All categories

2 years ago

A machine paints 34o toy boats im 3/4 of an hour how many boats can he make per hour

1 answer:

7 0

Here, we can set up a proportion:

34 ÷ 3/4 = ? ÷ 1
34*1 = 34
34÷3/4 = the time needed to build one toyboat

34/3/4 = 45.3333333333

45.3 repeating is not a whole number, so we need to approximate.

45 is the closest whole number,

So.. a machine can paint 45 toy boats per hour.

I really hope that helped! :)

You might be interested in

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0

1 year ago

Peyton has collected 120 aluminum cans for recycling. If 20 cans will fit in each blue plastic bag, how many bags will she need

gogolik [260]

Hi Renee!

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

We Know:

120 aluminum cans.

20 cans fit in each blue bag.

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

Solution:

120 / 20 = 6

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

Answer:

She will need 6 bags to carry all the aluminum cans.

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

Hope This Helps :)

6 0

2 years ago

If I go into the store with $26 and I leave and come out with $11.70 how much did I spend

pogonyaev

Answer:

$14.30

Step-by-step explanation:

26 - 11.70 = 14.30

4 0

2 years ago

How many bags of pretzels does Tim buy

miss Akunina [59]

Is there anything else to this question

6 0

3 years ago

Solve for x.

White raven [17]

Step-by-step explanation:

$25(x - 910) = - 234 \\ 25x - 22750 = - 234 \\ 25x = 22516 \\ x = \frac{22516}{25} \\ x = 900 \frac{16}{25}$

4 0

2 years ago