A piece of aluminum that is 20 cm³ has a mass of 54 g. a. What is the density of the aluminum?

a bag contains 20 pink marbles and 12 yellow marbles. you choose a marble at random. what is the probability of selecting a pink

Sati [7]

So the total amount of marbles is: 20+12=32
there are 20 pink marbles
20/32 = 10/16 = 5/8 (simplified)

4 0

3 years ago

the moon is about 240,000 miles from earth. what is this distance written as a whole number multiplied by a power of ten.?

Sphinxa [80]

24 (being the part of the number that was first) would be multiplied by 10000, note the fact that the amount of zeros multiplied was equal to the amount of zeros in the problem.

Thus

240,000 = 24 x 10,000.

3 0

4 years ago

Troy took out an 80/20 mortgage to buy a house costing $100,000. The first (80%) mortgage has an interest rate of 4.75%, The sec

tekilochka [14]

Answer:

$557.51

Step-by-step explanation:

A financial calculator tells you the payments are ...

on $80,000 at 4.75%: $417.32

on $20,000 at 7.525%: $140.19

Then the total monthly payment is ...

$417.32 +140.19 = $557.51

_____

You can use the amortization formula to find the payment (A) on principal P at interest rate r for t years to be ...

A = P(r/12)/(1 -(1+r/12)^(-12t))

I find it takes fewer keystrokes to enter the numbers into a financial calculator. Both give the same result.

7 0

3 years ago

Use the card collection box-and-whisker plot to solve.

Klio2033 [76]

The right answer for the question that is being asked and shown above is that: "B.second quarter." Use the card collection box-and-whisker plot to solve. In the second quarter that the data are at least concentrated.

4 0

4 years ago

Can someone please help me with this!?

Katarina [22]

One way of solving this problem can be Heron's formula. It is a formula that allows us to compute the area of a triangle, knowing the length of its three sides.

For the sake of clarity, let's assume that the point in the top-left lies in the origin, and let's call it point A. Then, the "middle" point is point B, and the bottom-right point is point C.

If we fix the coordinate axis with the origin in A, we have the following coordinates for the three points:

$A = (0,0),\quad B = (4,-1),\quad C = (7,-5)$

We can compute the length of any side using the formula for the distance between two points:

$d(P,Q) = \sqrt{(P_x-Q_x)^2 + (P_y-Q_y)^2}$

Plugging the approriate values, we get the following lenghts:

$\overline{AB} = \sqrt{17},\quad \overline{BC} = 5,\quad \overline{AC} = \sqrt{74}$

Now that we have the lengths, we can use Heron's formula: given the side lenghts $a,b,\text{ and } c$ and the semiperimeter $p$ , the area is given by

$A = \sqrt{p(p-a)(p-b)(p-c)}$

If you plug our values, you will get an area of 6.5. So, unless I'm mistaken, none of the answers seem to mach, whereas 7 seems the best approximation.

4 0

3 years ago