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Masja [62]
3 years ago
6

The half-life of a radioactive kind of neodymium is 11 days. If you start with 2,616 grams of it, how much will be left after 22

days?
Mathematics
1 answer:
Ket [755]3 years ago
3 0

Answer:

654 grams

Step-by-step explanation:

When you set up this equation you want the number of grams you start with, 2616, and the factor by which it is decreasing, which is half, or 1/2. Because the half life is 11 days, but you want to find the amount left over after 22 days, you can make 22/11 as the exponent on the 1/2. The equation should look like this : 2616(1/2)^22/11. With these kinds of equations you always want to multiply the starting value by the factor of increase/decrease, and raise that factor to the time eclipsed divided by the set time(like the 11 day half life).

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A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4
vovikov84 [41]

Answer:

18

Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple.  When increasing things proportionally you basically multiply everything by the same number.  A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B.  Well, what if you made the recipe twice?  that would be 20 things from 2 of A and 4 of B.  This is the same as changing the recipe to make double.  It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples.  We want to know how much we changed it by, then that much is how much the total number of muffins changes.  So if we doubled apples the muffins would double, but I don't think it's that simple.

Started at 3/4 cup of chopped apple and increased to 9/8 cups.  We want to know what to multiiply by to do this.  So we set up a simple algebraic equation.

(3/4)x = 9/8

where x is what we multiply by.  Now, to do this you could do one step, divide by 3/4 or you could do it in two steps, multiply both sides by 4 then divide by 3.  Or the other way around.  Either way you will get the same number.

(3/4)x = 9/8

3x = 9/2

x = 3/2

And you can (and should) double check

(3/4)x = 9/8

(3/4)(3/2) = 9/8

9/8 = 9/8

Yay!  If you don't gt fraction multiplication let me know.  But the recipie is an increase of 3/2 or 1.5, so there will be 1.5 as many muffins.

12*1.5 = 12(3/2) = 18

4 0
3 years ago
Read 2 more answers
Martin won first place in the 100-meter dash with a time of 14 23/100 seconds. Samuel came in second place with a time of 15 7/1
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25a is true
25b is true
25c is false
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4 0
3 years ago
Cindy has printed 45 pages. Each page has 18 stickers
prisoha [69]

Answer:

810 stickers.

Step-by-step explanation:

Since there are 18 stickers per page, we need to use multiplication to calulate how many stickers we have total.

Our problem is 45*18, since we have 45 pages, each with 18 stickers.

45*18=810

Cindy has 810 stickers in all.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Write the word sentence as an inequality. Then solve the inequality.
vladimir2022 [97]

Answer:

The inequality is 6x ≥ -24

The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

Step-by-step explanation:

  • In the inequality not more than means ≤
  • In the inequality at least means ≥

Let us solve the question

∵ Six times a number x means 6 × x = 6x

∵ At least means ≥

∴ Six times a number x is at least -24 is 6x ≥ -24

∴ The inequality is 6x ≥ -24

Now we will find the solution of the inequality

∵ 6x ≥ -24

→ Divide both sides by 6

∵ \frac{6x}{6} ≥ \frac{-24}{6}

∴ x ≥ -4

∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

6 0
3 years ago
Read 2 more answers
Will mark as brainiest.
EleoNora [17]

Answer: let

x = # cans produced

fixed cost = $50,000

variable cost = $8/can

Step-by-step explanation: I am ultimate pro at this

5 0
2 years ago
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