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2 years ago

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To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the a

ntibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds? 400 milligrams 480 milligrams 550 milligrams 600 milligrams

2 answers:

aleksandrvk [35]2 years ago

7 0

Answer: 480 milligrams

Step-by-step explanation:

We can solve this by using direct proportion whereby y = kx

where,

x = patient's weight = 92 pounds

k = constant

y = milligrams of antibiotics = 320

Using y = kx

320 = 92k

k = 320/92

k = 3.4782609

The antibiotic that should be given to a patient who weighs 138 pounds will be:

y = kx

y = 3.4782609 × 138

y = 480 milligrams

The antibiotic that should be given to a patient who weighs 138 pounds is 480 milligrams.

loris [4]2 years ago

4 0

Anwser: <u>B - 480 milligrams</u>

Why:

Because I just took the test on Edgen.uity

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<h3>Answer: HF = 5</h3>

=============================================

Explanation:

Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.

The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.

Let y be the length of segments JA and JB.

Let z be the length of segments CF and CA.

So in short we have

x = HF = HB
y = JA = JB
z = CF = CA

We know that

CH = 13
HJ = 19
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This must mean

CH = CF+HF = z+x = 13
HJ = HB+JB = x+y = 19
CJ = CA+JA = z+y = 22

Or in short,

z+x = 13
x+y = 19
z+y = 22

Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.

Now plug this into the third equation to get

z+y = 22

(z) + y = 22

(-x+13) + y = 22 ... replace z with -x+13

-x+13+y = 22

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-x+y = 22-13 .... subtract 13 from both sides

-x+y = 9

------------------------------------

So we have this reduced system of equations of two variables and two equations

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-x+y = 9 .... what we just found above

Add the equations straight down. This is the elimination property.

Doing so leads to the x terms canceling out since x + (-x) = 0x = 0

The y terms add to y+y = 2y

The terms on the right hand side add to 19+9 = 28

We are left with 2y = 28 which solves to y = 28/2 = 14.

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In which we can then say

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Though we don't need to find z (unless you're curious about it).

Since x = 5, and we set HF equal to x, this means that HF = 5.

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Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

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Now , The given table can be written as ;

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Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

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