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dedylja [7]
3 years ago
14

If 7x is an odd integer, represent the next odd integer as an algebraic expression in x.

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Given :

7x is an odd integer.

To Find :

The next odd integer as an algebraic expression in x.

Solution :

All positive integers are :

1 , 2 , 3 , 4 , 5 , ......

From the above series we noticed that every other odd number is 2 more than the previous one.

So , 7x is an odd number.

Therefore, next odd number is 7x + 2.

Hence, this is the required solution.

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Minchanka [31]
Your answer, in your set notation, is
{-2, 7}

5 0
3 years ago
The variables y and x have a proportional relationship, and y = 25 when x = 60.
jeka94

Answer:

A

Step-by-step explanation:

A. x = 25

4 0
3 years ago
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Simplify the expression. <br> −9(−2 − 8) + (−16) −8
Xelga [282]

Answer:

66

Step-by-step explanation:

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7 0
2 years ago
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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
PLEASE HELP!!!! 12 POINTS
alexandr1967 [171]

Answer:

12 and 1/4

Step-by-step explanation:


6 0
2 years ago
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