A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide

Answer:

The answer would be 10.

Step-by-step explanation:

10 is the number that has the most number of dots above it.

Answer:

work is pictured and shown

An expression to represent the given verbal expression is,

⇒ 100x + 8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The verbal expression is,

''Eight more than the product of a number and 100.''

Let an number = x

So, We can formulate;

⇒ Eight more than the product of a number and 100.

⇒ 8 + x × 100

⇒ 8 + 100x

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Answer:

9.46 ft

Step-by-step explanation:

Law of sines

10/sin(90)=x/sin(71)

x=(sin(71)*10)/sin(90)

x=9.46

Answer:

8 nickels and 18 dimes

Step-by-step explanation:

Make a system of equations:

n + d = 26

5n +10d = 220

Solve by elimination by multiplying the top equation by -5. This gives you:

-5n -5d = -130

5n +10d = 220

Then solve to get 5d= 90, then d= 18.

Then plug 18 for d in the equation n + d= 26, so n + 18= 26

n= 8

Answer:

x=29

Step-by-step explanation:

isolate x, and multiply the 29 by -1

Answer: 1. infinitely many solutions

2. no solution

3. one solution

4. no solution

5. infinitely many solutions

Step-by-step explanation:

1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows

2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.

3. one solution - which is when one variable equals one number

4. no solution

5. infinitely many solutions

Answer:

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

=========================================================

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

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A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Answer:

9.8 carats.

Step-by-step explanation:

5.1 + 0.7 + 1.4 + 2.6

= 9.8

Answer:

a) 17, 29, 41, 53, 65....

b) 12n + 5

Answer:

BC=[tex]\sqrt{95}[/tex]

Angle A (or BAC)=54.31466...

Angle C (or ACB)=35.68533...

Step-by-step explanation:

[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]

[tex]BC=\sqrt{12^2-7^2}[/tex]

[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]

[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]

[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]

Using the pythagorean theorem

[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]

[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]

[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]

Answer:

the answer is 10

Step-by-step explanation:

the other shape is half of all the degreed of the first one

Answer: 10

Step-by-step explanation:

AB:  3.0/2 = 1.5 = EF

BC:  5.0/2 = 2.5 = FG

CD:  4.0/2 = 2.0 = GH

DA:  8.0/2 = 4.0 = EH

1.5+2.5+2.0+4.0 = 10

Answer:

6 < x < 26

Step-by-step explanation:

let x be the third side, then

difference of 2 sides < x < sum of 2 sides , that is

16 - 10 < x < 16 + 10

6 < x < 26

Answer:

32 degrees

Step-by-step explanation:

If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value

Answer:

so the answer is f, the last one

Answer:

-32m-4mn+15n

Step-by-step explanation:

BODMAS means Bracket of Division Multiplication Addition Subtraction.

So any time you have lot of signs use BODMAS.

Thank you do you understand

Answer:

4

Step-by-step explanation:

(9 - 1) / (3 - 1) = 8/2 = 4

Answer:

4

Step-by-step explanation:

To find the slope using two points

m= (y2-y1)/(x2-x1)

   = (9-1)/(3-1)

   = 8/2

   = 4

Answer:

work is shown and pictured

Answer:

This shape is a rectangle so that means that the angles are 90°. From sum of angles of a triangle, x + 3x + 10 + 90 = 180 which means 4x + 100 = 180 → 4x = 80 → x = 20°.

Answer:4.

Step-by-step explanation:

Answer:

(B) (22.5, -12.5)

Step-by-step explanation:

When the point [tex](9,-5)[/tex] is dilated by with a scale factor of 2.5

In a dilation, when its scale factor is less than 1, the pre-image will be lesser than the image.

However, when the scale factor is greater than 1, the pre-image will be greater than the image.

The Image of the dilation of [tex](9,-5)[/tex] with a scale factor of 2.5 is therefore:

[tex](9*2.5,-5*2,5)\\=(22.5, -12.5)[/tex]

The correct option is B.

Answer:

-3

Step-by-step explanation:

[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]

Hope this helps!

Answer:

y = -8x - 5 ; function form is y = mx+b

Step-by-step explanation:

15 + 3y = -24x

3y + -24x - 15

y = -8x - 5

Answer:

Yes.

Step-by-step explanation:

Yes . This would be an isosceles triangle (2 angles being 9 units long.

The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).

The largest x value allowed is x = 11 because of the right-most point (11,100).

The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.

Answer:

=x -3

Step-by-step explanation:

f(x) = 3x-2

g(x) =2x+1

(f-g)(x) = 3x-2 -(2x+1)

Distribute the minus sign

           = 3x-2 -2x-1

Combine like terms

           =3x-2x-2-1

           =x -3

Answer:

irrational

Step-by-step explanation:

Answer:

It is an irrational number.

Step-by-step explanation:

Whole numbers are numbers that include all natural numbers, (1 - infinity), and 0. Integers are numbers that can be written without fractional components. Rational numbers are numbers that can be written in the form P/Q, where p and q are integers. There only leaves irrational numbers.

Answer:

-1

Step-by-step explanation:

4u-5v=23

-2(2u+4v=16) We multiply by -2 here to destroy u's.

4u-5v=23

-4u-8v=16 we addition both processes

-13v=39 so, v=-3

4u-5(-3)=23, 4u=8 so, u=2

u+v= -3+2= -1