Andy is 6.25 miles north of the center of town. william is at the center of town. at noon they both start walking north.
andy walks at a constant rate of 7.5 miles in 3 hours. william walks at a constant rate of 15 miles in 4 hours.
how many hours does it take william to catch up with andy?

Answers

Answer 1

Answer: 5 hours

Step-by-step explanation:

[tex]speed=\frac{distance}{time}[/tex]

Andy speed = 7.5/3 = 2.5 mph

William speed = 15/4 = 3.75 mph

1. Write an equation that represents the question

let h = # of hours it takes William to catch up with andy

   2.5h + 6.25 = 3.75h

2. subtract 2.5h from both sides

   6.25 = 1.25h

3. Divide 1.25 from both sides

   [tex]\frac{1.25h}{1.25} =\frac{6.25}{1.25}[/tex]

   h = 5

Therefore, we know it will take 5 hours for William to catch up with andy.


Related Questions

fill in the missing values in the table

minutes miles
10. 2
8
10

Answers

40 mins 8 miles
50 mins 10 miles

Find the distance between the two points on the graph

Answers

Answer: The side highlighted is 6.3 units long

Step-by-step explanation:

You can use Pythagorean therum to solve this problem

a² + b² = c²

We already know the length of two of the sides, a and b. So we will replace those variables with the given values

2² + 6² = c²

And now we solve

2² + 6² = c²

4 + 36 = c²

c² = 40

√40 = 6.3

What is the greater rate, 22 miles in 20 minutes or 38 miles in 20 minutes? Show your work.

Answers

Answer:

the greater rate would be 38 miles in 20 minutes

Step-by-step explanation:

This is because when going 38 miles per 20 minutes, you are going 10 miles faster than 22 miles per 20 minutes

The surface area of this cube is 54 square millimeters. What is the volume?

Answers

Answer:

27

Step-by-step explanation:

One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.

3x3x3 = 27

3^5*2^-6 please answer fast

Answers

[tex]3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}[/tex]

What value(s) of x will make x2 = 9 true?
.............................................................................

A. 81 and -81
B. V3
C. 3 and -3
D. 3


Thank you to anyone who answers !! :-)​

Answers

Answer:

C.) 3 and -3

Step-by-step explanation:

The question is asking: "Which numbers can be multiplied by themselves and equal 9?" You can formally find this answer by taking the square root of 9, the opposite of squaring a number. Or, in this case, you can try the guess-and-check method. Remember, multiplying two negative numbers together results in a positive answer.

A.) is incorrect because 81 x 81 = 6561 and -81 x -81 = 6561.

B.) I'm assuming this answer is [tex]\sqrt{3}[/tex] (if it's not, there is still a better answer). This answer is incorrect because [tex]\sqrt{3}[/tex] x [tex]\sqrt{3}[/tex] = 3.

C.) is correct because 3 x 3 = 9 and -3 x -3 = 9.

D.) is incorrect because -3² also equals 9.

help help help help help help

Answers

Answer:

B) d=4t

Step-by-step explanation:

let's look at two points

1. t=0, d = 0

2. t = 1, d = 4

slope = change in vertical axis (d)/ change in horizontal axis (t)

change in d = 4 = d₂-d₁

change in t = 1 = t₂-t₁

slope = 4/1 = 4

vertical variable = slope * horizontal variable + horizontal axis intercept

d = 4 * t + horizontal axis intercept

horizontal axis intercept is the vertical axis variable (d) when the horizontal axis variable (t) is at 0. at t=0, d=0

thus, d = 4 * t + 0

d = 4t (B)

If MK = 9ft find the length of MKL to the nearest tenth

Answers

Check the picture below.

we know the diameter MK is 9 units, so the radius must be half that, or 4.5.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4.5\\ \theta =218 \end{cases}\implies \begin{array}{llll} s=\cfrac{(218)\pi (4.5)}{180}\implies s=5.45\pi \\\\\\ s\approx 17.1 \end{array}[/tex]

plssss i need helpp again​

Answers

Answer:

4〉

Shoe box is an example of rectangular prism.

