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lianna [129]
3 years ago
15

An element with mass 310 grams decays by 8.9% per minute. How much of

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

52.7 g

Step-by-step explanation:

We are given;

  • Initial mass of the element is 310 g
  • Rate of decay 8.9% per minute
  • Time for the decay 19 minutes

We are required to determine the amount of the element that will remain after 19 minutes.

We can use the formula;

New mass = Original mass × (1-r)^n

Where n is the time taken and r is the rate of decay.

Therefore;

Remaining mass = 310 g × (1-0.089)^19

                            = 52.748 g

                            = 52.7 g (to the nearest 10th)

Thus, the mass that will remain after 9 minutes will be 52.7 g

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A store sells 70 soccer balls one for $15.00 each and the other for $65.00 they made a total of 2,400. Write and solve the equat
Pepsi [2]

Answer:

One store sold 27, and the other sold 43.

Step-by-step explanation:

So, we can easily set this up in an equation. X represents the number of soccer balls in store one, and Y represents the number of soccer balls in store two. Since there's a total of 70 soccer balls...

x+y=70

And since we know how much money they sold for and made total...

15x+65y=2400

We'll grab that first equation and change it around a bit. We'll make it an equation where we're solving for y. Remember that when we switch a value from one side to the other, that value becomes negative. Since x is going to the other side, the x becomes negative.

y=-x+70

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We distribute the 65 to the values inside the parentheses.

15x-65x+4550=2400

We only want x on the left side, so we're going to subtract 4550 from both sides.

15x-65x=-2150

Then we can subtract 15x by 65x, resulting in another negative number.

-50x=-2150

Then, we just divide both sides by -50. A negative and a negative makes for a positive.

x=43

Now we know one store sold 43 soccer balls for $15 each. We can plug our new x into the first equation.

43+y=70

Then we subtract both sides by 43.

y=27

Now we know the other store sold 27 soccer balls for a whopping $65 each. Just to double check, we'll plug our numbers into the other equation, too.

15(43)+65(27)=2400

645+1755=2400

Yep! So, we end up with one store selling 43 and the other selling 27.

4 0
3 years ago
Gas and oil costs = $1,100.00 Repair/Maintenance = $800.00 Operating cost per mile = $0.14 Miles driven =
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Hi there

Miles driven=
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Hope it helps
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Step-by-step explanation:

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