What are the minimum and maximum distances that Morgan’s dog may be from the house? (Algebra ll) *URGENT*

What Are The Minimum And Maximum Distances That Morgans Dog May Be From The House? (Algebra Ll) *URGENT*

Answers

Answer 1

Given:

The minimum and maximum distance that the dog may be from the house can be found by using the equation:

[tex]|x-500|=8[/tex]

To find:

The minimum and maximum distance that the dog may be from the house.

Solution:

We have,

[tex]|x-500|=8[/tex]

It can be written as:

[tex]x-500=\pm 8[/tex]

Adding 500 on both sides, we get

[tex]x=500\pm 8[/tex]

Now,

[tex]x=500+8[/tex] and [tex]x=500-8[/tex]

[tex]x=508[/tex] and [tex]x=492[/tex]

The minimum distance is 492 meters and the maximum distance is 508 meters.

Therefore, the correct option is C.


Related Questions

____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three​

Answers

278, 538 is the answer

Answer:

275 128

Step-by-step explanation:

You have to subtract 3455 from two hundred seventy eight thousand five hundred eighty three(278 583) so you will get the answer 275 128.

278 583-3455=275 128

I'm sure with this answer

to make sure you can add 3455 to 275 128 and you will get the answer as 278 583

What is the product of 3/5 and 25. Is the product more or less than 14? Explain your answer in complete sentences.
(3/5 is a fraction Not Disvison )

Answers

Answer:

15, The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

Step 1: Set up equation

[tex]\frac{25}{1}*\frac{3}{5}[/tex]

Step 2: Cross reduce

you can cross reduce 25 and 5 because they are both share a common divisor

[tex]\frac{5}{1} *\frac{3}{1}[/tex]

Step 3: Multiply numerator and denominator together

[tex]\frac{15}{1}[/tex]

Final Answer:

15

The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?

Answers

There is step to step calculation

Hope is helpful

Can someone help me with this math homework please!

Answers

Answer:

option 2option 1

Step-by-step explanation:

value of x must be any real number except 5

that is option 2.

value of y can be any real number

that is option 1.

Based on the property of function that is one input must have exactly one output.

the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.

Answer:

Step-by-step explanation:

Property: Each element in the input set should have one and only element in the output set.

1) Value of x can be  any real number except 5

2) Value of y can be  any real number except -2

18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate

Answers

Answer:

7/(6 + x) = 3/(6 - x)

Step-by-step explanation:

The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

Let x represent the rate of the canoe, we have;

7/(v + x) = 3/(v - x)

Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

7/(6 + x) = 3/(6 - x).


The diagram shows a cylinder of diameter 6 cm and height 20 cm what is the volume in cm3

Answers

Answer:

565.2cm³

Step-by-step explanation:

the radius= 6/2= 3 cm

the height= 20cm

the volume= 3.14× 3²×20

= 3.14×180= 565.2 cm³

Check the picture below.



A square has a perimeter of 36 cm.
What is the length of each side?

Answers

9 cm i hope this helps

Answer:

Step-by-step explanation:

The perimeter of a square has a formula P = s + s + s + s or just P = 4s where s is the length of a side. If this perimeter has a number value, we can plug it in and solve for the length of each side, like this:

36 = 4s so

s = 9 cm. And there you go!

Which ordered pair is the best estimate for the solution of the
system of equations?
y= -1/2x +4 and y=1/2x - 3

Answers

Answer:

Where are the ordered pairs?

Step-by-step explanation:

I NEED HELP FAST!!!!!
(05.03 MC) John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks: Which equation best models the relationship between x and y?
A. y= -5x+25
B. y= -25x+125
C. y= -25x+175
D. y= -5x+125

Answers

Answer:

think it is D

Step-by-step explanation:

look at the X axis and the number at the Y axis

The equation best models the relationship between x and y is y=-5x+125.

We have given that,

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.

We have to determine the equation best models the relationship between x and y.

What is the equation best models the relationship?

The three main ways to represent a relationship in math are using a table, a graph, or an equation.

The X-axis and the number at the Y-axis.

Therefore, The equation best models the relationship between x and y is y=-5x+125.

