Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot and the guard travels at 56 mph by car, how far from the prison will the convict be caught by the guard?

Answers

Answer 1
7 miles from the prison

Related Questions

A company rents out 16 food booths and 23 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $5 per dat. The fair lasts for d days, and all the booths are rented for the entire time. What is the simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

3785 + 259d

Step-by-step explanation:

cost of food booths = 16 * (100 + 9d) = 1600 + 144d

cost of game booths = 23 * (95 + 5d) = 2185 + 115d

total = 1600 + 2185 + 144d + 115d = 3785 + 259d

FUNCTION LOVERS?? Can u send a pic with all this pla

Answers

Answer:

uhhh

Step-by-step explanation:

Brandon is not smiling. He just left the
dentist's office, and he has 5 cavities! If
it takes the dentist 14 minutes to fill one
cavity, how long will it take to fill all 5 of
Brandon's cavities?

Answers

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

What is the value of p2 + r3 , when p=2 and r=3

Answers

Answer:

13

Step-by-step explanation:

(2)2 + (3)3 = 4 + 9 = 13

Answer: 31

Step-by-step explanation:

(4) 4 + (3) 3

P2 - 2 x 2

= 4

R3 - 3 x 3 x 3

= 27

27 + 4

= 31

Hope it helps!

A_______consists of an infinite number of points which form a flat surface that extends in all
directions forever.
A) Line
B) Plane
C) Point
D) Line segment

Answers

Answer:

that is the definition of a PLANE

Step-by-step explanation:

Item 6 A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters. Which equations could be used to determine the volume, V, of the prism? Select each correct answer. V = 12 × 5 V = 5 × 4 × 4 V = 8 × 4 × 5 V = 32 × 5

Answers

Answer:

I am 100% sure that the answer is 240.

Step-by-step explanation:

The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.

Since, the volume of the prism is given as the product of its length, width and sides.

For the given prism the volume can be obtained as,

V = 8 × 4 × 5

⇒ V = 160 m³

Hence, the correct equation is given as  V = 8 × 4 × 5.

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 6936 total votes, how many no votes were there?

Answers

Answer:

4046

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

PL EA S E H E L P M E! !

Answers

the answer is c ................

If the points are (-10, 3), (-2, 10) what is the slope?

Answers

Answer:

= 7/ 8

Step-by-step explanation:

We can find the slope using the slope formula

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

    = ( 10-3)/( -2 - -10)

    = ( 10-3)/( -2 +10)

    = 7/ 8

The population of an endangered squirrel is decreasing at a rate of 0.75% per year. There are currently
about 200,000 of these squirrels. This is represented by the equation, s = 200,000(0.9925" in which s is the
number of squirrels at any given point in time. How many squirrels will there be in 25, 50 and 100 years?

Answers

Answer:

There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]s(t)=s_o\cdot(1-r)^t[/tex]

Where:

s(t) is the actual value of the function at time t

so is the initial value of s at t=0

r is the decaying rate, expressed in decimal

The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:

[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]

[tex]s(t)=200,000\cdot(0.9925)^t[/tex]

Where s is the number of squirrels at any time t.

We are required to find the number of squirrels in:

t=25 years. Substitute in the formula:

[tex]s(25)=200,000\cdot(0.9925)^25[/tex]

Calculating:

[tex]s(25)\approx 165,689[/tex]

t=50 years. Substitute in the formula:

[tex]s(50)=200,000\cdot(0.9925)^50[/tex]

Calculating:

[tex]s(50)\approx 137,264[/tex]

t=100 years. Substitute in the formula:

[tex]s(100)=200,000\cdot(0.9925)^100[/tex]

Calculating:

[tex]s(100)\approx 94,207[/tex]

There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.

What is the absolute value of -3?
A. -3
B. 3

Answers

Answer:

B. 3

Step-by-step explanation:

[tex]|a|=\left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a<0\end{array}\right[/tex]

Examples:

[tex]|3|=3\ because\ 3\geq0\\\\|-10|=-(-10)=10\ because\ -10<-\\\\|0|=0\ because\ 0\geq0\\\\|-0.5|=-(-0.5)=0.5\ because\ -0.5<0\\\\|-1,000|=1,000\ because\ -1,000<0[/tex]

Your question:

[tex]|-3|=-(-3)=3\\\\|-3|=3[/tex]

HELP PLZZZZZ AS SOON AS POSSIBLE GEOMETRY WITH EXPLANATION

Answers

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Valerie deposits $1,900 in an account that
earns 3% interest, compounded quarterly.
How much is in the account after six years?

Answers

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

A is final amountP is principle amountr is raten is compound ratet is time (in years)

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Substitute [CIRF]:                    [tex]\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}[/tex](Parenthesis) Divide:              [tex]\displaystyle A = 1900(1 + 0.0075)^{4(6)}[/tex](Parenthesis) Add:                  [tex]\displaystyle A = 1900(1.0075)^{4(6)}[/tex](Exponents) Multiply:             [tex]\displaystyle A = 1900(1.0075)^{24}[/tex]Exponents:                             [tex]\displaystyle A = 1900(1.19641)[/tex]Multiply:                                  [tex]\displaystyle A = 2273.19[/tex]

What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?

