If bill rides his bike 3 miles to Fred's house and then walks with Fred the remaining 1 mile to school, it will take him 30 minutes. But if he rides the entire distance, it will take him only 20 minutes. what is his walking and biking speed?

Answers

Answer 1

Final answer:

Bill's biking speed is 12 mph and his walking speed is 4 mph. We find the biking speed from the 20-minute ride distance and solve for the walking speed using the time difference in the 30-minute trip.

Explanation:

The student is asking about calculating walking and biking speeds based on different times to cover distances. To solve this, we'll use the information that Bill takes 30 minutes to ride 3 miles and then walk 1 mile, but only 20 minutes to ride the entire 4 miles to school.

First, we want to find the speed for each part of the trip when Bill takes 30 minutes. Since we know the total time and distances, we can set up two equations using the relationship speed = distance / time. Let's define biking speed as 'b' and walking speed as 'w'.

For the 30-minute trip:
3 miles / b + 1 mile / w = 0.5 hours

For the 20-minute, all biking trip:
4 miles / b = (1/3) hours

From the second equation, we find that b = 4 miles / (1/3 hour) = 12 mph. Substitute 'b' in the first equation:
3 miles / 12 mph + 1 mile / w = 0.5 hours
1/4 hour + 1 mile / w = 0.5 hours

To solve for 'w', we'll subtract the bike time from the total time:
1 mile / w = 0.5 hours - 1/4 hour
1 mile / w = 1/4 hour

So, the walking speed 'w' is 1 mile / (1/4 hour) = 4 mph.

Therefore, Bill's biking speed is 12 mph, and his walking speed is 4 mph.

Related Questions

Anne had 28 pens, but 23 of them ran out of ink. How many of Anne's pens still have ink?

___of Anne's pens still have ink.

Answers

5 of Anne’s pens still have ink. Since 23 of the 28 pens ran out, 5 pens are still good to write with.

Hope this helped!

1.) Four teachers bought an old boat for $60.
The first teacher paid one-half of the sum of the amounts paid by the other teachers.
The second teacher paid one-third of the sum of the amounts paid by the other teachers.
The third teacher paid one-fourth of the sum of the amounts paid by the other teachers.
How much did the fourth teacher pay?

2.) What is the smallest number of coins that you need so that you can give exact change for any amount from 1 cent to 99 cents?

Show your work please. Any improper answers will be reported and removed- thanks!
:) Have fun!

Answers

For problem number 1:-
1)Let's assume the payment which each one of them paid are A,B,C, and D, for the 1st, 2nd, 3rd and 4th respectively.
so the total payment is the sum of all of them
A+B+C+D= 60 ----->(eq 1)
The 1st paid 0.5 of the sum of the other teachers payments
A= 0.5 (B+C+D) ---->(eq 2)

The 2nd paid 1/3 of the others payment
[tex] B= \frac{A+C+D}{3}[/tex] ------>(eq 3)

The 3rd paid 1/4 of the others payment
[tex] C = \frac{A+B+D}{4} [/tex] ---->(eq 4)
we have now 4 equations in 4 unknowns.

From equation 1 and 2 :-
----------------------------------
By multiplying (eq 2) by 2 and substitute in (eq 1)
2 A = B+C+D (sub in eq 1)
A+ 2A =60
then 3A= 60
then A =$20 (The first teacher's payment)

From equations 1 and 3 :-
------------------------------------
By multiplying (eq 3) by 3
3B = A+C+D (sub in eq 1)
B+3B=60
4B=60
B= $15 (The second teacher's payment)

From equations 1 and 4:-
------------------------------------
By multiplying (eq 4) by 4
then 4 C=A+B+D (sub in eq 1)
4C+ C = 60
5C=60
C= $6 (The third teacher's payment)

By substituting the values of A,B and C in (eq 1).
20 + 15 + 6 + D=60
41+ D =60 (By subtracting both sides by 41)
D = $19.(The forth teacher's payment)

------------------------------------------------------------------------------------------------------------
2)unfortunately i don't your coins cuz im not american :D

a flyer on a reconnaissance flight has 4 hours for a round trip. his blade can fly 200 mph in still air. he flies out from his base against a 20 mph wind and immediately returns to his base, flying with the same wind. how many hours did he take for his fight out?

