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:

Let the distance be x

Then Jonathan biked for

x/15 hours

His mother drew for

x/25 hours

The time difference is

1/15 hours

So we have

x/15 - 1/15 = x/25(x - 1)/15 = x/2515x = 25x - 2525x - 15x = 2510x = 25x = 25/10x = 2.5 miles


Related Questions

• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?

Answers

Answer:

15

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

             

Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV

Answers

3x-4y=16

add 4y to both sides

3x=4y+16

divide both sides by 3

x=(4y+16)/3

Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?

Answers

Answer:

25

Step-by-step explanation:

I'm writing this to get to the 20 character minimum

Answer:

26 Questions

Step-by-step explanation:

What Is The Slope Of the Line

Answers

Answer:

2/2.5 or 3/4 I pretty sure that's right

I have 4 and 11/12 . how much do i need to add to get 6 and 1/2

Answers

Answer:

= 1 7/12

Step-by-step explanation:

6 1/2 - 4 11/12 =

6 6/12 - 4 11/12 =

5 18/12 - 4 11/12 =

=1 7/12

To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12

4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2

Hope this helps and pls do mark me brainliest if you can:)

Joey wants to save up enough money to buy a new baseball bat that costs $200. He already has $50. If Joey makes $40 per week, write an inequality that represents the number of weeks (w) until he will have enough money?

Answers

Answer:

50+40w=200

Step-by-step explanation:

200-50=150

150 divided by 40=3.75 so 3 1/2 weeks

Can someone please help me?

Answers

Answer:

4

Step-by-step explanation:

It is 4 because there are 4 pea pods with 3 peas in each pod.

Answer:

2

Step-by-step explanation:

Solve for I.
-30 = 5(x + 1)

Answers

Answer:

x or I=-7

Step-by-step explanation:

I need help Type fast

Answers

yeah i can help u out on how u can get answers for math go check out m a t h w a y

How do you write -4.50 as a mixed number

Answers

Answer:

-9/2

Step-by-step explanation:

prime factorization of 45 expanded form

Answers

The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.

If this was helpful I strongly encourage making me Brainliest!

can someone explain to me how to do this

Answers

Answer:

x=45

Step-by-step explanation:

We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.

Answer:

y = 18

x = 46

measures of the angles:

8y - 102 = 42

2y + 6 = 42

3x = 138

Step-by-step explanation:

So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is,  they will have the same measure.

Using this we know that opposite angles have to be congruent:

so

(2y + 6) = (8y -102)

now there is an algebra equation that can be solved by inverse operations and simplifying

2y + 6 = 8y - 102

    +102      +102

2y + 108 = 8y

-2y             -2y

108 = 6y

/6        /6

18 = y

Also, remember that two adjacent angles that form a line will add up to 180,

so

3x + (2y + 6) = 180

*note: I could have also used (8y - 102) but I choose to use (2y + 6)

so now substitute in the value of y that was found

y = 18

3x + (2 * 18 + 6) = 180

simplify

3x + ( 36 + 6) = 180

3x + 42 = 180

now use inverse operations

3x + 42 = 180

     -42     -42

3x = 138

/3      /3

x = 46

Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours

Answers

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°​

Answers

Answer:

A

Step-by-step explanation:

Answer will be
D. 130

Can you please answer this my homework is due ✨

Answers

2:1100
3:1650
6:3300
It is all multiplying with the number 550

A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds

Answers

Answer:

8034

Step-by-step explanation:

C'mon!!.... easyyyy

309x26 =8034

OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1

Answers

Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.

Table 3 is not a function because there is more than one input for each output.

Table 4 is an exponential equation with the equation y = 4x^2

Table 5 is not a function for the same reason as table 3.

Answer:

Yes! The answer is A and B. Or the 1st and 2nd ones.

Step-by-step explanation:

This is it if you can’t solve it it’s fine!

Answers

Answer:

is 115

Step-by-step explanation:

i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think

Absolute value is DISTANCE. How many units a number is away from zero.

a.) 3
b.)4
C.) -3
d.) -4

Answers

I believe it is B) 4

The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.

You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9

Answers

Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?

Answers

Answer:

"as x increases infinitely, the y-values are continually doubled for each single increase in x".

Step-by-step explanation:

Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".

for example let y = f(x) so thet y = 2x

for every va;ues of x, y will be doubled as shown;

If x = 1

y = 2(1) = 2

If x = 2

y = 2(2) = 4

If x = 3

y = 2(3) = 6

I can be seen that the value of y doubles for all values of x hence making her first statement accurate.

The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.

Her conclusion is not also right because there are  limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

PLEASE HELP, IM NOT SURE!!!


The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles

Answers

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

SHCIUWU SIU SIJSJSH USIABSBNJSSJJAKJAH YUJJU

Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W

Answers

Answer:

D.

