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3 years ago

Solve this inequality (show your work) 30x+ 600 ≥ 1,500

Mathematics

2 answers:

12345 [234]3 years ago

8 0

Answer:

x ≥ 30

Step-by-step explanation:

30*30 = 900 and when we add 600 to that, we get 1,500 which is the lowest possible number for the left side of the equation to equal. If x equals anything above 30, then it will automatically equal a number greater than 1,500 when added to 600.

(sorry this is confusing, I'm not very good at explaining things. I hope it helped anyway)

olganol [36]3 years ago

4 0

Answer:

x > 30

Step-by-step explanation:

replace > with=

30x +600=1500

take 600 to the other side

30x=1500-600

30x=900

x=30

therefore x > 30

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3 years ago

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Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

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the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

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for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

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2 years ago

Round down this calculation to Ofe ucci piacer ). Order: Uniphyl (theophylline) 5 mg/kg po loading dose stat. The strength of th

Marta_Voda [28]

Answer:

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Step-by-step explanation:

Data provided in the question:

The dose of the Uniphyl = 5 mg/kg

Strength of the Uniphyl = 400 mg per tablet

Weight of the patient = 76 kg

Now,

The recommended dose for the patient

= Dose of the Uniphyl × weight of the patient

= 5 mg/kg × 76 kg

= 380 mg

Therefore,

The number of tablets to be administered to the patient

= $\frac{\textup{Recommended dose for the patient}}{\textup{Strength of the Uniphyl}}$

= $\frac{\textup{380}}{\textup{400}}$

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Hence,

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