if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard

Answer:

It would be 53

Step-by-step explanation:

because the tens place is over 5 so it rounds up

Answer:

235

Step-by-step explanation:

Figure the rates per hr.

110/3 = 36 2/3

160/5 = 32.

So, the rates are not the same.

Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.

In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).

We're given two pairs of values:

(3,110) and (5,160).

The next step is to fit a line to them.

y = mx+b is the general equation for a line.

m = the slope = rise/run = change in y / change in x

Call the change in y, dy (for delta y).

Call the change in x, dx (for delta x).

m = dy/dx = 50/2 = 25

The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.

We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.

y = 25x + 35

Checking this formula at x=3, we know it is 110.

Checking it at x=5, we obtain:

y = 25*5 + 35 = 125 + 35 = 160.

That checks.

Now to figure an 8-hr job, set x=8 and use the equation"

y = 25*8 + 35.

y = 200 + 35.

y = 235.

That means an 8-hr job costs $235.

Answer:

-625

Step-by-step explanation:

-1/5 x 5^5=-625

hope this helped stay safe!

Answer:

625

Step-by-step explanation:

First Step:

Solve [tex]5^{5}[/tex] =3,125

Then:

Multiply 3,125 by [tex]\frac{1}{5}[/tex]

Last:

Solve!

Answer: 625

Hope this helped :)

Answer:

A 256 units 3

Step-by-step explanation:

The volume of the cylinder given below is 256π units .

Given,

Radius of cylinder = 8 units

Height of cylinder = 4 units

Now,

Volume of cylinder is given by

V = π×r²×h

r = radius of base

h = height of cylinder

So,

Substitute the values in the formula,

V = π × 8² ×4

V = π × 64 × 4

V = 256π units .

Thus the volume of the cylinder is 256π units .

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Answer:

D

Step-by-step explanation:

They both equal 3.08

The decimal is moved one to the right on both so the answer will be the same

Answer:

D. 209.2 ÷ 68

I hope this helps!

Answer:

z= -3

Step-by-step explanation:

[tex]\frac{1}{2} z[/tex] = [tex]\frac{-3}{4} + \frac{1}{4} z[/tex]

[tex]\frac{1}{2} z - \frac{1}{4} z[/tex] = [tex]\frac{-3}{4}[/tex]

[tex]\frac{2z - z}{4} = \frac{-3}{4}[/tex]

[tex]\frac{z}{4} = \frac{-3}{4}[/tex]

4z = -3×4

4z = -12

[tex]\frac{4z}{4} = \frac{-12}{4}[/tex]

z = -3

Hope this helps!!!

The value of z in the equation (1/2)z = - 3/4 + (1/4)z is 3/2.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

given, (1/2)z = - 3/4 + (1/4)z and we have to find the value of z or solve for z.

∴ (1/2)z = - 3/4 + (1/4)z.

(1/2)z - (1/4)z = 3/4.

(1/2)z = 3/4.

z = (3/4)×(2/1).

z = 6/4.

z = 3/2.

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Answer:

47.61$

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

a + 2,500 < 32,000; a < 29,500

Step-by-step explanation:

This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.

As 2,500+ 29,500 = 32,000

The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.

Answer:

1. 8a

2. -13

Step-by-step explanation:

1. 2(5a − 4a) + 6a

= 10a - 8a + 6a

= 2a + 6a

= 8a

2. −2(x − 9) = 44

-2x + 18 = 44

-2x = 44 - 18

-2x = 26

x = 26/-2

x = -13

1) open the bracket

10a-8a+6a

2a+6a

8a

2) open the bracket

-2x+18=44. Remember - × - = +

Collect like terms

-2x=44-18

-2x=26

Divide both side by -2

x=-13

Answer:

SI = prt / 100

SI = (1000 x 3 x 6)/100

SI = 180

Amount = 1000 + 180 = 1180

Answer:

The volume of the cone is one third to the volume of the cylinder.

Step-by-step explanation:

It is because the formula of volume of cone is 1/3 to the volume of cylinder .

Volme of cone :

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

Volume of cylinder :

[tex]v = \pi {r}^{2} h[/tex]

Answer:

is 1 quart

Step-by-step explanation:

Answer:

1/2 quart

Step-by-step explanation:

Answer:

392.5 ft

Step-by-step explanation:

First, let's find the circumference of the track. This is 2 * 3.14 * 150 = 942 ft. 150° is 5 / 12 of 360° (the full circle) so that means that the minor arc it forms (which is also the arc the man ran) is 5/12 of the circumference. This means that the answer is 5/12 * 942 = 392.5 ft. Hope this helps!

