A tourist calculated that if he walks to the railroad station with a speed of 4 mph, he’ll miss the train by half an hour, but if he walks with a speed of 5 mph, he’ll reach the station 6 minutes before the departure of the train. What distance does the tourist have to cover?

Answers

Answer 1

Answer: 12 miles

Step-by-step explanation:

speed

=

distance

/time

The tourist says that if his speed is  4  mph

, then he will be 30 minutes late (which is 0.5 hours). This means that he will travel  d  miles in  t+0.5  hours.

4=d/t+0.5

The tourist also says that if his speed is  5  

mph, then he will be 6 minutes early (which is 0.1 hours). This means that he will travel d  miles in  t

0.1  hours.

5=d/t−0.1

Multiply by the denominator to get 4t+2=d, and 5t-0.5=t.

We know that the two equations are equivalent, so

4t+2=5t-0.5

Simplify

t=2.5

Plug it in to the distance formula

4t+2=d

d=12

The tourist covers 12 miles.

Give Branliest if this helped!

Answer 2

Answer:

12 cause rssm

Step-by-step explanation:

i do rsm and it worked


Related Questions

PLEASE HELP ME WITH THIS 17 points!! PLEASEEEE IM BEGGING YOU!!!

Answers

Answer:

x = 2

Step-by-step explanation:

Step 1: Convert to math

5x + 1 = 3x + 5

Step 2: Solve for x

Subtract 4x on both sides: 2x + 1 = 5Subtract 1 on both sides: 2x = 4Divide both sides by 2: x = 2

Step 3: Check

Plug in x to verify it's a solution.

5(2) + 1 = 3(2) + 5

10 + 1 = 6 + 5

11 = 11

Answer:

2

Step-by-step explanation:

there are 5 x's and 1 positive one of the left side, and 3 x's and five positive one's on the right side. when you put this into an equation, you get:

5x+1 = 3x+5

the first step to solving the equation is to subtract 3x from both sides:

5x+1 -3x = 3x+5 -3x

2x+1 = 5

next, subtract 1 from both sides:

2x+1 -1 = 5 -1

2x=4

finally, divide both sides by 2:

2x ÷2 = 4 ÷2

x=2

and the answer is: 2

help me with this please​

Answers

Answer: D. 3 x 10^7

Step-by-step explanation: 9.6/3.2=3 and 10^9/10^2 is 9-2=7, so 10^7, so it would be 3 x 10^7.

The answer is the last one because 9.6 divided by 3.2 is three and then the exponents subtract from one another is 7 so it’s the last one. Good luck!

Question
Enter a recursive rule and an explicit rule for the arithmetic sequence. Then, find the 20th term of the
sequence
55, 65, 75, 85,-
The recursive rule is f(1) =
f(n)=f(?
+
The explicit rule is f(n) =
+
?
f(20) =

Answers

Answer:

The recursive rule is [tex]f(1)[/tex] = first term;  [tex]f_({n})[/tex] = [tex]f_({n-1})[/tex] + d

f(1) = 55;  [tex]f_{20}[/tex] = [tex]f_{19}[/tex]  + 10

The explicit rule is f(n) = f(1) + (n - 1)d

f(20) = 245

Step-by-step explanation:

The recursive rule of the arithmetic sequence is

[tex]a_{1}[/tex] = first term;   [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex]  + d

Where:

[tex]a_{1}[/tex] is the first term in the sequence [tex]a_{n}[/tex] is the nth term in the sequence  [tex]a_{n-1}[/tex] is the term before the nth term  n is term number d is the common difference.

The explicit rule of the arithmetic sequence is

[tex]a_{n}=a_{1}+(n-1)d[/tex]

where:

[tex]a_{1}[/tex] is  the first term in the sequence [tex]a_{n}[/tex] is the nth term in the sequence  n is term number d is the common difference

∵ The first 4 terms of the sequence are 55, 65, 75, 85

∴ [tex]a_{1}[/tex] = 55

∵ d = 65 - 55

∴ d = 10

∵ We need to find the 20th term

∴ n = 20

∵ The recursive rule is [tex]f(1)[/tex] = first term;  [tex]f_({n})[/tex] = [tex]f_({n-1})[/tex] + d

→ Substitute the values of [tex]a_{1}[/tex], n, and d in recursive rule

∴ f(1) = 55;  [tex]f_{20}[/tex] = [tex]f_{19}[/tex]  + 10

∵ The explicit rule is f(n) = f(1) + (n - 1)d

→ Substitute the values of n and d to find it

∴ f(20) = 55 + 19(10) = 245

∴ f(20) = 245

The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.

