A man walks (12x^2+11x+2) km for (3x+2) hours. What is his speed per hour?

Answers

Answer 1

Step-by-step explanation:

Hey there!

Distance = 12x^2+11x+2.

And Time = 3x+2 hours.

Now;

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

Put all values.

[tex]s = \frac{12 {x}^{2} + 11x + 2}{3x + 2} [/tex]

Use mid term factorization is numerator and simplify them to get answer.

[tex]s = \frac{12 {x}^{2} + (8 + 3) x+2 }{3x + 2} [/tex]

[tex]s = \frac{12 {x}^{2} + 8x + 3x + 2 }{3x + 2} [/tex]

[tex]s = \frac{4x(3x + 2) + 1(3x + 2)}{(3x + 2)} [/tex]

[tex]s = \frac{(4x + 1)(3x + 2)}{(3x + 2)} [/tex]

[tex]s = (4x + 1)[/tex]

Therefore the speed is (4x+1)/hr.

Hope it helps..


Related Questions

solve the equation x to the power of 2 equals 10​

Answers

√10=3.16227766017..

Hope it helps..TQ

i will give you brainliest!

Answers

if the whole is 85 and the other part is 55 85-55= 30 answer is 30

The segments shown below could form a triangle.
True or False​

Answers

Answer:

False

A triangle must have two equal segments and an uneven segment.

This has three different segments that are different sizes.

These segments can not form a triangle. The answer is false.

Hope it helps!

Answer:

False A triangle must have two equal segments and an uneven segment.

This has three different segments that are different sizes.

These segments can not form a triangle. The answer is false.

Step-by-step explanation:

Determine if the relation is a function. In your handwritten work, explain why or why not.

y = 0.5x - 6

Answers

Answer:

  is a function

Step-by-step explanation:

The relation is a polynomial. Every polynomial is a function, so the relation is a function. (Each value of x produces a single corresponding value of y.)

If you are paid $2.20 an hour, worked for 26 hours this
week, and your tips totaled $80, what was your gross pay?

A)$145.68
B)$158.46
C)$137.20

Answers

Answer:

C) $137.20

Step-by-step explanation:

Come up with the equation, mine looks like

2.20 x 26 + 80 = a

And then solve.

a = 137.20

(btw a is just a random variable, it could've been y or even x)

Marian buys a dress that costs $32.00. She pays 10%
sales tax.
How much does she pay for the dress, with tax?

Answers

Answer:

$35.20

Step-by-step explanation:

Answer:

$35.20

Step-by-step explanation:

Help please ASAP don’t have much time ..

Answers

Answer:

64

Step-by-step explanation:

add all the numbers together

Answer:

the answer is 64

Step-by-step explanation:

add all the numbers together

All Things Algebra), 2013
After falling 17°, the
temperature of the lake
is now 24. What was the
starting temperature?(Write an equation to represent the problem)

Answers

Answer:

43°

x-17=24

Step-by-step explanation:

the tempertaure fell 17° and now its 24° so to get there you would have to subtract

x-17°=24°

43°

during one day ,the temperature in circle city rose from -5° to 7° how many degrees did the temperature rise?

Answers

Answer:

13 degrees, I think.

Step-by-step explanation:

On a number line -5 is to the left, so you'd count over to the right until you got to 7 which would result into your answer being 13. (not 100% sure)


How do I do #1 ? Help!!

Answers

1) First find the multiplier.

Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.

2)Ask how do we get from 5 to 3?

We subtract 2 so the multiplier is -2

3)Lets make a linear equation: y=mx +b

m= multiplier or slopex= Just equals x valueb= your starting value or the 0 term which is 5

4)Use the values that you have to create your equation.

y=-2x +5

Note:For the x value just plug in the x value from your table.

Ex.

y=-2(-10)+5y=20+5y=25

I need this by today please and thanks
3m/2/3 = 7 what is m?