Answers

When flying with the wind, the effective plane speed is 200 + 20 = 220 mph.
When flying against the wind, the effective plane speed is 200 - 10 = 180 mph.

Let d = the distance (miles) from his base to the destination.
The time (hours) to travel with the wind is
t₁ = d/220
The time (hours) to travel against the wind is
t₂ = d/180

The total time taken is 4 hours, therefore
t₁ + t₂ = 4
d/220 + d/180 = 4
d(1/220 + 1/180) = 4
0.010101d = 4
d = 396 miles

Therefore
t₁ = 396/220 = 1.8 hours = 1 hour, 48 minutes (floght in)
t₂ = 396/180 = 2.2 hours = 2 hours, 12 minutes (flight out)

Answer: 2.2 hours

Can someone tell me if the answer is correct?

Answers

Your answer is not correct
3 / ((3√5) + 4)
3 x ((3√5) - 4) / ((3√5) + 4) x ((3√5) - 4)
((9√5) - 12) / (45 - 16)
((9√5) - 12) / 29 is the correct answer

The three sides of a triangle are in the ratio 2:3:5. If the longest side of the triangle is 45m, find the perimenter of the triangle

Answers

longest side = 45 m

5/10 = 45m
1/10 = 9m
10/10 = 90 m.

the perimeter is 90m

2:3:5
x:y:45

5 is multiplied by 9, so you multiply the other 2 numbers by 9 too.

x = 2×9 = 18
y = 3×9 = 27

What is the common ratio of the sequence. -2,6,-18,54

Answers

The common ratio of this sequence is -3. This is evident because the 6/-2 is -3, and we know it is a sequence so the rule consistently applies.

Answer: The required common ratio of the given geometric sequence is -3.

Step-by-step explanation: We are given to find the common ratio of the following geometric sequence :

-2, 6, -18, 54, . . .

We know that

if a(n) denotes the nth term of a geometric sequence, then the common ratio is given by

[tex]r=\dfrac{a_{n+1}}{a_{n}}.[/tex]

For the given sequence, we see that

[tex]\dfrac{a(2)}{a(1)}=\dfrac{6}{-2}=-3,\\\\\\\dfrac{a(3)}{a(2)}=\dfrac{-18}{6}=-3,\\\\\\\dfrac{a(4)}{a(3)}=\dfrac{54}{-18}=-3,\\\\\vdots[/tex]

Therefore, the common ratio is given by

r = -3.

Thus, the required common ratio of the given geometric sequence is -3.

The diameter of the circle above is 98 cm. What is the circumference of the circle?

Answers

C= 307.88 cm is the answer i hope this helps you

How would you solve for side a? Pythagorean theorem, cause if that's the case wouldn't
a=?
b=15
c=7
But we know that 2 sides of a triangle can't be greater than the third (or am I getting that rule wrong?)

Answers

The angle is 127°, so the Pythagorean theorem does not apply.

Generally, you would use the Law of Cosines to solve for the third side when given two sides and the angle between them.

EF^2 = 7^2 +15^2 -2*7*15*cos(127°)
EF ≈ √(400.3812) ≈ 20.00953

My guess is that you're expected to use 20 for the length of the 3rd side.

By Heron's formula, s = (7 +15 +20)/2 = 21

Area = √(21*(21 -7)*(21 -15)*(21 -20)) = √(21*14*6*1) = √1764 = 42 . . . . yd^2

_____
More directly,
.. Area = (1/2)*7*15*sin(127°) ≈ 41.928 . . . . yd^2

Team tool Bella gathered 15 pounds of wood in 1/3 of an hour. What was their speed in pounds per hour.

