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olga_2 [115]
3 years ago
11

Which expression can be used to determine the total weight of a box that by itself weighs 0.5 kilogram and contains t trophies t

hat weigh 1.6 kilograms each?
A) 1.6t+0.5
B) 1.5t
C) 0.5t+1.6
D) 0.5-1.6t
Mathematics
1 answer:
BigorU [14]3 years ago
4 0

Answer:

Option A) 1.6t+0.5

Step-by-step explanation:

Let

t ----> the number of trophies

we know that

To determine the total weight of the box, multiply the number of trophies by the weight of each trophy and add the weight of the empty box.

The linear equation that represent this problem is

1.6t+0.5

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Step-by-step explanation:

6/10 ➗ 2/5

6/10 x 5/2

(6x5)/(10x2)

30/20=3/2

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3 years ago
Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
Which of the following values would complete the ordered pair if the point is on the graph of f (x) = -3x + 2 ?
Scrat [10]

Answer: the y-coordinate that completes the point is 5.


Explanation:


An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.


The output value is y = f(x) and must be found applying the rule (function) to the given input value.


In this case the rulte is f(x) = - 3x + 2, and the input value, x,  is - 1 (the first value of the ordered pair).


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3 years ago
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