In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.


Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.



- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?

- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?

- How far is Little Cubs Field from the radius of delivery?

Answers

Answer 1

The area to which Zippy's Pizza makes delivery is 16·π square miles

The responses are;

First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) miles

Reasons:

The radius of the area that Zippy delivers pizza = 4 miles

Direction in which Empire Street runs = East to west

Direction of the route 26 route = North to south

Location of Zippy's Pizza parlor = 3 miles south of Empire street

-First Part:

The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;

(x - h)²+ (y - k) = r²

Where:

(h, k) = The center of the circle which is the location of Zippy's Pizza

r = The radius of the circle

Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)

r = 4 miles

-Which gives;

(x - 0)² + (y - 0)² = 4²

The equation that represent the radius is; x² + y² = 4²

-Second part:

The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;

y = 3

Therefore, we have;

The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;

x² + 3² = 4²

x = √(4² - 3²) = ±√5

The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26

-Third Part:

Location of Little Cubs = 2 miles west and 4 miles north of Zippy's

The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5

The distance from Little Cubs Field to Zippy's = 2·√5 miles

-Fourth Part:

The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;

d = 2·√5 - 4 = 2·(√5 - 2)

Therefore, d = 2·(√5 - 2) miles

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Related Questions

PLS HELP ASAP !!

A boy has climbed 210m up a 350m vertical cliff, and is trapped there.
A rescue helicopter is hovering 65m above the top of the cliff.
Calculate how far a rescue must be lowered to reach the boy.
You may draw a sketch to help you.

(i'll mark as brainliest if u answer:))

Answers

Answer:

205

Step-by-step explanation:

helicopter=65m

tap of the cliff=

the boy=350m

210=

that makes the answer 205

Answer:

205 meters

Step-by-step explanation:

The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.

This means that the helicopter is 415 meters above the bottom of the cliff.

The boy is 210m above the bottom of the cliff.

So, you have to subtract 210 from 415 to get 205.

Therefore, you have to lower the rescue 205m to reach the boy.

6x + 2(5x-6) distributive property

Answers

Answer:

16x - 12

Step-by-step explanation:

6x + 2(5x - 6)

then 2 * 5 = 10x

then 2 * (-6) = -12

that will be 10x - 12

then you have 6x + 10x -12

combine the like terms which are 6x and 10x

then 16x - 12

The solution of the equation will be (16x - 12).

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

The expression is given as;

6x + 2(5x - 6)

Now,

Apply distributive property we can solve the equation as;

6x + 2(5x - 6)

6x + 2 × 5x - 2 × 6

6x + 10x - 12

16x - 12

Thus, The solution of the equation will be (16x - 12).

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Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.

A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.

Question 1
Part A

What is the unit rate of parts iron to parts carbon?

Enter the correct answer in the box.

parts iron per part carbo

Answers

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

a What is the slope of a line that passes through the points (1, 2) & (4, 12​

Answers

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

if there are 139,799,000 square miles of water on earth what percent is left on earth that is not covered in water

Answers

There are 196.1 million square miles on earth so subtracting 139.8 from that is 57.1 so 57.1 million square miles of earth is not covered with water

The percentage of earth that is not covered in water is given by the equation A = 29 %

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 total area of earth be = 196,900,000 square miles

And , 71% of Earth’s surface is covered in water

So ,

Percentage of earth's surface covered in water = 71 %

And , area of earth covered by water = 139,799,000 square miles

Substituting the values in the equation , we get

So , the remaining percentage of earth not covered in water A = 100 - 71

On simplifying the equation , we get

Remaining percentage of earth not covered in water A = 29 %

The remaining area of earth = 0.29 x 196,900,000

The remaining area of earth = 57,101,000 miles²

Therefore , the value of A is 29 %

Hence , the percentage is 29 %

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Helppppppppp pleaseeee

Answers

Step-by-step explanation:

the first one is:

2 so not th second one

Answer:

Step-by-step explanation: We can solve this in two ways:  Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.

Solve The Equations:

y = 2x+9

y = -x-3

Set them equal to each other (to find x such that both equations will return the same value for y).