Entrance A, 15,682 cans

Entrance B, 18,940 cans

Entrance C, 16,114 cans

Entrance D, 12,468 cans

Did they collect more or fewer cans than desired? How many more or fewer?

A.

13,204 more

B.

3,204 more

C.

13,204 fewer

D.

3,204 fewer

Answers

The answer is A: 13,204 more

If you take all those and add it together and subtract it, it comes out to 13,204.

Conjugate of complex number i^3 – 4 is
(a)i^3 + 4
(b) 4 – i
(c) -4+i
(d) -4 – i

Answers

Answer:

(c) -4+i is conjugate of complex number i^3 – 4 is

Step-by-step explanation:

-4+i^3

=-4+(i^2)i

=-4+(-1)i

=-4-i

Conjugate of x+iy= x-iy

So, conjugate of -4-i= -4+i

Hope it helps :-)

The conjugate of a complex number is a complex number with the same real part, but a negated imaginary part. The conjugate of [tex]i^3 - 4[/tex] is [tex]-4 + i[/tex]

Let the complex number be N. So:

[tex]N = i^3 - 4[/tex]

In complex numbers,

[tex]i = \sqrt{-1}[/tex]

Take cube of both sides

[tex]i^3 = (\sqrt{-1})^3[/tex]

Split

[tex]i^3 = (\sqrt{-1}) \times (\sqrt{-1}) \times (\sqrt{-1})[/tex]

[tex]i^3 = -1 \times (\sqrt{-1})[/tex]

Substitute [tex]i = \sqrt{-1}[/tex]

[tex]i^3 = -1 \times i[/tex]

[tex]i^3 = -i[/tex]

So, we have:

[tex]N = i^3 - 4[/tex]

[tex]N = -i - 4[/tex]

Rewrite as:

[tex]N = -4 - i[/tex]

A complex number a + bi has a- bi as its conjugate.

So, the conjugate of N is:

[tex]N' = -4 + i[/tex]

Hence, (c) is correct

Read more about conjugates at:

https://brainly.com/question/4938966

4 Amina and Sara have £320 between them.
They share the money in the ratio 5:3
How much money does Amina receive?

Answers

200 is how much amine has and 120 is how much data has

1.5-6 - (-3) *
(5 Points)
Enter your answer

Please help...I need it

Answers

Answer:

1.5

Step-by-step explanation:

1.5-6 - (-3)=1.5-6+3=-4.5+3=1.5

Select all the ratios that are equivalent to each other. 4:7, 8:15, 16:28, 2:3, 20:35

Answers

Answer:

4:7 16:28 20:35

Step-by-step explanation:

Answer:

4:7 = 16:28

Step-by-step explanation:

4 × 4 = 16

7 × 4 = 28

Use the graph that is shown to complete the following sentence.





When x = -3, then y =
.

Answers

Answer:

When X=-3 Y= -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

     I had the same question a couple years back and this paragraph really helped me out, hopefully it does the same for you. The coordinate plane is a way that we have to locate points in two dimensions. It consists of two intersecting lines that we call axes. The axes are number lines with positive and negative values. The horizontal line is referred to as the x-axis, and the vertical line is the y-axis. The coordinate plane is divided into four quadrants. These quadrants are named with Roman numerals and are numbered starting in the top, right section and moving counter-clockwise.

Rebecca wants to bye cupcakes and juice boxes for a party.Cupcakes come in packages of 12, and juice boxes come in packages of 10. She wants an equal number off cupcakes and juice boxes.What is the fewest number of packages of each Rebecca should buy?

