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Aloiza [94]
2 years ago
11

the density of aluminum is 2700 kg/m3. what is the mass of a solid cube of aluminum with side lengths of 0.5 meters?

Mathematics
1 answer:
emmasim [6.3K]2 years ago
4 0

SOLUTION

Density is calculated as

\begin{gathered} Density=\frac{mass}{volume} \\  \end{gathered}

The side lengths of the aluminium cube has been given as 0.5 m

The volume becomes

\begin{gathered} volume=length\times length\times length \\ V=L\times L\times L \\ V=0.5\times0.5\times0.5=0.125m^3 \end{gathered}

so the volume is 0.125 cubic-meters.

The mass becomes

\begin{gathered} Density=\frac{mass}{volume} \\ mass=density\times volume \\ mass=2700\times0.125 \\ =337.5 \end{gathered}

Hence the answer is 337.5 kg

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Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
lara [203]

Answer:

11 and 12

Step-by-step explanation:

x=smaller

y=larger

2y=3x-9    x+1=y

2(x+1)=3x-9

2x+2=3x-9

11=x

                11+1=y

                    12=y

3 0
3 years ago
Out of a random sample of 2,000 people in the United States, 168 reported making more than $75,000 a year. Calculate the sample
Mandarinka [93]

Answer:

The sample proportion is 8.4%.

Step-by-step explanation:

The sample proportion f people in the United States who earn more than $75,000 each year is the number of people who reported earning more than $75,000 each year divided by the size of the sample.

The proportion is:

P = \frac{168}{2000} = 0.084

The sample proportion is 8.4%.

3 0
3 years ago
Please help show work
11111nata11111 [884]

I will lay out the answers according to the days you have on your picture.

Monday:

<em>1. -12 x -5 </em>

A negative multiplied by a negative will equal a positive answer. So:

<em>12x5= 60</em>.

To do this without a calculator, first do

<em>5x10= 50, </em>then

<em>5x2=10. </em>

<em>50+10= 60.</em>


<em>2. True or False: 27= 3 x 3^3</em>

First find out what 3 cubed is. That means 3x3x3. Since 3x3=9, and 9x3= 27, the 3 cubed is 27.

But you still need to multiply by 3 yet! 27x3=81.

So this question is false.


<em>3. True or False: (-) / (+) = (-)</em>

A negative divided by a positive is indeed negative. So this is true.


Tuesday:

<em>1. 18+ (-16)</em>

Like before, a negative and positive equal a negatvie. So the question is really asking: 18-16 = 2.


<em>2. 18/ -3</em>

Again, positive divided by a negative (or the other way around) will equal a negative. So 18/3=6, and add the negative sign, so the answer is -6.


<em>3. (-5)(6)(-7)</em>

When a negative is multiplied by a positive, the answer is negative. But, if the negative is multiplied by another negative, the answer is positive. So the answer here is positive.

(5)(6)(7)

=30 x 7

=210


Monday #2

<em>1. (-)(-)(-)</em>

When two negatives are multiplied, the answer is a positive. But when multiplied by another negative, the answer becomes negative once again.


<em>2. -(4^2)= -16  </em>

This answer is true. 4 squared is 16, and becomes negative because of the negative sign in front of the 4 squared.


<em>3. -50+20</em>

This is almost like asking 50-20 = 30. But because we are going towards 0 from the negative range, the answer will be negative.


Tuesday #2

<em>1. If a=-8, then 4a...</em>

4(-8)

=-32


<em>2. Question unclear...</em>


<em>3. (-)+(-)</em>

<em>= positive</em>


Wednesday

<em>1. -5+3-3</em>

+3-3=0

So the answer is just -5


<em>2. absolute value of -8/4</em>

Just take off the negative sign. So just 8/4.


<em>3. -12+(-5)</em>

= -12-5

=-17

4 0
3 years ago
Complete the proof. If 7+5x+9=−3x , then x=−2 .
sashaice [31]

Answer:

7+5x+9=−3x

7+5(-2)+9=−3(-2)

7+-10+9=6

-3+9=6

6=6

Step-by-step explanation:

7+5x+9=−3x

7+5(-2)+9=−3(-2)

7+-10+9=6

-3+9=6

6=6

5 0
4 years ago
What is the equal number 5 tens and 13 ones
serg [7]
63

5x10=50

13x1=13

50+13=63
4 0
4 years ago
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