Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?

Answers

Answer 1

Answer:

2.5 miles

Step-by-step explanation:

We know that: time = distance/speed

Now, if the distance of the school from Jonathan's home is y.

At speed of 15 mph, Jonathans time is; time = y/15 hours

At 25 mph, his mother's time was;

time = y/25 hours

We are told that Jonathan was 1 mile from home when he saw his mother.

Thus means that difference in time is;

Time difference = 1/15 hours

Thus;

y/15 hours - y/25 hours = 1/15 hours

Multiply through by 75 to get;

5y - 3y = 5

2y = 5

y = 5/2

y = 2.5 miles


Related Questions


What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4 (5 points)

Answers

Answer: y=4x+6

Step-by-step explanation: you replace the variables in the equation with the variables in the point given to find b.

Answer:

[tex]y = 4x+6[/tex]

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

[tex]y = mx+b[/tex]

Where m is the slope of the line and b is the y-intercept. We are given the value of m=4, thus the equation becomes:

[tex]y = 4x+b[/tex]

To find the value of b, we use the point (0,6):

[tex]6=4*0+b[/tex]

Solving:

[tex]b=6[/tex]

Thus, the equation in slope-intercept form of the required line is

[tex]\boxed{y = 4x+6}[/tex]

WILL GIVE BRAINLIEST!
The estimated total cost, y, of a child's toy is partially based on the number of batteries used, x. The cost per battery is $0.50. They toy itself costs $15. Which equation represent the situation?


a

y = 0.50x - 15

b

y = 15x - 0.50

c

y = 15x + 0.50

d

y = 0.50x + 15

Answers

Answer:

D: 0.50x+15

Step-by-step explanation:

batteries used(each)- x, so you add the x in front of 0.50 representing multiplication between the #

you are doing total cost so you are doing addition (obvously) then its a plain $15 for the toy itself therefore,

y=0.50x+15               (hope this made sense)

Mark and his brother signed up for the Catch Up phone plan. They share the minutes every month equally. How many minutes can Mark use each day without going over his share​

Answers

Answer:

12 minutes.

Step-by-step explanation:

Need help. Image is attached below.

Answers

Answer:

A

Step-by-step explanation:

the only bracket that gives you x=-4 is the first one, the other one is only if the value is above -4

filling in the top one you get [tex]\sqrt[3]{5-4}[/tex] which equals 1

Find the value of x.




i need help

Answers

Answer:

1. x=7

2. x=6

3. x=6

4. x=4

5.x=70 degrees

6. x=75 degrees

Step-by-step explanation:

My answers may not be correct.


Round the numbers to estimate the quotient.
29 1/5 divided by 4 6/7
Which numbers should be used?
____divided by____
The estimated quotient is:

Answers

Answer:

29.2 divided by 4.9 = 6.0

Step-by-step explanation:

29.2 divided by 4.9 = 5.95918367

5.95918367 → 6.0

Key:

→ = rounded to the nearest tenth

Answer:

29 ÷ 5 the estimated quotient is 5 4/5

Step-by-step explanation:

I took the test (;

Maria played a game with her little sister for 2/5 hour and read her little sister a book for 5/8 hour.

What is the best estimate for the total time Maria spent with her little sister?

Drag and drop an answer into each box to correctly complete the sentences.

​2/5​ hour is closest to . 5/8​ hour is closest to . Therefore, the best estimate for the total time Maria was with her sister is close to .

Answers

Answer:

Step-by-step explanation: 60÷8=7.5x5=37. 5

60÷5=12x2=24

24+37.5=61.5

It was exactly 61 minutesand 50 seconds

Answer:

60÷8=7.5x5=37. 560÷5=12x2=2424+37.5=61.5It was exactly 61 minutes and 50 seconds

Step-by-step explanation:

How many 2/3 cup servings are in 6 cups of cereal?
giving brainliest

Answers

Answer:

its 4

Step-by-step explanation:

9 servings (6 divided by 2/3 is 9, and 9 times 2/3 is 6)
Hope this helps!

Each student was asked to create an expression whose quotient is 1/3. Each student and their response can be seen in the table below. Which students have answered correctly? Select all that apply. A. Angela B. Ben C. Chris D. Denice E. Elizabeth

Answers

Answer:

Pretty sure its Chris

Step-by-step explanation:

I've done this work and the only one with the answer is him.

When a number, half of the number, and a third of the number are added together, the
sum is 275. Find the three numbers.

Answers

Step-by-step explanation:

Let the number be x.

Half of a number is x/2 and a third of the number is x/3

ATQ,

[tex]x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150[/tex]

Frist no is 150

Second no is 150/2 = 75

Third no is 50

what is 69 to the power of 69

Answers

Answer:

goobaaaaa

Step-by-step explanation:

Answer:

7.59604031⋅10 to the power 126

Step-by-step explanation:

Rotation is a ______?

A. Spin or turn
B.slide
C.mirror or flip
D.move

HURRY PLEASE

Answers

Answer:

A) Spin or turn

Step-by-step explanation:

Find g(6) when g(x) = x2-5

Answers

Answer:

g(6) = 31

Step-by-step explanation:

If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.

g(6) = 6^2 - 5

g(6) = 36 - 5

g(6) = 31

Answer:

g(6)=31

Explanation:

We are given the function:
g(x)=x^2-5
We want to find g(6), therefore we should substitute 6 in for each x in the function.
g(6)=(6)^2-5
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Evaluate the exponent. 6^2 is equal to 6*6 which is equal to 36.
g(6)=36-5
Subtract 5 from 36.
g(6)=31

g(6) is equal to 31 for the function g(x)=x^2-5

On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.

