Orville was out bicycling with his brother Wilbur. Orville stopped to fix a flat tire. Wilbur continued at 10 mph. After 30 minutes, Orville had fixed the flat, and he rode off at 12 mph in pursuit of Wilbur. In how many hours did Orville catch up to Wilbur?

Answers

Answer 1

Answer:

Orville caught up with Wilbur in 2.5 hours

Step-by-step explanation:

Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur

Mathematically,

distance = speed * time

The distance traveled before Orville restarted his own journey is ;

distance = 10 mph * 0.5 = 5 miles

(30 minutes is 30/60= 0.5 hours)

So this means that Wilbur was now 5 miles ahead of Orville

Now, let the number of hours it took to

catch up Wilbur be h

In h hours,

Wilbur would have traveled 5 miles + 10h

In this same time, Orville would have traveled

12 * h = 12h

So the distance traveled by the two will be equal at this h hour

5 + 10h = 12h

12h-10h = 5

2h = 5

h = 5/2

h = 2.5 hours


Related Questions

4x² + 20 = 0 Solve for X

Answers

Step-by-step explanation:

4x^2 + 20 = 0

divide 4 throughout:

x^2 + 5 = 0

x^2 = -5

x = ±√-5

However, you can't square root a negative number as it is a complex number / imaginary number hence you would want to conclude it as "no solution"

Factor -4 out of -8d + 20.
The factored expression is

Answers

2d-5 divide all numbers by -4

explain what it means to solve a system of equations

Answers

Answer:

um hope this helps :D

Step-by-step explanation:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

A collection of two or more equations with the same set of unknowns is referred to as a system of equations. I

What is a system of equations?

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

If the lines intersect, we identify the point of intersection. This is the solution to the system. The solutions of a system of equations are the values of the variables that make all the equations true.

To know more about a system of equations follow

https://brainly.com/question/13729904

#SPJ2

help please please please please

Answers

Answer:

y-6=-6(x-1)

Step-by-step explanation:

Hope this helps :D

have a nice thanksgiving

Answer:

[tex]y-6=-6(x-1)[/tex]

Step-by-step explanation:

A point-slope equation requires two values in order to write it: one coordinate and the slope.

First, find the slope between the two given points. To find the slope, you would subtract the first Y from the second Y and the first X from the second X. Y goes on top of the fraction bar, making the equation look like this:

[tex]\frac{6-(-6)}{1-3}[/tex]

Then, simplify the slope equation:

[tex]\frac{6-(-6)}{1-3} = \frac{6+6}{1-3} = \frac{12}{-2} = -6[/tex]

The slope is -6.

Finally, choose one of the coordinates. For this, I'll pick (1, 6).

The point-slope equation is [tex]y-y_{1} =m(x-x_{1})[/tex]

So, simply fill in the [tex]m[/tex], [tex]y_{1}[/tex] , and [tex]x_{1}[/tex] spots with the value we have found.

[tex]m[/tex] is the slope, so replace it with -6.

[tex]y_{1}[/tex] = 6

[tex]x_{1}[/tex] = 1

Final answer:

[tex]y-6=-6(x-1)[/tex]

The area of a rectangular field is 5734 m^2.
If the length of the field is 94 m, what is its width?

Answers

Answer:

Step-by-step explanation:

Area of rectangle=length x width

Given area= 5734 m^2.

Length=94m

So 5734=94xwidth

width=5734/94=61m is the answer

will mark brainliest and extra points

Answers

Answer:

c = 5

Step-by-step explanation:

a²+b²=c²

(3)²+(4)²=c²

9+16=c²

25=c² square root on both sides

5=c

c=5

Plzzzzzzzz helpppppppppp plzzz like really fast

Answers

-4(4 + 2x) = 1/3 wx - 16
-16 - 8x + 16 = wx/3
3 (- 8x) = wx
-24x = wx
-24 = w

I hope this helps!

the tens digit is two less than the ones digit and sum of the digits is 8.

Answers

The answer is 35 !!!

Answer:

35

Step-by-step explanation:

3 3/10 ÷ 1 4/7?



erdtcfyvghb (random stuff, it claims my question is too short. ignore this part!)

Answers

Answer:

2 1/10 would be your answer

Answer:

The answer is 21/10 or 2.1

What is the missing step in this proof?
(image attached below)

Answers

C is the missing reason in this proof.
The missing proof is c

Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20

Answers

Answer:

D.

Step-by-step explanation:

The function f gives the temperature in degrees Celsius t hours after midnight.

Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).

For 1:00 AM, 1 hour after midnight, we will have f(1).

And for 12:00 PM (noon), we will have f(12).

We want to find the equation that represents the temperature at 1:30 PM.

1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.

Therefore, the correct statement would be:

f(13.5)=20.

Hence, our answer is D.

Notes:

A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.

Answer:

d

Step-by-step explanation:

Find the area .
Easy points

Answers

Answer:

570

Step-by-step explanation:

Area formula: 1/2bh

A: 38 x 30 = 1140

A: 1140 x 1/2 = 570

A: 570

Answer:

570

Step-by-step explanation:

Company A charges $3.25 per spirit banner. The equation C=2.45x represents the cost in dollars, C, for x spirit banners at Company B. How much more would it cost to purchase 80 spirit banners from the more expensive company?

Answers

Answer:

$64.00

Step-by-step explanation:

Company A:

C = 3.25x

3.25 x 80 = 260

Company B:

C = 2.45x

2.45 x 80 = 196

How much more?