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(05.02)
For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation? (5 points)

−x − 2y = −4
3x + y = 12

−2y − 4
2y − 4
2y + 4
−2y + 4

Answers

Answer:

4th option

Step-by-step explanation:

From

- x - 2y = - 4 ( add x to both sides )

- 2y = x - 4 ( add 4 to both sides )

- 2y + 4 = x , so

Substitute x = - 2y + 4 into the second equation

Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?

Answers

Answer:

3

Step-by-step explanation:

Volume of sphere:

4/3 * pi * r^3

Surface Area of Sphere:

4 * pi * r^2

So if V = SA

4/3 * pi * r^3 = 4 * pi * r^2

4/3 * pi * r^3 = 4 * pi * r^2

1/3 * r^3 = r^2

1/3 * r = 1

r = 3

Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

V = (4/3)πR³

The surface area of the sphere is given by the formula,

Surface area = 4πR²

Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,

(4/3)πR³ = 4πR²

R³/3 = R²

R = 3

Hence, the radius of the ball is equal to 3 units.

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I need equation of the linear function represented by the table below in the slope intercept form

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Because the table.

Answer:

Step-by-step explanation:

y/2 = (x-1)/(2-1)

y/2 = x-1

y = 2x - 2

What is the length of a diagonal of a square with a side length of 6?
A. 3
B. V
C. 3.12
D. 6

Answers

8.5? i’m pretty sure
Assuming both the Adjacent and the Opposite side of the triangle is 6, you’ll need to square both the sides and add them.
Step 1. Square both known sides.
6^2+6^2
Step 2. Simplify.
36+36=72
Step 3. Square root your final answer to find the diagonal or hypotenuse.
Square root of 72 is 8.49.

Answer: 8.5 for the length of the diagonal.

-If one of the sides isn’t 6, repeat the steps above and plug in the different number

Please help!
Question:
Divide £40 in the ratio 3 : 7

Answers

Step-by-step explanation:

here's your answer hope it helps you

The year of Average 11, 15, 17, X+1, 19, X-2, 3 is 14. Find median.​

Answers

Answer:

median of given data is 18

The data given is 11, 15, 17, x + 1, 19, x – 2, 3 Read more on Sarthaks.com - https://www.sarthaks.com/975527/for-the-data-11-15-17-x-1-19-x-2-3-if-the-mean-is-14-find-the-value-of-x-also-find-the-mode-of-the-data

Write the recurring decimal 0.18 as a fraction in its lowest terms

Answers

Answer:

Hence, the answer is 2/11.

Step-by-step explanation:

Let's begin by setting x equal to our repeating fraction. x= 0.18181818.

As a reduced (simplified) positive proper fraction 9/50 As a percentage 18%.

.18 as a fraction in its lowest term is 9/50

9. Consider the line y = 4x+9. If a second line is perpendicular to this one, what is its slope? please show your work, i will mark brainliest!

Answers

Answer:

Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]

Step-by-step explanation:

If two are lines are perpendicular to each other,

the product of their slopes = - 1 .

That is ,

      [tex]m_ 1 \times m_2 = -1[/tex]

Slope of the given line :

[tex]m_ 1 = 4[/tex]

Hence slope of the line perpendicular to it :

                                                                [tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]

The slope of the line perpendicular to the equation y = 4x + 9 is m = -1/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = 4x + 9   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = 4

Now , the second line is perpendicular to the line A , the product of slopes of the lines will be -1

So , m₁ x m₂ = -1

4 x m₂ = -1

Divide by 4 on both sides of the equation , we get

m₂ = -1/4

Therefore the value of m₂ is -1/4

Hence , the slope of the line is m₂ = -1/4

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I need help
Please
I hate math

Answers

Hey
Here it is

We can do this exercise in two ways

1°) We can make an expression:

3 markers ———> 5,79$
13 markers ——> x $

So x = ( 13 x 5,79 )/ 3

2°) 3/5,79 = 13/x

So x = ( 13 x 5,79 )/ 3

Answer: C

If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?

