Round 187.5 to the nearest tenth of a mile

what wpuld be the area of an actual pool be of the scale from the drawing is 3:1000? 15 cm7.5 will mark brainest

tia_tia [17]

The scale from the drawing means ...

... drawing size : life size = 3 : 1000

This can be turned around to get ...

... life size : drawing size = 1000 : 3

I find this form more convenient to use in a proportion:

... actual length / drawing length = 1000 / 3

Multiplying by "drawing length", we get ...

... actual length = (drawing length)·(1000/3)

This will be true for both drawing lengths.

_____

... Pool length = (15 cm)·1000/3 = 5000 cm = 50 m

... Pool width = (7.5 cm)·(1000/3) = 2500 cm = 25 m

The area is the product of these dimensions:

... pool area = (50 m)·(25 m) = 1250 m²

7 0

3 years ago

In a paint factory, an old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute.

vagabundo [1.1K]

It takes 10 minutes for the two lines to have filled an equal number of barrels

Each line will have filled 90 barrels

Solution:

Let "x" be the number of minutes

The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute

Thus, a equation is framed as follows:

Old conveyor: 20 + 7(number of minutes)

Old conveyor: 20 + 7x ------- eqn 1

A worker just switched on a newer line that can fill 9 barrels per minute

Thus, a equation is framed as follows:

New conveyor: 9(number of minutes)

New conveyor: 9x -------- eqn 2

In a little while, the two lines will have filled an equal number of barrels.

Thus, eqn 1 must be equal to eqn 2

$20 + 7x =9x\\\\9x - 7x = 20\\\\2x = 20\\\\x = 10$

Thus it takes 10 minutes for the two lines to have filled an equal number of barrels

How many barrels will each line have filled?

Substitute x = 10 in any one of equations

Substitute in eqn 2

9x = 9(10) = 90

Thus each line will have filled 90 barrels

8 0

3 years ago

Plot all points that are a distance of 7 units from 4. What are their values?

Tasya [4]

Distance is the number of units between points.

The distance that are 7 units from 4 are: 11 and -3

A distance of 7 units from 4 means:

$x - 7 = 4$ or $x + 7 =4$

Where:

x is the required distance

Solve for x in both equations.

$x - 7 = 4$

$x = 7 + 4$

$x = 11$

$x + 7 =4$

$x =4 - 7$

$x =- 3$

So, the distance that are 7 units from 4 are: 11 and -3

See attachment for illustration