Jabal and Michael are walking to school and agree to leave their homes at the same time.
Jabal leaves his house walking 2.5 meters per second, Michael leaves his house walking 6 meters per second
Jabal's house is 15 meters closer to school than Michael's house, therefore he is starting 16 meters closer than Michael
After how long are the boys walking together? Use any strategy you'd like to solve

Answers

Answer 1

Answer:

We can write the position equation as:

P(t) = speed*time + initial position.

If we define Jabal home as the 0 of the position, then Jabal's initial position is 0m

And we know that his speed is 2.5 m/s, then his position equation is:

Pj(t) = (2.5 m/s)*t

We know that Michael speed is 6m/s, and we also know that his house is 15m further away from school than Jabal's one, then Michael's initial position is -15m

Michael's position equation is:

Pm(t) = (6m/s)*t -15 m

The boys will be walking together when they meet, and this will happen when their positions are the same, this means that:

Pj(t) = Pm(t)

That is the equation we need to solve for t.

(2.5 m/s)*t = (6m/s)*t -15 m

15m = (6m/s)*t  -  (2.5 m/s)*t  = (3.5 m/s)*t

15m/(3.5 m/s) = t = 4.28 seconds.

The boys will walk together after 4.28 seconds.


Related Questions

Look at this shape:
Which image shows a reflection?

Answers

Answer:

I think it's A

woukdnt it be , b???

{(32)-3/4)3/4}4/5 pls solve it​

Answers

Answer:

18 3/4

Step-by-step explanation:

Solve {(32)-3/4)3/4}4/5

Expand the inner parenthesis

{(32)-3/4)3/4}4/5

= {3/4(32) - (3/4)(3/4)}*4/5

= {3(8)- 9/16} * 4/5

= {24 - 9/16}* 4/5

= 4/5(24) - 4/5(9/16)

= 96/5 - 36/80

= 96/5 - 9/20

Fine the LCM

= 96(4)-9/20

= (384-9)/20

= 375/20

= 18 15/20

= 18 3/4

Hence the required result is 18 3/4

HELPP I WILL BE GIVING BRAINLIEST AND 30 POINTS

Answers

It is FBG=20 and ABC=180

FBG= 10*

ABC= 180*

Now I will uhhhhhhhhhhhhhhhhhhhhhhhhhhhh yeah

SELECT THE BEST ANSWER
Expand the following product: (3a - 2b)(a + 5b)
a) 3a? + 13 ab - 1062
b) 3a2 + 13ab + 1062
c) 3a2 + 17ab - 1062
d) 3a2 - 13ab - 10b2​

Answers

Answer:

3a² + 13ab - 10b²

Step-by-step explanation:

(3a - 2b)(a + 5b)

Each term in each bracket multiplies each term in the other bracket.

3a(a + 5b) -2b(a + 5b)

3a² + 15ab - 2ab - 10b²

3a² + 13ab - 10b²

From which set of dimensions could a triangle be constructed?
side length of 7
side length of 8
side length of 15
side length of 8
side length of 5
side length of 14
side length of 6
side length of 3
side length of 10
side length of 2
side length of 6
side length of 7

Answers

Answer:

side length of 2

side length of 6

side length of 7

Step-by-step explanation:

So remember the two shorter lengths added together have to be greater than the longest side length

For the first answer choice we add 7 and 8

7+8=15

The two shorter sides added are not greater then the longest side so that is not the answer

For the second answer choice we add

8 and 5

8+5=13

13 is not greater than 14 so this is not the answer choice either

For the third one we add 6 and 3

6+3=9 which is not greater than 10 so this is not the answer

For the last one we add 2 and 6

2+6=8 which is greater than 7 so this one is the answer

Answer:

D.

Step-by-step explanation:

the real great pyramid has a square base with side length 750 feet and a height of 5000 feet. If the student has 162 cubic inches of clay for her model, what height will her pyramid be in inches?

