Answer:
There are 2 red pens in each pack
There are 3 blue pens in each pack
Step-by-step explanation:
<u> we know that</u>
270=2*3^{3} *5
180=2^{2}*3^{2}*5
<u>Find the Greatest Common Factor (GCF)</u>
The GCF is equal to------> 2*3^{2}*5=90
the greatest number of packs she can make is 90
Find the number of red pens in each pack 180/90=2 red pens
Divide the total number of red pens by the total number of packs
Find the number of blue pens in each pack 270/90=3 blue pens
Divide the total number of blue pens by the total number of packs
<u>Given</u><u> </u><u>that</u><u> </u>
- Height of container is 20 inches .
- Radius of base is 10 inches .
<u>To</u><u> </u><u>Find</u><u> </u>
<u>Formul</u><u>a</u><u> </u>
- Volume of cylinder is πr²h
<u>Solu</u><u>tion</u><u> </u>
→ Volume = πr²h
<u>Usin</u><u>g</u><u> </u><u>π</u><u> </u><u>as</u><u> </u><u>3</u><u>.</u><u>1</u><u>4</u><u> </u>
→ 3.14 × 10 × 10 × 20 = Volume
→ 314 × 20 = Volume
→ <u>6</u><u>2</u><u>8</u><u>0</u><u> </u><u>inches²</u><u> </u><u>is</u><u> </u><u>the holding capacity of the</u><u> container</u><u>. </u><u> </u>
Step-by-step explanation:
Simple interest=principal x rate x time÷100
amount borrowed=$500
I=$500x7x6÷100
I=$210
therefore you will pay
amount borrowed+interest
$500+$210
$710
hope this is helpful
Answer:

Explanation:
The question is "Einstenium-253 is an element that loses about 2/3 of its mass every month. A sample of einstenium-253 has 450 grams. Write a function that gives the sample's mass in grams, S(t) from today".
Since <em>einstenium-253 loses about 2/3 of its mass every month</em>, you can model the amount of sample by an exponential decay function, which is a geometric progression with a growing factor less than 1.
The general form of an exponential decay function is:

Where:
- A₀ is the initial value
- r is the growing or decaying factor
- t is the time
- y is the value of the function at time t.
In this case, you have:
- A₀ = 450
- r = 2/3
- t = t
- y = S(t)
Now you can replace the values in the model and will obtain:

Hello again!
Answer is 60%
————————
so, for this one you first figure out how many study French.
2/9 of 270 is 60 (simple method: 1/9 is 270 divided by 9, which is 30. So 2/9 is 1/9 multiplied by 2, which is 60).
60 are doing French.
Then use this in the ratio of French to Spanish (3:7) and you have 3 and 60 on the same side. You have to multiply 3 by 20 to get to 60 (or divide 60 by 20 to get 3).
So the number you use to do the same to the other side of the ratio is 20.
7 multiplied by 20 (or 7 multiplied by 10, then multiply that by 2) to get 140.
140 are doing Spanish.
Then take the French and Spanish from the big total and you get 270-140-60=70
70 are doing German.
Of these 70, 42 are boys. 70-42 gives 28 girls. 42/70 is the fraction of boys doing German. This is the same as 6/10 and to get a percentage you multiply the fraction by 10 so that the bottom of it is out of 100 (so that’s 60/100).
And 60/100 is the same as 60%.
So your answer is 60%