Answer:

Step-by-step explanation:

length of the arc = angle/360 * 2 * pi * r

150/360 * 2 * 22/7 * 150

393 ft

Answer:

blank: 0.02

lettered: 0.98

vowel: 0.42

consonant: 0.56

Step-by-step explanation:

In the figure attached, the number of tiles of each letter are shown.

number of blank outcomes: 2

number of lettered outcomes: 98

number of vowel outcomes: 9 + 12 + 9 + 8 + 4 = 42

number of consonant outcomes: 98 - 42 = 56

Total number of outcomes: 100

Probability that first tile drawn is a blank tile: 2/100 = 0.02

Probability that first tile drawn is labeled with a letter: 98/100 = 0.98

Probability that first tile drawn is a  vowel: 42/100 = 0.42

Probability that first tile drawn is a consonant: 56/100 = 0.56

Answer:

5

Step-by-step explanation:

25/100*4=1= the increased price

so 4+1=5= the current price per pound

Answer: the answer is B

Step-by-step explanation:

Answer:

All rectangles are squares, All parallelograms are quadrilaterals,

Answer:

all squares are rhombuses, all parallelograms are quadrilaterals

Step-by-step explanation:

this is what is true

Answer:

yes

look at each one of the sides

the x row counts by 1

1 + 1 = 2,  2 + 1 = 3,   3 + 1 = 4

the y row counts by 2

3 + 2 = 5,   5 + 2 = 7,    7 + 2 = 9

( Hope this helps :D)

Answer:

Step-by-step explanation:

substitute a point value into the equation to find the missing number (the y-intercept)

you could either substitute (0,-4) or (1,2) into the equationn

y = 6x + b

-4 = 6(0) +b

-4 = 0+b

b = -4

or

y = 6x +b

2 = 6(1) + b

2= 6 +b

b= -4

Answer:

-4

Step-by-step explanation:

Y = mx+b is the slope intercept form of the equation

where m is the slope and b is the y intercept

The y intercept is where the line crosses the y axis

It is the value where x is zero

(0,-4)  the x value is zero so the y intercept is -4

Answer:

they are both right

Step-by-step explanation:

to the left is 10x value of number on the right

Answer:

i really want to help but i think it might be D

Step-by-step explanation:

Answer:

(1 , 7)

Step-by-step explanation:

(1 , 7)          (5 , 7)

(1 , 3)          (5 , 3)

Answer:

1/3

Step-by-step explanation:

F = 36

G = 4

We know that The area is multiplied by the scale factor squared

F * (SF) ^2 = G

36 (SF) ^2 = 4

Divide each side by 36

36/36 (SF) ^2 = 4/36

(SF) ^2 = 1/9

Take the square root of each side

sqrt((SF)^2) = sqrt(1/9)

SF = 1/3

The scale factor is 1/3

Answer:

the answer is D because a and b don't have a period to separate the choice of the answer

Answer:

60

Step-by-step explanation:

Answer:

206 miles

Step-by-step explanation:

People generally work 5x a week so.. (15000 / 52)

52 indicates the amount of weeks in a year.

In total, that is 288.4 miles a week. Now, we're assuming she doesn't work on the weekend so we divide 288.4 by 7. That is 41.2 miles a day. Now, you times 41.2 by 5 and your answer should be 206 miles a week.

Answer:

(3,6)

Step-by-step explanation:

2x-3y = -12

x+y=9. Solve for either y or x

-x. -x

y = -x + 9. Substitute this for the y

2x-3(-x+9)= -12

2x +3x-27 = -12. Add like terms

5x -27 = -12

+27. +27. Inverse operations

5x = 15

÷5. ÷5

x = 3

x + y = 9

3 + y = 9. Substitute 3 for x

-3. -3. Inverse operations

y = 6

Answer:

im not completely sure but i think its 56.55

sorry if its wrong:/

Step-by-step explanation:

Answer: 71

Step-by-step explanation:

Answer:

if this is the circle than its B. 67 degrees

Step-by-step explanation:

Answer:

40 more paintings in order to maximize sales making a total of 60 paintings

Step-by-step explanation:

Let x= no.of copies above 20

Total Sales(x) = (number of copies)(price per copy)

Sales (x)= (20 +x)(100 –x)

Open bracket

=1200-20x+100x-x^2

=1200+80x-x^2

Derivative of the sales

80-2x=0

80=2x

Divide both sides by 2

40=x

Because Sales(x)= –2, this is maximal by the second derivative test

The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.

The artist 60 copies should he make to maximize his sales

The artist can sell 20 copies at $100 each.

So, the total sales is:

Total =(20) * (100)

For each additional copy he makes, the value of each painting reduce by a dollar.

So, the total sales becomes

Total = (20 + x) * (100 - x)

Rewrite as:

[tex]y = (20 + x) * (100 - x)[/tex]

Expand

[tex]y = 2000 - 20x + 100x - x^2[/tex]

Evaluate the like terms

[tex]y = 2000 +80x - x^2[/tex]

Differentiate

[tex]y' = 80 - 2x[/tex]

Set to 0

[tex]80 - 2x = 0[/tex]

Collect like terms

[tex]- 2x = -80[/tex]

Divide both sides by -2

[tex]x = 40[/tex]

Recall that the initial copies is 20.

So, the new copies would be:

New = 20 + 40

New = 60

Hence, the artist 60 copies should he make to maximize his sales

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