Answers

Team tool Bella gathered 15 pounds of wood in 1/3 of an hour.

1/3 of an hour is equal to 1/3 of 60 mins = 1/3 * 60 mins = 20 mins

We have to find their speed in pounds per hour( 60 mins).

Pounds of woods gathered in 1 hour or 60 mins = 15/20*60

= 15 * 3

= 45 pounds

Therefore, their speed in pounds per hour is 45 pounds / hour

Hope this helps ..!!

Thank you :)

The expression 146 ÷ 144 is equal to _____. 142 2 1410 1

Answers

1.01388888888888888888

The correct answer is 1.

To solve this problem, we need to evaluate the expression [tex]146 \div 144[/tex]and determine which of the given options it is equal to.

The calculation can be represented as:

[tex]146 \div 144 = \frac{146}{144}[/tex]

We can simplify this fraction by finding the common factor between the numerator and denominator and dividing both by that factor.

[tex]\frac{146}{144} = \frac{73 \times 2}{72 \times 2} = \frac{73}{72}[/tex]

Now, we can divide the numerator by the denominator to find the final value.

[tex]\frac{73}{72} = 1.0138\overline{8}[/tex]

Therefore, the expression [tex]146 \div 144[/tex] is approximately equal to 1.

Complete question:

The expression [tex]146 \div 144[/tex] is equal to _____.

A) [tex]142[/tex]

B) [tex]2[/tex]

C) [tex]14^{10}[/tex]

D) [tex]1[/tex]

Part 1.] In two or more complete sentences, describe the difference between an infinite series and a finite series.

Part 2.] In two or more complete sentences, explain why the following sequence is an example of a finite series.
2 + 4 + 8 + 16 + ... 256

Part 3.] In two or more complete sentences describe why the following series is an example of an infinite series.
1 + 2 + 3 + 4 + 5 + ...

Part 4.] The first picture

Part 5.] Express the series in summation notation.
2 + 4 + 6 + 8 + 10 + 12

Part 6.] Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $____

Part 7.] Find the sum picture

Answers

1) A series is called finite, if there is a finite number of factors that need to be added. If there are infinitely many factors (after any finite number of additions, there are still factors to add), then it is called infinite.
2) We have that this is the sup of powers of 2; but it does not take all powers of 2, only until the 8th power of 2. Hence, there are 8 summants, a finite number.
3) We have that this series involves all the natural numbers; "..." means that we should continue adding the next term, meaning that there is no end.
4) In order to find the first term of the series, we need to substitute n=1. Hence the first term is 1/(2*1+1)=1/3. Similarly, the next term is equal to 2/(2*2+1)=2/5
5) We notice that the first term is 2 and then that all the terms are 2 higher than their previous one. Hence we have that if we start summation from 1, we need to double it to get the term. This works for all and hence we have that the series is equal to: [tex]\sum_{n=1 \ n=6} 2n[/tex].
6) We have that after one, year, he gains 4%*2000, hence the final amount is 1.04*2000 after one year. Next year, this becomes the capital and we have to multiply again by 1.04. Hence, after 5 years, the total annuity value is: (1.04)^5*2000=2433$.
7) We have that the sum is 4+7+... up until 3*12+1=37. The sum of those is 246 or else we can have that it is equal to 3* n(n+1)/2+12 where n=12 (The sum of all numbers from 1 to n is given by n*(n+1)/2 )

Answer:for oddysey the answer to number 6 is 10833

Step-by-step explanation:

A company need to package hazardous chemicals in special plastic rectangular prism containers that had 80 cubic feet. Find the whole number dimensions of the container that would use the least amount of plastic.

