Mathematics Middle School

Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what speed does Aidan drive home?

17 mph
27 mph
32 mph
56 mph

Answers

Answer 1

Answer:

The correct option is 2.

Step-by-step explanation:

The formula form speed is

[tex]speed=\frac{distance}{time}[/tex]

[tex]time=\frac{distance}{speed}[/tex]

It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is

[tex]t_1=\frac{16}{40}[/tex]

Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is

[tex]t_2=\frac{16}{s}[/tex]

It is given that his total trip takes 1 hour.

[tex]\frac{16}{40}+\frac{16}{s}=1[/tex]

[tex]\frac{16s+640}{40s}=1[/tex]

[tex]16s+640=40s[/tex]

[tex]640=40s-16s[/tex]

[tex]640=14s[/tex]

Divide both sides by 14.

[tex]\frac{640}{24}=s[/tex]

[tex]s=26.666667[/tex]

[tex]s\approx 27[/tex]

Aidan return with speed about 27 mph Therefore the correct option is 2.

Answer 2

Answer:

B

Step-by-step explanation:

did it on edg

Related Questions

How to solve a=9y+3yx

Answers

Therefore, the equation [tex]y = \frac{a}{9 + 3x}[/tex] represents y as a function of a and x, showing how changes in a and x affect the value of y.

The given equation a = 9y + 3yx is a literal equation, meaning it relates multiple variables (in this case, a and y) with constants. Our goal is to isolate y, which means we want y to be expressed solely in terms of a and x, without any other variables.

To do this, we first factor out the common factor y from the right side of the equation, leaving us with a = y(9 + 3x). This step simplifies the equation and makes it easier to isolate y.

Then, to solve for y, we divide both sides of the equation by (9 + 3x), effectively undoing the multiplication by (9 + 3x) on the right side. This leaves us with [tex]y = \frac{a}{9 + 3x}[/tex].

In this final expression, y is in terms of a and x, indicating that the value of y depends on the values of a and x. As a and x vary, the value of y changes accordingly, following the relationship described by the equation.

Complete Question:

Solve the literal equation for y.

a = 9y + 3yx

y =

zack watches tv 3 times as much as joel. Joel watches tv 2 hours a day. how many hours a day does Zack watch tv?

Answers

Jole - 2 hours a day
Zach- 3(2) hours a day
The answer is:
6 hours a day
joel- 2 hours
zack- times 3
2x3=6.
Zack watches tv for 6hours a day

3/4 x+5− 1/2 x=3 Solve For X Need Answer Fast Please!!!!!!!

Answers

3/4x + 5 - 1/2 x=3 = -8

I believe this is the right answer :)

Answer:

8 1/5

Step-by-step explanation:

The sum of three consecutive odd integers is 72 more than the smaller integer. What are the integers? plz show work.ASAP

Answers

Let the consecutive odd no. be X, Y, and Z.
Since they are consecutive,
Y = X+2 and Z = Y+2 = X+4.
  Now,
X+Y+Z = X+72 (according to question)
Substituting,
3X + 6 = 72
3X = 72 - 6 = 66
 Therefore,
X = (66/3) = 22
Y = 24
Z = 26

name the property for x+y=y+x

Answers

it is the commutative property!
Commutative property is your answer

hope this helps

a(n+y)=10y+32 solve for y

Answers

we have

[tex]a(n+y)=10y+32[/tex]

Solve for y

[tex]a(n+y)=10y+32\\an+ay=10y+32[/tex]

Group terms that contain the variable y, and move the other terms to the opposite side of the equation

[tex]ay-10y=32-an\\ y(a-10)=32-an[/tex]

Divide by [tex](a-10)[/tex] both sides

[tex]y=\frac{(32-an)}{(a-10)}[/tex]

therefore

the answer is

[tex]y=\frac{(32-an)}{(a-10)}[/tex]

Answer:

(32-an)/(a-10)

Step-by-step explanation:

What is .86 divided by 5 minus .3 times .5

Answers

The answer is 2.2 buddy
.86÷5-.3×5= -1.328 the answer is -1.328

−30+(−40)+(−70 equivalent expression

Answers

−30−40−70

=−70−70

=−140


Answer 12 plzzzz‼️‼️ asap!

Answers

Create equal fractions to find the number of hours he used the health club for.

