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aev [14]
3 years ago
8

How to do find the unit rate of fractions

Mathematics
2 answers:
Serhud [2]3 years ago
7 0
To find the unto rate of a fraction you divide both numbers by the bottom number so it will be whatever number over one with represents the number on top
IceJOKER [234]3 years ago
5 0
You find a unit rate by multiplying by 100<span />
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A mutual fund manager must decide how much money to invest in Atlantic Oil (A) and how much to invest in Pacific Oil (P). At lea
xenn [34]

Answer:

\frac{P}{A+P}\geqslant 0.6

Step-by-step explanation:

Amount of money to invest in Atlantic Oil= A

Amount of money to invest in Pacific Oil = P

Total money invested in the two oil companies = A+P

Since at least 60% of the money invested in the two oil companies must be in Pacific Oil

\frac{P}{A+P} \times 100\geqslant 60

\Rightarrow \frac{P}{A+P} \geqslant \frac{60}{100}

\Rightarrow \frac{P}{A+P}\geqslant 0.6

Hence the required model is \frac{P}{A+P}\geqslant 0.6

5 0
2 years ago
a physician orders aminophylline 7.5 mg per kg of body weight. the patient weighs 110 lb. if aminophylline is available in 0.125
Harman [31]

Answer:

The patient will receive 2 whole tablets.

Step-by-step explanation:

The total weight of the drug to be administered can be expressed as;

Total dose of aminophylline to be administered=Dose per weight of patient×weight of patient

where;

Dose per weight of patient=7.5 mg per kg

weight of patient=110 lb

1 kilogram=2.205 lb

weight of patient in kilograms=110/2.205=49.89 kilograms

replacing;

Total dose of aminophylline to be administered=Dose per weight of patient×weight of patient

Total dose of aminophylline to be administered=(7.5×49.89)=374.175 mg

Total weight of tablets=374.175 mg

Total weight of tablets=weight per tablet×number of tablets

where;

Total weight of tablets=374.175 mg

Weight per tablet=0.125 g

1 gram=1000 mg

Weight per tablet in mg=(1,000×0.125)=125 mg

Number of tablets=n

replacing;

Total weight of tablets=weight per tablet×number of tablets

374.175=125×n

n=374.175/125

n=2.9934

The patient will receive 2 whole tablets.

7 0
3 years ago
The product of a number and its ___________ is
Alex
Reciprocal

Explanation:
I know what I know and this is one of those things
3 0
3 years ago
Read 2 more answers
How many different triangles can you make that have angels 60˚, 60˚, 60˚ ?
svet-max [94.6K]

Answer:

Infinite

Step-by-step explanation:

A triangle that has all 60-degree angles is equilateral, which means that all side lengths are the same. However, there are infinite possibilities for the side lengths!

I hope this helped, please give brainliest if this is correct! Thank you!

3 0
2 years ago
Read 2 more answers
Find the volume of the wedge with vertices at points (0,0,0), (1,0,0), (0,1,0), (0,0,1) by integrating the area of cross-section
Angelina_Jolie [31]

Answer:

V = 1/6 cubic units

Step-by-step explanation:

Applying the concept of integrals for volume calculation:

V = \int\limits^b_a {S(x)} \, dx          (1)

V = volume of the solid bounded by x = a and x = b

S(x) = cross section area of the solid, perpendicular to the x axis

From the figure we have that S is the area of a triangle that has base Z and height Y

Area of the triangle = S(x)=\frac{y(x)*z(x)}{2}          (2)

Calculation of y(x) and z(x)

We apply the equation of the point-slope line (plane xy):

Slope = m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}          (3)

Equation of the line = y - y_{1} =m(x-x_{1} )          (4)

Replacing the points (1,0) and (0,1) in (3):

m=\frac{1-0}{0-1} =-1

Replacing the point (1,0) and m = -1 in (4):

y-0=(-1)(x-1)

y(x) = -x + 1 (Line A-B)          (5)

We apply the equation of the point-slope line (plane xz):

Slope = m = \frac{z_{2} - z_{1} }{x_{2} - x_{1}}          (6)

Equation of the line = z - z_{1} =m(x-x_{1} )          (7)

Replacing the points (1,0) and (0,1) in (6):

m=\frac{1-0}{0-1} =-1

Replacing the point (1,0) and m = -1 in (7):

z-0=(-1)(x-1)

z(x) = -x + 1 (Line A-C)        (8)

Replacing (5) and (8) in (2)

S(x) = \frac{(-x + 1) * (-x + 1)}{2} =\frac{(-x + 1)^{2} }{2}          (9)

Replacing (9) in (1) and knowing that a = 0 and b = 1:

V = \int\limits^1_0 {\frac{(-x + 1)^{2} }{2}} \, dx = \int\limits^1_0 {\frac{x^{2}-2x+1 }{2}} \, dx

V =\frac{1}{2} (\frac{x^{3} }{3} -2\frac{x^{2} }{2} +x)  evaluated from x=0 to x=1

V= \frac{1}{2} (\frac{1}{3} -1 +1) = \frac{1}{6}

3 0
3 years ago
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