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kondaur [170]
3 years ago
11

You wake up with a fever! All you can find at the store is Aspirin, and the bottle says to take 162 mg. The bottle also says eac

h tablet has 81 mg in each tablet. How many tablets should you take? 5. When you don't seem to get any better, you eventually end up in the hospital. The doctor orders 120 mg of medicine to be given twice a day. The nurse comes in with 6 tablets and tells you that there are 30 mg in each tablet. Is this the correct dosage? If not, how many tablets should you get? 6.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

You should take 2 tablets of Aspirin.

Six tablets is not the correct dosage.

You should get 4 tablets.

Step-by-step explanation:

You wake up with a fever! All you can find at the store is Aspirin, and the bottle says to take 162 mg. The bottle also says each tablet has 81 mg in each tablet. How many tablets should you take?

This can be solved by this following rule of three.

1 tablet - 81mg

x tablets - 162mg

81x = 162

x = \frac{162}{81}

x = 2

You should take 2 tablets of Aspirin.

The doctor orders 120 mg of medicine to be given twice a day. The nurse comes in with 6 tablets and tells you that there are 30 mg in each tablet. Is this the correct dosage?

We need to see how many mg are in 6 tablets. If there are 120mg in 6 tablets, this is the correct dosage. We verify this by the following rule of three:

1 tablet - 30mg

6 tablets - x mg

x = 30*6

x = 180mg.

In 6 tablets, there are 180mg. So, it is not the correct dosage.

If not, how many tablets should you get?

Knowing that each tablet has 30mg, in how many tablets are there 120mg?

1 tablet - 30 mg

x tablets - 120 mg

30x = 120

x = \frac{120}{30}

x = 4

You should get 4 tablets.

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1 6/8

Step-by-step explanation:

add 1/8 to 5/8 by adding just the numerators

1 + 5 = 6

now you have 6/8. add the 1 and you have 1 6/8

hope this helped, have a good day :)

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Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

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3 years ago
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The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.

Given that a card is randomly chosen from 8 cards shown in figure.

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Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Number of cards=8

Number of repeated cards=0

Number of cards showing Q and R =1 each.

Probability of getting Q or R is P(X=Q)+P(X=R)

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Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.

Learn more about probability at brainly.com/question/24756209

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