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:

The school is 1.5 miles away from Jonathan's home

Step-by-step explanation:

Let D be the distance remaining after 1  mile

We are given that 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.

So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance

Speed of Jonathan bike = 15 mph

Speed of Mother's bike = 25 mph

So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]

25D=15D+15

10D=15

D=1.5

So, the school is 1.5 miles away from Jonathan's home


Related Questions

Which list shows all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 8, 9, 12, 18, 36
2, 3, 4, 6, 9, 12, 18
2, 4, 6, 8, 9, 12, 18

Answers

Answer:

#1

Step-by-step explanation:

Answer: 2, 3, 4, 6, 9, 12, 18
Hope this help
God bless

Give the place of the digit 1 in 296,518.4
296,518,417

Answers

Answer:

296,518.4 the one is in the tenths place sunce it's after the decimal

296,518,417 the first 1 in 518 is in the tenths place but the 2nd .. 1 is in the tens place bc no decimal

10 Brynlee's monthly cell phone bill
is $60 a month plus $2.50 per
gigabyte used. Raylin's cell phone bill is $450
per month plus $3.25 per gigabyte used.
Determine after how many gigabytes used
would the cell phone plans cost the same
for the month what is the answer??

Answers

Answer:

20 gigabytes

Step-by-step explanation:

Let n represent the amount of gigabytes used.

First make an equation for each senario, Brynlee's would be 60+2.50n and Raylin's would be 45+3.25n.

Set them to equal each other, 60+2.50n=45+3.25n.

Then isolate for n.

60-45=3.25n-2.50n

15=0.75n

Divide both sides by 0.75 to get 20

PLEASE HELP QUESTIONS ARE BELOW FIRST TO ANSWER WILL BE VOTED BRAINLIEST

Answers

Answer:

1. 7.5

2. 7

3. 8

4. 1.44

5. 2

6. 4

Step-by-step explanation:

Use cross multiplication and then divide by the coefficient of x.

Here is how to solve number 1. Solve the rest of them like this.

2.5(15) = 5x

37.5 =5x

5         5

x=7.5

Please mark me brainliest and I hope this helps.

Answer:

1. x = 7.5

2. x = 7

3. x = 8

4. x = 1.44

5. x = 2

6. x = 4

Step-by-step explanation:

All you have to do is cross multipy and then solve.

find the length indicated​

Answers

Answer:

ST = 5

Step-by-step explanation:

RT = 7

Subtract the RS, which is 2.

You get, ST = 5.

15+6x=45+8x
what does x equal

Answers

Answer:

X=-15

Step-by-step explanation:

Do simple math

Answer:

-15=x

Step-by-step explanation:

15 + 6x = 45 + 8x

       -6x            -6x

15 = 45 + 2x

-45   -45

-30 = 2x

/2       /2

-15 = x

Hope this helps!

Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?

Answers

Answer:

Step-by-step explanation:

If she has 84 candles and 48 holders, we can write out the factors of both values as shown

For candles

84 = 2×2×3×7

84 = 12×7

For 48

48 = 2×2×2×2×3

48 = (2×2)×(2×2×3)

48 = 4×12

48 = 12×4

From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12

The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.

Please help me solve this problem please

Answers

Answer:

x=11

Step-by-step explanation:

5x-6x-3=25-3x

5x+3x-6x=25-3

2x=22

x=11

Simplify 9 to the 2nd power/ 9 to the 7th power

Answers

Answer:

9^2=81, 9^7=478,296,9

1/3 (d +4)-9 = 1/2(6-d)-4

Will mark as brainliest and 50 points will be given

Answers

Answer: 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 1/2d to both sides.

Step 3: Add 23/3 to both sides.

Step 4: Multiply both sides by 6/5.

d=8

3x-100 what does x equal?

Answers

Yes it’s 33.33 repeating

Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has

$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for

writing the check?

Answers

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

What is 65% of 186. Round to the nearest tenth if necessary

Answers

Answer:

120.9

Step-by-step explanation:

Pls give Brainliest!

65% of 186 is exactly 120.9

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?

Answers

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

[tex]8=\underline{2}\times 2\times 2[/tex]

[tex]22=\underline{2}\times 11[/tex]

Common is 2.

Therefore the LCM will be:

[tex]2\times 2\times2\times 11 = \bold{88}[/tex]

So, the answer is 88 s.

Help Me need help please it is due today please help ASAP

Answers

There are 47 minutes for soccer.

