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2 years ago

Find the value of two numbers is their sum is 21 and their difference is 3

Mathematics

2 answers:

kobusy [5.1K]2 years ago

8 0

Hello from MrBillDoesMath

Answer: 12, 9

Discussion:

Let x be the first number and y the second number. The form the problem statement:

x + y = 21

x - y = 3

Add the two equations. This gives:

(x + x ) + ( y-y) = 21 + 3 =>

2x + 0 = 24 =>

x = 12

Since x -y =3, substituting in the value of x gives, 12 - y = 3 so y = 9

Thank you,

Mr. B

inn [45]2 years ago

4 0

Answer to equation: 18

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A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.

mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

$A(t) = A(0)(1 - r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that $A(0) = 10, r = 0.03$

$A(t) = A(0)(1 - r)^t$

$A(t) = 10(1 - 0.03)^t$

$A(t) = 10(0.97)^t$

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

$A(24) = 10(0.97)^{24} = 4.81$

The weight of the block of ice after 1 day is of 4.81 pounds.

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2 years ago

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Tems11 [23]

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3 years ago

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umka21 [38]

Hello!

We can find out our answer by plugging in the point (1,1) to see which equation works.

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I hope this helps!

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3 years ago

Read 2 more answers