The displaced volume of the water, because of the submersion of the object, is equal to the volume of the object.

So to find the volume of the object we calculate the difference in volume of water:
33.1-25.1 = 8 ml

Since 1 mL of water has the volume of 1cm^3, then the volume of the object is 8 cm^3.

The density of the object is found by the formula:

density= mass/volume= (3 g) / (8 cm^3) = 3/8 (g/cm^3)= 0.375 g/cm^3

Answer: 0.375 g/cm^3

7 0

4 years ago

The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o

dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0

4 years ago

Read 2 more answers

2x2 − 10x − 28 6x × 6 x − 7

Simora [160]

Answer:

no real solutions

Step-by-step explanation:

If equation is...

$2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0$

= no real solutions

7 0

3 years ago

An airplane is preparing to land at an airport. It is 41,300 feet above the ground and is descending at the rate of 3,100 feet p

MissTica

9514 1404 393

Answer:

after 7 minutes
19,600 feet

Step-by-step explanation:

Here's the "pencil and paper" solution:

The two altitude equations are ...

y = 41300 -3100x
y = 2800x

They can be solved by setting the expressions for y equal to each other.

2800x = 41300 -3100x

5900x = 41300

x = 41300/5900 = 7

y = 2800·7 = 19600

The planes will both be at 19,600 feet after 7 minutes.

_____

Attached are solutions from a graphing calculator, and from a calculator app that is able to solve systems of equations.

I find the graphing calculator the easiest to use. I can enter equations using a keyboard, and the solution is displayed in a form that can be copied and pasted.

The calculator app on my phone requires equation entry using a small on-screen keyboard, with multiple key hits required to access some functions. (y is obtained by hitting the x key twice, for example.)

The "pencil and paper" solution is not so difficult, but requires a certain amount of writing (or good short-term memory). The solutions for x and y require separate calculations, whereas the other methods give both x and y at the same time.

3 0

3 years ago