5〉

Classroom ↬

6〉

Book ↬ cm²

7〉

Matchbox ↬ mm²

8〉

8 cm³ = 0.000008 or 8 × 10

9〉

28 m³ = 28000000 cm³ or 2.8 × 10⁷ cm³

10〉

95 cm³ = 0.095 L

What value of x makes this equation true?

6x=3x+18

Answers

Answer:

x= 6

Step-by-step explanation:

To find the value of x that makes the equation true, first shift all the x terms to one side of the equation.

6x -3x= 18

Simplify:

3x= 18

Divide both sides by 3:

x= 18 ÷3

x= 6

              [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What value of x makes the equation [tex]\large\textit{6x=3x+18}[/tex] true?

         

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   [tex]\dagger[/tex] When solving an equation, we need to make sure that variables are on one side of the equation, which is usually the left-hand side,  and numbers are on the other side, which is usually the right-hand side, of the equation.

[tex]\bigstar[/tex] Since we have variables on the right-hand side as well as the left-hand side, we need to move all of them to the left-hand side, with the opposite operation:-

[tex]\sf{6x-3x=18}[/tex]                Subtract 6x-3x:-

[tex]\sf{3x=18}[/tex]                 Now, divide by 3 on both sides:-

[tex]\boxed{\boxed{\sf{x=6}}}\checkmark[/tex]

We've found the value of x, but we also need to make sure our solution is correct.

         We can do that by substituting 6 for x (into the original equation)

       and seeing whether or not we have a true statement:-

        [tex]\implies\sf{6(6)=3(6)+18}[/tex]

       [tex]\implies\sf{36=18+18}[/tex]

      [tex]\implies\sf{36=36}[/tex]

     [tex]\bigstar[/tex] Since the LHS equals the RHS, our solution (x=6) is correct.

Good luck with your studies.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

answer as soon as u can i need this

Answers

Answer:

 25.12 cm.

Step-by-step explanation:

you take pie times the diameter (4)cm and times them together.

Answer:

4π cm

Step-by-step explanation:

Circumference of circle

d = 4 cm

Circumference = πd

                         = π*4

                         = 4π cm

Lamar pays 15.60 for a pack of 6 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.

Answers

Divide total price by quantity:


15.60 / 6 = 2.60

Unit price = $2.60

SOLVE MATH TO GET 100+ PTS

Answers

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

learn more on linear equation here: https://brainly.com/question/11897796

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Answer:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

learn more on linear equation here: brainly.com/question/11897796

#SPJ1

Shelly buys some pies that cost $5.35 each and a cake that costs $17.50. Which expression can be used to find the total cost of a pies and the cake? NEED HELP QUICK​

Answers

Answer:

22.95 (Addition)

Step-by-step explanation:

Add the numbers

Add $5.35 + $17.50

Answer = 22.95

How did we get it? ( Added the numbers)

Have a good day :D

8x-3y times 5x5y over 10x6y2

Answers

Answer:

8x-5/4

Step-by-step explanation:

Cancel 5y x 5y/10 x 6y²=5/12y

8x-3y 5/12y

apply fraction rule a× b/c = a×b

____

c

8x-3y⁵/12y

8x-3y×5/12y

8x-3×5/12y

8x-3×5/12

=8x-5/4

what is x in 2x − 3 + 4x = 21

Answers

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

x = 4

So first to rearrange the question so like terms are together

2x + 4x = 21 - 3

Then simplify

6x = 18

Then divide 6 to both sides to find x

X=3

Hope this helps!

50/13 rounded to the nearest tenth

Answers

Answer:

50/13= 3.846153846

nearest tenth anwer is easily 3.8

Given the two rectangles below. Find the area of the shaded region.
7
2
4
2

Answer:
\text{ units}^2 units
2

Answers

Answer:

52 units²

Step-by-step explanation:

A = L × W

Area = Length × Width

First find the total area: 44

Half that to find the total left side that is shaded: 22

Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.

- Educator

Please someone help me with my question

Answers

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

need help will give brainliest i am timed answer in 20 minutes
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

3
6
112
121

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.

Answers

Answer:

121

.

The axis of symmetry is the line x= 6

The parabola opens downwards.

The value of h when the equation is in vertex form is positive.

Step-by-step explanation:

In the pictures.

