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Lorico [155]
3 years ago
15

A dose of medicine is made by diluting one part of concentrate to 5 parts of water. How much of the concentrate should there be

in a 90ml dose of medicine?
Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

15 ml

Step-by-step explanation:

If we mix 1 part concentrate and 5 parts water, we have 6 parts in total.

To create 90ml medicine, <em>how many "6 parts" are there?</em>

There would be 90/6 = 15 total "6 parts".

Each of the "6 parts's" 1 part is concentrate, so concentrate would be 1 * 15 = 15 ml.

<u>In ratio:</u>

\frac{Concentrate}{Total(Water+Concentrate)}=\frac{1}{5+1}=\frac{1}{6}\\\frac{1}{6}*90=15

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in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of
Xelga [282]

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

\frac{b+10}{b}=\frac{7}{5}

"Cross multiply" to get

7b=5(b+10)\\7b=5b+50\\2b=50\\b=25

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

8 0
3 years ago
Find the measure of the angle. <br> I need to show my work, please, thank you!!!
Rina8888 [55]

Answer:

148

Step-by-step explanation

A you may have studies,

x+125+23=180

x+148=180

x=132

Angle S = 132

but to find ? you have to add U and T

so it's y=125+23=148

6 0
3 years ago
What is 75 + 15x ≥ 140
melomori [17]
75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~
8 0
3 years ago
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find the length of the angle bisector of an
Sauron [17]

Answer: the length of the angle bisector of angle ∠A is 6 ft

Step-by-step explanation:

The diagram of the right angle triangle ABC is shown in the attached photo

Looking at triangle ABC,

cos θ = adjacent side/hypotenuse side

cos θ = 5/13 = 0.3846

θ = 67.38 degrees

The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.

θ/2 = 67.38/2 = 33.69 degrees

Therefore,

Cos 33.69 = 5/AD

AD × Cos 33.69 = 5

AD = 5/Cos 33.69 = 5/0.832

AD = 6 ft

3 0
3 years ago
Equation in slope intercept of (-6,2) and (4,12)
Verdich [7]

Answer:

y = x + 8

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1) = (12 - 2)/(4 - (-6)) = 10/10 = 1

y = x + b

Use point (4, 12).

12 = 4 + b

b = 8

y = x + 8

8 0
3 years ago
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