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klemol [59]
1 year ago
6

Patient A receives 3 times the amount of a certain medication as Patient B. The two doses add to 200 milligrams. What amount of

the medication does each patient receive?
Mathematics
1 answer:
EastWind [94]1 year ago
5 0

Answer:

Patient A - 150 mg

Patient B - 50 mg

Step-by-step explanation:

Since patient A gets three times more, 50 times 3 is 150. 150 plus 50 is 200, therefore, patient A gets 150 mg and patient B gets 50 mg. I hope this helps :)

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How do you evaluate 1.5x + 120 ≥ 270
Y_Kistochka [10]

1.5x + 120 ≥ 270

1.5x ≥ 150

x ≥ 100

5 0
2 years ago
Team, you have the opportunity to earn great bonuses this quarter. Your goal is to beat our competition, which brings in $1,800,
nikklg [1K]

They will have to bring in more than $600,000 a month to beat their competitors.

Step-by-step explanation:

Step 1; This establishment's competitors bring in $1,800,000 per quarter. This means that they bring in that amount of money through sales in a quarter of a year.

A quarter of a year = \frac{1}{4} × 12 months = 3 months.

So the competition brings in $1,800,000 in 3 months.

Step 2; Now we calculate how much this establishment must make to beat them.

Money to brought in a month = $1,800,000 / 3= $600,000 a month.              So the team must bring in more than $600,000 a month to beat their competitor's sales of $1,800,000 in a quarter.

5 0
2 years ago
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
LUCKY_DIMON [66]

Answer:

y2 = C1xe^(4x)

Step-by-step explanation:

Given that y1 = e^(4x) is a solution to the differential equation

y'' - 8y' + 16y = 0

We want to find the second solution y2 of the equation using the method of reduction of order.

Let

y2 = uy1

Because y2 is a solution to the differential equation, it satisfies

y2'' - 8y2' + 16y2 = 0

y2 = ue^(4x)

y2' = u'e^(4x) + 4ue^(4x)

y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)

= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)

Using these,

y2'' - 8y2' + 16y2 =

[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0

u''e^(4x) = 0

Let w = u', then w' = u''

w'e^(4x) = 0

w' = 0

Integrating this, we have

w = C1

But w = u'

u' = C1

Integrating again, we have

u = C1x

But y2 = ue^(4x)

y2 = C1xe^(4x)

And this is the second solution

5 0
2 years ago
Write an equation that represents a horizontal translation 10 units left of the graph of g(x) = |x|
Vika [28.1K]
Answer:  h(x) = |x+10|

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

Explanation:

To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10). 

So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph. 

7 0
1 year ago
Read 2 more answers
Jack,sally, and joe all work in a bookstore.jack sold 126 books.joe 1/2 as many books as jack,and sally sold 1/3 as many books a
Darina [25.2K]

Sally sold 2302323 books!

7 0
2 years ago
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