Answers

we know that
the cube is a prism rectangular with minimum surface area
then
Volume cube=b³=80-------------> b=4.31 ft

the problem is asking me for a whole number

therefore
b=4 ft------------> I assume a rectangular prism of square base
V=b²*h--------------> h=V/b²=80/4²=5 ft

the answer is 4 ft x 4 ft x 5 ft number dimensions of the container

To package hazardous chemicals in special plastic containers the dimensions of the container should be 4 × 4 × 5 feet.

A rectangular prism with a volume of 80 cubic feet needs to be designed to use the least amount of plastic. To do this, we need to find the dimensions (length, width, height) that, while maintaining the given volume, result in the minimum surface area.

The volume of a rectangular prism is given by:

Volume = length × width × height

For our case: length × width × height = 80 cubic feet

To minimize the surface area, the dimensions should be close to a cube as this shape has the smallest surface area-to-volume ratio. We will seek integer dimensions. The formula for the surface area (SA) of a rectangular prism is:

SA = 2(length × width + width × height + height × length)

We start by considering potential combinations of whole numbers whose product is 80:

1 × 1 × 801 × 2 × 401 × 4 × 201 × 5 × 161 × 8 × 102 × 2 × 202 × 4 × 102 × 5 × 84 × 4 × 5

Calculating the surface area for each configuration:

1 × 1 × 80: SA = 2(1×1 + 1×80 + 80×1) = 2(1 + 80 + 80) = 322 sq. feet1 × 2 × 40: SA = 2(1×2 + 2×40 + 40×1) = 2(2 + 80 + 40) = 244 sq. feet1 × 4 × 20: SA = 2(1×4 + 4×20 + 20×1) = 2(4 + 80 + 20) = 208 sq. feet1 × 5 × 16: SA = 2(1×5 + 5×16 + 16×1) = 2(5 + 80 + 16) = 202 sq. feet1 × 8 × 10: SA = 2(1×8 + 8×10 + 10×1) = 2(8 + 80 + 10) = 196 sq. feet2 × 2 × 20: SA = 2(2×2 + 2×20 + 20×2) = 2(4 + 40 + 40) = 168 sq. feet2 × 4 × 10: SA = 2(2×4 + 4×10 + 10×2) = 2(8 + 40 + 20) = 136 sq. feet2 × 5 × 8: SA = 2(2×5 + 5×8 + 8×2) = 2(10 + 40 + 16) = 132 sq. feet4 × 4 × 5: SA = 2(4×4 + 4×5 + 5×4) = 2(16 + 20 + 20) = 112 sq. feet

Thus, the dimensions 4 × 4 × 5 feet are the ones that use the least amount of plastic, giving a surface area of 112 sq. feet.

Simplify: (8x4)(4x3)/7x2
A. 32x5/7
B. 1/28x
C. 1/3x
D. 7/9x4

Answers

The Answer is A:

Simplify the following:
(8×4 x^4 x^3)/(7 x^2)

Combine powers. (4 x^3×8 x^4)/(7 x^2) = (4 x^(4 + 3 - 2) 8)/7:
(4×8 x^(4 + 3 - 2))/7

4 + 3 - 2 = 5:
(4×8 x^5)/7

4×8 = 32:
Answer: (32 x^5)/7

Step-by-step explanation:

The answer is A: (32 × ^5)/7

Does the point ( 3 , 3 ) lie on the circle that is centered at the origin and contains the point (3, 0)? Why?
A) Yes, because ( 3 )2 + ( 3 )2 = 9
B) Yes, because you can create always create a circle through two given points. C) No, because ( 3 , 3 ) is less than 3 units away from the origin.
D) No, because ( 3 , 3 ) is greater than 3 units away from the origin.

