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

2 Sarah's recipe for energy bars calls for 5 cup of dried fruit. How many cups of dried fruit will she need to make la batches of energy bars?​

Answers

Answer:

5 cups of dried fruit?

Step-by-step explanation:

unless something is missing it's 5  cups

0.36 as a standard form

Answers

Answer:

0.36 x 10⁰

Step-by-step explanation:

Solve the inequality f – 4 ≤ 9 for f
help me.

Answers

f ≤ 13 (add the 4 to the 9 to make 13)

Answer:

13

Step-by-step explanation:

Have a great day!! :)

The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.

Answers

The accurate statements are:

b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.  e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The given parameters are:

[tex]n = 12[/tex] --- number of parts

[tex]r = 10[/tex] --- the radius

(a) The central angle

Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.

So, the measure of the two sections is:

[tex]\theta = 30^o \times 2[/tex]

[tex]\theta = 60^o[/tex]

Hence, (a) is false

(b) The circumference

This is calculated using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 \times 3.14\times 10[/tex]

[tex]C = 62.8[/tex]

Hence, (b) is true

(c) The measure of the minor arc

Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.

So, the measure of the four sections is:

[tex]\theta = 30^o \times 4[/tex]

[tex]\theta = 120^o[/tex]

Hence, (c) is true

(d) The length of the major arc

Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.

So, the measure of the seven sections is:

[tex]\theta = 30^o \times 7[/tex]

[tex]\theta = 210^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{13188}{360}[/tex]

[tex]L = 36.3[/tex]

Hence, (d) is false

(e) The length of the minor arc

There is only one section between points 6 and 7

So, the measure of the section is:

[tex]\theta = 30^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{1884}{360}[/tex]

[tex]L = 5.2[/tex]

Hence, (e) is true

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Answer:

-B

-C

-E

Step-by-step explanation:

just took the test...

I got them right

Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.

Answers

Answer:

Ive alredy answered your quesiton but what ever

20%

43*0.8=34.4

Hope This Helps!!!

PLS HELP SO CONFUSED POSSIBLE BRANLIEST

The figure below shows the letter Z and four of its transformed images—A, B, C, and D:

A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.

Which of the four images was formed by a reflection of the letter Z?

A
B
C
D

Answers

Answer: The correct answer is A.

Step-by-step explanation: The answer is A, because a reflection would be reflected, therefore it is on the right side of the graph and the Z is facing the other way as if it were a literal reflection.

A

give the other brainliest

Anyone know these answers for algebra? (There's 16)
1. 7/n-6=9/5
2. r-2/5=6/7
3. A+6/5=7/2
4. 10/2=x-9/4
5. 8/7=9/n-7
6. p-7/p=10/8
7. N+9/3=n/4
8. N+8/6=n/4
9. 7% of what is 20.4
10. 71 is 38% of what
11. What percent of 158 is 6
12. 390% of what is 150
13. 47% of what is 91.6
14. 10% of what is 159
15. 34% of what is 126
16. 91% of what is 48

Answers

12: 47% of 91.647×91.6/100

a drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? What do the x and y intercepts represent?

Answers

Answer:

On average, the workers dig 4.75ft each day. Also, what x and y questions?

Step-by-step explanation:

Take [tex]38/8=4.75[/tex]

I hope you have a great day and make me the brainliest.

The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.

Given that,
A drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water,

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
The total depth of dig = 38 feet
Total time took to dig 38 feet = 8 days
For 1 day, the depth of the dig = 38 / 8 = 4.75
Now,
Let x is the number of days,
while y be the depth left to dig in feet,
y = 38 - 4.75x

The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.

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#SPJ2

A store owner bought 15001500 pencils at \$0.10$0.10 each. If he sells them for \$0.25$0.25 each, how many of them must he sell to make a profit of exactly \$100.00$100.00

Answers

Based on the information given, the number of pencils that should be sold will be 1000 pencils.

Let the number that should be sold be x.

A store owner bought 1500 pencils at $0.10 each. Therefore, the cost price will be:

= 1500 × $0.10 = $150

Profit = Selling price - Cost price

100 = 0.25x - 150

0.25x = 100 + 150

0.25x = 250

x = 250/0.25

x = 1000

Therefore, 1000 pencils should be sold.

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The following stem-and-leaf plot shows a data set.

Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21

How many observations are in this data set?

47

14

19

15

Answers

Answer:  D) 15

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

Explanation:

Ignore the stems. We count out the number of leaves

row one: 3 leaves (3,7,7)row two: 5 leaves (2,4,4,4,5)row three: 4 leaves (1,5,8,9)row four: 3 leaves (0,6,7)

So we have a total of 3+5+4+3 = 15 leaves which correspond to 15 data values.