Answer:

87

Step-by-step explanation:

you subtract 3:32-2:45

Four pounds of apples cost 3.88. what is the price per pound
I need this done asap!!!!
WILL give brainliest!

Answers

Answer:

0.97 cents

Step-by-step explanation:

4/3.88=0.97

price per pound=0.97 cents

BRAINLIEST APPRECIATED!

HOPE YOU ARE HAVING A GOOD DAY!

1. Which of the following is a pair of parallel lines? W = 1/4x - 7 V=1/44+2 W = 4x - 7 V = 1/4x + 2 W = 1/4x - 7 V= 1/4x + 2 W = 4x - 7 V = -4x + 2 C​

Answers

V=1/4x+2 and W=1/4x-7 are parallel because they have the same slope and different y-intercepts.

Use the diagram to find the measures of all the angles, given that m< 1 = 76°

Answers

Answer:

m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,

Step-by-step explanation:

360°

m< 1 = m< 3 → 76° (76°*2 = 152°)

360° - 152° = 208°

208°/2 = 104°

m< 2 = m< 4 → 104°


Borrow $1,500 at an interest rate of 5% for one year for a total repayment of

Answers

Answer:

1680

Step-by-step explanation:

1500÷100=15

15x12 months =180

1500+180=1680

y−1=−2(x−2) in slope intercept form

Answers

Answer:

[tex]y = - 2x + 5[/tex]

Step-by-step explanation:

Simply simplify the equation from what it is to the slope intercept format:

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

Step-by-step explanation:

Hey there!

We know;

The slope intercept form of equation is;

y = mx+c

So, let's try to take it in this form.

(y-1) = -2(x-2)

Multiply -2 and (x-2)

(y-1) = -2x + 4

Take '-1' to right side.

y = -2x+4+1

y = -2x+5

Therefore, the equation is y = -2x+5.

Hope it helps...

help please! show your steps please​

Answers

Answer:

x = -9

Step-by-step explanation:

To solve the equation

Simplify each sideSeparate the variable on one side and the numerical term on the other sideMake the coefficient of the variable equal 1

Let us do these steps with our question to find x

∵ 4(2x + 7) = 12 - 2(10 - 2x)

→ Simplify each side

∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)

8x + 28 = 12 - 20 + 4x

→ Add the like terms in the right side

∵ 8x + 28 = (12 - 20) + 4x

8x + 28 = -8 + 4x

→ Subtract 28 from both sides

∵ 8x + 28 - 28 = -8 - 28 + 4x

8x = -36 + 4x

→ Subtract 4x from both sides

∵ 8x - 4x = -36 + 4x - 4x

4x = -36

→ Make coefficient of x equal 1 by dividing both sides by 4

∴ [tex]\frac{4x}{4}=\frac{-36}{4}[/tex]

x = -9

How many times larger is 22700000 than 925000

Answers

Answer:24.54054 times larger

Step-by-step explanation: Divide 22700000 by 925000 and it gives you 24.54054 in the calculator

Which term is coefficient of 1?

Answers

Answer:

the first one.

Answer:

k^7

Step-by-step explanation:

As there is nothing in front of it that means the  coefficient is 1

:)

easy?

3x−8≤23 AND −4x+26≥63,

Answers

How you want this solved?
I wrote the answer out for you.

-16 > -f, if f = 15
True or falsehood

Answers

Answer:

false

Step-by-step explanation:

15 is a larger number than -16

whats the mode 40 41 41 44 44 37 38 42 41 39 44 39 37 44 42

Answers

Answer:

44

Step-by-step explanation:

The mode is the number that appears most of the time, so it is 44.

The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?

A. the input when the output is zero

B. the output when the input is zero

C. the input when the output is 1

D. the output when the input is 1

Answers

Answer:

B

Step-by-step explanation:

got stuck on it too lol

The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.

What is perimeter?

Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

Since sum of side lengths of the triangle of vertices: 3

Area: ½ × base × height

Number of edges: 3

Internal angle: 60° (for equilateral)

The Sum of interior angles is 180°

Therefore, the coordinates of the intersection indicate will be;

B. the output when the input is zero.

Learn more about perimeter here:

https://brainly.com/question/10466285

#SPJ2

Divide n by 5 then add 6

Answers

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.

Answers

Answer:

f(-7) = 34

Step-by-step explanation:

If f(x) = -5x - 1, then . . .

f(x) = -5x - 1

f(-7) = -5(-7) - 1

       = 35 - 1

       = 34

. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.

What is y= 1/3x+2 equal to as a slope?

Answers

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years  bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

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