Answers

D is correct. Look at the picture of the graph I made. The point (3,3) is in the upper right corner, not on the circle. This is because for a circle,
x²+y²=r² where r is the radius. If we have the point (3,0) then the equation of the circle says
[tex]3^2+0^2=r^2 \\ r=3[/tex]

Then for r=3 we can't get the point (3,3) because
[tex]3^2+3^2 \ \neq 3^2[/tex]

Answer:

Its actually C his whole explanation is wrong

Step-by-step explanation:

1. Real numbers that cannot represent as a quotient of two integers are ____ numbers.
2. The sum of a number and it’s ____ equals zero.
3. You can simplify an expression by combining it’s ____.
4. ____ is a numbers distance from zero on a number line.
5. when you make conclusions based on patterns you observe, you use ____.

Answers

1. Irrational
2. Additive inverse
3. Like terms
4. Absolute value
5. Inductive reasoning

help me....................

Answers

Hello there! I can help you! The first option is definitely a polynomial. It has a degree (3), a constant (value of y), and it looks like what a polynomial should. A is eliminated. B is also eliminated, because while there is no exponent, there is constand and a variable. It has a degree of 0, but it can still be called a polynomial. C has just a variable, but y is a polynomial term. It has no exponent shown, but it has no negative exponent. C is out. D is NOT a polynomial, because the squared root does not belong in a polynomial. There are no radicals or radicands allowed in a polynomial, so that expression is not a polynomial. The answer is D.

[tex]1,\frac{1}{8},\frac{1}{27},\frac{1}{64},...,\frac{1}{n^{3}},...[/tex]
The denominator of the seventh term is
A.] 125
B.] 216
C.] 343
D.] 513

Answers

Answer: option C) 343

Justification:

The sequence of the denominators is:

term         denominator

1               1 = 1^3
2               8 = 2^3
3               27 = 3^3
4               64 = 4^3

5               5^3 = 125
6               6^3 = 216
7               7^3 = 343

And that is the term searched. So, the answer is the option C) 343.

Answer:

the answer is C.] 343

help me please ASAP !!!!!

Answers

You want k such that
.. (10 +k)/2 = 7
Multiplying by 2, we have
.. 10 +k = 14
Then
.. k = 14 -10
.. k = 4

Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.

Answers

what's the question in this it just says stuff about Tim

helppppppppppppppppp

Answers

The answer is A :) 1/625

First we rewrite the expression:
(5 ^ -1) * (5 ^ -3)
Using properties of exponents we have:
(1/5) * (1 / (5 ^ 3))
Rewriting:
(1/5) * (1 / (125))
1/625
answer:
An equivalent expression is:
1/625
option 1

Factor by grouping m^2 +8mn -3mn-24n^2
20 POINTS

Answers

Group and factor the GCF, then combine (m+8n) (m-3n)

To factor this is expression, one simple way to do this is to place brackets surrounding each set of 2 terms. Do brackets around m^2 and 8mn and brackets around -3mn - 24n^2.

Then solve for the common factor in each bracket group.

m(m + 8n) - 3n(m + 8n)

(m-3n)(m + 8n) is the answer.

Answer Check!! Which domain restrictions apply to the rational expression.

Answers

You are correct.

x^2+2x-3 = 0
(x-1)(x+3) = 0
x-1=0 or x+3 = 0
x = 1 or x = -3
If x = 1 or x = -3, then the denominator is zero.
To avoid division by zero errors, we kick x = 1 and x = -3 out of the domain

Two consecutive integers have a sum of 45 . find the integers.

Answers

Let one number be x

one number = x
the other number = x + 1

The sum is 45
x + x + 1 = 45
2x + 1 = 45
2x = 45 - 1
2x = 44
x = 22

x = 22
x + 1 = 22 + 1 = 23

The two numbers are 22 and 23.

does the function y=4^-2x represent an exponential growth or decay? what is the percent rate of change?

