If my calculations are correct , only 26 stacks of folders will only hold 7 folders evenly .. leaving 1 pile with 9 folders because 26*7= 182 & 184-182 = 2 . 7+2=9

8 0

3 years ago

Determine the graph of the equation y=20(0.8)^x/3.

otez555 [7]

Answer: it is the 4th graph

Step-by-step explanation:

(-3,25)(0,20)(3,16)(6,12.8)

3 0

2 years ago

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

3 0

3 years ago

Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui

disa [49]

Answer:

August made the recipe using the correct ratios

Step-by-step explanation:

we know that

Sally uses 6 cups of lemonade for every 8 cups of fruit punch

using proportion

Find out the number of cups of fruit punch for 15 cups of lemonade

Let

x ----> the cups of fruit punch

$\frac{6}{8}=\frac{15}{x}\\ \\x=8*15/6\\ \\x= 20\ cups\ fruit\ punch$

The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch

$15+20=35\ cups$

therefore

August made the recipe using the correct ratios

4 0

2 years ago