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3 years ago

9

A patient weighs 195 pounds and requires 279 milligrams of medicine. What is the amount of medicine required by a patient weighi

ng 130 pounds

1 answer:

WITCHER [35]3 years ago

6 0

Answer:

186 milligrams

Step-by-step explanation:

195 130

—— ——

279 X

Cross multiply

195x = 36270

——— ————

195 195

X = 186

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Find the edge length of the cube if the volume is 1/27

Likurg_2 [28]

Use this formula and solve. v=v³

meaning
$\sqrt{ \frac{1}{27} } = \sqrt{ {x}^{3} }$

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3 years ago

Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation

murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

<u>First we will solve the radical equation</u> (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because <u>when we first squared both sides of the equation in the first part of the problem we missed one value for x </u>(remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

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2 years ago

Graph the system of equations, and determine the solution.<br> x+5y=5<br> 2x+10y=60

Step2247 [10]

Step-by-step explanation:

the systems have no solution

the lines are parallel each other

graph as attached

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3 years ago

PROBLEM SOLVING A game of bowling has ten frames. After five frames, your friend’s bowling score is 65 and your bowling score $x

Elodia [21]

Considering the situation described, we have that:

a. x = 65 - 8 = 57.

b. You won the game, as you scored 137 and your friend 130.

<h3>What is the equation for the situation after five frames?</h3>

Your friend's score is of 65, and your score of x is 8 less than your friend, hence the equation is:

x = 65 - 8 = 57.

<h3>What are the final scores?</h3>

Your friend score doubled, hence his/her final score is:

2 x 65 = 130.

Your score increased by 80, hence your final score is:

57 + 80 = 137.

You won the game, as you scored 137 and your friend 130.

More can be learned about equations at brainly.com/question/25537936

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