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DENIUS [597]
3 years ago
13

I need help with problem

Mathematics
1 answer:
topjm [15]3 years ago
8 0
D + q = 40
.10d +.25q= $7.75

d +q = 40
d =40-q
.10(40-q) +.25q= $7.75
4 - .10q + .25q =7.75
4 +.15q =7.75
4-4 +.15q =7.75-4
.15q= 3.75
.15q/.15 = 3.75/.15
q = 25

d =40-25
d = 15

Check
.10(15) +.25(25)= $7.75
1.5+6.25=7.75
7.75=7.75
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The dose of a drug is critical. Too small a dose may not treat a patient effectively, while too much can cause serious side effe
otez555 [7]

Proportionately, the amount of the drug that the patient should be given is <u>2,993.71 mg</u>.

<h3>What is the proportion?</h3>

The proportion is the ratio of a variable to another.

Proportion defines the numerical relationships among variables.

Proportion shows how much a value is contained in the whole.

<h3>Data and Calculations:</h3>

2.20462 lb = 1 kg

165 lb = 74.8428 kg (165/2.20462)

1 kg = 40 mg of the drug

74.8428 kg = 2,993.71 mg (74.8428 kg x 40 mg)

Thus, the amount of the drug that the patient should be given is <u>2,993.71 mg</u>.

Learn more about proportions at brainly.com/question/870035

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3 0
2 years ago
Find the distance between Nashville and Memphis if they are 14 in apart on a map with a scale of 1 inches:18 miles
guajiro [1.7K]

Answer:

<h2>252 mi</h2>

Step-by-step explanation:

\begin{array}{ccc}1\ in&-&18\ mi\\\\14\ in&-&x\ mi\end{array}\qquad\text{cross multiply}\\\\\\1x=(14)(18)\\\\x=252\ mi

3 0
3 years ago
An algorithm takes 0.5 seconds to run on an input of size 100. How long will it take to run on an input of size 1000 if the algo
dexar [7]

Answer:

linear: 5s

quadratic: 50s

log-linear: 0.75 s

cubic: 500s

Step-by-step explanation:

Let t_1,t_2 be the running time associated with the input of sizes s_1,s_2

If the running time is linear

t_2 = t_1\frac{s_2}{s_1} = 0.5*\frac{1000}{100} = 0.5*10 = 5s

If the running time is quadratic

t_2 = t_1\left(\frac{s_2}{s_1}\right)^2 = 0.5*\left(\frac{1000}{100}\right)^2 = 0.5*10^2 = 50s

If the running time is log-linear

t_2 = t_1\frac{log(s_2)}{log(s_1)} = 0.5*\frac{log(1000)}{log(100)} = 0.5*1.5 = 0.75s

If the running time is cubic:

t_2 = t_1\left(\frac{s_2}{s_1}\right)^3 = 0.5*\left(\frac{1000}{100}\right)^3 = 0.5*10^3 = 500s

6 0
3 years ago
What is the slope of the line through (3, 2) and (-3, 4)?
tresset_1 [31]

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)

m = \frac{4-2}{-3-3} = \frac{2}{-6} = - \frac{1}{3} → C

3 0
3 years ago
Help!!! This question is confusing me!!
erica [24]

Answer:

k ≥2

Step-by-step explanation:

k+ 1/3≥7/3

Subtract 1/3 from each side

k+ 1/3-1/3≥7/3-1/3

k ≥6/3

k ≥2

8 0
4 years ago
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