Answers

Answer:

The angular velocity is 8.38 radians per minute

Step-by-step explanation:

From the question,

It takes 45 seconds to complete a full revolution,

That is, 1rev/45secs

First, we will convert this to revolutions per minute (rev/min)

1rev/45secs = [tex]\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}[/tex]

= 4/3 rev/min

Now, we will convert this to radians per minute (rad/min)

1 revolutions = 2π rad

4/3 rev/min = [tex]\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}[/tex]

= 8.38 rad/min

Hence, the angular velocity is 8.38 radians per minute

The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Answers

Answer:

D. Ryan found the Least Common Multiple

Answer :

D - Ryan found the least common multiple.

A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes. PLEASE HELP will mark as Brainliest

Answers

Answer:

$225.

Step-by-step explanation:

Let the  price before taxes be x dollars. Then we have the equation:

x + 7% of x = 240.75

x + 0.07x = 240.75

1.07x = 240.75

x = 240.75/1.07

= $225.

Which degree of rotational symmetry does this figure have


Answers:

A: 120

B:90

C:180

D:270

Answers

Answer:

A:120

Step-by-step explanation:

Well it's not B or C or D so the logical conclusion is that it must be A.

if r= .75, this indicates??​

Answers

This tells you two things
1-r is positive, so grade school performance and Regents exam score tendto increase and decrease together.
2-r is fairly close to 1, so the direct relationship is fairly strong.


Which of the following angles are congruent?

Answers

Answer:

angle B and angle f

Step-by-step explanation:

im not all that smart but goodluck

There is a proportional relationship between a volume measured in cups, c and the same volume measured in tablespoons, t.
3 cups are equivalent to 48 tablespoons.
What is the constant of proportionality for this relationship? What does this mean in terms of volume measured in cups, c and the same volume measured in tablespoons, t?

Answers

Answer:

We really need help someone please help us

Step-by-step explanation:

-7⅔+(-5½)+8¾ helpp mee

Answers

Answer:

Ughhhhhhhhh harder daddy

Step-by-step explanation:

First you let him put the penis in the hole

One class is selling tickets for $2.50 each and has already raised $350.
• The other class is selling tickets for $3.00 each and has already raised $225.

Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

Answers

Answer:   2.5t + 350 = 3t + 225

t = 250 btw

Answer:

b

Step-by-step explanation:

b

The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Answers

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

Can someone help me please

Answers

Answer:

i cant see the picture

Step-by-step explanation:

Please help, thank you

Answers

Answer:

1.

8x + 6y = 28

9x + 3y = 39

Set to equal y.

8x + 6y = 28

6y = -8x + 28

y = -8/6x + 28/6

y = -4/3x + 14/3

9x + 3y = 39

3y = -9x + 39

y = -9/3x + 39/3

y = -3x + 13

Set equal to each other.

-4/3x + 14/3 = -3x + 13

Combine like terms.

5/3x = 25/3

Multiply by 3/5

x = 5

Plug x in.

y = -3(5) + 13

y = -15 + 13

y = -2

(5, -2)

2.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

y = -7/9x + 33/9

y = -7/9x + 11/3

Set equal to each other

-2/9x + 1/3 = -2/9x + 1/3

0 = 0

infinitely many solutions

The model below is used to represent the area of a
square with a side length of /64 units.

Answers

8. Hope this helpsssss

Answer:

8

Step-by-step explanation:

Because you can count the squares on the side or you can just do the square root of 64.

in a group of 120 students,68 had riddena bus,78 had ridden the LRT,20 had riddenthe bus and the jeep ,19 had ridden the LRT and the jeep and 15 had ridden the bus,the LRT and the jeep.

a.how many had ridden the bus only?
b.how many had ridden the LRT only?
c.how many had ridden the jeep only?
d.how many did not ride on any of the three modes of transportation?​

Answers

Answer:

180

Step-by-step explanation:

Examine this algebraic expression:

3x
4
− 2y +
3
7

What are the variables?
What are the coefficients?
3x/4 and –2y
What is the constant?

Answers

Answer:

C/ x and y

A/-2 and 3/4

B/ 3/7

Step-by-step explanation:

i got it right

The variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

What is the algebraic expression?

Algebraic expressions are mathematical statements that comprise at least two variables or integers.

What are arithmetic operations?

Arithmetic operations can also be described via subtracting, dividing, and multiplying built-in functions.

We have been the given algebraic expression as :

⇒ 3x/4 − 2y + 3/7

Here variables are x and y

The coefficients are -2 and 3/4

The constant is 3/7

Therefore, the variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Which ordered pair is a solution of 3x - 4y < 1

A, B, C, or D?

Answers

It is B because if you put (4,3) in the equation it gives 0. So 0<1. It is the only one possible

The probability of an event must have what value?

Answers

Answer:

The probability of an impossible event is 0. The probability of a possible event is 1.

Step-by-step explanation:

I don't know if this is correct but I do hope this helps either way.

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Daemyn recited forher the mantra ingrained into his soulWhen those of pure and simple heartPresent to her a selfless plea,A black stone wall will break apartRevealing great Sima to thee!""They call it a legend for a reason, Daemyn. Howcan you even think about leaving at a time like this?""I am determined to find her Paulina. WithoutSima's cure, mother will not live! I refuse to just sitaround and watch her die.Daemyn's brief stay in the town of Kimba, however,had renewed his hopes. The villagers had told him of amysterious black wall roughly five miles northeast. Afterfruitless conversations with countless strangers,Daemyn had finally found direction.The wall should be just beyond this next cliff.Racked with anticipation, Daemyn quickened his pace.His legs burned from the steep climb.As if the gods were testing him, the heavy overcastsky suddenly let loose a blizzard, but Daemyn refusedto let the blinding snow hinder him. 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