260 - 196 = 64

Difference in Total price for 80 unit is $84

Given that;

Per spirit cost in company A = 3.5 per spirit

Cost equation for company B = C = 2.45x

Find:

Difference in Total price for 80 unit

Computation:

Difference in Total price for 80 unit = 80[3.5 - 2.45]

Difference in Total price for 80 unit = 80[1.05]

Difference in Total price for 80 unit = $84

Learn more:

https://brainly.com/question/6364615?referrer=searchResults

Find the difference between 15.89 and 8.036

Answers

Answer:

7.854

Step-by-step explanation:

Sketch a graph of the solutions to this situation,

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music. Take a picture and upload it.

Answers

Answer:

hey I was just wondering if u could help me with my

ine

Step-by-step explanation:

thank u



The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
18 cm
Calculate the total shaded area.
Take it to be 3.142 and write down all the digits given by your calculator.

Answers

Answer:

69.498

Step-by-step explanation:

first find the area of the whole square (how i saw it), remember

it is made up of a circle drawn inside a square.

so we do the area of the square = 18²

= 324

next we find the circle which was drawn, the circle covers up the

whole shaded square.

diameter would be 18 as the length of the square was 18,

then we find the radius, 18/2 = 9

now we use πr²,

r would be the radius  (9)

therefore it would be π(81) and we get 254.502

now we take away the area of the circle covering the square

from the area shaded in,

therefore  324 - 254.502

= 69.498

( 1st time ive posted an answer btw )

help me solve:

-2*(-10)/(-5)*2-28+(-9)

Answers

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

At 11 p.M., it was 48°F. The temperature was 6° cooler by 7 a.M. By 11 a.M. The temperature was 48°F again. What integer represents the number of degrees the temperature changed from 7 a.M. To 11 a.M.?

Answers

Answer:

6°F

Step-by-step explanation:

Given that:

Temperature at 11pm = 48°F

Temperature at 7am = 6° cooler

Temperature at 11am = 48°F

Number of degrees temperature changed from 7am to 11 am

Exact temperature at 7am = (temperature at 11 pm - 6°)

= 48°F - 6°F

= 42°F

Temperature change from 7am to 11am

Temperature at 11 am - temperature at 7am

48°F - 42°F

= 6°F

How do functions work? Could someone explain how to know which questions are functions or not

Answers

Answer:

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x  equals 2.

Step-by-step explanation:

here is a step by step equation:

f(x) = x + 7

if:

x=2

then:

f(2) = 2 + 7 = 9

A function is linear if it can be defined by

f(x) = mx + b

Makes sense? Hope I helped

plus I'm in middle school learning this also.

Find the area of this sector

Answers

Answer:

7π mm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{280}{360}[/tex] ( r is the radius )

   = π × 3² × [tex]\frac{28}{36}[/tex]

    = 9π × [tex]\frac{7}{9}[/tex] ( cancel the 9's )

    = π × 7

    = 7π mm²

Answer:

0.0146607657 rad m

Confused and need help please, step by step and exact location would be helpful

Answers

Answer:

This is it sorry about the last one

Step-by-step explanation:

ithink I posted the wrong one

suppose y varies directly with x, and y=25 when x=140. what is the value of y when x=36

Answers

Answer:

[tex]\displaystyle y=\frac{45}{7}[/tex]

Step-by-step explanation:

Direct Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

[tex]\displaystyle \frac{y}{x}=k[/tex]

Where k is a constant.

We know y=25 when x=140, and it's required to find the value of when x=36.

For any pair of values (x,y), their ratio is constant:

[tex]\displaystyle \frac{25}{140}=\frac{y}{36}[/tex]

Multiplying by 36:

[tex]\displaystyle y=36*\frac{25}{140}[/tex]

[tex]\displaystyle y=\frac{900}{140}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle y=\frac{45}{7}}[/tex]

what is the answer for this ?

Answers

Answer:

A

-2 < x ≤ 3 (All x values between -2 and 3; excluding -2 and including 3)

Step-by-step explanation:

I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))

Write the equation of the line when m = 4 and the point (3, 15) lies on the line.

Answers

Answer:

y=4x+3

Step-by-step explanation:

y=mx+b

15=4(3)+b

15=12+b

-12 -12

3=b

y=4x+3

Can someone please help me!

Answers

Answer:

7/6

Step-by-step explanation:

There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)

Answer:

6/7

Step-by-step explanation:

6 out of the 7 areas are shaded.

Have a good day!

It’s drag and drop please help

Answers

the first one is 4n+7=15, the second one is 1/4(n-15), the third one is 1/4n-15, the fourth one is n/7=4, and the last one is n4+7=15

Answer:

seven more than four times a number is fifteen -    4n+7=15

one-fourth the difference of a number and 15 -      1/4 (n-15)

one fourth a number decreased by 15 -      1-4 n - 15

the quotient of a number and seven is four -    n divided by 7 = 4

a number raised to the power of four increased by 7 is 15 -   n to the power of 4 - 7=15

Step-by-step explanation:

Plssss helpppp ASAPP
will mark BRAINLIEST!!!

Answers

Answer:

the last two

Step-by-step explanation:

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Answers

Answer:

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Step-by-step explanation:

Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?

Answers

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

Jessica rode her bike for 2 hours at the speed of 23 miles per hour. How far did she travel?

Answers

2 times 23
answer is 46
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