Step-by-step explanation:

D. 60 + 12w = 95 + 7W

I dont understand this, plz help, will mark Branliest!

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11

Answers

X will equal 11

Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11

please help me with this.

Answers

Answer:

I think ans-d is the answer

Step-by-step explanation:

plz mark me as brainlist

If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2

Answers

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]

Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?

Answers

Answer:

Step-by-step explanation:

Multiply both numbers by 4. That is your new coordinates. (12,-20)

What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.

Answers

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

Find the slope of AB through points A(1,7) and B(-1,4). m of AB=

Answers

Hi there & welcome to brainly !

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} [/tex]

Step-by-step explanation:

Given :

A ( 1 , 7 ) , B ( - 1 , 4 )

To find :

Slope = ?

Solution :

Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )

Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )

Finding the slope :

[tex] \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} [/tex]

[tex] \sf{↦ \: slope = \frac{ - 3}{ - 2}} [/tex]

[tex] \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}[/tex]

And we're done !

Hope I helped!

Best regards! :D

~TheAnimeGirl

Other Questions
Need help ASAP please best estimate for 72% of 238? y=3x-5 identify y intercept within equation A-55B-65C-75D-90 Please help meee its a test what polocies refelect the quaker belifs Which equation represents the graphed function?O y=-2x + 3O y = 2x + 3O y=*+3O y=-*x+3 Sugar plantations were Hell because of the endless labor they demanded from slaves. They were Hell because of the many dangers and the injuries that they caused. They were Hell because the slaves who labored without end got nothing for their workexcept to live another day, to work more. But none of these miseries was the true reason the plantations were so evil. The plantations were Hell because the masters and overseers were treated as godswhich turned them into devils. The English historian Lord Acton famously said, Power tends to corrupt, and absolute power corrupts absolutely. That is a perfect description of sugar Hell. Men with absolute power over their slaves acted like creatures we would otherwise meet only in nightmares. Their cruelty had no limitthey preferred to kill their slaves rather than fear them. As Equiano explained, the island of Montserrat requires 20,000 new Negroes annually, to fill 3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than onecupcake, and the total cost of the order was $53.50. What was the price of each cupcake?a) Define a variable for the cost of one cupcake.b) Write an expression to represent the cost of a layer cake.c) Write and solve an equation.d) Interpret your solution within the context of the problem. Is a thorn bug endangered? A yearbook page for Cesar Chavez states "Rememberwhen you fought for better working conditions forfarm workers?" What image would best illustrate this?an image of Cesar Chavez farming with his familyan image of Cesar Chavez leading a peacefulmarchO an image of Cesar Chavez working on a farm as aboyan image of Cesar Chavez eating with farmworkers Read the passage. As the leader of this army, I warn you King of England, if you do not surrender and return what you have taken, II will drive your men out of France. Those who refuse to leave will be killed. God has sent the Maid to remove you and your men from France. God has given her such great power that she cant be harmed. Which is the best paraphrase of the underlined text in the passage?A) Persuade English men to leave France B) Get the King of England to leave France C) Transport the English army out of France D) Fight to remove the English army from France What was an impact of the capture of New Orleans in 1862?A. The first civilians to die in the war were killed there.B. The Confederacy used it to gain control of the West.C. The Dakota Indians came to the aid of the Union soldiers.D. The Union was closer to controlling the Mississippi help to solve this equation pls 6c-d=-2 10c-3=-10 How was the idea of Rationalism different from the usual thought about religion at the time? Are great artistic achievements less admirable if they are paid in dishonest ways, such as through the sale of these special pardons? Which model of the atom has electrons traveling in specific paths around the nucleus? Bohr's model Rutherford's model Thomson's model Dalton's model Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent. Chance company had two operating divisions, one manufacturing farm equipment and other office supplies. Both divisions are considered separate components as defined by generally accepted accounting principles. The farm equipment component had been unprofitable, and on Sept. 1, 2016, the company adopted a plan to sell the assets of the division.The actual sale was completed on Dec. 15, 2016, at the price of $600,000. The book value of the division's assets was $1,000,000, resulting in a before-tax loss of $400,000 on the sale. The division incurred a before-tax operating loss from operations of $130,000 from the beginning of the year through Dec. 15. The income tax rate is 40%. Chances after-tax income from its continuing operations is $350,000.Required: Prepare an income statement for 2016 beginning with income from continuing operations. Include appropriate EPS disclosures assuming that 100,000 shares of common stock were outstanding throughout the year. A runner moves at an average speed of 3.0 m/s and covers 9.5 km. In seconds, how long does the run take? 28.5 s 29.0 s 3.16 s 3200 s The liquid inside a cell is called?