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Setler [38]
3 years ago
6

Three students performed a science experiment using salt and a beaker. The beaker contained 530.2 grams of salt before the exper

iment started. During the experiment, each of the 3 students removed 47.36 grams of salt from the beaker. How much salt in grams was left in the beaker at the end of the experiment
Mathematics
2 answers:
frutty [35]3 years ago
5 0

Answer:

388.12 grams

Step-by-step explanation:

There is a total of 530.2 grams to begin with.

Each student removes 47.36 grams; since there are 3 students, this means that

47.36(3) = 142.08 grams removed.

This leaves us with

530.2-142.08 = 388.12 grams.

anzhelika [568]3 years ago
3 0
We are subtracting 3 * 47.36 from 530.2

3 * 47.36 = <span>142.08
</span>
530.2 - 142.08 = <span>388.12

Your answer should be </span><span>388.12 grams left. Hope this helps!</span>
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Sedaia [141]
A:amount of money invested in the account with 3% simple interest
B: amount of money invested in the account with 4.5% simple interest
a+b=25000 ——>a=25000-b

0.03a+0.045b=900
30a+45b=900000
2a+3b=60000

2(25000-b)+3b=60000
50000-2b+3b=60000
B=10000
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gladu [14]

Answer: i think A. C.  E.

Step-by-step explanation:

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3 years ago
Five more than three times a number is 131. Find the number.
Crazy boy [7]
The answer would be 42
42*3 = 126
126+5 = 131
3(n)+5=131
3(n)+5 -5= 131-5
3(n)=126
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6 0
3 years ago
How do you solve this problem?
jekas [21]
Very nice problem. You should look up the history of this question. It has a very long one having to do with mirrors made between 50 BC and 50 AD.

Step One
Find AB, BC, AC
Before beginning this problem, I'm going to arbitrarily name 
c = AB
a = BC
b = AC It just makes the calculations easier.

AB = radius of the large circle - radius of the medium circle = 20.62 - 8.04 = 12.58
BC = Radii of the two smaller circles added together = 8.04 + 7.35 = 15.39
AC = Radius of the large circle - Radius of the small circle = 20.62 - 7.35 = 13.27

So
a = 15.39
b = 13.27
c = 12.58

Step Two
Find Angle A or <BAC
a^2 = b^2 + c^2 - 2*b*c * Cos(A)
15.39^2 = 12.58^2 + 13.27^2 - 2 * 12.58 * 13.27 * Cos(A)
236.852 = 158.26 + 176.1 -  333.87 * Cos(A)
236.852 = 334.4 - 333.87*Cos(A)
-97.55 = - 333.87 *  Cos(A) 
-97.55 / -333.87 = Cos(A)
0.2922 = cos(A)
A = cos-1(0.2922)
A = 73.01 degrees

Step Three
Just to see if you understand what was done, I'll give you the givens for finding c, and the answer and you can work through the calculations to see if your answer agrees with mine. If it doesn't PM me.
c = 12.58
b = 13.27
a = 15.39

12.58^2 = 13.27^2 + 15.39^2 - 2*13.27*15.39*Cos(C)
C = 51.42

Step Four
Find <B
Every triangle has 180 degrees so
B = 180 - <A - C
B = 180 - 51.42 - 74.01
B = <54.57. 
I have found a moderator who opened the question up so that I can show you why the Cos law is the only way to do this. If the circles are very disproportionate as in this diagram, then no simple assumption can be made. The cos law is all that will work. I would have posted this earlier, but I didn't think anyone would find another method. It's ingenious but not possible for the situation below.

3 0
3 years ago
What is the exact circumference of the circle?
fredd [130]
Data:

Formula: diameter = 2*radius

Formula: (<span>Circle length)
</span>C = 2* \pi *r
<span>
Solving: </span><span>Using the data
</span>diameter = 2*radius
20 = 2*r
2r = 20
r =  \frac{20}{2}
\boxed{r = 10\:ft}

<span>Now, replace in the circumference length formula
</span>C = 2 \pi *r
C = 2 \pi *10
\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark

Answer:
<span>The exact circumference of the circle is </span>20 \pi \:ft
7 0
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