A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?

Answers

Answer 1

It will take B 8 hours to travel in order to overtake A.

The relationship among the distance, time and speed can be expressed by using the relation.

[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]

In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.

Here:

as speed (v) rises;time (t) decreases, and distance (d) is constant

From the given relation:

Distance = speed × time

So, we can have a table expressing the parameters given in the question as follows:

           v            t            d

A          4            t+2     4t + 8

B          5             t         5t

Equating both distance together, we have:

4t + 8 = 5t

collecting like terms, we have:

4t - 5t = -8

t = 8 hours

Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.

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Related Questions

Which of the following is in the range of the function based on the input-output table below?

Answers

Answer:

A.

Step-by-step explanation:

The answer is A because first:

1. we are looking for y so B and D are off the table

2. It goes from least to greatest so C is also gone

3. You are left with A

Answer:

A

Step-by-step explanation:

The range is the y value.

In this table the y value is pay per month.

find the inverse function f(x)=1/2x+2​

Answers

Answer:

y=2x-4

Step-by-step explanation:

f(x)=1/2x+2

y=1/2x+2

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

x=1/2y+2

1/2y=x-2

y=2(x-2)

y=2x-4

fill in blanks plz hurry due tmrw

5/7of ... is 5/21

... is blank

Answers

[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).

Answers

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

The coordinates of the triangle are given as:

[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]

Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

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I need help with this question ASAP!

Answers

the answer is c because 3/6 simplified is equal to 1/2

Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?

Answers

Explanation :-

We are given that the length of the frame is 5 inch and breadth of the frame is 8 inch. And Miguel glues a ribbon border around the edges of the frame. We have to find –the total length of ribbon Miguel uses.

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

Length of the frame is = 5 inchBreadth of the frame is = 8 inch

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Henceforth, perimeter of the frame is 26 inch.

Therefore,

Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

Classify the triangle based on the side lengths 7. 15 and 21​

Answers

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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this question is hard

Answers

A) Total number of old plans = 3500 + 4700 = 8200

In the new month, the unlimited plans increased by 55%, which adds

0.55 • 3500 = 1925

unlimited plans, while the limited plans decreased by 25%, which subtracts

0.25 • 4700 = 1175

limited plans. Then

Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950

which corresponds to a percent change of

(8950 - 8200)/8200 ≈ 0.0915 = 9.15%

That is, percent change is given by

(new value - old value) / (old value)

B) The percent change is positive, so it's a percent increase.

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Answers

Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
____ minutes
WARNING GIVE A DETAILED ANSWER

Answers

20 x .80 = 16 minutes

Time required to walk to school is,  t=20 mins

Since, Andre takes 80% of time required to walk to school. Which means

Time taken by Andre = 80% of 20 minutes

t-80/100x20

t=16 minutes

Andre takes 16 minutes to walk to school.

p.s you can be rude and take the points to my question idc Imma be nice and help you

Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7

Answers

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with the given frequency.



Answers

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?

Answers

Answer:

9 oz

Step-by-step explanation:

36 ounces * 0.75 = 9oz.

Answer:The small jar holds about 27 ounces.Step-by-step explanation:Basically, the question is asking 75% of 36. => 36 x 75/100=> 36 x 3/4=> 9 x 3=> 27 ouncesConclusion:

Therefore, the small jar holds about 27 ounces.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:

-11 + 9b² = 25

If you can help me I will be very grateful!

Answers

Answer:

b=4

Step-by-step explanation:

-11+9b^2=25

add 11 to both sides

9b^2=36

divide both sides by 9

b^2=4

take the square root of both sides

b=4

The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?

Answers

Answer:

121 days to hike the length of the trail.

Step-by-step explanation:

Divide 2175 miles by 18 miles/day.  The unit 'miles' will cancel out, leaving with us the unit 'days.'

 2175 miles

------------------- = 121 days

  18 mi/day

what is the answer to this equation? x^2-18x+206=0

Answers

x = 9-5^(3/2)*i or x = 5^(3/2)*i+9

ok done. Thank to me :>

There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest

Answers

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

Please help, question in pic

Answers

Answer:

D

Step-by-step explanation:

hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps

A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?

A.
x = x
B. x= 3
C. 1=1
D. 1 = 3

Answers

Answer:

b maybe....

Step-by-step explanation:

Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.

Answers

Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)        

8² = (4 + x - 7) (4)             BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)

Answers

Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

What is a cuboid?

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

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Determine the correct value of 3x + 2 when x= 5

Answers

Step-by-step explanation:

3x+2

3 x 5=15

15 + 2 = 17

so your answer is 17

pemdas

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?

Answers

Answer:

I have no any ideas

Step-by-step explanation:

sorry

Determine the slope of the line that passes through the points (-8,-4) and (0, -1).​

Answers

Answer:

3/8

Step-by-step explanation:

(-1-(-4))/(0-(-8))

=3/8

the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price

can someone please awnser this right away

Answers

Answer:

[tex]25 \times \frac{60}{100} = 15[/tex]

Step-by-step explanation:

Multiply 25 by 60%

what are the correct answers?

Answers

cos (75)=cos (15) nothing square and check

Find the value of f(7).
y = f(x)

Answers

-1 should be your answer. It is where the parabola intersects when x=7

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer: bring the purple column to 5 and then green to 6

Step-by-step explanation: you need to divide which results you with 5/6

Answer: It takes john 1.2 months to read one book

Step-by-step explanation:

In - order to find out the answer we need to do [ months / books ] --> 12 / 10

what is 12 divided by 10 ? 1.2

Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.

Answers

Answer:

105t1

Step-by-step explanation:

por qué los sumas te da

Factor completely.
121x^2 – 144

Answers

(11x+12) (11x-12) since it’s a difference of squares

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

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