2/13=x/29.25

Then, simplify so that x is by itself.

(29.25x2)/13 = x
x= 58.5/13
x=4.5 hours
13/2 = 6.5
They charge $6.50 per hour
29.25/6.50 = 2925/650 = 4.5
He was in the health club for ~ 4.5 hours

hope this helps

mr. peters buys 3 1/4 pound of grapes for $4.55 what is the unit cost of the grapes

Answers

divide 3 1/4 with 4.55

alexander the great became king in 336 BB and died 13 years later. what year did he die?

Answers

323 BC. When working before Christ the more recent the year is, the smaller the number is.
323 B.C.E. because 336- 23=324 B.C.E.



How does an underestimate relate to rounding factors before estimating?

Answers

when both factors in a multiplication problem are rounded up to estimate the product, the estimate is an overestimate.

When you round up, you overestimate because now numbers are bigger than before rounding. In a similar way, when you round down, you underestimate. And, when you round down some factors and round up others, it is hard to tell whether the estimate is an overestimate or an underestimate.

True or false 6,859^1/3 can be written as square root 3 19^3

Answers

[tex]6859^{ \frac{1}{3}} [/tex]

Using the index law [tex]a^{ \frac{m}{n}} = (\sqrt[n]{a} )^m[/tex]

[tex] \sqrt[3]{6859}=19 [/tex], so we can also write this as
[tex]( \sqrt[3]{19^3} )[/tex]

Answer: TRUE

Kevin wanted to know how many minutes are in 2 years.
he set up the conversion below

365 days 24 hours 1 hours
2 years *------------ * ------------ * -----------
1 years 1 day 60 minutes

1. what did Kevin do wrong

2. what can Kevin do to fix it

Answers

Part 1
Kevin did not indicate the conversions between years, days, hours, and minutes.

Part 2
The correct calculation for the number of minutes in 2 years is
[tex]2 \, years \\ = (2 \, years)*(365 \, \frac{days}{year})*(24 \, \frac{hours}{day} )*(60 \, \frac{minutes}{hour} ) \\ = 1,051,200 \, minutes[/tex]

Answer: 1,051,200 minutes

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?

Answers

a square gives the largest area

25 yards of fence = 25*3 = 75 feet

75/3 = 25 feet

so the dimension should be 25 feet by 25 feet

 the area would be 25^2 = 625 square feet

What is 4 ÷457 long division

Answers

The answer is 114.25
0.008752735 is the right answer 

2 for $9. what is the unit price?

Answers

9/2
4.50

Hope this helped!
$4.50 is ur answer all u do is 9 divided by 2

I will give BRAINLIEST to whoever is correct.

Answers

4b/3+2 = 4-b/3

5b/3 +2 =4

5b/3 =2

5b =3*2

5b=6

b=6/5


How do you write 2.2 in word form?

Answers

2.2=22/10=2+0.2=2+2/10

so it could be said as 2 and 2 tenths
two and two-tenths
 2      .          2

I need help with math.............

Answers

Greetings!

Solve using the properties of equality:
[tex]2(x+2)=4x+1-2x[/tex]
Distribute the Parenthesis.
[tex]2x+4=4x+1-2x[/tex]
Combine like terms.
[tex]2x+4=2x+1[/tex]
There are no possible solutions.

Hope this helps.
-Benjamin

I need help -3x=x-(6-2x)?

Answers

Answer:

X=1

Step-by-step explanation:

(2*1)+(6*1/1000) write in standard form

Answers



2+1006

=1008

1000+8=1008

Hope this helps

Please show your work with each expression. Simplify.

6a - 2b^2 a=9 b=5

4d^3 + 6e^2 - 8d ÷ 2 d=2 e=3

5r^2 ÷ 4 + 4s ÷ 3r r=4 s=9

Answers

(replace the variables) 6(9)-2(5)^2
(simplified) 54-10^2.... 54-100=-46

June is working on an addition problem and starts with 17,985. After she adds she still has 17,985. Which property of addition did June use? How do u know? please help me as fast as possible im doing this right now

Answers

u start with 17,985...u add a number and the result is still 17,985. There is only 1 way this can happen and that is if the number u added was 0.

17,985 + 0 = 17,985....this is the additive identity property...which simply states that u can add 0 to a number and it still keeps its identity.

Answer:

Additive Identity

Step-by-step explanation:

Given number: 17985

Let say June added x to this no.

The result of the addition  = 17985

Result = 17985 + x

17985 = 17985 + x

Thus, x = 0.

This means that June added "0" (zero) to the number. This is additive identity. As per this property, when additive identity is added to a number, the number remains unchanged.

The sum of 17 and twice a number is 87. Find the number.

Answers

" the sum " means add

17 + 2x = 87
2x = 87 - 17
2x = 70
x = 70/2
x = 35 <==

Please help not sure on this

Answers

If I am correct, it would be dropped at -3, side adding to negative numbers make them increase to positive numbers.

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How many total employees does the company now have?

Answers

The answer would 531. You would add 18% more employees to the company so the answer is 531. I really hope this helped you. Have a nice day!

what is the value of "x" in 16^2 = x

Answers

16^2  = 16 * 16  =256

x = 256

Suppose you used the distributive property to get the expression 12x+3y-9. With what expression could you have started?

Please help.

Answers

the answer could be 3(4x+y-3)
Before using the other methods for factoring, this is the first type of factoring you should try. Basically, you’re reversing the distributive property. What you’re doing is finding the greatest common factor for all of the terms.
Examples:

Factor 2x + 4
Greatest common factor for both of the terms is 2.
2x + 4 = 2(x + 2)

Factor 4x2 + 12
Greatest common factor for both terms is 4.
4x2 + 12 = 4(x2 + 3)

Factor 5x2 + 10x + 25
Greatest common factor for all of the terms is 5.
5x2 + 10x + 25 = 5(x2 + 2x + 5)

Find the greatest common factor for 12, 3 and -9.

After playing with the numbers around, I got 3.

3(4x + y - 3)

So, 3(4x + y - 3) is the answer.

Hwong Has 39 Muffins.If each of hos Guest will Eat 2 Muffins, Hwong figures That He Can Serve Muffins To 19 Guest

Answers

That is correct because 2x19=38 which is the closest number without going over
Other Questions
Which of the following BEST describes balanced stretching?A.stretching many groups of muscles throughout the bodyB.targeting a specific muscle group for stretchingC.balancing on one hand or foot during stretching exercisesD.stretching without bouncing Who would most likely study the causes of a present-day epidemic?a.an archaeologistc.a physical geographerb.a human geographerd.a historian If you horizontally stretch the quadratic parent function,f(x) =x2, by a factor of 4, what is the equation of the new function? Which language did the Inca speak? what is the best definition for the term interest rate? Vamos brincar... si voc responder errado, ter que colocar a foto da r no seu perfil por 48 h... voc ver q ao final quase todos teus contatos tero a mesma foto... comecemos... voc est dormindo tranquilamente na sua cama quando de repente tocam a sua porta... so seus amigos!!... as 7 da manh... dizem, lanche surpresa. Voc tem em casa, nutella, marmelada, queijo, caf e leite. O que voc abre primeiro? Envie a resposta, si responder errado, te envio a foto da r . Sarah mailed her computer to Store B for repairs. Her bill was:Initial Repair Cost = $1,350Sales Tax of 7 percent = $94.50Total Cost of Computer Repair = $1,444.50Shipping = 2 percent of Total Cost = $ _______What is the cost to ship this computer from Store B? ASAP 37+23+36 whats is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you use? Monique says the model shows 7/100. Do you agree? Explain. The legs of a right triangle are 12 centimetres and 16 centimeters. What is the length of the hypotenuse? 15 centimeters 17 centimeters 20 centimeters 28 centimeters Which is the best criteria to use when classifying cells as either eukaryotes or prokaryotes? Problem page the ratio of men to women working for a company is 5 to 8 . if there are 169 employees total, how many women work for the company? What is the percent uncertainty in the area of a circle whose radius is 1.8 104 cm? What are the quotient and remainder when 6x3 + 13x2 + x 2 is divided by x 1? 4 7\12 + 2 3\4 +7 5\12 what is the tone of this poem? what does the tone reveal about the speaker of the poem and the conflict she faces? Based on this excerpt, what can you predict about the theme of poem? Two planets have the same surface gravity, but planet b has twice the radius of planeta. if planet a has mass m, what is the mass of planet b? What was the difference between new england and chesapeake colonies? solve for the indicated variable. p=+y+z for y Steam Workshop Downloader