Jimmy walks to his school every morning. He leaves home everyday at the same time. And the school starts at the same time everyday at 8 am. If he walks at 40 meters per minute, he will reach his school 5 minutes late. If he walks at 60 meters per minute, he will reach his school 3 minutes before the bell rings.

Answers

Answer 1

Answer: The bell rins at 8:19 AM, and the distance between Jimmy's house and the school is 960 meters.

Step-by-step explanation:

Let's define the variables:

T = Number of minutes after 8 AM such that the school's bell sounds.

D = Distance between jimmy's house and the school, in meters

And remember the relation:

Distance = Speed*Time.

We know that:

"If he walks at 40 meters per minute, he will reach his school 5 minutes late."

D = (T + 5)*40

"If he walks at 60 meters per minute, he will reach his school 3 minutes before the bell rings."

D = (T - 3)*60

Then we have a system of equations:

D = (T + 5)*40

D = (T - 3)*60

We can take the quotient of these two equations and get:

D/D = ((T + 5)*40 )/((T - 3)*60)

1 = (4/6)*(T + 5)/(T - 3)

Now let's solve this for T.

6/4 = (T + 5)/(T - 3)

(6/4)*T - (6/4)*3 = T + 5

(6/4)*T - T = 5 + (6/4)*3

T*(2/4) = 5 + 18/4 = 5 + 9/2

T = (4/2)*(5 + 9/2) = 19

Then the bell sounds 19 minutes after 8AM, at 8:19 AM

And with this, we can find the distance D:

D = (T + 5)*40 = (19 + 5)*40 = 960

The distance between Jimmy's house and the school is 960 meters.


Related Questions

Ms. W has 400 followers on Twitter and is gaining 75 followers each day. Mrs. Hill has 1,000 followers on Twitter, but is losing 25 followers a day. How many days will it take them to have the same number of followers?​

Answers

Answer:

It takes 6 days.

Step-by-step explanation:

First, you have to form expressions for both of them in terms of x. Let x be the number of days :

Ms. W = 400 + 75x

Mrs. Hill = 1000 - 25x

Next, you have to compare it as we want to find out how many days in takes for them to have the same number of followers :

400 + 75x = 1000 - 25x

75x + 25x = 1000 - 400

100x = 600

x = 6

Factoring trinomials
Select two for each

Answers

Answer:

1. (x + 3) , (x + 4)

2. (x + 5) , (x - 2)

Step-by-step explanation:

1) ( x + 3 ) ( x + 4 )

2) ( x - 2 ) ( x + 5)

hope this helps

Does any one know the answer?

Answers

Answer:

D is the answer (31.05)

Step-by-step explanation:

2.07×15 is 31.05

Beasley Office Supplies received an order for 7,384 tacks. If each box in the shipment contains 52 tacks, how many boxes do they need to include in the shipment?

Answers

Answer:

142

Step-by-step explanation:

hope this helps!

show work / explain it ​

Answers

Answer:
X 1 = -4,X 2 =12

EXPLANATION:

Determine the defined range
X+6/x=6/x-8,x#0,x#8

Simplify the equation using cross-multiplication
(X+6) x (x-8)=6x

Move variable to the left-hand side and change its sign
(X-6)x(x-8)-6x=0

Multiply the parentheses
X^2-8x+6x-48-6x=0

Since two opposites add up to zero, remove them from the expression
X^2-8x-48=0

Write -8x as a difference
X^2+4x-12x-48=0

Factor out x from the expression
Xx(x+4)-12x-48=0

Factor out -12 from the expression
Xx(x+4)-12(x+4)=0

Factor out from the expression
(x+4)x(x-12)=0

When the product of factors equals 0, at least one factor is 0
x+4=0
x-12=0

Solve the equation for x
X=-4
X-12=0
X=-4,x#0,x#8

Check if the solution is in the defined range
X=-4
x=12

The equation has 2 solutions

X 1 = -4,X 2 =12

Hope this helps


In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?

This is in the topic of linear equations and please provide an explanation. (The working out)

Answers

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

In the year 2000 the mother was 50 so that means that in the year 1974 she was 24. If in 1974 she was 6x as old as her daughter then her daughter was 4 years old. Her daughter is 30 in the year 2000 so the year the mothers age was double her daughters age is before 2000 and after 1974. But since we know that in 2000 mom was 50 and daughter is 30 we can take 10 years from both to have 40 and 20. 40 is double of 20 so
In the year 1990 the mother was 40, and therefore double her daughters age, who was 20.


The population of Latvia in 1989 was 2 700 000. In 1994 it was 2 500 000. Calculate the percentage decrease in the population between 1989 and 1994

Answers

Answer:

7.4%

Step-by-step explanation:

Given parameters:

Population of Latvia in 1989 = 2700000

Population of Latvia in 1994  = 2500000

Unknown:

Percentage decrease in population  = ?