Answers

Answer:

i hope this picture help u

xinxuweisddeueyehcjduxhx​

Answers

Answer:

⠀⠀⠀⠀⠀⠀8 2⠀⠀⠀⠀⠀+ ⠀ 6⠀⠀⠀⠀_________⠀⠀⠀⠀⠀⠀8 8

6 is the answer.

Hi!

□ = 6

82

6

+____

88

I wish you success :)

I need help with these questions

Answers

The first one is B a-b/a+b. The second one is is also B 1/2c

Explain why a negative solution must be eliminated as an extraneous solution when solving a rational equation for an unknown rate

Answers

Answer:

hey

Step-by-step explanation:

Answer: The rate must be positive

Step-by-step explanation:

the equation -3y= 5/3x + 4 expressed in standard form as

Answers

Answer:

its 4 and my brain is about to blow up cause i just know this

Step-by-step explanation:

Puzzle 5
Can you find the slope-intercept equation of each line and type the correct
code? Please remember to type in ALL CAPS with no spaces. *
Puzzle #5
12
answer choices
A: B: C:
y = 4x - 4y = x +1 ly = 2x +1
D: E:
F: 1
Y = 3x - 4y = -2x+3y=x+1
G: 1 H:
I:
yox + 3
3
2
v=3*-45
1
2
3
-4 -3 -2 -1
-1
4
13
Type the 4
letter code into
the answer
box All CAPS,
no spaces
-2
-3
4
Your answer
Back
Next

Answers

The required equation of green and blue line is y = 3x- 4 and y = x+1

Equation of a line

The standard equation of a line is expressed as y = mx + b

where;

m is the slope

b is the y-intercept

Note that the y-intercept is the point where the line cuts the y-axis

From the graph, the y-intercept of the green line is 3 while that of the blue is 1. This shows that the required equation of green and blue line is y = 3x- 4 and y = x+1

Learn more on equation of a line here; https://brainly.com/question/24656140

Which two values of x are roots of the polynomial below? (select all that apply
3x^2-3x+1

Answers

The answer is A and B

The roots of the given quadratic equation 3x² - 3x + 1 are x = [3 + √(-3)]/6 and x = [3 - √(-3)]/6 thus options (A) and (B) are correct.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given equation,

3x² - 3x + 1

To find the roots of the above quadratic equation,

3x² - 3x + 1 = 0

x = [-(-3) ± √((-3)² - 4×3×1)]/(2×3)

x = [3 ± √(-3)]/6

x = [3 + √(-3)]/6 and x = [3 - √(-3)]/6

Hence "The roots of the given quadratic equation 3x² - 3x + 1 are x = [3 + √(-3)]/6 and x = [3 - √(-3)]/6".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ2

   A batsman scored the following runs in his first six innings. 58,73,21,77,99,32. Find the mean of the runs scored by him.​

Answers

Answer:

60

Step-by-step explanation:

A Batman scored the following runs

58, 73, 21, 77, 99, 32

The mean can be calculated as follows

= 58+73+21+77+99+32/6

= 360/6

= 60

Hence the mean is 60

pls Help asap thx alot​

Answers

Answer:

y = 42x + 2

Step-by-step explanation:

yeah...

https://pad let.com/lil_g/ha7w6l19bzmv3cd0

Solve for x by factoring
x^2 + 2x = 24

Please help

Answers

= 4

= -6
HOPE THIS HELP ^_^

this is due today can anyone help ?

Answers

Answer:

C

Step-by-step explanation:

you need to start by plugging in -2x+4 every were it says y then solve for x when you have found x plug it into one of the equations and solve for y

The recycling center processed 36,000 pounds of recyclable materials. How many tons of recyclable materials are processed?
A 18 T
C 72,000 T
B 38,000 T
D 180 T​

Answers

Answer:

18 Tons

Step-by-step explanation:

36,000 / 2000 = 18

Mr. See weights his grades. Tests are worth 60%, quizzes are worth 25% and homework is 15%. Joey's test average is an 82, his quiz average is a 77, and his homework average is a 98. What is Joey's current grade?