Answers

Answer:

m=14

Step-by-step explanation:

Step 1:

           m

Simplify   —

           2

Equation at the end of step 1 :

      m          

 (3 • — ÷ 3) -  7  = 0  

      2          

STEP 2 :

        m      

Divide  —  by  3

        2      

Equation at the end of step 2 :

      m      

 (3 • —) -  7  = 0  

      6      

STEP 3 :

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        7     7 • 2

   7 =  —  =  —————

        1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m - (7 • 2)     m - 14

———————————  =  ——————

     2            2    

Equation at the end of step

3

:

 m - 14

 ——————  = 0  

   2    

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 m-14

 ———— • 2 = 0 • 2

  2  

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  m-14  = 0

Solving a Single Variable Equation:

4.2      Solve  :    m-14 = 0  

Add  14  to both sides of the equation :  

                     m = 14

One solution was found :

m = 14

what is the keyword to look for that help you identify where to put the variable?​

Answers

Answer:

the independent variable goes on the x-axis (the bottom, horizontal one) and the dependent variable goes on the y-axis (the left side, vertical one).

Step-by-step explanation:

What is 11x - 3 = 5x + 11

Answers

11x - 3 = 5x + 11

11x - 5x = 11+3
6x = 14
x = 14/6 =7/3

I need help ASAP
Solve 2(x + 1) = 2x + 5. All real numbers No solution 0 3​

Answers

Answer: No solution 0=3

Step-by-step explanation:

2(x+1)=2x+5

Step 1: Simplify both sides of the equation.

2(x+1)=2x+5

(2)(x)+(2)(1)=2x+5(Distribute)

2x+2=2x+5

Step 2: Subtract 2x from both sides.

2x+2−2x=2x+5−2x

2=5

Step 3: Subtract 2 from both sides.

2−2=5−2

0=3

Answer:

There are no solutions.

Answer:

B: There are no solutions

Step-by-step explanation:

please help help help help help ​

Answers

Answer:

Draw the number line and tge answer is at 3

Answer:

x<3 1/9

Draw an open circle above 3 1/9 with a line going to the left.

Step-by-step explanation:

x+2 1/2>4x-6 2/3

2 1/2+6 2/3>4x-x

2 3/6+6 4/6>3x

9 2/6>3x

(9 1/3)/3>x

3 1/9>x

x<3 1/9

Draw an open circle above 3 1/9 with a line going to the left.

What is the messer of x

Answers

The second one, B 64
If you subtract 90 - 26 you would get 64

Answer: B

Brian had a gross weekly paycheck of $780 last week. Brian worked 7 hours for 5 of the days and 8 hours on 1 day. What was Brian’s hourly rate of pay?

Answers

Answer:

52 an hr

Step-by-step explanation:

Find the sum or difference:

12x+2y-x+10y

Please solve

Answers

Answer: 11x + 12y

Step-by-step explanation:

Step 1: Just combine like terms

12x + 2y + - x + 10y

(12x + -x) + (2y + 10y)

= 11x + 12y

Answer:

you collect like terms

i.e 12x-x+2y+10y

13x+12y(sum)

Simplify the following expression: 3x - 5x - 7y + 9x + 4y =

Answers

Answer:

7x-3y

Step-by-step explanation:

3x-5x-7y+9x+4y

3x-5x+9x-7y+4y

7x-3y

Marco walked 27/100 kilometers to the park. Then he walked 3/10 kilometers to the library. What fraction of a kilometer did he walk.

Answers

Answer:

57/200 Km

Step-by-step explanation:

3/10*10= 30/100

30/100+27/100=57/200km

help please with manipulating fractions URGENT!!!!!!!!!!

Answers

Answer:

1: x=y-3    linear equation : y=x+3

2:y=-2x-3  linear equation : y=-2x-3

3: -4y+6 =2 linear equation : y=2-6/-4 ⇒ y=1

4:2/3 x-1/3y=2 , linear equation : y=2x-6

 -1/3 y=2-2/3 x

 y=-6+2x

13: 5x+25=y² not linear

y = √5x+25

14 : 8+y=4x linear y=4x-8

15: 9xy-6x=7 not linear

16: 4y²+9=-4 ⇒ y²=-4/4 -9/4 ⇒y=√-1-2.25 ⇒y=√-3.25 not linear

17: 12x=7y-10y  linear : y=12x/-3 ⇒ y=-4x

18:y=4x+x linear y=5x

represents the inverse of the function f(x) = 4x?