Solution:

The change in population;

  Change in population = 2700000-2500000 = 200000

Percentage decrease  = [tex]\frac{Population change }{Population in 1989} x 100[/tex]

Percentage decrease  = [tex]\frac{200000}{2700000}[/tex] x 100 = 7.4% decrease

Identify the slope of the following line y = - 2x + 7
Pleasee

Answers

Answer:

-2 or -2/1

Step-by-step explanation:

Since the equation is in y = mx + b form with m equaling the slope, we can see that -2 is in m's place, so -2 is the slope.

Slope = -2. The equation is y=Mx + b form, so whatever number is in front of x that’s your slope. (M=slope)

Please help will make brainiest !!

Answers

Answer:

CB = 13.75

Step-by-step explanation:

Since we know that A, B, and C are the midpoint of the sides, we know that line CB is proportional to QR (by 2)..

So, 27.5/2 = 13.75

7/3*+1/3=4+5/3x this is a test pls helppp

Answers

Answer:

I am sorry. To answer a test is against the Honor Code, I cannot help you.

Step-by-step explanation:

Remember PEMDAS :)

Answer:

2.125

Step-by-step explanation:

every 30 seconds, Joan places a correct puzzle piece. How long would it take her to complete a 3000 piece puzzle?

Answers

Answer:

it will take her 90000 seconds to complete 3000 piece of puzzle

Step-by-step explanation:

every 30 seconds, a correct puzzle piece , meaning 1 piece

how long would it take her to complete a 3000 piece puzzle

so let x = how long it would take her to complete a 3000 piece puzzle

so if 30 seconds = 1 piece

x seconds = 3000 piece

x = 90000 seconds

I will give brainliest to the person who does this first

Answers

1. 8a+24

2. .12e

ill edit it when get the other answers

Brainiest? pls

PLEASE HELP 20 POINTS...PLEASE HELP

Answers

Answer: the slope of this line is 2/3

Step-by-step explanation:

If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.

Answer: -2/3

rises by 2 and runs by 3

using points (0,2) and (-3,3)

I hope this is good enough:

Evaluate the expression when a=-4 and x=5.

a-2x

Answers

Answer:

That would be -14.

Step-by-step explanation:

Answer:

it's -14 when u evaluate a-2x

The graph models the projected populations, in thousands, of two towns after x years. Both towns experience a 1.9% annual growth rate.

Answers

whats the question

?

The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction​

Answers

Answer:

please correct your question

find the x and y intercept
y+5=2(x+1)

Answers

Answer:

X-Intercept= (1.5,0)

Y-Intercept= (0,-3)

Step-by-step explanation:

Nina can type 124 words in 4 minutes.at this rate how many words can nina type in an hour

Answers

Answer:

1,860

Step-by-step explanation:

FIRST:

we divide 124 by 4 because in 4 minutes he can type 124 words, and we need to figure out how many he can type in a minute.

124 divided by 4 is 31. (they can type 31 wpm)

NEXT: now we know they can type 31 wpm, we need to multiply that number by 60 because there are 60 minutes in an hour.

31 x 60 = 1,860

therefore, they can type 1860 words per hour

hope i helped have a great day/night! :'')

I just need some quick help with this. Distributive properties aren't my best section.
Describe how you would use the distributive property to simplify (39x5).

Answers

In this case u can’t use the distributive property. U just multiple whats in the parenthesis (39•5)=195 and that’s ur answer.
Let’s say if the problem said 5(2+1) u can’t use the distributive property bc u have to do what’s in the parentheses first. 5(3)=15
But If u had a problem like 2(4x+6) then u can use the distributive property. This is bc u can’t add 4x+6 bc they aren’t like terms. So u multiple the 2 by 4x which is 8x and the 2 by 6 which is 12 then ur answer would be : 8x+12

Which of the following equations is correct? select three that apply
A) 0.12 = 4/33
B) 0.4 = 2/5
C) 0.54 = 6/11
D) 0.7 = 7/9
E) 0.83 = 5/6
F) 0.91 = 41/45

Answers

Answer:b,e,f

Step-by-step explanation:

The correct equations are:

B) 0.4 = 2/5

D) 0.7 = 7/9

E) 0.83 = 5/6

To determine which of the following equations is correct, we need to compare each decimal value to its equivalent fraction. Here are the correct equations:

B) 0.4 = 2/5

D) 0.7 = 7/9

E) 0.83 = 5/6

B) 0.4 is equivalent to 2/5 because 0.4 means 4 tenths, and 2/5 also represents 4 tenths (2 parts out of 5).

D) 0.7 is equivalent to 7/9 because 0.7 means 7 tenths, and 7/9 also represents 7 tenths (7 parts out of 9).

E) 0.83 is equivalent to 5/6 because 0.83 means 83 hundredths, and 5/6 also represents 83 hundredths (5 parts out of 6).

The remaining options (A, C, and F) are not correct as their decimal values do not match their corresponding fractions.

To know more about equations:

https://brainly.com/question/33622350


#SPJ6

A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How many swim classes did the student take?

Answers

Answer:

He took 5 swimming classes.

