G(x) = 3x - 5
let g(x) = y
y = 3x - 5
y + 5 = 3x
3x = y + 5
x = (y + 5)/3
From y = g(x), x = g⁻¹(y)
<span>x = (y + 5)/3
</span>
g⁻¹(y) = <span>(y + 5)/3</span>
g⁻¹(x) = <span>(x + 5)/3</span>
Proportionately, the amount of the drug that the patient should be given is <u>2,993.71 mg</u>.
<h3>What is the proportion?</h3>
The proportion is the ratio of a variable to another.
Proportion defines the numerical relationships among variables.
Proportion shows how much a value is contained in the whole.
<h3>Data and Calculations:</h3>
2.20462 lb = 1 kg
165 lb = 74.8428 kg (165/2.20462)
1 kg = 40 mg of the drug
74.8428 kg = 2,993.71 mg (74.8428 kg x 40 mg)
Thus, the amount of the drug that the patient should be given is <u>2,993.71 mg</u>.
Learn more about proportions at brainly.com/question/870035
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Answer:
13
Step-by-step explanation:
Since Lupe is 3 times as many as Frances
39 ÷ 3= 13
The answer is 358 but i cant use the number line in this case.
Answer:
A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.
Step-by-step explanation:
In order for it to be a fair decision, both boys have to have an equal chance of being selected.
For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.
For choice B, there is 1 way to get both heads when flipping a coin. There are 2 ways to get heads and tails when flipping a coin. This gives Scott a greater chance, so this is not fair.
For choice C, there are 2 ways to get a 1 or a 2. There are 4 ways to get anything else. This gives Scott a greater chance, so this is not fair.
For choice D, there are 3 even numbers and 3 odd numbers. Both boys have an equal chance, so this is fair.