Answers

Answer:

F(x)= 4x

y=4x

now, switch the variables

x= 4y

simplify the equation so that y is by itself. Divide each side by 4

x/4= y

or f(x)= x/4 is the answer

Step-by-step explanation:

Answer:

x/4 = f(x)

Step-by-step explanation:

First you put Y in for f(x)

1. y=4x

Then you flip x and y so you are solving for x

2.x=4y

Now, you divide by 4 to solve

3. x/4=y

A ball is dropped from a height of 25feet and allowed to bounce until it comes to a rest. Each time the ball bounces it rebounds to 4/5 of its previous height

Drag tiles to create an equation you could use to find the height to which the ball rebounds after it hits the floor the third time,h3

H3= ...•... ...
3,4,4/5,25

Answers

Answer:

[tex]H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Height =25[/tex]

[tex]Rebound = \frac{4}{5}[/tex]

Required

Determine the height at the third rebound

At first rebound;

[tex]H1 = 25 * \frac{4}{5}[/tex]

Second rebound

[tex]H2 = 25 * \frac{4}{5}* \frac{4}{5}[/tex]

Third rebound

[tex]H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}[/tex]

Hence; the equation is:

[tex]H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}[/tex]

Solving further;

[tex]H3 = 12.8\ ft[/tex]

Question 3
1 pts
A bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is
randomly drawn.
Find P(blue).
75%
33%
25%

Answers

Answer: C) 25%

Explanation:

There are 7 blue out of 5+7+6+10 = 28 chips total.

7/28 = 1/4 = 25/100 = 25% is the probability of pulling out a blue chip.

in order to make some extra money in the summer you water your neighbors lawn and walk their dog.your neighbor pays you $5 each time you walk the dog and $6 each time you water the lawn . when you do both jobs on the same day she gives you an extra $3 , on june 1, you dont have to complete either job, because your neighbor did them bith the day before . if you worked for your neighbor from june 1 to july 20 (thre are 30 days in june and 31 days in july), how many times would you do both jobs on the same day? How much in total would you earn from your neighbor from june 1 to July 20th?

Answers

Complete question :

In order to make some extra money in the summer, you water your neighbor's lawn and walk their dog. You water their lawn every 6 days and walk the dog every 4 days. Your neighbor pays you $5 each time you walk the dog and $6 each time you water the lawn.When you do both jobs on the same day. she gives you an exrta $3. On june 1, you dont have ro complete either job, because your neighbor did them both the day before. if you worked for your neighbor from june 1 to july 20 ( there 30 days in june and 31 days in july ), how many times would you do both jobs on the same day ? how much total money would earn?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Watering lawn (L) = $6

Walking a dog (D) = $5

Watering lawn and walking a dog = $(6+5+3) = $14

Lawn is watered every 6 days

Dog is walked every 4 days

Working between June 1 to July 31st:

Last time neighbor did both chores = may 30

how many times would you do both jobs on the same day?

Both jobs were done 4 times on the same day between June 1 to July 30

How much in total would you earn from your neighbor from june 1 to July 20th?

Dog walk = (8 * $5) = $40

Watering lawn = (4 * $6) = $24

Both chores = (4 * $14) = $56

$(40 + 24 + 56) = $120

you don't have to show your work I just need the answer

Answers

Greetings! Hope this helps!

Answer

216

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

A =216 ft^2 ft^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2(24) *18

A =216 ft^2

Consider the expression 3n4 − 5n3 + 9. What is the coefficient of n3?

Answers

Answer:

The coefficient of n sub 3 will be the -5.

-37 = -4y -1
Some one help me plzzzz

Answers


Move variable to the left-side and change the sign

4y=-1+37

4y=36

Y=9

Please answer this question

Answers

answer is 7

plug in 4 for x in the g(x) equation and get 3, plug in 2 for x in the h(x) equation and get -4. then, 3-(-4)=7 because two negatives equal a positive

A rectangular fish tank is 60.00 cm long, 200.00 mm wide, and 200.00 m deep.

a) what volume of water can it hold?

b) what is the mass of the water?

Answers

A) V=lxwxh
V = 60.00 cm x 200.00 mm x 1 cm/10 mm x 200.00 m x 100 cm/m
V = 2.400 x 107 cm3
Answer is 2,400 x 107 cm3


(B) D = M/V
M = D x V = 1.00 g/cm3 x 2.400 x 107 cm3 = 2.40 x 107 g
Answer is 2.40 x 107 g
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