Hope it helps! :)

(2-i)-(4-6i)(-3+3i) simplify

Answers

Answer:

9 - 10i

Step-by-step explanation:

2 + 4 =

6

- 3(when added) =

3

6 + 3 =

9

i + 6i =

7i

7i + 3i =

10i

Answer:

10i

Step-by-step explanation:

i think im wrong but i hope u get the right answer

Which polynomial lists the powers in descending order?
O A. 45+34-2-22+1
O
B. 3A-2+45-22+1
O C.1-22-2+45+34
© D. 4x5-22-2+3/+1

Answers

Answer:

D i believe

Step-by-step explanation: hoped this helps

which equation represents a linear function 2ry+y= 9 , y=12r-5 , 3y+r2+t=0, 4r+2(y-1)=0

Answers

The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

What is linear function?

Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.

The linear function with dependent variable y and independent variable x can be written as,

y=mx+c

Here, m is the slope of the line represented by the function and c is the y intercept.

The equation given in the problem are,

2ry+y= 9

y=12r-5

3y+r2+t=0

4r+2(y-1)=0

The second option is similar to the standard linear function.

Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

Learn more about the linear function here;

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examples of irrational numbers that result into rational numbers when squared​

Answers

[tex] \orange{\boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \blue{{deenz \red{l}}}}}}}}}}}}}[/tex]

thanks

please answer
Which of the following describe financial literacy? Select all that apply.

knowledge of how money works
how much of something is available
money earned
knowledge of how to manage your own money

Answers

The correct statements about financial literacy from the given options are as follows:

Financial literacy is the knowledge about money and what you do with money.Financial literacy includes information about income, banking, loans, career, credit, and consumer rights.One reason to become financially literate is to save you money.One reason to become financially literate is to help you make smart financial decisions.

The only option that isn’t included is: One reason to become financially literate is to make you rich.  Though knowledge about financial literacy can help you in managing your finances, you would need great amount of knowledge about other fields to be able to become rich - not just financial literacy.

Is the mean most useful when there is an outlier?

Answers

Answer:

The median is more useful because the mean, which his the average can be affected by a large or small outlier.

Step-by-step explanation:

What is the surface area (in square meters) of a box with length of 3 m, width of 4 m and a height of 2 m? Round to the nearest whole number.

Answers

Answer:

C) 52

Step-by-step explanation:

=  2x 4x  3x  2x  3x  2x  4

Hope this helps!

Drag values to complete each equation.
y5y3−(y−2)4
=
(y−2)4+y3y5

Answers

For the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

What is integer exponent?

Exponents that should be integers are known as integer exponents in mathematics. It could be either a positive or negative integer. The positive integer exponents specify how many times the base number should be multiplied by itself in this case.

We have:

[tex]=\rm y^5y^3-(y^{-2})^4[/tex]

[tex]= \rm y^{5+3}-(y^{-2\times4})[/tex]

[tex]= \rm y^{8}-(y^{-8})[/tex]

[tex]= \rm y^{8}-\dfrac{1}{y^{8}}[/tex]

[tex]\rm y^5y^3-(y^{-2})^4 = y^{8}-\dfrac{1}{y^{8}}[/tex]

Similarly,

[tex]\rm (y^{-2})^4 + \dfrac{y^3}{y^{5}} = \rm \dfrac{1}{y^{8}} + \dfrac{1}{y^{2}}[/tex]

Thus, for the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

Learn more about the integer exponent here:

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What is the value of [(2/3)^0]^-3

Answers

Answer:

1

(2/3)^0=1

(1)^‐³

(1/1)³

1

Is (2, 2) a solution of the inequality y ≤ 3x - 5?
O (2,2) is not a solution.
O (2, 2) would be a solution if the inequality was y < 3x - 5.
• (2, 2) is a solution.
•There is not enough given information to determine this.

Answers

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Is (2,2) a solution of the inequality y≤3x-5?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Simply write the y-coordinate in lieu of y and write the x-coordinate in lieu of x:-

2≤3(2)-5

Multiply:-

2≤6-5

2≤1

2 is less than 1, but it's not equal to 1.

So the right option is:-

[tex]\bigcirc\!\!\!\!\!\bigstar[/tex] (2,2) would be a solution if the inequality was y<3x-5

Good luck.

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

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