All categories

3 years ago

A carpenter wants to cut on a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board?

Mathematics

1 answer:

Rina8888 [55]3 years ago

5 0

17 8/10 pieces that can be cut from the board

You might be interested in

A line passes through the points (3,5) and (2,0) what is the slope of the line?

Veronika [31]

Answer:

Step-by-step explanation:

slope = (difference in y)/(difference in x)

subtract the y-coordinates: 5 - 0 = 5

subtract the x-coordinates in the same order: 3 - 2 = 1

Divide the difference in y by the difference in x.

slope = 5/1 = 5

4 0

3 years ago

Find the area between the graph of the function and the x-axis over the given interval, if possible.

vodomira [7]

Answer:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

$A = \int_{-\infty}^1 \frac{5}{(x-2)^2}$

For this case we can use the following substitution $u = x-2$ and we have $dx = du$

$A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du$

And if we solve the integral we got:

$A= -\frac{5}{u} \Big|_a^b$

And we can rewrite the expression again in terms of x and we got:

$A = -\frac{5}{x-2} \Big|_{-\infty}^1$

And we can solve this using the fundamental theorem of calculus like this:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

7 0

3 years ago

Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e

ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r

F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

8 0

3 years ago

Solve the inequality for b.<br><br>4b - 12 -5b < 9b + 8

ValentinkaMS [17]

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

8 0

3 years ago

Proving triangle similarity given QR PT and QPR STR prove PQR TSR

Vikki [24]

Answer:

1. QR- PT given

2. <QPR=<STR given

3. <QRP and <SRT (are right angles) def. of perpendicular

4. <QRP = <SRT all right angles are =

5. PQR~ TSR AA similarity theorem

Step-by-step explanation:

edge 2021

3 0

3 years ago

Read 2 more answers