Answers

2

2 is the highest number that both 10 and 12 are divisible by


hope this helps

Answer:

Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes

Step-by-step explanation:

To find the equal number of cupcakes and juice boxes, you have to find the LCM(least common multiple)

12×1 = 12 ≠ 10 ×1 = 12

12×2 = 24 ≠ 10×2 = 20

12×3 = 36 ≠ 10×3 = 30

12×4 = 48 ≠ 10×4 = 40

12× 5 = 60 ≠ 10×5 = 50

12 × 5 = 60 = 10×6 = 60

Therefore, Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes

Hope this made sense!!!

what is the answer to 42 + 8 = 20

Answers

Answer:

FALSE

Step-by-step explanation:

50=20(WRONG)

What is the length of line segment JK?
A)
106
B)
13
C)
19
D)
67

Answers

Answer:

I can say with certainty the answer is B: 13 :)

The length of the line segment is 13

Write as an expression: the quantity 8 plus x multiplied by -4.


Will give 15 points ASAP

Answers

i think it would just be 8+x*-4 but im not sure

v=lwh (solve for w)​

Answers

V/lh=w
Hope this helps you

If you know that the vertex of a function is (-3,2) and the value of a=-1 then what is the vertex form of the function

Answers

the vertex form would be f(x) = -1(x+3) +2
a is the slope of the equation
-3 is the h of the equation (which has to have the opposite sign when you make the equation from the vertex)
and 2 is the y intercept

Help me ASAP! No explanation just answer for me really quick it would be a lot of help

Answers

Answer:

3/4= 0.75

9/10= 0.9

8/25= 0.32

5/8= 0.625

Step-by-step explanation:

Answer:

3/4 = 0.75, 9/10 = 0.90, 8/25 = 0.32, 5/8 = 0.625

Step-by-step explanation:

hope this helps!

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.

Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

Answers

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.

Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.

Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.

Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.

Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.

Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

[tex]61y)6y \times 2 \div \sqrt[ \geqslant | | \frac{ > > < = {348)48)98)8(978). > \\ | > | \sqrt[m \: \% log( \beta \tan( \\ log_{ log_{ \binom{ \\ \\ {}cbc log(\pi \beta \sec( \cos( \tan( \sin( \infty e log( ln( log( ln( > .15 - 756 { > | > | < \sqrt[ < 5x6y6)9x9yyyy \div \frac{ \\ 2697930046y - xy > \geqslant \: \binom{ log( \binom{ \sec( \gamma \\ }m{cx > 03y9)y \times ) }{?} ) }{?} \times \frac{?}{?} }{?} \times \frac{?}{?} ]{?} | | }^{?} ) ) ) ) ) ) ) ) ) }{?} }(?) }(?) ) ) ]{?} | | }^{?} }{?} | | ]{?} [/tex]

please mark me as brainliest. ...........

follow me .....my friend. .....

pls help giving brbrainlyist

Answers

The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.

If we substitute x = 3 (for x>2)

We'll get (3+2)(3-2)>0

5(1)>0

5>0 The statement is true.

If we substitute x = -3 (for x<-2)

We'll get (-3+2)(-3-2)>0

-1(-5)>0

5>0 The statement is true.

We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2

Answer:

x >2 and x < -2

Step-by-step explanation:

The line on the right starts on -2 and goes towards -10

So ; x is x < -2

The line on the right starts on 2 and goes towards 10

So ; x is  x >2

Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3

Answers

Answer:

x=3 and y=5 passes through(3,5)

x=2 and x=3 is perpendicular to y=3

so anwer is x=3

A radar operator on a ship discovers a large sunken vessel lying parallel to the ocean surface, 120 m directly below the ship. The length of the vessel is a clue to which wreck has been found. The radar operator measures the angles of depression to the front and back of the sunken vessel to be 55° and 46°. How long, to the nearest tenth of a metre, is the sunken vessel?

Answers

Answer:

The length of the sunken vessel, to the nearest tenth is 200 m

Step-by-step explanation:

The given information are;

The depth of the sunken vessel below the ship = 120 m

The angle of depression to the front of the sunken vessel = 55°

The angle of depression to the back of the sunken vessel = 46°

Therefore, we have;

The length, A, of the from directly below the ship to the front of the sunken vessel given as follows;

Tan(55°) = ((120 m)/A)

A = 120 / Tan(55°) ≈ 84.025 m

The length, B, of the from directly below the ship to the back of the sunken vessel given as follows;

tan(46°) = ((120 m)/B)

B = 120 / tan(46°) ≈ 115.88 m

The length, L,  of the sunken vessel = A + B

L = A + B = 120 / Tan(55°) + 120 / tan(46°) ≈ 84.025 m + 115.88 m ≈  199.91 m

∴ The length, L, of the sunken vessel, to the nearest tenth = 200 m.

