

p=5%=0.05

Mean=1/p=1/1/20=20

Variance=1-p/p²

=1-1/20/(1/20)²

=19/20×400

=380

Standard deviation=√380=2√95=19.493

p(x=10)=0.0315

p(x<10)=0.3697

p(x≤10)=0.40126

p(x>10)=0.598

=0.6

Hence, 0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

137.5

Step-by-step explanation:

2=25

4=50

6=75

8=100

10=125

11=125+12.5 = 137.5

Answer:

The average rate will be -11000 dollars per year.

Step-by-step explanation:

The price of a house in 2005 = $250,000

The  price of a house in 2010 = $195,000

at x₁ = 2005, f(x₁) = 250,000

at x₂ = 2010,  f(x₂) = 195,000

Using the formula to determine the average rate of change for the

house each year.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [195,000 - 250,000 ] / [2010-2005]

                      = -55000 / 5

                      = -11000

Therefore, the average rate will be -11000 dollars per year.

Answer:

The lake is 11.3 m below sea level.

Step-by-step explanation:

Mei's initial position on the field was 0.5 m below sea level.

The lantern rises 913.9 m after its release.

The lantern descends 925.2 m to land on the surface of a lake.

Let the elevation of the lake to sea level be represented by x.

So that;

x = 913.9 - 925.2

  = -11.3

x = 11.3 m below sea level.

Therefore, the lake is 11.3 m below sea level.

Answer:

The original price is $409.5

Step-by-step explanation:

the 2 numbers that you have in this equation are 315 and 30% (or .30)

You want to multiply 315 by .3 to get an answer of 94.5

That's the amount of money that was marked down on the guitar

So you want to add 94.5 to 315 which gives you 409.5

so $409.5 is your answer

Answer:

the answer can be anything close to that your welcome. if you need help text me but first try by your self

Answer:

x=8+4y

Step-by-step explanation:

Add 8y to both sides:

2x=16+8y

Divide both sides by 2:

x=8+4y

Answer:

St/EF = WR/CD

Step-by-step explanation:

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]

Hence the correct proportion is,

[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]

Thus the option H is the correct option.

Learn more about the similar polygon here;

https://brainly.com/question/771807

Answer:

12

Step-by-step explanation:

Since 5+8=13, it has to be less than 13. The greatest possible perimeter is 25.

This means that 12 could be a possible side length for the third side.

Answer:

A

Step-by-step explanation:

Both of them Equal 4

Answer:

i think 3.33

Step-by-step explanation:

r = y/x

x=3, y=30

r= 3/10

r=3.33

Answer:

110°

Step-by-step explanation:

The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines  on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).

Therefore:

∠4 and ∠6 are consecutive interior angles. Hence:

∠4 + ∠6 = 180° (sum of co-interior angles)

∠4 + 70 = 180

∠4 = 180 - 70

∠4 = 110°

Answer:

110°

Step-by-step explanation:

a p e x

Answer:

6? If its a squared machine than it is 6 bc 6 squared is 36.  sorry if it is wrong.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

A, B and E are equations because they have an equal sign

C and D are inequalities because they have one of these symbols:

<, >, ≤, ≥

Answer:

A, 14

Step-by-step explanation:

Assuming that she has a total of d dollars, and spends half of it, then we have 1/2d. She then spends another 6 dollars, and therefore we would subtract. She is left with one dollar.

1/2d-6=1

Working backwards, we can solve for d, her total amount of money:

1/2d=7

d=14

I hope this helps! :)

Answer:

trifi

Step-by-step explanation:

4t3 a good relationship is the same way you could get to the claire family thing you want but I have different feelings about the same way

Answer:

I do not think that this is a function, but I am not 100% sure

Step-by-step explanation:

Answer:

24-8n

Step-by-step explanation:

FORMULA: a1 (n-1) d

a1: 1st term

d: difference

16 (n-1) -8

16-8n+8= 24-8n

hope it helps! please mark me brainliest..

thank you..have a good day

Answer:

4

Step-by-step explanation:

There are 4 numbers to the right of decimals in question.

Pls mark Brainiest :)

Answer:

6/8

Step-by-step explanation:

3/4

3*2=6

4*2=8

6/8= 3/4

Answer: 6/8

Step-by-step explanation: