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

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