You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.

Answers

Answer 1

Answer:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

or

Time taken to deliver one paper can be calculated by the formula:

[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]

Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]

Total number of papers = 75

Number of papers delivered by first person = [tex]n[/tex]

So, number of papers delivered by second person = ([tex]75-n[/tex])

Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper

Time taken by first person = [tex]n\times \frac{1}{4}[/tex]

Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]

So, Total time taken can be written as:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]


Related Questions

y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?

Answers

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

Read more about x-intercepts at:

https://brainly.com/question/3951754

Please help
The perimeter of a rectangular pool is 48 feet. Its length is 4 feet more than its width.

Let the width of the pool be represented by x.

Which equation below can be used to describe the situation?

Answers

Step-by-step explanation:

perimeter = 2* ( length + width)

Length = 4 + Width = 4+x

Equation is,

2* (4+x+x) = 48

2* (4+2x) = 48

4+2x = 48/2 = 24

4+2x=24

2x = 24-4 = 20

2x = 20

x = 10

Solve for n.
4/7 x n = 14

Answers

Answer:

[tex]n = \frac{49}{2x}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]

[tex]\frac{4xn}{7}[/tex] = 14

2) Multiply both sides by 7.

4xn = 14 × 7

3) Simplify 14 × 7 to 98.

4xn=98

4) Divide both sides by 4.

[tex]xn = \frac{98}{4}[/tex]

5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]

[tex]xn = \frac{49 }{2}[/tex]

6) Divide both sides by x.

[tex]n = \frac{49}{2} / x[/tex]

7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]

[tex]n = \frac{49}{2x}[/tex]

put these numbers in descending order
75%

2/5

0.84

2/3

Answers

I think its

2/5 2/3 75 0.85

How to solve 240=-16 Equation

Answers

no idea

Step-by-step explanation:

u can use google for this if u r in hurry

I am guessing that we are divided?

So

240:-16=-15
Answer: -15

If this was not about dividing comment on this answer and tell me what its about more in detail and I’ll be more then happy to answer this question for you.


Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.

Answers

Angle GFJ = 56 degrees

Angle FGH = 124 degrees

Angle HFJ = 34 degrees

Angle HKJ = 101 degrees

Step-by-step explanation:

The measure of the angles are:

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{\angle HFJ = 34}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

The given parameters are:

∠GHF = 34°,

∠HJF = 124°,

∠FKJ = 79°.

(a) Angle ∠GFJ

This is calculated as:

[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees

So, we have:

[tex]\mathbf{GFJ = 180 - 124}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

(b) Angle ∠FGH

This is calculated as:

[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal

So, we have:

[tex]\mathbf{\angle FGH = 124}[/tex]

(c) Angle ∠HFJ

This is calculated as:

[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles

So, we have:

[tex]\mathbf{\angle HFJ = 34}[/tex]

(d) Angle ∠HKJ

This is calculated as:

[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles

So, we have:

[tex]\mathbf{\angle HKJ =180 - 79}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

Read more about angles in a parallelogram at:

https://brainly.com/question/9680084

solve for x
(3/x-c)=(4/x-d)

Answers

9514 1404 393

Answer:

  x = 4c-3d

Step-by-step explanation:

Cross multiply, separate variables terms and constant terms.

  [tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]

Which of the equations is graphed below?

A.) y=-4x+3
B.) y=-4x-3
C.) y=4x-3
D.) y=4x+3​

Answers

Answer:

4x - 3 = y

Step-by-step explanation:

Here's why: 4 is your slope and -3 is your y intercept so the equation would look something like 4x - 3 = y.

Hope I helped

Y=-4x+3 would be the answer

Can someone tell me where to graph this

Answers

Answer:

(7, -6)

Step-by-step explanation:

You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.

In the diagram below of AACD, DB is a median to AC, and AB = DB.
D
A
B
c
If mZDAB = 32°, what is mZBDC?
(1) 320
(3) 58°
(2) 520
(4) 64°

Answers

Answer:

it will be (3)

Step-by-step explanation:

since DB is a median

then DB= half AC , AB=BC

then AB=BD

then the two triangles are isosceles

The required m∠BDC is 32° .

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

According to the given question ;

DB is a median;

By the symmetry ;

Then DB = half AC ,

        = AB = BC

Then= AB = BD

In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.

Then the two triangles are isosceles.

Means m∠DAB = m∠BDC = 32°

For the more information about the properties of isosceles triangle click the link given below.

https://brainly.in/question/13106654

What's the answer ?
A. B. C. Or D? ​

Answers

Answer:

D.) y=-x-2

Step-by-step explanation:

Answer:

D.) y=-x-2

Step-by-step explanation:

Trust me I just know

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.

y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes

Answers

Answer:

y = 0 , x = 1

Step-by-step explanation:

jdbdjdajhsbsbs

Answer:

Step-by-step explanation:

The graph has both a vertical and horizontal asymptote to which the value

of the function approaches as the y-values and x-values approaches

infinity respectively.

The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1

Reasons:

The horizontal asymptote is the horizontal line that the function's graph

tends towards as the value of the input variable approaches infinity.

The horizontal line that the graph of the function approaches is y = 0

Therefore;

The horizontal asymptote is; y = 0

Similarly, the vertical asymptote is the vertical line that the graph of the

function approaches but never meets.

Therefore;

The graph of the function on the bottom left approaches the line x = 1 from

the left, while the graph of the function with the domain 0 < x < ∞,

approaches the line x = 1 from the right.

Therefore;

The vertical asymptote is the line x = 1

Learn more here:

https://brainly.com/question/13939972

If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.

a. DF = PR

b. DE = PR

C. EF = QR

D. Q = D

E. E = Q

F. F= R

Answers

Answer:

A, C, E, F

Step-by-step explanation:

Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1

Answers

Answer:

y = 1x -1

Step-by-step explanation:

m is your slope which is 1 and -1 is you y intercept

the slope intercept form is y = mx + b

which means the equation will be y = 1x -1

can some one please help me i’m begging

Answers

Answer:

Step-by-step explanation:

for 2.2 you would still have 5^2 in brackets still

same kind of error for 2.1

Simplify the expression.
−(−x)3 − x3

Answers

Answer:

0

Step-by-step explanation:

-(-x) ^3-x^3

x^3-x^3

=0

Plz Help, i really dont understand this, and I'm taking a timed test!

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

A. x = 5 over 3 , x = − 19 over 3
B. x = −3, x = −11
C. x = −3, x = 11

Answers

Answer:

B. x = −3, x = −11

Step-by-step explanation:

−3|x + 7| = −12

-3x - 21 = -12 and -3x - 21 = 12

-3x - 21 = -12

      -3x = 9

          x = -3

-3x - 21 = 12

      -3x = 33

         x = -11

Solve:
-2(x – 4) = -8
x = 8
X = -8
X = 16
X = -16
Help please

Answers

Answer:

x = 8

Is that what you wanted?

can someone help me on this question pretty please

Answers

Answer:

50 dollars an hour

Step-by-step explanation:

It is 50 dollars an hours .

The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.

Answers

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

[tex]L=2\pi r[/tex]

If we already know the length of the circle, we can solve the above expression for r:

[tex]\displaystyle r=\frac{L}{2\pi}[/tex]

The distance given around a circular running track is L=200 m, thus:

[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

need help with questions................​

Answers

Answer:

not a function

Step-by-step explanation:

you can not have one-to-many

there is two 3 in the X column  

What the word please. Identify the vocabulary word that matches the picture.​

Answers

Answer:

Step-by-step explanation:

BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.

The key word is complementary. The angles are <CBA and <DBA are complementary.

Answer:

Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.

Step-by-step explanation:

John is three times as old as mikayla. The product of there ages is 108. Find there ages.

Pleasseeeee help I rlly need it like now

Answers

Answer:

John: 18 years old

Mikayla: 6 years old

Step-by-step explanation:

Please see the attached picture for the full solution.

f(x) = -(x-3) +x
What is f(-1) = ?

Answers

Explanation:

Let y=3x

To calculate the inverse, interchange

x and y,    

x =3 y

Solve for k in the following equation:
m =
8kx
7.
- 6

Answers

Answer:

m=56kx-6

Step-by-step explanation:

what is pi over 12 to the 10 power times 6 over 5.32018?

Answers

Answer: 3.9737436e-13

Step-by-step explanation: pi/12= 0.26179938779 to the tenth power = 5.0738475e-11 x 6/5.32018=  3.9737436e-13.

I need helppp?!
What is the slope of the line??? Please give right answer :(((

Answers

the slope of the line is 2

Answer:

hello

Step-by-step explanation:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

m = slope

State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24

Answers

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.


8. Find the perimeter of ABC with vertices A(-8, -3), B(-2, -3), and C(-8,5).

Answers

Answer:

24

Step-by-step explanation:

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