Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)

Answers

Answer 1

Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

50x = 40x + 20

50x - 40x = 20

10x = 20

x = 20/10

x = 2

Hence,

Distance = 50 * 2 = 100

The the distance from home to work = 100 miles

Answer 2

The distance from Michael home to work is 100 miles

Speed

Speed is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Let d represent the distance from Michael home to work. Hence:

50 = d/tt = d / 50

He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:

40 = d/(t + 0.5)t = (d - 20)/40

d/50 = (d - 20) / 40

40d = 50d - 1000

10d = 1000

d = 100 miles

The distance from Michael home to work is 100 miles

Find out more on speed at: https://brainly.com/question/4931057


Related Questions

Find the area. Answer without units

Answers

I think it would be 105


19+15+32+13+26

110° 4tº + 90° t = degrees
need help please help me

Answers

Answer:

t = 5

Step-by-step explanation:

110-90 = 20

20/4 = 5

Plz answer correctly

Answers

Answer:

B)  -1,-4,-7,-10,........

The first five terms

-1,-4,-7,-10,........

Step-by-step explanation:

Explanation:-

Given that the explicit rule

           [tex]a_{n} = -3n +2[/tex]

Put n=1  

   ⇒ a₁ = -3(1) +2

       a₁  = -1

Put n=2

⇒  a₂ = -3(2)+2

      a₂ = -6+2

     a₂  = -4

Put n=3

  a₃ = -3(3)+2

  a₃ = -9+2

 a₃ = -7

Put n=4

a₄ = -3(4)+2

a₄ = -12+2

a₄ =-10

The first five terms

-1,-4,-7,-10,........

Change 3 5/8 into an improper fraction.

Answers

Answer:

The improper fraction 29/8 is equal to the mixed number 3 5/8.

Step-by-step explanation:

The fractions is solved and the improper fraction is A = 29/8

Given data ,

To change 3 5/8 into an improper fraction, we need to combine the whole number and the fraction part.

The fraction part, 5/8, can be expressed as an improper fraction by multiplying the whole number, 3, by the denominator of the fraction, 8, and then adding the numerator, 5. This gives us:

3 * 8 + 5 = 24 + 5 = 29

The denominator remains the same, so the improper fraction is:

A = 29/8

Therefore , the value of A = 29/8

Hence , 3 5/8 can be expressed as the improper fraction 29/8

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ6


Question 5
1 pts
Jason and Laura are both downloading movies and songs from a new
online company. Jason purchases 6 movies and 4 songs and pays a total of
$16.70. Laura purchases 3 movies and 4 songs for $10.85. Find the
individual price of a movie and of a song.
Movies cost [Select)
and songs cost
[ Select)
each to download.
No new data to save. Last checked at 10:32am

Answers

Answer:

movies cost $1.95 and songs cost $1.25

Step-by-step explanation:

3 times as much as the sum of 3/4 and 2/6​

Answers

Answer:

1 3/4

Step-by-step explanation:

What is the area of a square with side lengths of 3/5 units?

Answers

To find the area of a square, multiply the side length by itself, also known as sqaring the side length.We must solve 3/5 x 3/5.3/5 x 3/5 = 0.36The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.

To find the area of a square, multiply the side length by itself, also known as sqaring the side length.We must solve 3/5 x 3/5.3/5 x 3/5 = 0.36The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.Your final answer is 0.36 .

HOPE THIS HELPS!

#CARRYONLEARNING

What is the slope and y intercept of this line? y = -4x + 7

Answers

Slope is -4 and y intercept is 7. Whatever the number in front of the X is, that will always be your slope. Anything added or subtracted after the x, that’s your y intercept! Hope I helped.
7= y intercept
-4x= slope

The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?


132 units2

156 units2

168 units2

216 units2

Answers

Answer:

I believe it is 132 units but i may be wrong, im so sorry if i am! :)

Step-by-step explanation:

Answer: It would be the bottom triangle is 60 the right triangle is 36 the left rectangle is 24 and the left triangle is 12 so u add them together and get 132 units squared

Step-by-step explanation:

so its 132 units

Can someone give me the answer asap

Answers

Answer:

https://brainly.in/...,..,

Answer:

38.4895cm²

Step-by-step explanation:

area of a circle with r=7

3.142×7² = 153.958

153.958/4 = 38.4895

SOMEONE HELP ME LIKE ASAP THIS IS DUE AT 1:50pm

Answers

Answer:

4 i think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The lone line to the far left is the minimum value possible = 2.

The beginning of the box is the beginning of quartiles, but that's not what it's asking for.

Which whole numbers could be part of the solution set for the inequality below?
Prove your answers.
X + 2 > 8

Answers

Answer:

6

Step-by-step explanation:

8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest

I
Need. Dis quickly my sis will get mad

Answers

Answer:

can I see a copy of the picture? I will edit answer once I can see the picture of the gingerbread man

SOME ONE HELP MEEE ITS TIMED
This graph shows the life expectancies of people in three Central American countries.
Life Expectancies in Central America

Answers

I cant see the other graphs

Answer:

b

Step-by-step explanation:

90×10 4


please help me guys

Answers

if you mean 90 × 10⁴

then the answer would be, 900000.

but if you mean 9 × 10⁴ then the answer would be, 90000.

hope it helps.

Bye.

Jaxson buys ice cream and apples at the store. He pays a total of $24.81. He pays a total of $3.60 for the ice cream. He buys 7 bags of apples that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of apples costs.

Answers

Answer:

$3.03

Step-by-step explanation:

7x + $3.60 = $24.81

Subtract $3.60 from both sides of the equation:

7x + $3.60 - $3.60 = $24.81 - $3.60

7x = $24.81 - $3.60

7x = $21.21

Divide each side by 7:

(7x/7) = ($21.21/7)

x = ($21.21/7)

x = $3.03

The speed time graph shows the motion of toboggan as it descends a hill. Determine the acceleration of the toboggan between,
a) a and b
b) b and c
c) c and d

Answers

Answer:

B (B AND C)

Step-by-step explanation:

BECAUSE THE POINT B IS HIGH ND I SUPPOSE THAT IT IS SPEED.

Does this expression represent the sum 13.76 + 2.8?

fifteen and fifty-six hundredths

Answers

Answer:

False

Step-by-step explanation:

False becuase numbers dont add up

10 PTS

HELP PLEASE!!!

Answers

Answer:

Step-by-step explanation:

Take the square root of 25, its 5.

[tex](5-4)^3*5=1^3*5=5[/tex]

Age If you add Natalie's age and Fred's age, the result is 38. If you add Fred's age to 4 times
Natalie's age, the result is 80. Write and solve a system of equations to find how old Fred and
Natalie are
Fred is
years old. Natalie is
years old.

Answers

18 and 20?




.................

According to the video, what is a Database Administrator's main goal?
O to design databases to meet the needs of specific organizations
O to make information in database files available to workers
O to supervise workers who use databases
O to create documentation explaining databases​

Answers

Answer:

B

Step-by-step explanation:

I got it right on my assignment.

Answer:

to make information in database files available to workers

5 x (h + 3) for h = 7
Evaluate the expression

Answers

Answer:

ummm im so sorry but i forgot while answering

Step-by-step explanation:

opps

The answer is 50x
Your welcome

What is the solution to -6x = -24

Answers

x=4. Divide both side by -6 to get x by itself

Answer:

x= 4

Step-by-step explanation:

since x represent a variable. You are supposed to divide both sides by -6 to get that variable. So

-6x=-24/-6

(-24/-6 is 4)

The bionomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor

Answers

Answer:(x+3) is the other factor

Step-by-step explanation:

Answer:

(x+3)

Step-by-step explanation:

x2+8x+15

(x+5)(x+3)

Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16

Answers

Answer:

B 4x^2-16

Step-by-step explanation:

The answer is 4x^2-16

Answer:

4x^2-16

hope it's helpful ❤❤❤❤

THANK YOU.

i need a answer to this

Answers

Answer:

it is B

Step-by-step explanation:

(I am a math scientist)

B I’m pretty sure :) hope this helps

mother went to savers mall to buy disinfectant, she spent php 89.75 for an alcohol, php68. 35 for a clorox, and a pack of safe guard for php145.25 .How much she did spend on all?​

Answers

Step-by-step explanation:

enejejeiwkwkwkemenememememememe

12b – 5 = 3b
How do you solve for b

Answers

Answer:

b=5/9

Step-by-step explanation:

Hello please answer :) will give brainlst

Answers

Answer:

it will option B . hope it helps

An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?

Answers

Small chandelier be xlarge chandelier be y5x+3y=308--(1)5x+5y=430--(2)

Subtracting eq(2) from eq(1)

[tex]\\ \tt\hookrightarrow -2y=-122[/tex]

[tex]\\ \tt\hookrightarrow y=61[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]

[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]

[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]

[tex]\\ \tt\hookrightarrow 5x=125[/tex]

[tex]\\ \tt\hookrightarrow x=25[/tex]

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