Step-by-step explanation:

The problem states that the student paid a total of $56.25 for the classes and also the one-time registration fee. To find the number of classes, we should first subtract the one-time registration fee from the total.

$56.25 - $12.50 = $43.75

Now that we know he spent a total of $43.75 on the classes without the registration fee, we can divide that number by the cost of one class ($8.75) to calculate the total number of classes he took.

43.75 / 8.75 = 5

What is 3/4 x 2/3?


Pls help!!!!!!

Answers

Answer:

1/2

Step-by-step explanation:

3/4 × 2/3

3 × 2/4 × 3

6/12 = 1/2

Thus, 3/4 × 2/3 = 1/2

-TheUnknownScientist

Answer:

The answer would be 1/2 or 0.5.

Step-by-step explanation:

1.) Multiply the numerators

3x2=6

2.) Multiply the denominators.

4x3=12

3.)Simplify the fraction.

6/12=1/2 or 0.5

An airplane is preparing to land at an airport. It is 41,300 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.

Answers

9514 1404 393

Answer:

after 7 minutes19,600 feet

Step-by-step explanation:

Here's the "pencil and paper" solution:

  The two altitude equations are ...

y = 41300 -3100xy = 2800x

They can be solved by setting the expressions for y equal to each other.

  2800x = 41300 -3100x

  5900x = 41300

  x = 41300/5900 = 7

  y = 2800·7 = 19600

The planes will both be at 19,600 feet after 7 minutes.

_____

Attached are solutions from a graphing calculator, and from a calculator app that is able to solve systems of equations.

I find the graphing calculator the easiest to use. I can enter equations using a keyboard, and the solution is displayed in a form that can be copied and pasted.

The calculator app on my phone requires equation entry using a small on-screen keyboard, with multiple key hits required to access some functions. (y is obtained by hitting the x key twice, for example.)

The "pencil and paper" solution is not so difficult, but requires a certain amount of writing (or good short-term memory). The solutions for x and y require separate calculations, whereas the other methods give both x and y at the same time.

5xy-x2t+2xy+3x2t asap

Answers

simplified answer is: 7xy+4tx

Answer:

7xy + 2x²t

Explanation:

5xy - x²t + 2xy + 3x²t

= (5xy + 2xy) + (3x²t - x²t)

= 7xy + 2x²t

I need help please help

Answers

Answer:

3/4

Step-by-step explanation:

6/8 = 3/4

A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?

Answers

Answer:

# of 5 dollar bills: 9

# of 1 dollar bills: 6

Step-by-step explanation:

9•5 = 45

1•6 = 6

To Check: 45 + 6=51

9 $5 bills and 6 $1 bills

7 + y = 5(2y – 1) + 3y

Answers

Answer:

y = 1

Step-by-step explanation:

Given

7 + y = 5(2y - 1) + 3y ← distribute and simplify right side

7 + y = 10y - 5 + 3y

7 + y = 13y - 5 ( subtract y from both sides )

7 = 12y - 5 ( add 5 to both sides )

12 = 12y ( divide both sides by 12 )

1 = y

2. A controller at the factory calls in employees on a flexible work schedule
during increased production cycles according to the sequence below.
10, 14, 18, 22, 26...

Answers

Answer:

i dont understand what u want us to do like?

Which sentence would NOT represent the inequality below? 3x +4 < 2x-6 A. The sum of three times a number and four is less than or equal to twice the same number minus six. B. The product of three and a number added to four is at least twice the same number subtracted by six. C. The product of three and a number added to four is at most twice the same number minus six. D. The surn of three times a number and four is less than or equal to the difference between twice the same number and six.

HURRY I WILL GIVE YOU BRAINLIST​

Answers

Answer:

B. The product of three and a number added to four is at least twice the same number subtracted by six.

Step-by-step explanation:

Given inequality

3x + 4 ≤ 2x - 6

Comparing with wording of same inequality

A. The sum of three times a number and four is less than or equal to twice the same number minus six.

Yes, same

B. The product of three and a number added to four is at least twice the same number subtracted by six.

No, different.  (at least is ≥)

C. The product of three and a number added to four is at most twice the same number minus six.

Yes, same.

D. The sum of three times a number and four is less than or equal to the difference between twice the same number and six.

Yes, same

A bathtub holds 80 gallons of water. Water drains out of the tub at a rate of 2 gallons every thirty seconds. At this rate, how many minutes will it take a full bathtub to drain completely?

Answers

Given :

A bathtub holds 80 gallons of water.

Water drains out of the tub at a rate of 2 gallons every thirty seconds.

To Find :

How many minutes will it take a full bathtub to drain completely.

Solution :

We know, 30 seconds = 0.5 minute.

Rate of water flow per minute is given by :

[tex]R = \dfrac{2}{0.5}=4 \ gallons/min[/tex]

Let, bathtub will completely drain in x minutes.

So, 4x = 80

x = 80/4

x = 20 minutes

Hence, this is the required solution.

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