Answers

Answer:

83.15

Step-by-step explanation:

Joey's current grade can be determined by weighting his scores with the weights given and adding the results

Tests = 0.6 x 82 = 49.2

Quizzes = 0.25 x 77 = 19.25

homework = 0.15 x 98 = 14.7

49.2 + 19.25 + 14.7 = 83.15

A blood bank needs 7 people to help with a blood drive. 17 people have volunteered. Find how many different groups of 7 can be formed from the 17 volunteers.​

Answers

2 groups of 7 can be formed with 3 people left over

Raju’s age (in years) is 2 more than 5 times her daughter’s age. What is his age. guys help me ​

Answers

Step-by-step explanation:

if you are writing it in an expression then

let raju's age be = x

let daughter be = y

x = 2 (5 × y)

x = 2 (5y)

x = 10y

so if daughter is 2 years old, then

x = 10(2)

x = 20 years

please help I'm desperate

Answers

Answer:

Um i think 0.25

Step-by-step explanation:

Im sorry there is a 80% chance im wrong (im only in 6th)

find the chaange original 8 new 12

Answers

Answer:

so my calculations show that (12.1 / 9.8) - 1 =~ 0.2346938775510204081632653061224 that is about a percentage of 23.469% thank you for asking that question, oh and this answer is also on yahoo

Step-by-step explanation:

Find the area of the shaded region.
Round to the nearest tenth.
150°
27.8 in
Area = [? ] in?

Answers

The area of a shape is the amount of space on the shape.

The area of the shaded region is 819 inches square

How to determine the area of the shaded region

Start by calculating the area of the sector using:

[tex]A = \frac{\theta}{360}*\pi r^2[/tex]

So, we have:

[tex]A = \frac{150}{360}*\frac{22}{7} * 27.8^2[/tex]

[tex]A = 1012.05[/tex]

Next, calculate the area of the isosceles triangle using:

[tex]A = \frac 12 r^2\sin(\theta)[/tex]

So, we have:

[tex]A = \frac 12 * 27.8^2 * \sin(150)[/tex]

[tex]A = 193.21[/tex]

The shaded area is the difference between the areas of the sector and the triangle.

So, we have:

[tex]A = 1012.05 - 193.21[/tex]

Calculate the difference

[tex]A = 818.84[/tex]

Approximate

[tex]A = 819[/tex]

Hence, the area of the shaded region is 819 inches square

Read more about areas at:

https://brainly.com/question/10090807

Answer:

A= 818.4

Step-by-step explanation:

Find the range of the following data 400, -70,-100, -1 ,300 ,290 *



200

470

500

401

Answers

Answer:

500 is the range

Step-by-step explanation:

You have to find the difference between the smallest and greatest numbers on the list. It would be 400 - (-100), which equals 500.

please help
answer the question
please don't steal the points

Answers

The correct answer is 4
The answer is 4 I hope this helps

PLS HELP ASAP! GIVING BRAINLIST

Answers

Answer:

the answer is B or q^2t^5/p^3

B: q^2 * t^5 / p^3


First simplify the p’s, we subtract and the denominator has more p’s so it stays there 5-2 =3

Next the q’s : anything to the 0 power is 1, so the p in the denominator goes away basically, and we keep the numerator with p^2

Finally, we simplify the t’s : there is only 1 t in the denominator and the majority is in the numerator , so it stays there: 6-1=5

What is the absolute value of 12?

Answers

Answer is 12
Hope this helps

An equation is given.

2
x
=
26
2x=26

​Which calculation would need to be done to solve the equation?
A
divide both sides by 2626
B
multiply both sides by 2626
C
divide both sides by 22
D
multiply both sides by 2

Answers

D because 2 has a x next to it so you divide by 2 on both sides

answer for this please

Answers

£17.80

Step-by-step explanation:

Multiply: 6 (children) • 2.15 (cost per ticket) = 12.90

Add: 12.90 + 4.90 = £17.80

the value of 21b - 32 + 7 b - 20 b is​

Answers

8b - 32

Hope it’s right
Best luck with your studying
8b-32, 8b=32, b=4 it says I need 20 characters sooooo
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