Answers

Answer:

y = 3x + b

Step-by-step explanation:

The slope of y=mx+3 that passes through (-3,4) is found like this:

1. Substitute the y and x values in (4 = m*(-3) + 3).

2. Simplify by subtracting 3 from each side (1 = m*(-3)).

3. Simplify by dividing each side by -3 (-1/3 = m).

Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3.  The y-intercept can be anything and it will still be perpendicular.

Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 2/3, y-intercept: −5

Answers

So slope int. form is y=mx+b and m means the slope and B means the y intercept. So it would be y=2/3x-5

helppp!!
right answers only please!

Answers

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

16-2k=14. what is the value of k​

Answers

Answer:

k = 1

Step-by-step explanation:

16 - 2k = 14

- 16       - 16

    -2k = -2

     -2     -2

       k = 1

Subtract 16 on both sides. -2k = -2
Divide -2 on both sides. k = 1

PLZ HELP ME


6÷2(1+2)=?????

Answers

9

6/2x3

3x3

9

Hope I helped

How much is b3 + c=

if a = 9, b = 3, and c = 13
Help please

Answers

Is there 22 on there? This is what I got

What am I doing wrong (factoring by grouping)​

Answers

Answer:

it's correct

Step-by-step explanation:

if you multiply out what you got, it equls the original thing

EDIT:

oh right

s^2-9 is s+3 and s-3

You can still get S out of [tex]s^2[/tex] and [tex]2s[/tex] and you can still get 3 out of [tex]-9[/tex] and [tex]3[/tex]. The end result will be [tex]2s^3 + 3s^2-18s-27[/tex]

Write an equation of the line that passes through (0,5) and (4,5).

plssss

Answers

I believe it would be y=0x + 5

i’ll give u brainliest!!
what is the area of shape 1, 2 and 3

Answers

Answer:

Shape 1: 25.915

Shape 2: 102.85

Shape 3: 142

Step-by-step explanation:

For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.

Answer:

after u get ur answers, u add up all the numbers to get ur total

Step-by-step explanation:

please help me with this question!

Answers

Answer: 1.113
Explanation:

GIVING OUT BRAINLEST


WY is the perpendicular
bisector of XZ.


What is X= ?

Answers

Answer:

x = 8

Step-by-step explanation:

Since the statement is true, then XY and ZY are the same length. You can set them to equal each other.

[tex]XY = ZY[/tex]

[tex]2x + 3 = 3x - 5[/tex]

[tex]3 = x - 5[/tex]

[tex]8 = x[/tex]

[tex]x = 8[/tex]

Hope this helps!

Please help im stuck

Answers

The scale factor is 1.6

8. Over a period of 3 hours, the outside temperature changed an average of -2.25 Fahrenheit per hour. Which statement correctly describes the change in the temperature from the beginning to the end of the 3 hour period?


a. The temperature decreased by 0.75 degrees Fahrenheit.

a. The temperature decreased by 0.75 degrees Fahrenheit.


b. The temperature increased by 0.75 degrees Fahrenheit.

b. The temperature increased by 0.75 degrees Fahrenheit.


c. The temperature decreased by 6.75 degrees Fahrenheit.

c. The temperature decreased by 6.75 degrees Fahrenheit.


d. The temperature increased by 6.75 degrees Fahrenheit.

Answers

Answer:

c

Step-by-step explanation:

-2.25*3 = 6.75 decreased (since negative)

For which function does f decrease by 15% every time x increases by 1?

Select the correct choice.

Answers

Answer:

0.85x

wertyipjhgfdfghjkjxcvbnmuytredxcvbnko

[tex]f(x)=0.85^{x}[/tex] is the required function.

What is function ?

If in a mathematical statement, a set of inputs, i.e. set x having exactly one output (in set y) each, then this is called a function.

What is the required function ?

The function that decrease by 15% every time increases by 1 is,

[tex]f(x)=(1-0.15)^{x}[/tex]

Now, simplifying it, we get,

[tex]f(x)=0.85^{x}[/tex]

Hence, the required function is [tex]f(x)=0.85^{x}[/tex]

Learn more about function here :

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A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.

Which statements about the expression are true?

Select the three statements that are true.

The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

O The amount the customer paid, in dollars, for the chocolate in the bag is 11y.

The total weight of the bag of chocolate and almonds is 9x + 11y.

The total weight of the bag of chocolate and almonds is x + y.

The cost per pound of the chocolate is $11.

The cost per pound of the almonds is $11.

Answers

Answer:

*The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

*The total weight of the bag of chocolate and almonds is x + y.

*The cost per pound of the almonds is $11.

Step-by-step explanation:

A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.

From the above questions, we know that:

The weight of Chocolate = x pounds

The weight of Almonds = y pounds

The cost per Chocolate = $9

The cost per Almonds = $11

Therefore, the three statements that are true are:

* The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

* The total weight of the bag of chocolate and almonds is x + y.

*The cost per pound of the almonds is $11.

When adding decimals with the same sign you.....​

Answers

Answer:

keep the decemal in the same place? there's not really alot to go by on your question

Answer:

keep the same sign and add the value to each number

Step-by-step explanation:

Opposites
"Problem #1:
a. How would the frog hop to meet the following requirements?
• From 6, make one hop and land on 8.
• From 8, make one hop and land on the opposite of 8.
• From the opposite of 8, make one hop to land on the opposite of the
opposite of 8.
Answer:
How could you write the opposite of the opposite of 8" using math symbols?
Answer:

Answers

Answer:

opposite of 8 is -8 and the opposite of -8 is 8 :D

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