-x-3 = 2x + 9

-3x = 12

x = -4

Use x=-4 in either equation to find y:

y = -x-3

y = -(-4)-3

y = 1

===

The point is (-4,1).  That is the point that satisfies both equations:

1)  y = 2x+9

    y = 2(-4)+9

   y = 1, and

2)  y = -x-3

    y = -(-4)-3

    y = 1

=====

We can also solve by graphing and finding the point at which the two lines intersect.  A graph is attached.

Answer correctly and get brainless and 20 points

Answers

Answer:

D. x = 12.4

Step-by-step explanation:

A. (2.4) - 5 = 7.4

-2.6 = 7.4

B. (6.9) - 5 = 7.4

1.9 = 7.4

C. (7.9) - 5 = 7.4

2.9 = 7.4

D. (12.4) - 5 = 7.4

7.4 = 7.4

Help pls it’s a bit tricky

Answers

[tex]2x-5y=10\\\\\implies 5y = 2x-10\\\\\implies y =\dfrac{2x-10}5 = \dfrac{2}5 (x-5) = \dfrac{2x}5 - 2[/tex]

Answer:

(D) [tex]y = - \frac{2x}{5} - 2[/tex]

Step-by-step explanation:

The problem consist in isolate the [tex]y[/tex] variable

The steps are below:

[tex]2x -5y = 10\\-5y = 10 - 2x\\y = \frac{10 - 2x}{5}[/tex]

Know the trick is in separate the fraction in two others as this example:

[tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]

So in our case we have:

[tex]y = -\frac{10}{5} - \frac{2x}{5}\\y = -2 -\frac{2x}{5}[/tex]

That correspond to D

In which diagram are angles 1 and 2 vertical angles?


Answers

Answer:

Step-by-step explanation:

can you upload diagram?

does anyone know how to view what answers you got correct on a post test for plato/ edmentum? please give detailed instructions

Answers

Answer:

Step-by-step explanation:

For Plato just press the + button to add an introduction or whatever.

Simplify the monomial (final answers should contain
positive exponents only.):
The side length of a cube can be represented by the
expression 2x. If the side length is doubled, write an
expression to represent the new volume of the cube.
[Hint: V=lwh, all sides are equal in a cube]

Answers

Answer:  64x^3

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

Work Shown:

old side length = 2x

new side length = 2*(old side length) = 2*2x = 4x

For any cube, the length, width and height are all the same. So L = W = H.

volume = L*W*H

volume = L*L*L

volume = L^3

volume = (4x)^3

volume = 4^3*x^3

volume = 64x^3

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100m, find its length and width.

Answers

Answer:

200points

[tex]x6)266(6( \times [/tex]

hatodf jahahshshshshfidba

identify the like terms of 3x, chose all the apply
3y
5x
3xy
-2x
3
7y
x

Answers

Answer:

5x, -2x, and x

Step-by-step explanation:

Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.

5x , -2x  , and x are like terms because they share the same variable, 'x'.

Hope this helps.

A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?

The jar contains ___nickels and ___ dimes.

Answers

ANSWER

10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

Maria and Ming start at the same point and drive in opposite directions. Maria drives 60 mph and Ming drives 48 mph. How far apart will they be in 3 hours?

Answers

Answer:

36

Step-by-step explanation:

60x3 = 180

48x3=144

subtract those 2wo numbers ( 180 and 144 ) and you'll get 36

Write an equation of a line
that passes through the
points
(-6,0) and (0,-24).

Answers

Answer:

y= -4x-24

Step-by-step explanation:

change in y/change in x = 0- -24/-6-0 = 24/-6 = -4

gradient is -4

then you put a set of coradinates into the formular y-y=m(x-x)

y - 0= -4 (x+6)

y-0=-4x-24

y=-4x-24

Answer:

  4x +y = -24

Step-by-step explanation:

The given points are the x- and y-intercepts. It is convenient to write the equation in intercept form:

  x/a +y/b = 1 . . . . . . x-intercept 'a', y-intercept 'b'

  x/-6 +y/-24 = 1 . . . . . equation in intercept form

  4x +y = -24 . . . . . . . equation in standard form (multiply by -24)

Which system of inequalities is shown?

a.y > x
y > 2

b. y > x
y < 2

c. y < x
y < 2

d. y < x
y > 2

Answers

Answer: Choice C

y < x

y < 2

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

Explanation:

The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)

Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)

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

At the same time, we're also shading below the line y = x to form the inequality y < x.

So that's how we end up with this system

[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]

which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.