Order the side lengths from least to greatest.

Answers

Answer:

38, 40, and 102

Step-by-step explanation:

when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102

Find the unit rate.

289 miles on 10 gallons

The unit rate is( )miles per gallon

Answers

Answer:

28.9 mpg

Step-by-step explanation:

Divide the miles by the gallons. 289 / 10 = 28.9

help please anybody Pls​

Answers

Answer:

the 2nd one and the 3rd one

Step-by-step explanation:

hope this helps

Pls solve this with solution​

Answers

Okay so for these problems it’s best to break up the problem and solve it step by step. First, 10 to the 5th power(the little 5) is the same as 10x10x10x10x10=100,000. So, 10 to the second power(little 2 on top) is equal to 10x10=100. Then after you find your answer there the problem becomes easier and all that’s left is to multiply and add. Next multiply 6x100,000=600,000 and 6x100=600. Finally we add them, 600,000 + 600= 600,600. 600,060 does not equal 600,600 so the equation is false.

Whats the answer? i need help

Answers

Answer:

x = 2 and x + y = -3

Step-by-step explanation:

With the xy example filled, I could work out that x was 2 by realising that if y was -5, then to get to -10 it'd have to be multiplied by two, and I just added -5 and 2 after working out x for the bottom grid.

Hope this helps and you have a good day!

Left box is two (2) and the bottom box is negative three (-3)...

...You are given y, which is -5. We need to figure out x to fill the other 3

boxes or diamonds. xy is another way of saying x * y, so we know that

x * -5 = -10. We can use division to solve this. -10 / -5 = x, or 2. Now we can

fill in the top and left diamond. All that's left is to add x and y, or 2 and -5

together.

2 + -5 = -3

Top diamond : -10

Left diamond : 2

Bottom diamond : -3

Right diamond : -5

Hopefully this helps.

A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

V = 87.92 cubic cm

Step-by-step explanation:

V(cyl) = πr²h

V = 3.14(2²)(7)

V = 87.92

Rewrite using a single positive exponent.
(5-3)*

Answers

To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.

Step-by-step explanation:

Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below  if you have it)

But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:

[tex]\frac{1}{5^3}[/tex]

This is our final answer.

The reciprocal indices law states that:

[tex]x^{-n} = \frac{1}{x^n}[/tex]

Hope this helps!

find the quadratic equation of -9+3p2=-12

Answers

Answer:

How to solve your problem-  

9 + 3 2 = − 1 2

Step-by-step explanation:

− 9 +  3  2  =  − 1 2

9+3p2=-12

3 2  − 9 =  − 1 2

Determine the sign of the trigonometric values listed below.
(i) sin 250°
(ii) tan 330°
(iii) cos(-40°)

Answers

Answer:

(i) sin 250°: negative

(ii) tan 330°: negative

(iii) cos(-40°): positive

Step-by-step explanation:

Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!

Answers

Answer:

your answer is the last option

Step-by-step explanation:

There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer

The answer is 58 hope this helps

There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?

Answers

Answer:

21

Step-by-step explanation:

70/10=7

So 7 people are 10% of the train.

10*3=30

7*3=21

21 empty seats

Answer

21

Step-by-step explanation:

Find the length of side x to the nearest tenth.
300
x
1
60°

Answers

Answer:

x=65

Step-by-step explanation:

2x^2
When x is equal to -3

Answers

Answer:

18

Step-by-step explanation:

Substitute x = - 3 into the expression

2x²

= 2(- 3)²

= 2 × 9

= 18

name the relationship of these angles

Answers

1) linear pair
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical

Kindly help out with this question!

Answers

Step-by-step explanation:

33+22+90=145

180-145=35

x=180-35

x=145

You have to add all the angles inside together.
So you do 33+22+90 = 145
Then you do 180-145 which is 35 degrees.
Now you know the angle inside of x is 35. We need to find x.
Because a straight line is 180 degrees, you need to do 180-35 which is 145 degrees.
So x = 145

Can someone please help 25 points for this one

Answers

Answer:

im not sureee

Step-by-step explanation:

srry

Draw the polygon with the given vertices in a coordinate plane.

(3,2),(4,7),(6,0)
I will give you brainlist if you draw it out too
PLEASE TYPE IN THE COORDINATES

Answers

Answer:

Step-by-step explanation:

What is 0.27845 rounded to 3 decimal places

Answers

Answer:

0.278

Step-by-step explanation:

What is the answer to 7-x²

Answers

Answer:

7-1x^2

Step-by-step explanation:

what does the point (60,20) mean in the graph math

Answers

(60,20) means that the 60 lies in the x-axis and 20 lies in the y-axis. So draw the graph according to it
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