Answers

Since it has a negative exponent, the equation [tex]y=4^-^2^x[/tex] is showing exponential decay. The graph will decrease.
In order to find the percent of change, we need to review our exponent properties. The product property tells us that when we raise a power to a power, we multiply the exponents. This means we can view our exponent of -2x as the product of two exponents, -2 and x. This would look like
[tex]y=(4^-^2)^x[/tex]. We know that negative number exponents tell us to "flip" sides of the fraction, so that tells us that 4⁻² = 1/4² = 1/16. We can then rewrite our equation as
[tex]y=(\frac{1}{16})^x[/tex]
Exponential decay is in the form y = a(1-b)ˣ. From our equation, a = 1. We know that 1-b = 1/16; this means that b must be 15/16. Thus our percent of decrease would be 15/16 = 0.9375 = 93.75%.

Final answer:

The function y=4^-2x represents exponential decay. The percent rate of change is 6.25%.

Explanation:

The function y=4-2x represents exponential decay. In an exponential decay function, as the value of x increases, the value of y decreases. On the other hand, in exponential growth, as the value of x increases, the value of y increases.

The percent rate of change can be found by determining the decay factor, which is equal to 1 divided by the base of the exponential function raised to the power of the exponent.

In this case, the decay factor would be 4-2 = 1/16. To find the percent rate of change, we can convert the decay factor to a percentage by multiplying it by 100%, so the percent rate of change would be 1/16 * 100% = 6.25%.

PLESSSSSS HELP WILL CROWN BRAINLIEST!!!! 20PTS!!!!!!!!!!!!

Answers

We presume you want to add the two vectors.

<5, -2> + <0, 0> = ((5+0), (-2+0)> = <5, -2>

Ravi is driving 440440 miles to visit his grandma. He drives at a rate of 5555 miles per hour. How many hours will it take him to get 3434 of the way there?

Answers

the correct question is
Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55 miles per hour, how many hours will it take him to get 3/4 of the way there?

we have that
3/4 of the way--------------> (3/4)*440=330 miles

I apply a rule of three
if 55 miles----------------> 1 hour
330 miles--------------> X
X=330/55=6 hour

the answer is 6 hour

4/5 are girls. Today 3/5 brought there lunch. What fraction of the students are girls who brought there lunch today?

Answers

4/5 * 3/5 =12/25 i think

Which of the following is equivalent to log7 50 rounded to three decimal places?

2.010
1.772
0.854
0.497

Answers

Log7 50 = [tex] \frac{log 50}{log 7} [/tex] = 2.01038 (Answer A)

Answer:

Option A - [tex]log_7 50=2.010[/tex]

Step-by-step explanation:

Given : The expression [tex]log_7 50[/tex]

To find : Which of the following is equivalent and rounded to three decimal places.

Solution :

We solve the given expression [tex]log_7 50[/tex] using calculator

We get, [tex]log_7 50=2.0103821378[/tex]

Rounded to three decimal places

[tex]log_7 50=2.010[/tex]

Therefore, Option A is correct.

The radius r of a circle can be written as a function of the area A with the following equation:

[tex]r= \frac{A}{ \pi } [/tex]

What is the domain of this function? Explain why it makes sense in this context.

Answers

The real formula of the radius is r = √(A/pi)

In this context, it makes sense as the radius cannot have a negative value.

Thus, the domain of the function is [0,∞)

This means that the Area can have any positive value starting from zero.

MATH HELP!!!
Dwight's gross semimonthly pay is $1220. To maintain his current lifestyle, how much should he save up by the time he retires?

$292800
$317200
$702720
$761280

Answers

Answer:

292,800

Step-by-step explanation:

1220*24 (24 is semimonthly)=29,280

Then you want to multiply by 10

29280*10=292,800

Dwight's save up by the time he retires will be 292800$

Dwight's gross semimonthly pay is $1220

What is the meaning of semimonthly?

semimonthly means two times per month

Semimonthly for per year is,

12(2)=24

Dwight's gross semimonthly pay is $1220.

1220*24 (24 is semimonthly)=29,280

For one year the amount will be 29280

Then you want to multiply by 10

29280*10=292,800

Therefore Dwight's save up by the time he retires will be 292800$.

To learn more about the saving visit:

https://brainly.com/question/25787382

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