As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 50 milligrams of Medication A with 45 milligrams of Medication B. However this week, the doctor said to only use 36 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answer:

Step-by-step explanation:

0.6432

The direct distance from the school to the library, travelled by Alice can be

found using Pythagoras's theorem.

The number of miles Britney travelled more than Alice is; 8 miles

Reason:

The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can

be found with the formula;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

The above formula can be obtained using Pythagoras's theorem.

The distances travelled by Britney are;

Distance from the school to the mall = [tex]\sqrt{(10 - 10)^2 + (6 - (-4))^2}[/tex] = 10

Distance from the mall to the library = [tex]\sqrt{(-14 - 10)^2 + (6 - 6)^2}[/tex] = 24

Total distance travelled by Britney = 24 miles + 10 miles = 34 miles

The distance travelled by Alice is from the school to the library, which

gives; Alice's distance = [tex]\sqrt{(10 - (-14))^2 + (-4 - 6)^2}[/tex] = 26

Distance travelled by Alice from the school to the library is 26 miles

The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles

Therefore;

Britney traveled 8 miles more than Alice

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Answer:

x = 5

Step-by-step explanation:

X+3(2×-4)=-19

x + 3(-8) = -19

x - 24 = -19

x = 5

Answer:

-10

Step-by-step explanation:

Subtract 4 from both sides

m/5 = -2

Multiply by 5

m = -10

Step-by-step explanation:

4+m/5 = 2

4+m =2*5

4+m = 10

m= 10 -4

='6

Answer:

69

Step-by-step explanation:

funny number funny number

[tex]\frac{2a}{3} +13, \:a=15[/tex]

Step 1: Substitute [tex]a[/tex] for 15

[tex]\frac{2(15)}{3} +13[/tex]

Step 2: Solve

15 × 2 = 30

[tex]\frac{30}{3} +13[/tex]

30 ÷ 3 = 10

[tex]10 +13[/tex]

10 + 13 = 23

The evaluation of the expression is 23.

Answer:

The number of ways to choose 10 people out of 14 people is given by 14C10 which is read "14 choose 10"  

Only 1 of these combinations will result in no information being given to any of the 4 spies.  

Can you figure out the probability from these 2 facts?  

Step-by-step explanation:

Answer:

741/10000

Step-by-step explanation:

where's the list at ?

Answer:

Step-by-step explanation:

where is the list to give you the answer

Step-by-step explanation:

let the integer be x .

three consecutive integers : x, x+1, x+2.

according to the problem,.

Let the first of the 3 consecutive numbers be X.

Therefore the second number is (X + 1)

The third number is therefore (X + 2)

The product of the 3 consecutive numbers is:

( X )( X + 1 )( X + 2 ) = 3360 Equation( 1 )

Expanding Equation ( 1 ) gives

X³ + 3X² + 2X - 3360 = 0 Equation (2)

Solve Equation (2 ) which gives the following values for X

X1 = 14

X2 = - 8.5 + i (12.951834)

X3 = - 8.5 - i (12.951834).

the numbers are 14,15,16.

sum is 14+15+16 = 45.

hope this helps you.

Answer:

x ≈ 50.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{IK}[/tex] = [tex]\frac{6.2}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{6.2}{8}[/tex] ) ≈ 50.8° ( to the nearest tenth )

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}x=-\frac{2+6y}{7}[/tex]

[tex]\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-2-2y=-6\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=-\frac{2+6y}{7}[/tex]

[tex]\mathrm{Substitute\:}y=2[/tex]

[tex]x=-\frac{2+6\cdot \:2}{7}\\\\x=-2[/tex]

Answer:

it is an equation that is always valid

Step-by-step explanation:

3(xy) = 3(xy)

3(xy)-(3xy) = 0

0 = 0

Answer:

2/9 < 11/18 < 2/3 < 5/6

Answer:

15 minutes

Step-by-step explanation:

725 - 710 = 15

PLEASE MARK ME BRAINLIEST!!!!

Answer:

Step-by-step explanation:

Ti piacciono i banane scimmia

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm \longmapsto\:3cot\theta = 4[/tex]

[tex]\rm\implies \:cot\theta = \dfrac{4}{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } [/tex]

[tex]\rm \:  =  \: \dfrac{sin\theta \bigg[3 + 4\dfrac{cos\theta }{sin\theta } \bigg]}{sin\theta \bigg[3 - 4\dfrac{cos\theta }{sin\theta } \bigg]} [/tex]

[tex]\rm \:  =  \: \dfrac{3 + 4cot\theta }{3 - 4cot\theta } [/tex]

[tex]\rm \:  =  \: \dfrac{3 + 4 \times \dfrac{4}{3} }{3 - 4 \times \dfrac{4}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 + \dfrac{16}{3} }{3 - \dfrac{16}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{\dfrac{9 + 16}{3} }{ \dfrac{9 - 16}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{25}{ - 7} [/tex]

[tex]\rm \:  =  \: - \: \dfrac{25}{7} [/tex]

Hence,

[tex]\rm \longmapsto\:\boxed{\tt{ \dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } = - \frac{25}{7} \: }} \\ [/tex]

Additional Information:-

Relationship between sides and T ratios

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

sec θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

Reciprocal Identities

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

Co-function Identities

sin (90°−x) = cos x

cos (90°−x) = sin x

tan (90°−x) = cot x

cot (90°−x) = tan x

sec (90°−x) = cosec x

cosec (90°−x) = sec x

Fundamental Trigonometric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Answer:

y=4-3x

Step-by-step explanation:

Hope this helps!!!

Answer:

The volume of the solid is 24 in^3

Step-by-step explanation:

The most general form of the equation of the volume of a pyramid is

V = (1/3)(base area)(height)

In this case,

V = (1/3)(18 in^2)(4 in) = 24 in^3

Answer:

20

Step-by-step explanation:

[tex]f(x) = 2|x + 6| -4[/tex]

Step 1: Substitute [tex]x[/tex] for the given function.

6 is the given function.

[tex]f(x) = 2|x + 6| -4\\=f(x) = 2|6 + 6| -4\\\\f(x) = 2|6 + 6| -4\\=24-4\\\\=20[/tex]

Answer:

I personally have no idea how to do this but quizlet might have the answer

Sorry hope this helps though

Step-by-step explanation:

Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

    A domain can not have multiple ranges. A range can have multiple domains though.

The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.

In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

y = 7x + 35, x members joining the fitness club and y is cost.

(a) As you can see from the equation, y depends on the value of x,

(b) Calculate the amount of x = 6 (as given)

y = 7 × 6 + 35

y = 42 + 35

y = $77

The domain of the function is 6 and the range is 77.

(c) Yes, as we put the values in x, y also changes, so it is a function.

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Answer:

f(5)=14

f(3)=122

Step-by-step explanation:

Answer:

Answer is 33

Step-by-step explanation:

If x equals 3, then the equation simplifies to 6 squared - (9/3)

9 divided by 3 is 3, then 6 squared is 36.

36-3 = 33. Hope this helps!

Answer:

1 dozen = 12 units

7 dozen = 12 × 7 = 84 units

Correct unit price = 103.32 ÷ 84 = $1.23

The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.

The price he calculated is for the price for 1 dozen, not 1 unit

Step-by-step explanation:

Answer:

sry but i can't help you with it bcz i don't understand spanish can u write it in clear english

Sry