About 180,000 people live in a 5-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

The amount of the pure drug in 75 ml will be 17.5 grams.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The ratio of the two proportional items will remain the same.

The amount of the drug is directly proportional to the contained liquid.

If 35 gms of the pure drug are contained in 150 ml.

Then the amount of the pure drug in 1 ml will be

⇒ 35 / 150

⇒ 0.2333 grams per ml

Then the amount of the pure drug in 75 ml will be

⇒ 0.2333 x 75

⇒ 17.5 grams

The amount of the pure drug in 75 ml will be 17.5 grams.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

Answer:

m∠HLI = m∠ILM

Step-by-step explanation:

Answer:

[tex]4x^2 + 12x + 8[/tex]

Step-by-step explanation:

Area of rectangle

= height * width

[tex]=4(x^2 +3x +2)\\= 4x^2 + 12x + 8[/tex]

Answer:

add 2 and 4

Step-by-step explanation:

x²+3x+6

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Step-by-step explanation:

Answer:

The answer is A (97.5)

Step-by-step explanation:

Formula Using the Diagonals

That means the two diagonals form two sides of a square that is twice the size of the rhombus. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.

(13)(15) /2 = 195 /2

(Decimal: 97.5)

Please mark brainliest!

Answer:

[tex] \boxed{f = -6} [/tex]

Step-by-step explanation:

[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]

Answer:

$2.70

Step-by-step explanation

Jennifer and Linda both bought one apple, but they bought different numbers of oranges. Looking at the numbers, we see that Linda bought 2 more oranges than Jennifer (they bought the same number of apples, so disregard apples for now, we will look at them later).

Subtracting Jennifer's cost from Linda's cost, 7.50 - 5.10 = 2.40

So, we know that 2 oranges cost $2.40, so 1 orange will then cost $1.20.

Now we know the cost of 1 orange. So, we can find the price of an apple by finding the cost of 3 oranges. 3 x 1.20 = 3.60. So, Jennifer's 3 oranges cost 3.60, and subtract this cost from the total cost and we find that 1 apple costs $1.50.

Add the price of 1 apple and 1 orange. $1.50 + $1.20 = $2.70

Answer:

(x+2)(3x+8)

Step-by-step explanation:

Answer: 7/30

Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest

Answer:

the answer

is b

i hope that helps

Answer:

Step-by-step explanation:

The rectangle in the middle has an area of 30 because it is a 3x10.  

The triangles each have an area of 6 because they are a 3x4 and the forumla to find it is .5(bh) which is .5(12)=6.  There are 2 of them so the total area of the triangles add up to 12.  

Add the area and get 42.  30+12=42

Answer:

D. -∞ < y < 5

Step-by-step explanation:

The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.

So the range is:

-∞ < y < 5

Answer:

x = -4

y = -21

Step-by-step explanation:

To solve this, we will need to set up a system of equations and get rid of a variable.

-3x - 2y = 54

-6x + 2y = -18

From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:

-3x - 2y = 54

-6x + 2y = -18

-------------------- +

-9x = 36

x = -4

Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.

-3(-4) -2y = 54

12 - 2y = 54

-2y = 42

y = -21.

Answer:

96%

Step-by-step explanation:

Take the amount spent of fruit and divide by the total

48/50

Percent means out of 100 so multiply the top and bottom by 2

96/100

96%

Answer:

If Joe has a total of 50 dollars and uses only 48 dollars and you are trying find the percentage of how much he spent, all you need to do is take the amount of money he use dives it by how much money he had in the beginning. Then multiply the number by 100 to get the percentage.

48/50=.96

.96*100=96%

In total he spent 96% of his money.

Answer:

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Divide by 4 to get 6x/4 = 3x/2

Answer: A. [tex]y = x^{2} + 6x + 8[/tex]

Step-by-step explanation:

You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is [tex]y = x^{2} + 6x + 8[/tex]

Answer:

The answer is 88%

After 7 seconds the cup is about 88% filled with water.

