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LUCKY_DIMON [66]
2 years ago
14

The weight of meteorite A is 6 times the weight of meteorite B. If the sum of their weights is 140 tons, find the weight of each

Mathematics
1 answer:
sattari [20]2 years ago
5 0
Meteorite A weights
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Evaluate the expression when c=4 and d=48. d-6c​
Rama09 [41]

Answer:

24

Step-by-step explanation:

since c=4 and d=48, we can re-write this equation

48-6 x 4

48 - 24

24

5 0
2 years ago
A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal
mars1129 [50]

Answer:

  t=5.0days

Step-by-step explanation:

Using the formula for the exponential decay that is N=N_{0}e^{-kt}, we have N=\frac{1}{2}{\times}46=23, N_{0}=46 and k=0.1374.

Thus, N=N_{0}e^{-kt} becomes

23=46{\times}e^{-0.1374t}

\frac{23}{46}=e^{-0.1374t}

\frac{1}{2}=e^{-0.1374t}

Taking log on both sides, we get

ln(\frac{1}{2})={-0.1374t}

t=\frac{ln\frac{1}{2}}{-0.1}

t=\frac{-0.6931}{-0.1374}

t=5.0days

4 0
2 years ago
A scientist
Nady [450]
It’s 5,905 bc you need to add all of you distilled water to know if you have enough
7 0
3 years ago
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
2 years ago
Substitute the given values into the formula, and solve for the unknown variable.
Alla [95]

Answer:

h=\frac{1}{6}

Step-by-step explanation:

Given:

A=\frac{1}{2h} (B+b)\\

A=21, B=2, b=5 ,h= ?

We have to find the value of  'h'

So, putting the given values in the equation to find the value of 'h'.

          A=\frac{1}{2h} (B+b)

Implementing the given values in the given equations:

         

                              21=\frac{1}{2h}(2+5)\\\\ 21=\frac{1}{2h} (7)\\\\\frac{1}{2h}=\frac{21}{7}\\\\  \frac{1}{2h}=3 \\\\h=\frac{1}{6}

So, the value of 'h' is

                       h=\frac{1}{6}

3 0
3 years ago
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