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SSSSS [86.1K]
3 years ago
12

The variables x and y vary inversely. Write an equation relating x and y.

Mathematics
1 answer:
Cloud [144]3 years ago
8 0
(x,y) also known as (4,1)
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A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus
Ne4ueva [31]

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

  250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0
3 years ago
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no m
allsm [11]

Answer:

1.99c + 59 ≥ 75, where c ≥ 8.04

Step-by-step explanation:

8 0
3 years ago
-17 rational or irrational
guajiro [1.7K]

Answer:

rational

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the Area of the figure below,
murzikaleks [220]

Answer:

169.1 unit^2 to the nearest tenth.

Step-by-step explanation:

Area of the parallelogram = base * height

= 24 * 6 unit^2.

Area of the semicircle = 1/2 pi r^2.

Here r = 1/2 * 8 = 4.

So the area is 1/2 * pi * 4^2

= 8pi unit^2.

The area of the whole figure = 24*6 + 8pi

= 169.13 unit^2.

3 0
3 years ago
Together, Tim and Tom have $2.40. Tim has three times as much as Tom. How much does each have?
Phoenix [80]
X = how much Tim has
y = how much Tom has
x + y = 2.40
x = 3y
Substitute 3y for x
3y + y = 2.40
4y = 2.40
y = 0.60
Plug in y value into previous equation
x = 3(0.60)
x = 1.80
ANSWERS: Tim has $1.80 and Tom has $0.60
8 0
3 years ago
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