[tex]\text{First, simplify the equation into slope intercept form:}\\\\2y+3x=1\\\\2y=-3x+1\\\\\text{Divide by 2}\\\\y=-\frac{3}{2}x+1\\\\\text{Now, the perpendicular line is the opposite of the slope, and the opposite}\\\text{value}\\\\\text{Since our original equation is negative, the perpendicular lien will be positive}\\\\\text{And then you would just flip the fraction}\\\\\text{Your perpendicular line should be:}\\\\\boxed{y=\frac{2}{3}x+1}[/tex]

Answer:

a

Step-by-step explanation:

2x +7= 19

2x= 19 -7 (-7 on both sides)

2x= 12 (simplify)

x= 12 ÷2

x= 6

Answer:

a

Step-by-step explanation:

Given

2x + 7 = 19 ( subtract 7 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

Step-by-step explanation:

Give jamila's Mean earning = $24

let her ninth earning be x

we know that mean= (∑sumation of earnings)/number of earnings

[tex]24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}[/tex]

[tex]24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80[/tex]

Her ninth earning is $80

Answer:

a. A point

b. Obtuse angle

c. A line segment

d. 180 degrees

e. A ray

f. An acute angle

g. 90 degrees

Step-by-step explanation:

a. A point (a place on a plane that has no dimension)

b. Obtuse angle (any angle over 90 degrees)

c. A line segment (a part of a line)

d. 180 degrees (The angle of a line or line segment)

e. A ray (a line segment with one end extending forever)

f. An acute angle (Any angle under 90 degrees)

g. 90 degrees (the pole is perpendicular to the ground)

Answer:

150 mg

Step-by-step explanation:

This is an addition problem. Simply add the mg of the antibiotic that the patient takes each day.

So  you would do:

60+45+30+15 = 150

Since you get a result of 150, 150 mg is the answer.

The addition is one of the four fundamental mathematical operations. The patient will take a total of 150 mg of antibiotics.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The total amount of antibiotics the patient will take is,

Total Antibiotic = 60mg + 45mg + 30mg + 15mg = 150 mg

Hence, the patient will take a total of 150 mg of antibiotics.

Learn more about Addition:

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Answer:

6 x(6x)+6x*-1+1(6x)+1*-1  SIMPLIFIED: 36x^2-1

Step-by-step explanation:

Use foil and distributive property

Answer:

y = 10, x = 10sqrt3

Step-by-step explanation:

30-60-90 right triangles follow the ratio of x:xsqrt3:2x

In this case, 2x = 20, so y = x = 10, and x = xsqrt3 = 10sqrt3

If you are curious as to how to find these ratios, I suggest noticing that the 30-60-90 triangle is really just half of an equilateral triangle.

Answer:

x = 10sqrt(3) = 17.3

y = 10

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The short leg is half the hypotenuse.

hypotenuse = 20

short leg = y = 20/2 = 10

The long leg is sqrt(3) times the short leg.

long leg = x = 10sqrt(3) = 17.3

Answer:

-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a ball thrown downward from a window in a tall building is modeled by the equation, s = 16t² + 32t where s in feet, in order to know the time it will take to fall a distance of 276, we will substitute s = 276feet into the equation and calculate for the value of t as shown;

276 = 16t² + 32t

16t² + 32t = 276

Dividing through by 4

4t² + 8t = 69

4t² + 8t - 69 = 0

Using the general formula to find t

t = -b±√b²-4ac/2a

a = 4, b = 8 and c = -69

t = -8±√8²-4(4)(-69)/2(4)

t = -8±√64+1104/8

t = -8±√1168/8

t = -8±34.176/8

t = -8+34.176/8 or -8-34.176/8

t = 3.272 or -5.272

neglecting the negative time, t = 3secs to the nearest seconds

It will take the all 3secs to fall 276 feets

Answer:

Yes

Step-by-step explanation:

As long as the input has an output it will always be a function.

Answer:

Yes

Step-by-step explanation:

Because there isn't a number in the input colum that is repeated like:

1

1

2

3

Instead each number is individual and they aren't repeated.

If they were repeated then it would NOT be a function.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)