Answers

Answer:

2

Step-by-step explanation:

a2 = a1×3

a3 = a2×3 = a1×3×3

=>

an = an-1 × 3 =

[tex]a1 \times {3}^{n - 1} [/tex]

a5 = 162 = a1×3⁴ = a1×81

a1 = 162/81 = 2

In the image m || n || p.



Given ∠10 = 2x + 70

∠7 = 5x – 20



Find m∠3.

Answers

Given:

In the given figure [tex]m\parallel n\parallel p[/tex].

[tex]m\angle 10=2x+70[/tex]

[tex]m\angle 7=5x-20[/tex]

To find:

The [tex]m\angle 3[/tex].

Solution:

If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.

[tex]m\angle 7=m\angle 10[/tex]          (Alternate exterior angle)

[tex]2x+70=5x-20[/tex]

[tex]70+20=5x-2x[/tex]

[tex]90=3x[/tex]

Divide both sides by 3.

[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]

[tex]30=x[/tex]

Now,

[tex]m\angle 3=m\angle 7[/tex]               (Corresponding angles)

[tex]m\angle 3=5x-20[/tex]

[tex]m\angle 3=5(30)-20[/tex]

[tex]m\angle 3=150-20[/tex]

[tex]m\angle 3=130[/tex]

Therefore, the measure of angle 3 is 130 degrees.

Which equation represents the graphed function?
O-3x + 2 = y
0 x+2=y
ox-3=y
O 2x - 3= y

Answers

Answer:

y = 3/2x -3

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is slope and b is the y-intercept

Here, we can see that the graph intercepts the y-axis at the point y = -3

So b = -3

To get m, we can substitute any other point values on the plot

We can select (2,0)

So we have;

y = mx -3

0 = 2m -3

2m = 3

m = 3/2

so;

y = 3/2x -3

You invest $4.000 in a savings account. The account pays 3% annual interest. How much money will be in the savings account after 9 years?

A) $4,938.29
B) $5,219.20
C) $5,124.33
D) $6,003.45​

Answers

Answer:

4000*0.03*9=1080

4000+1080=5080

umm but like thats not one of the answers sorry

Hope This Helps!!!

Step-by-step explanation:

4000*3% = 120

120*9= 1080

1080+4000=5080

A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter​

Answers

It is about 44cms for the perimeter.

Find the values of x and y.

Answers

Answer:

since y is across from 60 so

y=60

and on the bottom it is 15 so

x+3=15

x=12

Hope This Helps!!!

If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the​ wind, find the speed of the wind and the speed of the plane in still air.​

Answers

Answer:

Below.

Step-by-step explanation:

Ok so, Since its 510 - x = 410. Speeds equals the wind.

SO?

100=2x

x=50

410+50 = 460!

Kala’s family is shopping for a large screen TV. The TV they decided on has a retail price of $1,000 at four stores. The state sales tax is 5%. Each store is offering a different sales promotion, as listed in the table.

Store
Promotional Offer
A
$80 rebate
B
10% discount on price
C
Store pays all sales tax
D
$40 rebate with store paying half of sales tax


Which store has the best deal?
store A
store B
store C
store D

Answers

Answer:

B-10% discount on price

Step-by-step explanation:

A - $1050 - 80 = $970

B - $900 + $45 = $945

C - $1000

D - $1025 - $985

Answer:

store b

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLY


If y varies directly with x and
y = 56 when x = 8, find y if x = 4.
First, find the direct variation equation.
y = [ ? ]x

Answers

Answer:

y = 7x and y = 28

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 56 when x = 8 , then

56 = 8k ( divide both sides by 8 )

7 = k

y = 7x ← equation of variation

When x = 4

y = 7 × 4 = 28

What is -2y + -4y. Simplify the answer.

Answers

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Answer:

[tex]-2y+\left(-4\right)y[/tex][tex]=-2y-4y[/tex][tex]=-6y[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must have the same number of men and women

Answers

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

[tex]The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways[/tex]

Therefore, the number of ways is 26,400 ways

what is the formula for finding the length of a line on the cartesian plane.​

Answers

Answer:

Step-by-step explanation:

distance =  square root [ [tex](x2-x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex] ]

where you have two points on the line

Point 1 = P1 = (x1,y1)

point 2 = P1 =(x2,y2)

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