A bakery bakes 4 dozen loaves of bread every 18 hours. Find the unit rate to the nearest hundredth.​

Answers

48 donuts = 18 minutes. 48 / 18 = 2.66 Round it to the nearest hundredth. The answer would be 2.67                            HOPE IT HELPS(◕‿◕✿)                                     SMILE!!

Sumina sold 22 pairs of shoes each day, Monday through Wednesday, 28 pairs on Thursday, and 31 on Friday. How many shoes must he sell on Saturday to average 29 pairs sold for the 6 days he worked during the week?

Answers

Answer:

asdawdad

Step-by-step explanation:

dasdsadasdsadadawddawdwadddddddddd

Round 25.29 to the nearest whole number.

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

If the first digit in the fractional part of 25.29 is less than 5 then we simply remove the fractional part to get the answer. If the first digit in the fractional part of 25.29 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

simplify the radical (plz show your work step by step) :)
-8√42

Answers

Answer:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Step-by-step explanation:

Answer:

cannot be simplified

Step-by-step explanation:

[tex]-8\sqrt{42}\\\\=-8\sqrt{2*3*7}\\\\=-8\sqrt{42}[/tex]

Consider the following ordered pairs that represent a relation.
{(-4,-7), (0, 6), (5,-3), (5,2)}
What can be concluded of the domain and range for this relation? Check all that apply.
The domain is the y values of the ordered pairs.
The range is the set of output values.
The given relation is a function.
Zero is included in the range of the relation.
5 is included in the domain of this relation,

Answers

2 Answers: Choice B, Choice EThe range is the set of output values.5 is included in the domain of this relation.

==========================================

Explanation:

Choice A is false because the domain consists of the x values, not the y values. The domain is the set of allowed inputs.Choice B is true because the range is the set of possible output y values.Choice C is false because the input x = 5 leads to multiple outputs (y = -3 and y = 2 at the same time). Plotting all the points on the same xy grid shows the relation fails the vertical line test.Choice D is false because y = 0 is not in any of the points. Choice E is true since x = 5 is part of (5,-3) and (5,2)

Answer:

The answers are B.) The range is the set of output values. and E.)

5 is included in the domain of this relation.

Step-by-step explanation:

This is right on edg. 2020

Tracy stopped at the convenience store on her way to school. With tax, bottles of soda cost 1.50 and bags of chips cost 2.50. If she has 12, what is the greatest number of bags of chips she can buy and still have enough money left to buy two bottles of soda?

Answers

Answer:

i think the answer is 3 she can buy 3 bags of chips

Step-by-step explanation:

Question 4 Which is a TRUE statement about the transformation shown?

The graph shows a translation, and the pre-image and image are congruent.

The graph shows a reflection, and the pre-image and image are congruent.

The graph shows a translation, and the pre-image and image are similar.

The graph shows a reflection, and the pre-image and image are similar.​

Answers

Answer:

reflection

Step-by-step explanation:

the second picture is the same distance away form the y axis as the first picture

The graph shows a reflection, and the pre-image and image are congruent.

The correct option is B.

What is a reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

The transformation shown in the graph is reflection.

The graph shows a reflection, and the pre-image and image are congruent.

Because the distance between the vertices are equal and angles are equal.

Therefore, the pre-image and image are congruent.

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ5

A single train ticket cost $3.50.A book of 5 cost 15.00. How much money can be saved by buying a book of 5 tickets rather than 5single tickets?

Answers

Answer:

$2.50

Step-by-step explanation:

$3.50 * 5 = $17.50

$17.50 - $15.00 = $2.50

Hope this helps

Answer:

3.50 x 5 = 17.50 - 15.00 = 2.50

Step-by-step explanation:

youll save $2.50

20,480 , 30,480 , __________ , 40,480 sequence

Answers

Answer:

35,240

Step-by-step explanation:

math statistics sba problem

Answers

What is the question ?
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