Mr. Tanaka is loading his boat with many identical 45-pound boxes. Mr. Tanaka weighs 190 pounds. The boat can carry at most 1,000 pounds. If each box is fully-filled, how many boxes can he load on the boat?
Write an inequality that represents this situation.

Answers

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

52x+3 =
3x+2+4x-3-5x-1=
x-5x+4=

Answers

Answer:

x= -3/52

x= 2

x= -1

Step-by-step explanation:

number 1

52x+3=0

52x=-3

x=-3/52

number 2

2x+2+4x-3-5x-1=0

x-2=0

x=2

number 3

x-5x+4=0

4x+4=0

4x=-4

x=-1

What is the name of a bank account that allows you to access your funds in the bank?

Answers

Answer:

A checking account

Step-by-step explanation:

It's called a checking account

What is the perimeter of a regular decagon with sides of 14 inches?​

Answers

Answer:

140 inches

Step-by-step explanation:

one decagon has 10 sides

14*10= 140

Please answer! :(

Write YES if each equation below is Linear Equation in two variables, otherwise, NO.
___1. 4x - 2y = 1
___2. 6x² + 4y = 8
___3. m - 1n/2 = -8
___4. 1/y = 5
___5. 2x - 3y + 7 = 0
___6. 2a + 5 = 0

Please explain if possible, thank youu! :)​

Answers

Linear Equation in two variables?

1. 4x - 2y = 1   ⇒ Yes 2. 6x² + 4y = 8 ⇒ No, the variable x has degree 2, not linear 3. m - 1n/2 = -8 ⇒ Yes 4. 1/y = 5 ⇒ No, one variable 5. 2x - 3y + 7 = 0 ⇒ Yes 6. 2a + 5 = 0 ⇒ No, one variable

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.


a) 4/19

b) 4/17

c) 4/51

d) 32/51

Answers

Answer:

32/51

Step-by-step explanation:

What is the answer? I have looked and there is no question that is close to mine.

Answers

Answer:

Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).

In this case, x would be the c.

Substitute in values of a and b:

[tex]10^2+10^2=c^2[/tex]

[tex]c^2=200[/tex]

[tex]c=\sqrt{200}[/tex]

[tex]c=10\sqrt{2}[/tex] (Option A)

A youth group went on trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table. Find the adult price and student price of admission

Answers

Answer:

Refer to the attachment

A = Adult B = Student

Soo :

2a + 3b = 325

2a + 7b = 505 -

-4b = -180

4b = 180

b = 45

[tex] \: [/tex]

2a + 3b = 325

2a + 3(45) = 325

2a + 135 = 325

2a = 325 - 135

2a = 190

a = 95

Five players are given $10 each and asked to contribute any portion of it to a group account. They are also told that the total collection will be doubled and distributed equally among each of them. In this case, the players are likely to contribute __________.

Answers

Answer:

nothing

Step-by-step explanation:

Pls help me solve this

Answers

Answer:

F. Yes, by the SAS Congruence Theorem

Explanation:

In △ABC and △EDC:

BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)

Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.

△ABC ≅ △EDC

when identifying the rate lf change using a graph check ___ over __​

Answers

Heyy. “When identifying the rate of change using a graph, you check *Rise* over *Run*. This basically refers to the mathematical equation: Change In Y/Change In X.

Answer:  rise over run

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

Explanation:

The rate of change is the same as slope. Slope is often defined as the ratio of rise over run.

In other words, slope = rise/run.

For instance, a slope of 2/3 means we go up 2 and to the right 3 units.

Another example: slope = -1/5 means we go down 1 and to the right 5.

The term "rise" indicates a change in y. The run is the change in x. If the rise is positive, then you go up. Negative rise values mean that you go down. The run always moves to the right.

Please help I need to find the scale factor for the side lengths!!!

Answers

Answer:

The blue thing is 4 times smaller than the big thing.

Step-by-step explanation:

Answer:

  1/4

Step-by-step explanation:

The image/preimage scale factor can be found by considering the lengths of corresponding sides.

  Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4

The scale factor is 1/4.

How to convert minutes and seconds into grades.​

Answers

Answer:

Step-by-step explanation:

To convert time to time, kernel time with 24 (number of time in a day).

To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).

To convert s to seconds, multiply the time by 86400 (number of s in a day = 24 * 60 * 60).

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