Express the distance
traveled as a function of the number of hours
at an average speed.

The Morris family is traveling from Providence to Fredricksburg. Given city traffic, they will average 45 miles per hour.

Answer:

fregfrtvtrvrftew42gvfrtbhbetumoney

Step-by-step explanation:

Answer:

x=-28

Step-by-step explanation:

Step 1: Cross-multiply.

x+4

−6

=

8

2

(x+4)*(2)=(8)*(−6)

2x+8=−48

Step 2: Subtract 8 from both sides.

2x+8−8=−48−8

2x=−56

Step 3: Divide both sides by 2.

2x

2

=

−56

2

x=−28

=====================================

Work Shown:

(x+4)/(-6) = 8/3

3(x+4) = -6*8 ... cross multiply

3x+12 = -48

3x = -48-12 ... subtract 12 from both sides

3x = -60

x = -60/3 ... divide both sides by 3

x = -20

---------------------

Check:

(x+4)/(-6) = 8/3

(-20+4)/(-6) = 8/3 .... replace every x with -20

(-16)/(-6) = 8/3

(-2*8)/(-2*3) = 8/3

8/3 = 8/3 ... the '2's cancel when dividing

We get the same number on both sides, so this confirms the solution.

Answer:

5 and 24

Step-by-step explanation:

1) replace the x's with 125 | c(x)=120+4(125)/(125)

620/125=5 simplify numerator

x=5

2) replace c(x) with 9 | 9=120+4x/x

9x=4x+120 multiply both sides by x

9x-4x=4x+120-4x subtract both sides by -4x

5x=120 divide both sides by 5

x=24

so, it costs about 5 dollars per book when 125 are printed

and, if it costs 9 dollars per book, 24 should be printed

The given function for the cost of printing is a linear function that has a

fixed (set up) cost and a variable cost component.

The correct responses are;

Reasons:

Given that the function for the cost of printing x books is; c(x) = 120 + 4·x, we have;

1. The cost of printing 125 books is c(125) = 120 + 4 × 125 = 620

2. The amount the author plans to charge per book = $9

The number of books, n, that should be printed is given as follows;

[tex]\displaystyle 9 = \mathbf{ \frac{120 + 4 \times n}{n}}[/tex]

Which gives;

9·n = 120 + 4·n

9·n - 4·n = 120

5·n = 120

[tex]\displaystyle n = \frac{120}{5} = \mathbf{24}[/tex]

The number of books that should be printed, n ≥ 24 books

Learn more about linear functions here:

https://brainly.com/question/2855816

Step-by-step explanation:

2 x 2 + x - 4 = 0

4 + x - 4 = 0

+4 +4

8 0

8 + x = 0

8 8

x = 0

For the - 4 + 4 part, it cancels out because it's 0 and for the 8 divided by 8 part, it cancels out too. x is 0 because 0 divided by 8 is 0.

Hope this helped!

Answer:

is this all?

Step-by-step explanation:

9514 1404 393

Answer:

  E.  36.8 ft

  F.  59 ft

  G.  3.5 ft or 114.5 ft

Step-by-step explanation:

E. Put x=60 in the equation and do the arithmetic.

  h = -0.01·60^2 +1.18·60 +2 = -36 +70.8 +2 = 36.8

The height is 36.8 feet when the ball is 60 feet downfield.

__

F. The vertex of expression ax^2 +bx +c is x = -b/(2a). Here, that is ...

  x = -(1.18)/(2(-0.01)) = 59

The ball has traveled 59 feet downfield when it reaches its maximum height.

__

G. To find the downfield distance for a height of 6 feet, we set h=6 and solve for x.

  6 = -0.01x^2 +1.18x +2

  0.01x^2 -1.18x +4 = 0 . . . put in standard form

  x^2 -118x +400 = 0 . . . . . multiply by 100 to get rid of decimals

  x = (118 ± √(118² -4(1)(400)))/(2) = 59 ±√3081

  x ≈ 59 ± 55.5 ft = {3.5 ft, 114.5 ft}

The ball will be 6 ft high at distances of 3.5 and 114.5 ft downfield.

Step-by-step explanation:

Let x,y,z be the 3 digits of the no. in that order. It is given, x+y+z =10 …..(1)

y=x+z

Substituting the value of y in 1

x+x+z+z=10

2x+2z=10

x+z=5…….(2)

100x+10y+z+99=100z+10y+x

99x+99=99z

x+1=z…..(3)

Substituting the value z in 2

x+x+1==5

2x=4

x=2

Substituting the value of x in 3

z=3

y=5

Si the no. is 253

Answer:

253

Step-by-step explanation:

Let he the number be xyz

Since we are given that the sum of the digits is 10

So,   ---1

Now we are given that The middle digit is equal to the sum of the other two

So,   --2

Now we are given that the number will be increased by 99 if its digits are reversed.

⇒

⇒

⇒

⇒

⇒  --3

Substitute the value of x in 2

Substitute the value of x and y in 1

Substitute the value of z in 3

⇒

⇒

Substitute the value of z and x in 1

[tex]y=5/tex]

Thus the number is xyz=253

Hence the number is 253

Answer:

извините, я не могу вам помочь, я не понимаю, я говорю по-английски, а не по-русски, поэтому я действительно не знаю, как вам помочь

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Parallel lines have the same gradient while the product of the gradients of perpendicular lines is -1.

Let's find the gradient of each line first.

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]gradient \: of \: first \: line \\ = \frac{1 - ( - 2)}{3 - ( - 2)} \\ = \frac{1 + 2}{3 + 2} \\ = \frac{3}{5} [/tex]

[tex]gradient \: of \: the \: other \: line \\ = \frac{5 - ( - 6)}{5 - 4} \\ = \frac{5 + 6}{1} \\ = 11[/tex]

Product of the gradients

= 11 ×⅗

= 6.6

Since the gradients are neither the same, nor do the product of the gradients equal to -1, the 2 lines are neither parallel or perpendicular to each other.

Answer:

quotient is positive

Step-by-step explanation:

-9/-1=9 the negatives cancel out making the answer 9/1 which is 9 ur welcome hope this helps

-9/-1 = 9 (the negative signs cancel each other out)

The quotient is positive, as it is greater than zero.

Step-by-step explanation:

could you make the question full please

Answer:

D

each hour goes up by $25

Answer:

2.25 feet

Step-by-step explanation:

The length of the remaining piece of board will be 2 feet 3 inches.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide.

The length of the remaining part is calculated as below:-

10 foot = 10 x 12 = 120 inches

4 feet 7 inches = (4 x 12) + 7 = 48 + 7 = 55 inches

3 feet 2 inches = ( 3 x 12 ) +2 = 36 + 2 = 38 inches

Remaining length = 120 - 55 - 38 = 27 inches

                             = 24 + 3 = 2 feet 3 inches.

Therefore, the length of the remaining piece of board will be 2 feet 3 inches.

To know more about Expression follow

brainly.com/question/723406

#SPJ6

Answer:

Bill is 25 years old and Jenny is 29 years old

Step-by-step explanation:

Systems of Equations:

J = 4 + B

J + B = 54

Substitute J into the first equation.

4 + B + B = 54

Add like terms.

4 + 2B = 54

Isolate the variable.

4 + 2B = 54

-4            -4

2B = 50

2B/2 = 50/2

B = 25 years old

Plug in B into the second equation of the system.

J + B = 54

J + 25 = 54

Isolate the variable.

J + 25 = 54

   -25   -25  

J = 29 years old

Check your answer. Pick whatever equation in the system and plug in your answers.

J = 4 + B

29 = 4 + 25

29 = 29

9514 1404 393

Answer:

  1.63 cm (across the centerline from release)

Step-by-step explanation:

If we assume time starts counting when we release the weight from its fully-extended downward position, then the position at 1.15 seconds can be found from ...

  h(t) = -7cos(2πt/4)

  h(1.15) = -7cos(π·1.15/2) = -7(-0.233445) ≈ 1.63412 . . . cm

That is, 1.15 seconds after the weight is released from below the resting position, it will be 1.63 cm above the resting position.

__

If it is released from above the resting position, it will be 1.63 cm below the resting position at t=1.15 seconds.

Answer:

90 degrees.

Step-by-step explanation:

Answer:

the number = 8/5 or 1 3/5 or 1.6

Step-by-step explanation:

n = the number

5/2n - 11 = 4

5/2n - 11 + 11 = 5 / 2n

5/2n = 4

5/2n / 5/2 = n

4 / 5/2 = 8/5

Answer:

1) 62.5%

2) 8-x/8=y/100 (where y is the percent)

Step-by-step explanation:

1) so there’s 8 questions in total cause each question si 5 points and 40 points is the max so 40/5=8

write a proportion where 8-3/8=y/100 (it’s 8-3 because it’s total question minus the wrong questions and you’ll get the remaining points and put it over a hundred since the max score you can get is a hundred.

so 5/8= y/100

cross multiply

500=8y

Divide 8 on both sides

you’ll get 62.5

2) Jist use the equation 8-x/8=y/100

( where x is the wrong amount of questions and y is the total percent)

Answer:

1st Question the answer is 25/40

2nd Question the answer is 40-(x*5)=answer

Step-by-step explanation:

1st Answer: Multiply 3 questions by 5 points and subtract that answer from 40 and that gives us the final answer -25-

Answer:

B, C, D, A

Step-by-step explanation:

A -- 2.47 = 2.47

B -- 12/15 = 0.8

C -- √3 = 1.732050808

D -- 2 = 2

Ans: 12/15, √3, 2, 2.47

**Hope this helps!

Answer:

c hope this helps

Step-by-step explanation:

Answer:

C.-4/5

Step-by-step explanation:

(y2-y1)/(x2-x1) <--- EQUATION

Plug your numbers in and solve it (there are also slope calculators you can plug it into)

Answer:

The answer is C hope this helps

Answer:

love is...

Step-by-step explanation:

Love is complex. A mix of emotions, behaviors, and beliefs associated with strong feelings of affection, protectiveness, warmth, and respect for another person. For example, a person might say he or she loves his or her dog, loves freedom, or loves God.

Definition of love

1a(1) : strong affection for another arising out of kinship or personal ties maternal love for a child.

(2) : attraction based on sexual desire : affection and tenderness felt by lovers After all these years, they are still very much in love.

Answer:

ion no cuz

Step-by-step explanation:

Answer:

1638

Step-by-step explanation:

40 + 2 = 42

42 + 39 = 1638

Answer:

Step-by-step explanation:

xample: Simplify the ratio 6 : 10 · The factors of 6 are: 1, 2, 3, 6 · The factors of 10 are: 1, 2, 5, 10 · Then the greatest common factor of 6 and 10 is 2 · Divide both ...

Answer:

.475

Step-by-step explanation:

This is the Ansewer