A rectangular park has 2 paths of width 2m running across it. What is the total area covered by the 2 paths ?

Answer:

10 teenagers

Step-by-step explanation:

using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650

no of teenagers = 10

Answer:

[tex](x + 2)[/tex]

Answer B is correct

Step-by-step explanation:

[tex] {x}^{2} - 3x - 10 \\ {x}^{2} - 5x + 2x - 10 \\ x(x - 5) + 2(x - 5) \\ = (x +2 ) (x - 5)[/tex]

hope this helps

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good luck! have a nice day!

Answer:

P-99 as you would subtract 99 from original

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

$(x-100)

Step-by-step explanation:

His net winnings from the tournament will be the price minus the entry fee.

Therefore:

Phil's net winnings=$(x-100)

Answer:

x - 100

Step-by-step explanation:

Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).

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Explanation:

Calculate the unit rate for the first bag

8 kg = 26.04 dollars

8/8 kg = 26.04/8 dollars ... divide both sides by 8

1 kg = 3.255 dollars

1 kg = 3.26 dollars  .... rounding to nearest cent

For the first bag, the unit rate is about 3.26 dollars per kg

---------------

Repeat for the second bag

9 kg = 29.15 dollars

9/9 kg = 29.15/9 dollars ........ divide both sides by 9

1 kg = 3.23888888888889 dollars (approx)

1 kg = 3.24 dollars  .... rounding to nearest cent

The unit rate for the second bag is roughly 3.24 dollars per kg

We see that the second bag's unit rate is cheaper by 2 cents, so it is the better deal. This is despite the fact that the entire bag costs more.

Answer:

128 or 4,096

Step-by-step explanation:

If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.

The simplified value is 4096.

Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. Unlike algebraic expressions, algebraic identities satisfy all the values of the variables.

The basic algebraic identities are primarily helpful to work out the numerous math problems. The four basic algebraic identities are as follows.

Given:

64²

Now, we have to split the 64 into 60+4

(60 + 4)²

Now using the algebric identity

(a+ b)² = a² + b² + 2ab

So,

(60 + 4)²

=60²+2*60*4+4²

=3600+ 480+16

=3600+496

=4096

Hence, the simplified value is 4096.

Learn more about Algebraic identities here:

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Answer:

74.02

Step-by-step explanation:

divide by 10

Answer:

74.02 Centimeters

Step-by-step explanation:

1 centimeter = 10 millimeters

74.02 centimeters = 740.2 millimeters

Answer: y=3x^2+3x-3

(the first option)

Answer:

3y²+3x-3

Step-by-step explanation:

the first choice

Answer:

                          Cat owner           Dog owner           Total

Wet food                    9                         13                    22

Dry food                    10                        14                     24

Total                          19                        27                     46

Step-by-step explanation:

It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".

Cat owners-Wet food = 9

Dog owners-Wet food =13

Cat owners-Dry food = 10

Dog owners-Dry food =14

We need to construct a two-way frequency table for the data.

Take owners in the first row and type of food in first column and construct a two-way frequency as shown below:

                          Cat owner           Dog owner           Total

Wet food                    9                         13                    22

Dry food                    10                        14                     24

Total                          19                        27                     46

Answer:

64

Step-by-step explanation:

=> 8²

=> 8 × 8

=> 64

Answer:

My best answer. Hope this helps...

Step-by-step explanation:

You can see 1 full square in the triangle.

There are also 3 half squares.

The top part of the triangle also equals to 1 half square.

On the bottom right side, you have two shapes that add up to a square.

4 half squares = 2 full squares.

2 + 1 + 1 = 4

The square also has 4 squares.

Answer:

? = 7.45

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side/ hypotenuse

cos 20 = 7 / ?

Multiply each side by ?

? cos 20 = 7

Divide each side by cos 20

? = 7/ cos 20

? =7.449244407

To the nearest hundredth

? = 7.45

Answer:

7.45 units

Step-by-step explanation:

[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]

Answer:

Step-by-step explanation:

[8/63] + [ 4/15 ]

= (120 + 652)/945

= 0.82

Answer:

669.333333333

Step-by-step explanation:

divide 2008 by 3

Answer:

670

Step-by-step explanation:

Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]

So there are [tex]$\boxed{670}$[/tex] numbers.

Hope this helped! :)

Answer:

A)

Step-by-step explanation:

-6a + 2(2a + 2)  =  -6a + 4a + 4

= -2a + 4

Answer:

31/10 or 3 1/10

Step-by-step explanation:

11 - 23/5 - 33/10

Answer:

The supplement is 102

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+ 78 = 180

subtract 78 from each side

x+78-78 = 180-78

x = 102

Answer:

102

Step-by-step explanation:

Answer:

56.52

Step-by-step explanation:

V=πr²h

V=3.14*3²*2=56.52

Answer:

(x, y) → (x + 3, y + 5)

Step-by-step explanation:

[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

11/7 = (11 x 9)/(7 x 9) = 99/63 > 77/63

3/5 = (3 x 15)/(5 x 15) = 45/75

1/8 = (1 x 10)/(8 x 10) = 10/80

2/9 = (2 x 9)/(9 x 9) = 18/81

Hope this helps!

:)

Answer:

3

Step-by-step explanation:

The degree of polynomial is 3

Answer: It's a THIRD degree polynomial.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(k-p)(k-n)

=k^2 -(p+n)k+pn

this is the expanded form..

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Multiply the first 2 terms in each brackets

k x k = k^2

Multiply the two outside terms in the brackets

k x - n = -kn

Multiply the two inside terms

-p x k = -pk

Multiply the last two terms

-p x -n = pn

Place all the values together to get your answer of:

k^2 - kn - pk + pn

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Answer:

Since g(x) = 7x, we can substitute that into g(x) > which gives us 7x > 28. This simplifies to x > 4.

Answer:

x > 4

Step-by-step explanation:

g(x)=7x

g(x) >28

Replace g(x) with 7x

7x > 28

Divide by 7

7x/7 > 28/7

x > 4

Answer:

Step-by-step explanation:

If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):

[tex]d=\sqrt{(1-x)^2+(4-y)^2}[/tex]

but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:

[tex]d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 }[/tex] and simplify:

[tex]d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }[/tex]

. No we'll expand each binomial by squaring:

[tex]d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2) }[/tex]

.  Combining like terms gives us

[tex]d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50 }[/tex]

The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is

[tex]\frac{20}{9}x-\frac{20}{3}[/tex]

Setting equal to 0 and getting rid of the denominators gives us

20x - 60 = 0

Solving for x gives us

20x = 60 and x = 3.

That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:

[tex]d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50 }[/tex]

which simplifies down, finally, to

x ≈ 6.325 units

Answer:

Power, P = 80 W

Step-by-step explanation:

We have,

Weight of athlete is 960 N

It runs through a flight of stair case in 2 mins or 120 second

There are 100 stairs and each stair case has a length of 100 mm  or 0.1 m

Power is given by :

[tex]P=\dfrac{Fd}{t}[/tex]

d is distance

For 100 stairs,

So,

[tex]P=\dfrac{960\times 100\times 0.1}{120}\\\\P=80\ W[/tex]

So, the power of an athlete is 80 watts.

Answer:

z= 5w+2x -3/4 y

Step-by-step explanation:

add 2x to both sides and subtract 3/4 y.

Answer:

Domain

R (all real numbers)

Range

R (all real numbers)

Step-by-step explanation: