Ask question

Ask question

All categories

3 years ago

8

David and his two brothers deliver papers every morning. Each one of them can deliver a paper every two minutes, and between the

three of them they deliver 147 papers. How long does it take them to deliver the paper.

1 answer:

devlian [24]3 years ago

8 0

The paper for each of them
paper per person = 147/3
paper per person = 49

Each of them deliver 49 papers

Find how long it takes
one paper is 2 minutes
time = 49 × 2
time = 98

They finish delivering in 98 minutes

You might be interested in

What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |A| = |Ax| = |Ay| =

valentina_108 [34]

For this case we have the following system of equations:

$5x + 3y = 17\\-8x - 3y = 9$

We can Rewrite the system of equations of the form:

$Ax = b$

Where,

A: coefficient matrix

x: incognita vector

b: vector solution

We have then:

$A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]$

$x=\left[\begin{array}{ccc}x\\y\end{array}\right]$

$b=\left[\begin{array}{ccc}17\\9\end{array}\right]$

Then, the determinant of matrix A is given by:

$|A|=(5)(-3)-(3)(-8)\\$

$|A|=-15+24$

$|A|=9$

Answer:

The determinants for solving this linear system are:

$|A|=9$

7 0

3 years ago

Read 2 more answers

Check the box labeled Show Segment Parallel to BC. Notice that DE intersects two sides of triangle ABC creating a smaller triang

dlinn [17]

Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.

Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)

7 0

3 years ago

Read 2 more answers

I need help with number 7, and the second part of number 8. Thank you!

tangare [24]

Answer:

7. $\dfrac{\pi }{3},\ \pi ,\ \dfrac{5\pi }{3}$

8. b. $0,\ \dfrac{2\pi }{3},\ \pi,\ \dfrac{4\pi }{3}$

Step-by-step explanation:

7. Solve the equation

$\cos x+\cos 2x=0$

First, note that

$\cos 2x=2\cos^2x-1$

Hence,

$\cos x+2\cos ^2x-1=0$

Use substitution

$t=\cos x,$

then

$2t^2+t-1=0\\ \\D=1^2-4\cdot 2\cdot (-1)=1+8=9\\ \\\sqrt{D}=\sqrt{9}=3\\ \\t_{1,2}=\dfrac{-1\pm 3}{2\cdot 2}=-1,\ \dfrac{1}{2}$

Now,

$\cos x=-1\ \text{or}\ \cos x=\dfrac{1}{2}$

Solve each equation separately for $0\le x$

$\cos x=-1\\ \\x=\pi+2\pi k, \in Z\\ \\\text{only } x=\pi \in [0,2\pi)$

$\cos x=\dfrac{1}{2}\\ \\x=\pm\arccos \dfrac{1}{2}+2\pi k,\ k\in Z\\ \\x=\dfrac{\pi }{3}\ \text{and}\ x=\dfrac{5\pi }{3}$

8. b. Solve the equation

$\sin x+2\sin x\cos x=0$

Rewrite it:

$\sin x(1+2\cos x)=0$

By zero product property,

$\sin x=0\ \text{or}\ 1+2\cos x=0$

Solve each equation separately.

$\sin x=0\\ \\x=\pi k,\ k\in Z\\ \\\text{for}\ x\in [0,2\pi),\ \ \ \ x_1=0\ \ x_2=\pi$

$1+2\cos x=0\\ \\\cos x=-\dfrac{1}{2}\\ \\x=\pm \arccos \left(- \dfrac{1}{2}\right)+2\pi k,\ k\in Z\\ \\x=\dfrac{2\pi }{3}\ \text{and}\ x=\dfrac{4\pi }{3}$

5 0

4 years ago

What is 54.039 in word word

Misha Larkins [42]

54.039 in words are fifty-four and thirty-nine thousandths

7 0

4 years ago

Read 2 more answers

John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary'

Nana76 [90]

Answer:

Option 2 is correct that could be used to solve the problem.

Step-by-step explanation:

Present age of Mary is x

And present age of John is y

Since, john is 5 years older than Mary hence, we get

y=x+5

In 10 years twice john's age is decreased by Mary's age by 35

2(y+10)-(x+10)=35

hence, Option 2 is correct which could be use to solve the problem.

4 0

3 years ago

Read 2 more answers